Index

_

__init__() (sympy.vector.coordsysrect.CoordSys3D method) (sympy.vector.orienters.AxisOrienter method) (sympy.vector.orienters.BodyOrienter method) (sympy.vector.orienters.QuaternionOrienter method) (sympy.vector.orienters.SpaceOrienter method) _base_ordering() (in module sympy.combinatorics.util) _check_cycles_alt_sym() (in module sympy.combinatorics.util) _cmp_perm_lists() (in module sympy.combinatorics.testutil) _distribute_gens_by_base() (in module sympy.combinatorics.util) _handle_precomputed_bsgs() (in module sympy.combinatorics.util) _linear_2eq_order1_type1() (in module sympy.solvers.ode) _linear_2eq_order1_type2() (in module sympy.solvers.ode) _linear_2eq_order1_type3() (in module sympy.solvers.ode) _linear_2eq_order1_type4() (in module sympy.solvers.ode) _linear_2eq_order1_type5() (in module sympy.solvers.ode) _linear_2eq_order1_type6() (in module sympy.solvers.ode) _linear_2eq_order1_type7() (in module sympy.solvers.ode) _linear_2eq_order2_type1() (in module sympy.solvers.ode) _linear_2eq_order2_type10() (in module sympy.solvers.ode) _linear_2eq_order2_type11() (in module sympy.solvers.ode) _linear_2eq_order2_type2() (in module sympy.solvers.ode) _linear_2eq_order2_type3() (in module sympy.solvers.ode) _linear_2eq_order2_type4() (in module sympy.solvers.ode) _linear_2eq_order2_type5() (in module sympy.solvers.ode) _linear_2eq_order2_type6() (in module sympy.solvers.ode) _linear_2eq_order2_type7() (in module sympy.solvers.ode)

_linear_2eq_order2_type8() (in module sympy.solvers.ode) _linear_2eq_order2_type9() (in module sympy.solvers.ode) _linear_3eq_order1_type1() (in module sympy.solvers.ode) _linear_3eq_order1_type2() (in module sympy.solvers.ode) _linear_3eq_order1_type3() (in module sympy.solvers.ode) _linear_3eq_order1_type4() (in module sympy.solvers.ode) _linear_neq_order1_type1() (in module sympy.solvers.ode) _naive_list_centralizer() (in module sympy.combinatorics.testutil) _nonlinear_2eq_order1_type1() (in module sympy.solvers.ode) _nonlinear_2eq_order1_type2() (in module sympy.solvers.ode) _nonlinear_2eq_order1_type3() (in module sympy.solvers.ode) _nonlinear_2eq_order1_type4() (in module sympy.solvers.ode) _nonlinear_2eq_order1_type5() (in module sympy.solvers.ode) _nonlinear_3eq_order1_type1() (in module sympy.solvers.ode) _nonlinear_3eq_order1_type2() (in module sympy.solvers.ode) _nonlinear_3eq_order1_type3() (in module sympy.solvers.ode) _nonlinear_3eq_order1_type4() (in module sympy.solvers.ode) _nonlinear_3eq_order1_type5() (in module sympy.solvers.ode) _orbits_transversals_from_bsgs() (in module sympy.combinatorics.util) _print() (sympy.printing.printer.Printer method) _remove_gens() (in module sympy.combinatorics.util) _strip() (in module sympy.combinatorics.util) _strong_gens_from_distr() (in module sympy.combinatorics.util) _TensorManager (class in sympy.tensor.tensor) _verify_bsgs() (in module sympy.combinatorics.testutil) _verify_centralizer() (in module sympy.combinatorics.testutil) _verify_normal_closure() (in module sympy.combinatorics.testutil)

A

A() (sympy.physics.optics.gaussopt.RayTransferMatrix property) a() (sympy.physics.quantum.shor.CMod property) a1pt_theory() (sympy.physics.vector.point.Point method) a2idx() (in module sympy.matrices.matrices) a2pt_theory() (sympy.physics.vector.point.Point method) a_interval() (sympy.sets.fancysets.ComplexRegion property) abbrev() (sympy.physics.units.quantities.Quantity property) AbelianGroup() (in module sympy.combinatorics.named_groups) above() (sympy.printing.pretty.stringpict.stringPict method) Abs (class in sympy.functions.elementary.complexes) abs() (sympy.polys.domains.domain.Domain method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) acc() (sympy.physics.vector.point.Point method) accepted_latex_functions (in module sympy.printing.latex) acos (class in sympy.functions.elementary.trigonometric) acosh (class in sympy.functions.elementary.hyperbolic) acot (class in sympy.functions.elementary.trigonometric) acoth (class in sympy.functions.elementary.hyperbolic) acsc (class in sympy.functions.elementary.trigonometric) acsch (class in sympy.functions.elementary.hyperbolic) Add (class in sympy.core.add) add() (sympy.assumptions.assume.AssumptionsContext method) Add() (sympy.assumptions.handlers.calculus.AskFiniteHandler static method) (sympy.assumptions.handlers.order.AskNegativeHandler static method) (sympy.assumptions.handlers.sets.AskAntiHermitianHandler static method) (sympy.assumptions.handlers.sets.AskHermitianHandler static method) (sympy.assumptions.handlers.sets.AskImaginaryHandler static method) (sympy.assumptions.handlers.sets.AskIntegerHandler static method) (sympy.assumptions.handlers.sets.AskRationalHandler static method) (sympy.assumptions.handlers.sets.AskRealHandler static method) add() (sympy.matrices.matrices.MatrixBase method) (sympy.polys.domains.domain.Domain method) (sympy.polys.polyclasses.DMF method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) (sympy.polys.rings.PolyRing method) add_as_roots() (sympy.liealgebras.root_system.RootSystem method) add_gens() (sympy.polys.rings.PolyRing method) add_ground() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) add_simple_roots() (sympy.liealgebras.root_system.RootSystem method) affine_rank() (sympy.geometry.point.Point static method) airyai (class in sympy.functions.special.bessel) airyaiprime (class in sympy.functions.special.bessel) AiryBase (class in sympy.functions.special.bessel) airybi (class in sympy.functions.special.bessel) airybiprime (class in sympy.functions.special.bessel) alg_con() (sympy.physics.mechanics.system.SymbolicSystem property) algebraic algebraic() (sympy.assumptions.ask.AssumptionKeys property) algebraic_field() (sympy.polys.domains.AlgebraicField method) (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.IntegerRing method) (sympy.polys.domains.RationalField method) AlgebraicField (class in sympy.polys.domains) AlgebraicNumber (class in sympy.polys.numberfields) alignof() (in module sympy.codegen.cnodes) all_coeffs() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) all_monoms() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) all_roots() (sympy.liealgebras.root_system.RootSystem method) (sympy.polys.polytools.Poly method) all_terms() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) allhints (in module sympy.solvers.ode) allocated() (in module sympy.codegen.fnodes) almosteq() (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.RealField method) (sympy.polys.rings.PolyElement method) alternating() (sympy.combinatorics.generators method) AlternatingGroup() (in module sympy.combinatorics.named_groups) altitudes() (sympy.geometry.polygon.Triangle property) ambient_dimension() (sympy.geometry.entity.GeometryEntity property) (sympy.geometry.line.LinearEntity property) (sympy.geometry.point.Point property) amplitude() (sympy.physics.optics.waves.TWave property) an() (sympy.functions.special.hyper.meijerg property) And (class in sympy.logic.boolalg) ang_acc_in() (sympy.physics.vector.frame.ReferenceFrame method) ang_vel_in() (sympy.physics.vector.frame.ReferenceFrame method) angle() (sympy.physics.optics.gaussopt.GeometricRay property) angle_between() (sympy.geometry.line.LinearEntity method) (sympy.geometry.plane.Plane method) angles() (sympy.geometry.polygon.Polygon property) (sympy.geometry.polygon.RegularPolygon property) angular_momentum() (in module sympy.physics.mechanics.functions) (sympy.physics.mechanics.particle.Particle method) (sympy.physics.mechanics.rigidbody.RigidBody method) angular_velocity() (sympy.physics.optics.waves.TWave property) AnnihilateBoson (class in sympy.physics.secondquant) AnnihilateFermion (class in sympy.physics.secondquant) annotated() (in module sympy.printing.pretty.pretty_symbology) ANP (class in sympy.polys.polyclasses) AntiCommutator (class in sympy.physics.quantum.anticommutator) antidivisor_count() (in module sympy.ntheory.factor_) antidivisors() (in module sympy.ntheory.factor_) antihermitian antihermitian() (sympy.assumptions.ask.AssumptionKeys property) AntiSymmetricTensor (class in sympy.physics.secondquant) aother() (sympy.functions.special.hyper.meijerg property) ap() (sympy.functions.special.hyper.hyper property) (sympy.functions.special.hyper.meijerg property) apart() (in module sympy.polys.partfrac) (sympy.core.expr.Expr method) apart_list() (in module sympy.polys.partfrac) apoapsis() (sympy.geometry.ellipse.Ellipse property) apothem() (sympy.geometry.polygon.RegularPolygon property) append() (sympy.plotting.plot.Plot method) applied_loads() (sympy.physics.continuum_mechanics.beam.Beam property) AppliedPredicate (class in sympy.assumptions.assume) apply() (sympy.printing.pretty.stringpict.prettyForm static method) (sympy.simplify.epathtools.EPath method) apply_finite_diff() (in module sympy.calculus.finite_diff) apply_force() (sympy.physics.mechanics.body.Body method) apply_grover() (in module sympy.physics.quantum.grover) apply_load() (sympy.physics.continuum_mechanics.beam.Beam method) apply_operator() (sympy.physics.secondquant.AnnihilateBoson method) (sympy.physics.secondquant.AnnihilateFermion method) (sympy.physics.secondquant.CreateBoson method) (sympy.physics.secondquant.CreateFermion method) apply_operators() (in module sympy.physics.secondquant) apply_support() (sympy.physics.continuum_mechanics.beam.Beam method) apply_torque() (sympy.physics.mechanics.body.Body method) applyfunc() (sympy.matrices.sparse.SparseMatrix method) (sympy.physics.vector.dyadic.Dyadic method) (sympy.physics.vector.vector.Vector method) approximation() (sympy.core.numbers.NumberSymbol method) arbitrary_point() (sympy.geometry.curve.Curve method) (sympy.geometry.ellipse.Ellipse method) (sympy.geometry.line.LinearEntity method) (sympy.geometry.plane.Plane method) (sympy.geometry.polygon.Polygon method) Arcsin() (in module sympy.stats) are_collinear() (sympy.geometry.point.Point3D static method)

are_concurrent() (sympy.geometry.line.LinearEntity static method) (sympy.geometry.plane.Plane static method) are_coplanar() (sympy.geometry.point.Point class method) are_similar() (in module sympy.geometry.util) area() (sympy.geometry.ellipse.Ellipse property) (sympy.geometry.polygon.Polygon property) (sympy.geometry.polygon.RegularPolygon property) arg (class in sympy.functions.elementary.complexes) arg() (sympy.assumptions.assume.AppliedPredicate property) args() (sympy.core.basic.Basic property) (sympy.geometry.polygon.RegularPolygon property) (sympy.polys.polytools.Poly property) args_cnc() (sympy.core.expr.Expr method) Argument (class in sympy.utilities.codegen) argument() (sympy.functions.special.bessel.BesselBase property) (sympy.functions.special.hyper.hyper property) (sympy.functions.special.hyper.meijerg property) array() (in module sympy.codegen.fnodes) array_form() (sympy.combinatorics.permutations.Permutation property) (sympy.combinatorics.polyhedron.Polyhedron property) ArrayConstructor (class in sympy.codegen.fnodes) ArrowStringDescription (class in sympy.categories.diagram_drawing) as_base_exp() (sympy.core.function.Function method) (sympy.core.power.Pow method) as_coeff_Add() (sympy.core.add.Add method) as_coeff_add() (sympy.core.add.Add method) as_coeff_Add() (sympy.core.expr.Expr method) as_coeff_add() (sympy.core.expr.Expr method) as_coeff_Add() (sympy.core.numbers.Number method) (sympy.core.numbers.Rational method) as_coeff_exponent() (sympy.core.expr.Expr method) as_coeff_Mul() (sympy.core.expr.Expr method) as_coeff_mul() (sympy.core.expr.Expr method) as_coeff_Mul() (sympy.core.mul.Mul method) (sympy.core.numbers.Number method) (sympy.core.numbers.Rational method) (sympy.core.numbers.Zero method) (sympy.matrices.expressions.MatrixExpr method) as_coefficient() (sympy.core.expr.Expr method) as_coefficients_dict() (sympy.core.add.Add method) (sympy.core.expr.Expr method) (sympy.core.mul.Mul method) as_content_primitive() (sympy.core.add.Add method) (sympy.core.basic.Basic method) (sympy.core.expr.Expr method) (sympy.core.mul.Mul method) (sympy.core.numbers.Rational method) (sympy.core.power.Pow method) as_Declaration() (sympy.codegen.ast.Variable method) as_dict() (sympy.combinatorics.partitions.IntegerPartition method) (sympy.polys.polytools.Poly method) as_dummy() (sympy.core.symbol.Symbol method) as_explicit() (sympy.matrices.expressions.MatrixExpr method) as_expr() (sympy.core.expr.Expr method) (sympy.polys.numberfields.AlgebraicNumber method) (sympy.polys.polytools.Poly method) as_ferrers() (sympy.combinatorics.partitions.IntegerPartition method) as_finite_diff() (in module sympy.calculus.finite_diff) as_finite_difference() (sympy.core.function.Derivative method) as_immutable() (sympy.matrices.sparse.SparseMatrix method) as_independent() (sympy.core.expr.Expr method) as_int() (in module sympy.core.compatibility) as_leading_term() (sympy.core.expr.Expr method) as_list() (sympy.polys.polytools.Poly method) as_mutable() (sympy.matrices.expressions.MatrixExpr method) (sympy.matrices.sparse.SparseMatrix method) as_numer_denom() (sympy.core.expr.Expr method) as_ordered_factors() (sympy.core.expr.Expr method) (sympy.core.mul.Mul method) as_ordered_terms() (sympy.core.expr.Expr method) as_poly() (sympy.core.basic.Basic method) (sympy.polys.numberfields.AlgebraicNumber method) as_powers_dict() (sympy.core.expr.Expr method) as_real_imag() (sympy.core.add.Add method) (sympy.core.expr.Expr method) (sympy.functions.elementary.complexes.im method) (sympy.functions.elementary.complexes.re method) as_relational() (sympy.sets.sets.FiniteSet method) (sympy.sets.sets.Intersection method) (sympy.sets.sets.Interval method) (sympy.sets.sets.Union method) as_sum() (sympy.integrals.Integral method) as_terms() (sympy.core.expr.Expr method) as_two_terms() (sympy.core.add.Add method) (sympy.core.mul.Mul method) ascents() (sympy.combinatorics.permutations.Permutation method) asec (class in sympy.functions.elementary.trigonometric) asech (class in sympy.functions.elementary.hyperbolic) asin (class in sympy.functions.elementary.trigonometric) asinh (class in sympy.functions.elementary.hyperbolic) ask() (in module sympy.assumptions.ask) ask_full_inference() (in module sympy.assumptions.ask) AskAlgebraicHandler (class in sympy.assumptions.handlers.sets) AskAntiHermitianHandler (class in sympy.assumptions.handlers.sets) AskComplexHandler (class in sympy.assumptions.handlers.sets) AskExtendedRealHandler (class in sympy.assumptions.handlers.sets) AskFiniteHandler (class in sympy.assumptions.handlers.calculus) AskHermitianHandler (class in sympy.assumptions.handlers.sets) AskImaginaryHandler (class in sympy.assumptions.handlers.sets) AskIntegerHandler (class in sympy.assumptions.handlers.sets) AskNegativeHandler (class in sympy.assumptions.handlers.order) AskNonZeroHandler (class in sympy.assumptions.handlers.order) AskOddHandler (class in sympy.assumptions.handlers.ntheory) AskPositiveHandler (class in sympy.assumptions.handlers.order) AskPrimeHandler (class in sympy.assumptions.handlers.ntheory) AskRationalHandler (class in sympy.assumptions.handlers.sets) AskRealHandler (class in sympy.assumptions.handlers.sets) assemble_partfrac_list() (in module sympy.polys.partfrac) Assignment (class in sympy.codegen.ast) (class in sympy.printing.codeprinter) AssignmentError assoc_laguerre (class in sympy.functions.special.polynomials) assoc_legendre (class in sympy.functions.special.polynomials) assoc_recurrence_memo() (in module sympy.utilities.memoization) assuming() (in module sympy.assumptions.assume) AssumptionKeys (class in sympy.assumptions.ask) assumptions0() (sympy.core.basic.Basic property) AssumptionsContext (class in sympy.assumptions.assume) atan (class in sympy.functions.elementary.trigonometric) atan2 (class in sympy.functions.elementary.trigonometric) atanh (class in sympy.functions.elementary.hyperbolic) Atom (class in sympy.core.basic) AtomicExpr (class in sympy.core.expr) atoms() (sympy.combinatorics.permutations.Permutation method) (sympy.core.basic.Basic method) atoms_table (in module sympy.printing.pretty.pretty_symbology) attr_params() (sympy.codegen.ast.Node method) Attribute (class in sympy.codegen.ast) aug_assign() (in module sympy.codegen.ast) AugmentedAssignment (class in sympy.codegen.ast) auto_number() (in module sympy.parsing.sympy_parser) auto_symbol() (in module sympy.parsing.sympy_parser) autowrap() (in module sympy.utilities.autowrap) auxiliary_eqs() (sympy.physics.mechanics.kane.KanesMethod property) AxisOrienter (class in sympy.vector.orienters) AZ() (in module sympy.crypto.crypto)

B

B (in module sympy.physics.secondquant) B() (sympy.physics.optics.gaussopt.RayTransferMatrix property) b_interval() (sympy.sets.fancysets.ComplexRegion property) base() (sympy.combinatorics.perm_groups.PermutationGroup property) (sympy.tensor.indexed.Indexed property) base_oneform() (sympy.diffgeom.CoordSystem method) base_oneforms() (sympy.diffgeom.CoordSystem method) base_solution_linear() (in module sympy.solvers.diophantine) base_vector() (sympy.diffgeom.CoordSystem method) base_vectors() (sympy.diffgeom.CoordSystem method) BaseCovarDerivativeOp (class in sympy.diffgeom) BasePolynomialError (class in sympy.polys.polyerrors) BaseScalarField (class in sympy.diffgeom) BaseSeries (class in sympy.plotting.plot) baseswap() (sympy.combinatorics.perm_groups.PermutationGroup method) BaseVectorField (class in sympy.diffgeom) Basic (class in sympy.core.basic) basic_orbits() (sympy.combinatorics.perm_groups.PermutationGroup property) basic_root() (sympy.liealgebras.type_a.TypeA method) (sympy.liealgebras.type_b.TypeB method) (sympy.liealgebras.type_c.TypeC method) (sympy.liealgebras.type_d.TypeD method) (sympy.liealgebras.type_e.TypeE method) (sympy.liealgebras.type_f.TypeF method) basic_stabilizers() (sympy.combinatorics.perm_groups.PermutationGroup property) basic_transversals() (sympy.combinatorics.perm_groups.PermutationGroup property) basis() (sympy.liealgebras.type_a.TypeA method) (sympy.liealgebras.type_b.TypeB method) (sympy.liealgebras.type_c.TypeC method) (sympy.liealgebras.type_d.TypeD method) (sympy.liealgebras.type_e.TypeE method) (sympy.liealgebras.type_f.TypeF method) (sympy.liealgebras.type_g.TypeG method) (sympy.polys.agca.modules.FreeModule method) BBra (in module sympy.physics.secondquant) Bd (in module sympy.physics.secondquant) Beam (class in sympy.physics.continuum_mechanics.beam) BeamParameter (class in sympy.physics.optics.gaussopt) bell (class in sympy.functions.combinatorial.numbers) below() (sympy.printing.pretty.stringpict.stringPict method) bending_moment() (sympy.physics.continuum_mechanics.beam.Beam method) Benini() (in module sympy.stats) bernoulli (class in sympy.functions.combinatorial.numbers) Bernoulli() (in module sympy.stats) BesselBase (class in sympy.functions.special.bessel) besseli (class in sympy.functions.special.bessel) besselj (class in sympy.functions.special.bessel) besselk (class in sympy.functions.special.bessel) besselsimp() (in module sympy.simplify.simplify)

bessely (class in sympy.functions.special.bessel) beta (class in sympy.functions.special.beta_functions) Beta() (in module sympy.stats) BetaPrime() (in module sympy.stats) bifid5_square() (in module sympy.crypto.crypto), [1] bifid6_square() (in module sympy.crypto.crypto) bin_to_gray() (sympy.combinatorics.graycode method) binary_function() (in module sympy.utilities.autowrap) binary_partitions() (in module sympy.utilities.iterables) bind_C() (in module sympy.codegen.fnodes) binomial (class in sympy.functions.combinatorial.factorials) Binomial() (in module sympy.stats) binomial_coefficients() (in module sympy.ntheory.multinomial) binomial_coefficients_list() (in module sympy.ntheory.multinomial) bisectors() (sympy.geometry.polygon.Triangle method) bitlist_from_subset() (sympy.combinatorics.subsets.Subset class method) BKet (in module sympy.physics.secondquant) block_collapse() (in module sympy.matrices.expressions.blockmatrix) BlockDiagMatrix (class in sympy.matrices.expressions.blockmatrix) BlockMatrix (class in sympy.matrices.expressions.blockmatrix) bm() (sympy.functions.special.hyper.meijerg property) bodies() (sympy.physics.mechanics.system.SymbolicSystem property) Body (class in sympy.physics.mechanics.body) BodyOrienter (class in sympy.vector.orienters) bool_map() (in module sympy.logic.boolalg) BooleanFalse (class in sympy.logic.boolalg) BooleanTrue (class in sympy.logic.boolalg) BosonicBasis (class in sympy.physics.secondquant) bother() (sympy.functions.special.hyper.meijerg property) boundary() (sympy.sets.sets.Set property) boundary_conditions() (sympy.physics.continuum_mechanics.beam.Beam property) bounded() (sympy.assumptions.ask.AssumptionKeys property) bounds() (sympy.geometry.ellipse.Ellipse property) (sympy.geometry.entity.GeometryEntity property) (sympy.geometry.line.LinearEntity2D property) (sympy.geometry.point.Point2D property) (sympy.geometry.polygon.Polygon property) bq() (sympy.functions.special.hyper.hyper property) (sympy.functions.special.hyper.meijerg property) Bra (class in sympy.physics.quantum.state) bra() (sympy.physics.quantum.operator.OuterProduct property) (sympy.physics.secondquant.InnerProduct property) BraBase (class in sympy.physics.quantum.state) bracelets() (in module sympy.utilities.iterables) BreakToken (class in sympy.codegen.ast) brewster_angle() (in module sympy.physics.optics.utils) bsgs_direct_product() (in module sympy.combinatorics.tensor_can) bspline_basis() (in module sympy.functions.special.bsplines) bspline_basis_set() (in module sympy.functions.special.bsplines) build_expression_tree() (in module sympy.series.gruntz)

C

C() (sympy.physics.optics.gaussopt.RayTransferMatrix property) C89CodePrinter (class in sympy.printing.ccode) C99CodePrinter (class in sympy.printing.ccode) cacheit() (in module sympy.core.cache) calculate_series() (in module sympy.series.gruntz) can_transf_matrix() (sympy.physics.units.dimensions.DimensionSystem property) canberra_distance() (sympy.geometry.point.Point method) cancel() (in module sympy.polys.polytools) (sympy.core.expr.Expr method) (sympy.polys.polyclasses.DMF method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) (sympy.polys.rings.PolyElement method) canon_bp() (in module sympy.tensor.tensor) (sympy.tensor.tensor.TensAdd method) (sympy.tensor.tensor.TensMul method) canonical_variables() (sympy.core.basic.Basic property) canonicalize() (in module sympy.combinatorics.tensor_can) capture() (in module sympy.utilities.iterables) cardinality() (sympy.combinatorics.permutations.Permutation property) (sympy.combinatorics.subsets.Subset property) cartan_matrix() (sympy.liealgebras.root_system.RootSystem method) (sympy.liealgebras.type_a.TypeA method) (sympy.liealgebras.type_b.TypeB method) (sympy.liealgebras.type_c.TypeC method) (sympy.liealgebras.type_d.TypeD method) (sympy.liealgebras.type_e.TypeE method) (sympy.liealgebras.type_f.TypeF method) (sympy.liealgebras.type_g.TypeG method) CartanMatrix() (in module sympy.liealgebras.cartan_matrix) CartanType_generator (class in sympy.liealgebras.cartan_type) casoratian() (in module sympy.matrices.dense) cast_check() (sympy.codegen.ast.Type method) cast_nocheck (sympy.codegen.ast.FloatBaseType attribute) cast_nocheck() (sympy.codegen.ast.FloatType method) Catalan (class in sympy.core.numbers) catalan (class in sympy.functions.combinatorial.numbers) Category (class in sympy.categories) Cauchy() (in module sympy.stats) Cbrt (class in sympy.codegen.cfunctions) cbrt() (in module sympy.functions.elementary.miscellaneous) ccode() (in module sympy.printing.ccode) CCodeGen (class in sympy.utilities.codegen) ceiling (class in sympy.functions.elementary.integers) center() (sympy.combinatorics.perm_groups.PermutationGroup method) (sympy.geometry.ellipse.Ellipse property) (sympy.geometry.polygon.RegularPolygon property) central_inertia() (sympy.physics.mechanics.rigidbody.RigidBody property) centralizer() (sympy.combinatorics.perm_groups.PermutationGroup method) centroid() (in module sympy.geometry.util) (sympy.geometry.polygon.Polygon property) (sympy.geometry.polygon.RegularPolygon property) CG (class in sympy.physics.quantum.cg) cg_simp() (in module sympy.physics.quantum.cg) CGate (class in sympy.physics.quantum.gate) CGateS (class in sympy.physics.quantum.gate) characteristic() (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.FiniteField method) chebyshevt (class in sympy.functions.special.polynomials) chebyshevt_poly() (in module sympy.polys.orthopolys) chebyshevt_root (class in sympy.functions.special.polynomials) chebyshevu (class in sympy.functions.special.polynomials) chebyshevu_poly() (in module sympy.polys.orthopolys) chebyshevu_root (class in sympy.functions.special.polynomials) check_and_join() (in module sympy.crypto.crypto) check_assumptions() (in module sympy.solvers.solvers) check_output() (sympy.utilities.runtests.SymPyOutputChecker method) checkinfsol() (in module sympy.solvers.ode) checkodesol() (in module sympy.solvers.ode) checkpdesol() (in module sympy.solvers.pde) checksol() (in module sympy.solvers.solvers) Chi (class in sympy.functions.special.error_functions) Chi() (in module sympy.stats) ChiNoncentral() (in module sympy.stats) ChiSquared() (in module sympy.stats) cholesky() (sympy.matrices.matrices.MatrixBase method) (sympy.matrices.sparse.SparseMatrix method) cholesky_solve() (sympy.matrices.matrices.MatrixBase method) Ci (class in sympy.functions.special.error_functions) Circle (class in sympy.geometry.ellipse) circuit_plot() (in module sympy.physics.quantum.circuitplot) CircuitPlot (class in sympy.physics.quantum.circuitplot) circumcenter() (sympy.geometry.polygon.RegularPolygon property) (sympy.geometry.polygon.Triangle property) circumcircle() (sympy.geometry.polygon.RegularPolygon property) (sympy.geometry.polygon.Triangle property) circumference() (sympy.geometry.ellipse.Circle property) (sympy.geometry.ellipse.Ellipse property) circumradius() (sympy.geometry.polygon.RegularPolygon property) (sympy.geometry.polygon.Triangle property) CL() (sympy.matrices.sparse.SparseMatrix property) class_key() (sympy.core.add.Add class method) (sympy.core.basic.Basic class method) classify_diop() (in module sympy.solvers.diophantine) classify_ode() (in module sympy.solvers.ode) classify_pde() (in module sympy.solvers.pde) classof() (in module sympy.matrices.matrices) clear() (sympy.tensor.tensor._TensorManager method) clear_denoms() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) clebsch_gordan() (in module sympy.physics.wigner) closing_angle() (sympy.geometry.line.Ray2D method) closure() (sympy.sets.sets.Set property) CMod (class in sympy.physics.quantum.shor) cmplx (class in sympy.codegen.fnodes) CNOT (in module sympy.physics.quantum.gate) CNotGate (class in sympy.physics.quantum.gate) CodeBlock (class in sympy.codegen.ast) CodeGen (class in sympy.utilities.codegen) codegen() (in module sympy.utilities.codegen) CodePrinter (class in sympy.printing.codeprinter) CodeWrapper (class in sympy.utilities.autowrap) codomain() (sympy.categories.CompositeMorphism property) (sympy.categories.Morphism property) coeff() (sympy.core.expr.Expr method) (sympy.polys.rings.PolyElement method) (sympy.series.sequences.SeqBase method) coeff_monomial() (sympy.polys.polytools.Poly method) coeff_mul() (sympy.series.sequences.EmptySequence method) (sympy.series.sequences.SeqBase method) (sympy.series.sequences.SeqFormula method) (sympy.series.sequences.SeqPer method) coefficients() (sympy.geometry.line.Line2D property) coeffs() (sympy.polys.numberfields.AlgebraicNumber method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) (sympy.polys.rings.PolyElement method) CoercionFailed (class in sympy.polys.polyerrors) cofactors() (in module sympy.polys.polytools) (sympy.core.numbers.Number method) (sympy.polys.domains.domain.Domain method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) coherent_state() (in module sympy.physics.qho_1d) Coin() (in module sympy.stats) col_del() (sympy.matrices.dense.MutableDenseMatrix method) (sympy.matrices.sparse.MutableSparseMatrix method) col_join() (sympy.matrices.sparse.MutableSparseMatrix method) col_list() (sympy.matrices.sparse.SparseMatrix method) col_op() (sympy.matrices.dense.MutableDenseMatrix method) (sympy.matrices.sparse.MutableSparseMatrix method) col_swap() (sympy.matrices.dense.MutableDenseMatrix method) (sympy.matrices.sparse.MutableSparseMatrix method) collect() (in module sympy.simplify.radsimp) (sympy.core.expr.Expr method) collect_const() (in module sympy.simplify.radsimp) collect_sqrt() (in module sympy.simplify.radsimp) comb_explicit_rhs() (sympy.physics.mechanics.system.SymbolicSystem property) comb_implicit_mat() (sympy.physics.mechanics.system.SymbolicSystem property) comb_implicit_rhs() (sympy.physics.mechanics.system.SymbolicSystem property) combsimp() (in module sympy.simplify.combsimp) (sympy.core.expr.Expr method) comm_i2symbol() (sympy.tensor.tensor._TensorManager method) comm_symbols2i() (sympy.tensor.tensor._TensorManager method) CommaOperator (class in sympy.codegen.cnodes) Comment (class in sympy.codegen.ast) common_prefix() (in module sympy.utilities.iterables) common_suffix() (in module sympy.utilities.iterables) commutative commutative() (sympy.assumptions.ask.AssumptionKeys property) commutative_diagrams() (sympy.categories.Category property) Commutator (class in sympy.diffgeom) (class in sympy.physics.quantum.commutator) (class in sympy.physics.secondquant) commutator() (sympy.combinatorics.perm_groups.PermutationGroup method) (sympy.combinatorics.permutations.Permutation method) commutes_with() (sympy.combinatorics.permutations.Permutation method) (sympy.tensor.tensor.TensorHead method)

compare() (in module sympy.series.gruntz) (sympy.core.basic.Basic method) Complement (class in sympy.sets.sets) complement() (sympy.sets.sets.Set method) complex complex() (sympy.assumptions.ask.AssumptionKeys property) complex_elements() (sympy.assumptions.ask.AssumptionKeys property) ComplexInfinity (class in sympy.core.numbers) ComplexRegion (class in sympy.sets.fancysets) ComplexRootOf (class in sympy.polys.rootoftools) ComplexSpace (class in sympy.physics.quantum.hilbert) ComplexType (class in sympy.codegen.ast) components() (sympy.categories.CompositeMorphism property) (sympy.vector.dyadic.Dyadic property) (sympy.vector.vector.Vector property) compose() (in module sympy.polys.polytools) (sympy.categories.Morphism method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) (sympy.polys.rings.PolyRing method) composite composite() (in module sympy.ntheory.generate) (sympy.assumptions.ask.AssumptionKeys property) CompositeDomain (class in sympy.polys.domains.compositedomain) CompositeMorphism (class in sympy.categories) compositepi() (in module sympy.ntheory.generate) composition() (sympy.holonomic.holonomic.HolonomicFunction method) ComputationFailed (class in sympy.polys.polyerrors) compute_explicit_form() (sympy.physics.mechanics.system.SymbolicSystem method) compute_fps() (in module sympy.series.formal) compute_known_facts() (in module sympy.assumptions.ask) compute_leading_term() (sympy.core.expr.Expr method) conclusions() (sympy.categories.Diagram property) condition_number() (sympy.matrices.matrices.MatrixBase method) ConditionalDomain (class in sympy.stats.rv) conjugate (class in sympy.functions.elementary.complexes) conjugate() (sympy.combinatorics.partitions.IntegerPartition property) conjugate_gauss_beams() (in module sympy.physics.optics.gaussopt) connect_to() (sympy.diffgeom.CoordSystem method) conserve_mpmath_dps() (in module sympy.utilities.decorator) const() (sympy.polys.rings.PolyElement method) constant_renumber() (in module sympy.solvers.ode) constant_symbols() (sympy.physics.mechanics.system.SymbolicSystem method) constantsimp() (in module sympy.solvers.ode) construct_domain() (in module sympy.polys.constructor) contains() (sympy.combinatorics.perm_groups.PermutationGroup method) (sympy.geometry.line.Line method) (sympy.geometry.line.LinearEntity method) (sympy.geometry.line.Ray method) (sympy.geometry.line.Segment method) (sympy.polys.agca.ideals.Ideal method) (sympy.polys.agca.modules.Module method) (sympy.polys.polytools.GroebnerBasis method) (sympy.series.order.Order method) (sympy.sets.sets.Set method) content() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) (sympy.polys.rings.PolyElement method) continued_fraction_convergents() (in module sympy.ntheory.continued_fraction) continued_fraction_iterator() (in module sympy.ntheory.continued_fraction) continued_fraction_periodic() (in module sympy.ntheory.continued_fraction) continued_fraction_reduce() (in module sympy.ntheory.continued_fraction) ContinueToken (class in sympy.codegen.ast) ContinuousDomain (class in sympy.stats.crv) ContinuousPSpace (class in sympy.stats.crv) ContinuousRV() (in module sympy.stats) contract_metric() (sympy.tensor.tensor.TensAdd method) (sympy.tensor.tensor.TensMul method) contraction() (in module sympy.physics.secondquant) control_line() (sympy.physics.quantum.circuitplot.CircuitPlot method) control_point() (sympy.physics.quantum.circuitplot.CircuitPlot method) controls() (sympy.physics.quantum.gate.CGate property) (sympy.physics.quantum.gate.CNotGate property) convergence_statement() (sympy.functions.special.hyper.hyper property) convert() (sympy.polys.agca.modules.FreeModule method) (sympy.polys.agca.modules.Module method) (sympy.polys.agca.modules.QuotientModule method) (sympy.polys.agca.modules.SubModule method) (sympy.polys.domains.domain.Domain method) (sympy.polys.polyclasses.DMP method) convert_from() (sympy.polys.domains.domain.Domain method) convert_to() (in module sympy.physics.units.util) (sympy.physics.units.quantities.Quantity method) convert_to_native_paths() (in module sympy.utilities.runtests) convert_xor() (in module sympy.parsing.sympy_parser) convex_hull() (in module sympy.geometry.util) coord_function() (sympy.diffgeom.CoordSystem method) coord_functions() (sympy.diffgeom.CoordSystem method) coord_tuple_transform_to() (sympy.diffgeom.CoordSystem method) coordinates() (sympy.physics.mechanics.system.SymbolicSystem property) CoordinateSym (class in sympy.physics.vector.frame) coords() (sympy.diffgeom.Point method) CoordSys3D (class in sympy.vector.coordsysrect) CoordSystem (class in sympy.diffgeom) copy() (sympy.matrices.matrices.MatrixBase method) (sympy.polys.rings.PolyElement method) (sympy.series.gruntz.SubsSet method) copyin_list() (sympy.matrices.dense.MutableDenseMatrix method) copyin_matrix() (sympy.matrices.dense.MutableDenseMatrix method) core() (in module sympy.ntheory.factor_) cornacchia() (in module sympy.solvers.diophantine) corners() (sympy.combinatorics.polyhedron.Polyhedron property) cos (class in sympy.functions.elementary.trigonometric) coset_factor() (sympy.combinatorics.perm_groups.PermutationGroup method) coset_rank() (sympy.combinatorics.perm_groups.PermutationGroup method) coset_table() (sympy.combinatorics.perm_groups.PermutationGroup method) coset_transversal() (sympy.combinatorics.perm_groups.PermutationGroup method) coset_unrank() (sympy.combinatorics.perm_groups.PermutationGroup method) cosh (class in sympy.functions.elementary.hyperbolic) cosine_transform() (in module sympy.integrals.transforms) cot (class in sympy.functions.elementary.trigonometric) coth (class in sympy.functions.elementary.hyperbolic) could_extract_minus_sign() (sympy.core.expr.Expr method) count() (sympy.core.basic.Basic method) count_complex_roots() (sympy.polys.polyclasses.DMP method) count_ops() (in module sympy.core.function) (sympy.core.basic.Basic method) (sympy.core.expr.Expr method) count_partitions() (sympy.utilities.enumerative.MultisetPartitionTraverser method) count_real_roots() (sympy.polys.polyclasses.DMP method) count_roots() (in module sympy.polys.polytools) (sympy.polys.polytools.Poly method) couple() (in module sympy.physics.quantum.spin) CovarDerivativeOp (class in sympy.diffgeom) Covariance (class in sympy.stats) covariance() (in module sympy.stats) coxeter_diagram() (sympy.liealgebras.weyl_group.WeylGroup method) create_expand_pow_optimization() (in module sympy.codegen.rewriting) create_new() (sympy.vector.coordsysrect.CoordSys3D method) CreateBoson (class in sympy.physics.secondquant) CreateCGate() (in module sympy.physics.quantum.circuitplot) CreateFermion (class in sympy.physics.secondquant) cross() (in module sympy.physics.vector.functions) (sympy.matrices.matrices.MatrixBase method) (sympy.physics.vector.dyadic.Dyadic method) (sympy.physics.vector.vector.Vector method) (sympy.vector.deloperator.Del method) (sympy.vector.dyadic.Dyadic method) (sympy.vector.vector.Vector method) crt() (in module sympy.ntheory.modular) crt1() (in module sympy.ntheory.modular) crt2() (in module sympy.ntheory.modular) csc (class in sympy.functions.elementary.trigonometric) csch (class in sympy.functions.elementary.hyperbolic) cse() (in module sympy.simplify.cse_main) (sympy.codegen.ast.CodeBlock method) curl() (in module sympy.physics.vector.fieldfunctions) (in module sympy.vector) current() (sympy.combinatorics.graycode.GrayCode property) Curve (class in sympy.geometry.curve) CurvedMirror (class in sympy.physics.optics.gaussopt) CurvedRefraction (class in sympy.physics.optics.gaussopt) CXX11CodePrinter (class in sympy.printing.cxxcode) CXX98CodePrinter (class in sympy.printing.cxxcode) cxxcode() (in module sympy.printing.cxxcode) Cycle (class in sympy.combinatorics.permutations) cycle_length() (in module sympy.ntheory.generate) cycle_list() (in module sympy.crypto.crypto) cycle_structure() (sympy.combinatorics.permutations.Permutation property) cycles() (sympy.combinatorics.permutations.Permutation property) cyclic() (sympy.combinatorics.generators method) cyclic_form() (sympy.combinatorics.permutations.Permutation property) (sympy.combinatorics.polyhedron.Polyhedron property) CyclicGroup() (in module sympy.combinatorics.named_groups) cyclotomic_poly() (in module sympy.polys.specialpolys) CythonCodeWrapper (class in sympy.utilities.autowrap)

D

D() (sympy.matrices.matrices.MatrixBase property) (sympy.physics.optics.gaussopt.RayTransferMatrix property) (sympy.physics.quantum.spin.Rotation class method) d() (sympy.physics.quantum.spin.Rotation class method) Dagger (class in sympy.physics.quantum.dagger) (class in sympy.physics.secondquant) Dagum() (in module sympy.stats) DataType (class in sympy.utilities.codegen) dcm() (sympy.physics.vector.frame.ReferenceFrame method) debug() (in module sympy.utilities.misc) debug_decorator() (in module sympy.utilities.misc) decimal_dig() (sympy.codegen.ast.FloatType property) decipher_affine() (in module sympy.crypto.crypto) decipher_bifid() (in module sympy.crypto.crypto) decipher_bifid5() (in module sympy.crypto.crypto) decipher_bifid6() (in module sympy.crypto.crypto) decipher_elgamal() (in module sympy.crypto.crypto), [1] decipher_gm() (in module sympy.crypto.crypto) decipher_hill() (in module sympy.crypto.crypto) decipher_kid_rsa() (in module sympy.crypto.crypto) decipher_rsa() (in module sympy.crypto.crypto) decipher_shift() (in module sympy.crypto.crypto) decipher_vigenere() (in module sympy.crypto.crypto) Declaration (class in sympy.codegen.ast) decode_morse() (in module sympy.crypto.crypto) decompose() (in module sympy.polys.polytools) (sympy.physics.quantum.gate.CGate method) (sympy.physics.quantum.gate.SwapGate method) (sympy.physics.quantum.qft.IQFT method) (sympy.physics.quantum.qft.QFT method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) deduced() (sympy.codegen.ast.Variable class method) deflate() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) deflection() (sympy.physics.continuum_mechanics.beam.Beam method) degree() (in module sympy.polys.polytools) (sympy.combinatorics.perm_groups.PermutationGroup property) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) (sympy.polys.rings.PolyElement method) degree_list() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) degrees() (sympy.polys.rings.PolyElement method) Del (class in sympy.vector.deloperator) delete_doubles() (sympy.liealgebras.weyl_group.WeylGroup method) delta() (sympy.functions.special.hyper.meijerg property) denom() (sympy.polys.domains.AlgebraicField method) (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.ExpressionDomain method) (sympy.polys.domains.FractionField method) (sympy.polys.domains.ring.Ring method) (sympy.polys.polyclasses.DMF method) density() (in module sympy.stats) depth() (sympy.polys.agca.ideals.Ideal method) Derivative (class in sympy.core.function) derive_by_array() (in module sympy.tensor.array) derived_series() (sympy.combinatorics.perm_groups.PermutationGroup method) derived_subgroup() (sympy.combinatorics.perm_groups.PermutationGroup method) descent() (in module sympy.solvers.diophantine) descents() (sympy.combinatorics.permutations.Permutation method) deviation() (in module sympy.physics.optics.utils) dh_private_key() (in module sympy.crypto.crypto) dh_public_key() (in module sympy.crypto.crypto) dh_shared_key() (in module sympy.crypto.crypto) diag() (in module sympy.matrices.dense) diagonal() (sympy.assumptions.ask.AssumptionKeys property) diagonal_solve() (sympy.matrices.matrices.MatrixBase method) Diagram (class in sympy.categories) DiagramGrid (class in sympy.categories.diagram_drawing) Dict (class in sympy.core.containers) dict_merge() (in module sympy.utilities.iterables) Die() (in module sympy.stats) DiePSpace (class in sympy.stats.frv_types) diff() (in module sympy.core.function) (sympy.holonomic.holonomic.HolonomicFunction method) (sympy.physics.vector.vector.Vector method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) (sympy.polys.rings.PolyElement method) difference_delta() (in module sympy.series.limitseq) Differential (class in sympy.diffgeom) DifferentialOperator (class in sympy.physics.quantum.operator) differentiate_finite() (in module sympy.calculus.finite_diff) dig() (sympy.codegen.ast.FloatType property) digamma() (in module sympy.functions.special.gamma_functions) digit_2txt (in module sympy.printing.pretty.pretty_symbology) digits() (in module sympy.ntheory.factor_) dihedral() (sympy.combinatorics.generators method) DihedralGroup() (in module sympy.combinatorics.named_groups) dim() (sympy.physics.units.dimensions.DimensionSystem property) (sympy.physics.units.unitsystem.UnitSystem property) dim_can_vector() (sympy.physics.units.dimensions.DimensionSystem method) dim_vector() (sympy.physics.units.dimensions.DimensionSystem method) Dimension (class in sympy.physics.units.dimensions) dimension() (in module sympy.codegen.fnodes) (sympy.liealgebras.type_a.TypeA method) (sympy.liealgebras.type_b.TypeB method) (sympy.liealgebras.type_c.TypeC method) (sympy.liealgebras.type_d.TypeD method) (sympy.liealgebras.type_e.TypeE method) (sympy.liealgebras.type_f.TypeF method) (sympy.liealgebras.type_g.TypeG method) (sympy.physics.quantum.hilbert.HilbertSpace property) DimensionSystem (class in sympy.physics.units.dimensions) diop_bf_DN() (in module sympy.solvers.diophantine) diop_DN() (in module sympy.solvers.diophantine) diop_general_pythagorean() (in module sympy.solvers.diophantine) diop_general_sum_of_even_powers() (in module sympy.solvers.diophantine) diop_general_sum_of_squares() (in module sympy.solvers.diophantine) diop_linear() (in module sympy.solvers.diophantine) diop_quadratic() (in module sympy.solvers.diophantine) diop_solve() (in module sympy.solvers.diophantine) diop_ternary_quadratic() (in module sympy.solvers.diophantine) diop_ternary_quadratic_normal() (in module sympy.solvers.diophantine) diophantine() (in module sympy.solvers.diophantine) DiracDelta (class in sympy.functions.special.delta_functions) direction() (sympy.geometry.line.LinearEntity property) direction_cosine() (sympy.geometry.line.LinearEntity3D property) (sympy.geometry.point.Point3D method) direction_ratio() (sympy.geometry.line.LinearEntity3D property) (sympy.geometry.point.Point3D method) DirectProduct() (in module sympy.combinatorics.group_constructs) dirichlet_eta (class in sympy.functions.special.zeta_functions) discrete_log() (in module sympy.ntheory.residue_ntheory) DiscreteUniform() (in module sympy.stats) discriminant() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) dispersion() (in module sympy.polys.dispersion), [1] (sympy.polys.polytools.Poly method) dispersionset() (in module sympy.polys.dispersion), [1] (sympy.polys.polytools.Poly method) distance() (sympy.geometry.line.Line method) (sympy.geometry.line.Ray method) (sympy.geometry.line.Segment method) (sympy.geometry.plane.Plane method) (sympy.geometry.point.Point method) (sympy.geometry.polygon.Polygon method) div() (in module sympy.polys.polytools) (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.field.Field method) (sympy.polys.domains.ring.Ring method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) (sympy.polys.rings.PolyElement method) divergence() (in module sympy.physics.vector.fieldfunctions) (in module sympy.vector) (sympy.physics.optics.gaussopt.BeamParameter property) divisible() (in module sympy.solvers.diophantine) divisor_count() (in module sympy.ntheory.factor_) divisor_sigma (class in sympy.ntheory.factor_) divisors() (in module sympy.ntheory.factor_) DMF (class in sympy.polys.polyclasses) DMP (class in sympy.polys.polyclasses) dmp_abs() (in module sympy.polys.densearith) dmp_add() (in module sympy.polys.densearith) dmp_add_ground() (in module sympy.polys.densearith) dmp_add_mul() (in module sympy.polys.densearith) dmp_add_term() (in module sympy.polys.densearith) dmp_apply_pairs() (in module sympy.polys.densebasic) dmp_cancel() (in module sympy.polys.euclidtools) dmp_clear_denoms() (in module sympy.polys.densetools) dmp_compose() (in module sympy.polys.densetools) dmp_content() (in module sympy.polys.euclidtools) dmp_convert() (in module sympy.polys.densebasic) dmp_copy() (in module sympy.polys.densebasic) dmp_deflate() (in module sympy.polys.densebasic) dmp_degree() (in module sympy.polys.densebasic) dmp_degree_in() (in module sympy.polys.densebasic) dmp_degree_list() (in module sympy.polys.densebasic) dmp_diff() (in module sympy.polys.densetools) dmp_diff_eval_in() (in module sympy.polys.densetools) dmp_diff_in() (in module sympy.polys.densetools) dmp_discriminant() (in module sympy.polys.euclidtools) dmp_div() (in module sympy.polys.densearith) dmp_eject() (in module sympy.polys.densebasic) dmp_euclidean_prs() (in module sympy.polys.euclidtools) dmp_eval() (in module sympy.polys.densetools) dmp_eval_in() (in module sympy.polys.densetools) dmp_eval_tail() (in module sympy.polys.densetools) dmp_exclude() (in module sympy.polys.densebasic) dmp_expand() (in module sympy.polys.densearith) dmp_exquo() (in module sympy.polys.densearith) dmp_exquo_ground() (in module sympy.polys.densearith) dmp_ext_factor() (in module sympy.polys.factortools) dmp_factor_list() (in module sympy.polys.factortools) dmp_factor_list_include() (in module sympy.polys.factortools) dmp_ff_div() (in module sympy.polys.densearith)

dmp_ff_prs_gcd() (in module sympy.polys.euclidtools) dmp_from_dict() (in module sympy.polys.densebasic) dmp_from_sympy() (in module sympy.polys.densebasic) dmp_gcd() (in module sympy.polys.euclidtools) dmp_gcdex() (in module sympy.polys.euclidtools) dmp_ground() (in module sympy.polys.densebasic) dmp_ground_content() (in module sympy.polys.densetools) dmp_ground_extract() (in module sympy.polys.densetools) dmp_ground_LC() (in module sympy.polys.densebasic) dmp_ground_monic() (in module sympy.polys.densetools) dmp_ground_nth() (in module sympy.polys.densebasic) dmp_ground_p() (in module sympy.polys.densebasic) dmp_ground_primitive() (in module sympy.polys.densetools) dmp_ground_TC() (in module sympy.polys.densebasic) dmp_ground_trunc() (in module sympy.polys.densetools) dmp_grounds() (in module sympy.polys.densebasic) dmp_half_gcdex() (in module sympy.polys.euclidtools) dmp_include() (in module sympy.polys.densebasic) dmp_inflate() (in module sympy.polys.densebasic) dmp_inject() (in module sympy.polys.densebasic) dmp_inner_gcd() (in module sympy.polys.euclidtools) dmp_inner_subresultants() (in module sympy.polys.euclidtools) dmp_integrate() (in module sympy.polys.densetools) dmp_integrate_in() (in module sympy.polys.densetools) dmp_invert() (in module sympy.polys.euclidtools) dmp_irreducible_p() (in module sympy.polys.factortools) dmp_l1_norm() (in module sympy.polys.densearith) dmp_LC() (in module sympy.polys.densebasic) dmp_lcm() (in module sympy.polys.euclidtools) dmp_lift() (in module sympy.polys.densetools) dmp_list_terms() (in module sympy.polys.densebasic) dmp_max_norm() (in module sympy.polys.densearith) dmp_mul() (in module sympy.polys.densearith) dmp_mul_ground() (in module sympy.polys.densearith) dmp_mul_term() (in module sympy.polys.densearith) dmp_multi_deflate() (in module sympy.polys.densebasic) dmp_neg() (in module sympy.polys.densearith) dmp_negative_p() (in module sympy.polys.densebasic) dmp_nest() (in module sympy.polys.densebasic) dmp_normal() (in module sympy.polys.densebasic) dmp_nth() (in module sympy.polys.densebasic) dmp_one() (in module sympy.polys.densebasic) dmp_one_p() (in module sympy.polys.densebasic) dmp_pdiv() (in module sympy.polys.densearith) dmp_permute() (in module sympy.polys.densebasic) dmp_pexquo() (in module sympy.polys.densearith) dmp_positive_p() (in module sympy.polys.densebasic) dmp_pow() (in module sympy.polys.densearith) dmp_pquo() (in module sympy.polys.densearith) dmp_prem() (in module sympy.polys.densearith) dmp_primitive() (in module sympy.polys.euclidtools) dmp_primitive_prs() (in module sympy.polys.euclidtools) dmp_prs_resultant() (in module sympy.polys.euclidtools) dmp_qq_collins_resultant() (in module sympy.polys.euclidtools) dmp_qq_heu_gcd() (in module sympy.polys.euclidtools) dmp_quo() (in module sympy.polys.densearith) dmp_quo_ground() (in module sympy.polys.densearith) dmp_raise() (in module sympy.polys.densebasic) dmp_rem() (in module sympy.polys.densearith) dmp_resultant() (in module sympy.polys.euclidtools) dmp_revert() (in module sympy.polys.densetools) dmp_rr_div() (in module sympy.polys.densearith) dmp_rr_prs_gcd() (in module sympy.polys.euclidtools) dmp_slice() (in module sympy.polys.densebasic) dmp_sqr() (in module sympy.polys.densearith) dmp_strip() (in module sympy.polys.densebasic) dmp_sub() (in module sympy.polys.densearith) dmp_sub_ground() (in module sympy.polys.densearith) dmp_sub_mul() (in module sympy.polys.densearith) dmp_sub_term() (in module sympy.polys.densearith) dmp_subresultants() (in module sympy.polys.euclidtools) dmp_swap() (in module sympy.polys.densebasic) dmp_TC() (in module sympy.polys.densebasic) dmp_terms_gcd() (in module sympy.polys.densebasic) dmp_to_dict() (in module sympy.polys.densebasic) dmp_to_tuple() (in module sympy.polys.densebasic) dmp_trial_division() (in module sympy.polys.factortools) dmp_true_LT() (in module sympy.polys.densebasic) dmp_trunc() (in module sympy.polys.densetools) dmp_validate() (in module sympy.polys.densebasic) dmp_zero() (in module sympy.polys.densebasic) dmp_zero_p() (in module sympy.polys.densebasic) dmp_zeros() (in module sympy.polys.densebasic) dmp_zz_collins_resultant() (in module sympy.polys.euclidtools) dmp_zz_diophantine() (in module sympy.polys.factortools) dmp_zz_factor() (in module sympy.polys.factortools) dmp_zz_heu_gcd() (in module sympy.polys.euclidtools) dmp_zz_mignotte_bound() (in module sympy.polys.factortools) dmp_zz_modular_resultant() (in module sympy.polys.euclidtools) dmp_zz_wang() (in module sympy.polys.factortools) dmp_zz_wang_hensel_lifting() (in module sympy.polys.factortools) dmp_zz_wang_lead_coeffs() (in module sympy.polys.factortools) dmp_zz_wang_non_divisors() (in module sympy.polys.factortools) dmp_zz_wang_test_points() (in module sympy.polys.factortools) Do (class in sympy.codegen.fnodes) do_subs() (sympy.series.gruntz.SubsSet method) doctest() (in module sympy.utilities.runtests) doctest_depends_on() (in module sympy.utilities.decorator) doit() (sympy.core.basic.Basic method) (sympy.integrals.Integral method) (sympy.physics.quantum.anticommutator.AntiCommutator method) (sympy.physics.quantum.commutator.Commutator method) (sympy.physics.secondquant.AntiSymmetricTensor method) (sympy.physics.secondquant.Commutator method) (sympy.physics.secondquant.NO method) (sympy.physics.vector.dyadic.Dyadic method) (sympy.physics.vector.vector.Vector method) (sympy.series.limits.Limit method) doit_numerically() (sympy.core.function.Derivative method) Domain (class in sympy.polys.domains.domain) domain() (sympy.categories.CompositeMorphism property) (sympy.categories.Morphism property) (sympy.polys.polytools.Poly property) domain_check() (in module sympy.solvers.solveset) DomainError (class in sympy.polys.polyerrors) dominant() (in module sympy.series.limitseq) doprint() (sympy.printing.mathematica.MCodePrinter method) (sympy.printing.printer.Printer method) (sympy.printing.theanocode.TheanoPrinter method) dot() (in module sympy.physics.vector.functions) (sympy.geometry.point.Point method) (sympy.matrices.matrices.MatrixBase method) (sympy.physics.vector.dyadic.Dyadic method) (sympy.physics.vector.vector.Vector method) (sympy.vector.deloperator.Del method) (sympy.vector.dyadic.Dyadic method) (sympy.vector.vector.Vector method) dot_rot_grad_Ynm() (in module sympy.physics.wigner) dotprint() (in module sympy.printing.dot) double_coset_can_rep() (in module sympy.combinatorics.tensor_can) draw() (sympy.categories.diagram_drawing.XypicDiagramDrawer method) drop() (sympy.polys.rings.PolyRing method) drop_to_ground() (sympy.polys.rings.PolyRing method) dsign (class in sympy.codegen.fnodes) dsolve() (in module sympy.solvers.ode) dt() (sympy.physics.vector.dyadic.Dyadic method) (sympy.physics.vector.vector.Vector method) dtype (sympy.polys.agca.modules.FreeModule attribute) (sympy.polys.agca.modules.QuotientModule attribute) (sympy.polys.domains.AlgebraicField attribute) (sympy.polys.domains.ExpressionDomain attribute) dual() (sympy.matrices.matrices.MatrixBase method) (sympy.physics.quantum.state.StateBase property) dual_class() (sympy.physics.quantum.state.StateBase class method) Dummy (class in sympy.core.symbol) dummy_eq() (sympy.core.basic.Basic method) DummyWrapper (class in sympy.utilities.autowrap) dump_c() (sympy.utilities.autowrap.UfuncifyCodeWrapper method) (sympy.utilities.codegen.CCodeGen method) dump_code() (sympy.utilities.codegen.CodeGen method) dump_f95() (sympy.utilities.codegen.FCodeGen method) dump_h() (sympy.utilities.codegen.CCodeGen method) (sympy.utilities.codegen.FCodeGen method) dump_jl() (sympy.utilities.codegen.JuliaCodeGen method) dump_m() (sympy.utilities.codegen.OctaveCodeGen method) dump_pyx() (sympy.utilities.autowrap.CythonCodeWrapper method) dump_rs() (sympy.utilities.codegen.RustCodeGen method) dup_content() (in module sympy.polys.densetools) dup_cyclotomic_p() (in module sympy.polys.factortools) dup_decompose() (in module sympy.polys.densetools) dup_extract() (in module sympy.polys.densetools) dup_gf_factor() (in module sympy.polys.factortools) dup_lshift() (in module sympy.polys.densearith) dup_mirror() (in module sympy.polys.densetools) dup_monic() (in module sympy.polys.densetools) dup_primitive() (in module sympy.polys.densetools) dup_random() (in module sympy.polys.densebasic) dup_real_imag() (in module sympy.polys.densetools) dup_reverse() (in module sympy.polys.densebasic) dup_rshift() (in module sympy.polys.densearith) dup_scale() (in module sympy.polys.densetools) dup_shift() (in module sympy.polys.densetools) dup_sign_variations() (in module sympy.polys.densetools) dup_transform() (in module sympy.polys.densetools) dup_zz_cyclotomic_factor() (in module sympy.polys.factortools) dup_zz_cyclotomic_poly() (in module sympy.polys.factortools) dup_zz_factor() (in module sympy.polys.factortools) dup_zz_factor_sqf() (in module sympy.polys.factortools) dup_zz_hensel_lift() (in module sympy.polys.factortools) dup_zz_hensel_step() (in module sympy.polys.factortools) dup_zz_irreducible_p() (in module sympy.polys.factortools) dup_zz_zassenhaus() (in module sympy.polys.factortools) Dyadic (class in sympy.physics.vector.dyadic) (class in sympy.vector.dyadic) dyn_implicit_mat() (sympy.physics.mechanics.system.SymbolicSystem property) dyn_implicit_rhs() (sympy.physics.mechanics.system.SymbolicSystem property) dynamic_symbols() (sympy.physics.mechanics.system.SymbolicSystem method) dynamicsymbols() (in module sympy.physics.vector) dynkin_diagram() (sympy.liealgebras.root_system.RootSystem method) DynkinDiagram() (in module sympy.liealgebras.dynkin_diagram)

E

E() (in module sympy.stats) E1() (in module sympy.functions.special.error_functions) E_n() (in module sympy.physics.qho_1d) E_nl() (in module sympy.physics.hydrogen) (in module sympy.physics.sho) E_nl_dirac() (in module sympy.physics.hydrogen) EC() (sympy.polys.polytools.Poly method) eccentricity() (sympy.geometry.ellipse.Ellipse property) edges() (sympy.combinatorics.polyhedron.Polyhedron property) (sympy.combinatorics.prufer.Prufer static method) egyptian_fraction() (in module sympy.ntheory.egyptian_fraction) Ei (class in sympy.functions.special.error_functions) Eijk() (in module sympy.functions.special.tensor_functions) eject() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) elastic_modulus() (sympy.physics.continuum_mechanics.beam.Beam property) Element (class in sympy.codegen.ast) element_order() (sympy.liealgebras.weyl_group.WeylGroup method) elements() (sympy.combinatorics.perm_groups.PermutationGroup property) elgamal_private_key() (in module sympy.crypto.crypto) elgamal_public_key() (in module sympy.crypto.crypto) Ellipse (class in sympy.geometry.ellipse) elliptic_e (class in sympy.functions.special.elliptic_integrals) elliptic_f (class in sympy.functions.special.elliptic_integrals) elliptic_k (class in sympy.functions.special.elliptic_integrals) elliptic_pi (class in sympy.functions.special.elliptic_integrals) EM() (sympy.polys.polytools.Poly method) emptyPrinter() (sympy.printing.repr.ReprPrinter method) EmptySequence (class in sympy.series.sequences) EmptySet (class in sympy.sets.sets) encipher_affine() (in module sympy.crypto.crypto) encipher_bifid() (in module sympy.crypto.crypto) encipher_bifid5() (in module sympy.crypto.crypto) encipher_bifid6() (in module sympy.crypto.crypto) encipher_elgamal() (in module sympy.crypto.crypto), [1] encipher_gm() (in module sympy.crypto.crypto) encipher_hill() (in module sympy.crypto.crypto) encipher_kid_rsa() (in module sympy.crypto.crypto) encipher_rsa() (in module sympy.crypto.crypto) encipher_shift() (in module sympy.crypto.crypto) encipher_substitution() (in module sympy.crypto.crypto) encipher_vigenere() (in module sympy.crypto.crypto) encloses() (sympy.geometry.entity.GeometryEntity method) encloses_point() (sympy.geometry.ellipse.Ellipse method) (sympy.geometry.polygon.Polygon method) (sympy.geometry.polygon.RegularPolygon method) encode_morse() (in module sympy.crypto.crypto) end() (sympy.sets.sets.Interval property) enum_all() (sympy.utilities.enumerative.MultisetPartitionTraverser method) enum_large() (sympy.utilities.enumerative.MultisetPartitionTraverser method) enum_range() (sympy.utilities.enumerative.MultisetPartitionTraverser method) enum_small() (sympy.utilities.enumerative.MultisetPartitionTraverser method) enumerate_states() (in module sympy.physics.quantum.represent) EPath (class in sympy.simplify.epathtools) epath() (in module sympy.simplify.epathtools) eps() (sympy.codegen.ast.FloatType property) Eq (in module sympy.core.relational) Equality (class in sympy.core.relational) equals() (sympy.core.expr.Expr method) (sympy.geometry.line.Line method) (sympy.geometry.line.Ray method) (sympy.geometry.line.Segment method) (sympy.geometry.plane.Plane method) (sympy.geometry.point.Point method) (sympy.matrices.expressions.MatrixExpr method) equation() (sympy.geometry.ellipse.Circle method) (sympy.geometry.ellipse.Ellipse method) (sympy.geometry.line.Line2D method) (sympy.geometry.line.Line3D method) (sympy.geometry.plane.Plane method) Equivalent (class in sympy.logic.boolalg) equivalent() (in module sympy.solvers.diophantine) erf (class in sympy.functions.special.error_functions) erf2 (class in sympy.functions.special.error_functions) erf2inv (class in sympy.functions.special.error_functions) erfc (class in sympy.functions.special.error_functions) erfcinv (class in sympy.functions.special.error_functions) erfi (class in sympy.functions.special.error_functions) erfinv (class in sympy.functions.special.error_functions) Erlang() (in module sympy.stats) ET() (sympy.polys.polytools.Poly method) eta() (sympy.functions.special.hyper.hyper property) euler (class in sympy.functions.combinatorial.numbers) euler_equations() (in module sympy.calculus.euler) euler_maclaurin() (sympy.concrete.summations.Sum method)

EulerGamma (class in sympy.core.numbers) eulerline() (sympy.geometry.polygon.Triangle property) eval() (sympy.assumptions.assume.Predicate method) (sympy.functions.special.delta_functions.DiracDelta class method) (sympy.functions.special.delta_functions.Heaviside class method) (sympy.functions.special.singularity_functions.SingularityFunction class method) (sympy.functions.special.tensor_functions.KroneckerDelta class method) (sympy.physics.secondquant.Commutator class method) (sympy.physics.secondquant.Dagger class method) (sympy.physics.secondquant.KroneckerDelta class method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) eval_controls() (sympy.physics.quantum.gate.CGate method) eval_expr() (in module sympy.parsing.sympy_parser) eval_levicivita() (in module sympy.functions.special.tensor_functions) eval_zeta_function() (sympy.concrete.summations.Sum method) evalf() (sympy.geometry.point.Point method) (sympy.holonomic.holonomic.HolonomicFunction method) (sympy.polys.domains.domain.Domain method) evaluate_deltas() (in module sympy.physics.secondquant) evaluate_pauli_product() (in module sympy.physics.paulialgebra) EvaluationFailed (class in sympy.polys.polyerrors) even even() (sympy.assumptions.ask.AssumptionKeys property) evolute() (sympy.geometry.ellipse.Ellipse method) ExactQuotientFailed (class in sympy.polys.polyerrors) exclude() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) exp (class in sympy.functions.elementary.exponential) exp() (sympy.matrices.matrices.MatrixBase method) Exp1 (class in sympy.core.numbers) exp2 (class in sympy.codegen.cfunctions) exp_re() (in module sympy.series.formal) expand() (in module sympy.core.function) (sympy.core.expr.Expr method) expand_complex() (in module sympy.core.function) expand_func() (in module sympy.core.function) expand_log() (in module sympy.core.function) expand_mul() (in module sympy.core.function) expand_multinomial() (in module sympy.core.function) expand_power_base() (in module sympy.core.function) expand_power_exp() (in module sympy.core.function) expand_trig() (in module sympy.core.function) Expectation (class in sympy.stats) expint (class in sympy.functions.special.error_functions) expm1 (class in sympy.codegen.cfunctions) Exponential() (in module sympy.stats) Expr (class in sympy.core.expr) expr() (sympy.core.function.Lambda property) (sympy.core.function.Subs property) (sympy.physics.quantum.operator.DifferentialOperator property) (sympy.physics.quantum.state.Wavefunction property) expr_free_symbols() (sympy.core.expr.Expr property) expr_to_holonomic() (in module sympy.holonomic.holonomic) ExprCondPair (class in sympy.functions.elementary.piecewise) express() (in module sympy.physics.vector.functions) (in module sympy.vector) (sympy.physics.vector.dyadic.Dyadic method) (sympy.physics.vector.vector.Vector method) ExpressionDomain (class in sympy.polys.domains) ExpressionDomain.Expression (class in sympy.polys.domains) exquo() (in module sympy.polys.polytools) (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.field.Field method) (sympy.polys.domains.ring.Ring method) (sympy.polys.polyclasses.DMF method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) exquo_ground() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) exradii() (sympy.geometry.polygon.Triangle property) extend() (sympy.ntheory.generate.Sieve method) (sympy.physics.units.unitsystem.UnitSystem method) (sympy.plotting.plot.Plot method) extend_to_no() (sympy.ntheory.generate.Sieve method) extended_real() (sympy.assumptions.ask.AssumptionKeys property) Extent (class in sympy.codegen.fnodes) exterior_angle() (sympy.geometry.polygon.RegularPolygon property) extract_additively() (sympy.core.expr.Expr method) extract_branch_factor() (sympy.core.expr.Expr method) extract_leading_order() (sympy.core.add.Add method) extract_multiplicatively() (sympy.core.expr.Expr method) extract_type_tens() (in module sympy.physics.hep.gamma_matrices) ExtraneousFactors (class in sympy.polys.polyerrors) eye() (in module sympy.matrices.dense)

F

F (in module sympy.physics.secondquant) F2PyCodeWrapper (class in sympy.utilities.autowrap) faces() (sympy.combinatorics.polyhedron.Polyhedron property) factor() (in module sympy.polys.polytools) (sympy.core.expr.Expr method) factor_list() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) factor_list_include() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) factor_terms() (in module sympy.core.exprtools) factorial (class in sympy.functions.combinatorial.factorials) factorial() (sympy.polys.domains.FractionField method) (sympy.polys.domains.PolynomialRing method) factorial2 (class in sympy.functions.combinatorial.factorials) factorial_notation() (in module sympy.parsing.sympy_parser) factoring_visitor() (in module sympy.utilities.enumerative) factorint() (in module sympy.ntheory.factor_) factors() (sympy.core.numbers.Rational method) FallingFactorial (class in sympy.functions.combinatorial.factorials) FBra (in module sympy.physics.secondquant) fcode() (in module sympy.printing.fcode) FCodeGen (class in sympy.utilities.codegen) FCodePrinter (class in sympy.printing.fcode) Fd (in module sympy.physics.secondquant) fdiff() (sympy.codegen.cfunctions.Cbrt method) (sympy.codegen.cfunctions.exp2 method) (sympy.codegen.cfunctions.expm1 method) (sympy.codegen.cfunctions.fma method) (sympy.codegen.cfunctions.hypot method) (sympy.codegen.cfunctions.log10 method) (sympy.codegen.cfunctions.log1p method) (sympy.codegen.cfunctions.log2 method) (sympy.codegen.cfunctions.Sqrt method) (sympy.core.function.Function method) (sympy.functions.elementary.complexes.Abs method) (sympy.functions.special.delta_functions.DiracDelta method) (sympy.functions.special.delta_functions.Heaviside method) (sympy.functions.special.singularity_functions.SingularityFunction method) FDistribution() (in module sympy.stats) fglm() (sympy.polys.polytools.GroebnerBasis method) fibonacci (class in sympy.functions.combinatorial.numbers) Field (class in sympy.polys.domains.field) field_isomorphism() (in module sympy.polys.numberfields) fill() (sympy.matrices.dense.MutableDenseMatrix method) (sympy.matrices.sparse.MutableSparseMatrix method) filldedent() (in module sympy.utilities.misc) filter_symbols() (in module sympy.utilities.iterables) find() (sympy.core.basic.Basic method) find_DN() (in module sympy.solvers.diophantine) find_dynamicsymbols() (in module sympy.physics.mechanics) find_executable() (in module sympy.utilities.misc) find_linear_recurrence() (sympy.series.sequences.SeqBase method) finite finite() (sympy.assumptions.ask.AssumptionKeys property) finite_diff_weights() (in module sympy.calculus.finite_diff) FiniteDomain (class in sympy.stats.frv) FiniteField (class in sympy.polys.domains) FinitePSpace (class in sympy.stats.frv) FiniteRV() (in module sympy.stats) FiniteSet (class in sympy.sets.sets) FisherZ() (in module sympy.stats) FixedBosonicBasis (class in sympy.physics.secondquant) FKet (in module sympy.physics.secondquant) FlagError (class in sympy.polys.polyerrors) FlatMirror (class in sympy.physics.optics.gaussopt) FlatRefraction (class in sympy.physics.optics.gaussopt) flatten() (in module sympy.utilities.iterables) (sympy.categories.CompositeMorphism method) (sympy.core.add.Add class method) (sympy.core.mul.Mul class method) Float (class in sympy.core.numbers) FloatBaseType (class in sympy.codegen.ast) FloatType (class in sympy.codegen.ast) floor (class in sympy.functions.elementary.integers) fma (class in sympy.codegen.cfunctions) foci() (sympy.geometry.ellipse.Ellipse property) FockSpace (class in sympy.physics.quantum.hilbert) FockState (class in sympy.physics.secondquant) FockStateBosonBra (class in sympy.physics.secondquant) FockStateBosonKet (class in sympy.physics.secondquant) FockStateBra (class in sympy.physics.secondquant) FockStateKet (class in sympy.physics.secondquant) focus_distance() (sympy.geometry.ellipse.Ellipse property) For (class in sympy.codegen.ast) forcing() (sympy.physics.mechanics.kane.KanesMethod property) (sympy.physics.mechanics.lagrange.LagrangesMethod property) forcing_full() (sympy.physics.mechanics.kane.KanesMethod property) (sympy.physics.mechanics.lagrange.LagrangesMethod property) form_lagranges_equations() (sympy.physics.mechanics.lagrange.LagrangesMethod method) FormalPowerSeries (class in sympy.series.formal) FortranReturn (class in sympy.codegen.fnodes) fourier_series() (in module sympy.series.fourier) (sympy.core.expr.Expr method) fourier_transform() (in module sympy.integrals.transforms) FourierSeries (class in sympy.series.fourier) fps() (in module sympy.series.formal) (sympy.core.expr.Expr method) frac (class in sympy.functions.elementary.integers) (in module sympy.printing.pretty.pretty_symbology) frac_field() (sympy.polys.domains.domain.Domain method) frac_unify() (sympy.polys.polyclasses.DMF method) fraction() (in module sympy.simplify.radsimp) FractionField (class in sympy.polys.domains) Frechet() (in module sympy.stats) free_module() (sympy.polys.domains.ring.Ring method)

free_symbols() (sympy.core.basic.Basic property) (sympy.geometry.curve.Curve property) (sympy.integrals.Integral property) (sympy.physics.quantum.operator.DifferentialOperator property) (sympy.physics.units.quantities.Quantity property) (sympy.physics.vector.vector.Vector method) (sympy.polys.polytools.Poly property) (sympy.polys.polytools.PurePoly property) (sympy.series.sequences.SeqBase property) free_symbols_in_domain() (sympy.polys.polytools.Poly property) FreeModule (class in sympy.polys.agca.modules) FreeSpace (class in sympy.physics.optics.gaussopt) frequency() (sympy.physics.optics.waves.TWave property) fresnelc (class in sympy.functions.special.error_functions) FresnelIntegral (class in sympy.functions.special.error_functions) fresnels (class in sympy.functions.special.error_functions) from_AlgebraicField() (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.FractionField method) (sympy.polys.domains.IntegerRing method) (sympy.polys.domains.PolynomialRing method) (sympy.polys.domains.RationalField method) from_ComplexField() (sympy.polys.domains.domain.Domain method) from_dict() (sympy.polys.polyclasses.DMP class method) (sympy.polys.polytools.Poly class method) from_expr() (sympy.codegen.ast.Type class method) (sympy.polys.polytools.Poly class method) from_ExpressionDomain() (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.ExpressionDomain method) from_FF_gmpy() (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.FiniteField method) from_FF_python() (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.FiniteField method) from_FractionField() (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.ExpressionDomain method) (sympy.polys.domains.FractionField method) (sympy.polys.domains.PolynomialRing method) from_GlobalPolynomialRing() (sympy.polys.domains.domain.Domain method) from_hyper() (in module sympy.holonomic.holonomic) from_index_summation() (sympy.matrices.expressions.MatrixExpr static method) from_inversion_vector() (sympy.combinatorics.permutations.Permutation class method) from_list() (sympy.polys.polyclasses.DMP class method) (sympy.polys.polytools.Poly class method) from_meijerg() (in module sympy.holonomic.holonomic) from_poly() (sympy.polys.polytools.Poly class method) from_PolynomialRing() (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.ExpressionDomain method) (sympy.polys.domains.FractionField method) (sympy.polys.domains.PolynomialRing method) from_QQ_gmpy() (sympy.polys.domains.AlgebraicField method) (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.ExpressionDomain method) (sympy.polys.domains.FiniteField method) (sympy.polys.domains.FractionField method) (sympy.polys.domains.PolynomialRing method) from_QQ_python() (sympy.polys.domains.AlgebraicField method) (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.ExpressionDomain method) (sympy.polys.domains.FiniteField method) (sympy.polys.domains.FractionField method) (sympy.polys.domains.PolynomialRing method) from_real() (sympy.sets.fancysets.ComplexRegion class method) from_RealField() (sympy.polys.domains.AlgebraicField method) (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.ExpressionDomain method) (sympy.polys.domains.FiniteField method) (sympy.polys.domains.FractionField method) (sympy.polys.domains.PolynomialRing method) from_rgs() (sympy.combinatorics.partitions.Partition class method) from_sequence() (sympy.combinatorics.permutations.Permutation class method) from_sympy() (sympy.polys.domains.AlgebraicField method) (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.ExpressionDomain method) (sympy.polys.domains.FiniteField method) (sympy.polys.domains.FractionField method) (sympy.polys.domains.PolynomialRing method) (sympy.polys.domains.RealField method) from_sympy_list() (sympy.polys.polyclasses.DMP class method) from_ZZ_gmpy() (sympy.polys.domains.AlgebraicField method) (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.ExpressionDomain method) (sympy.polys.domains.FiniteField method) (sympy.polys.domains.FractionField method) (sympy.polys.domains.PolynomialRing method) from_ZZ_python() (sympy.polys.domains.AlgebraicField method) (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.ExpressionDomain method) (sympy.polys.domains.FiniteField method) (sympy.polys.domains.FractionField method) (sympy.polys.domains.PolynomialRing method) fromiter() (sympy.core.basic.Basic class method) full_cyclic_form() (sympy.combinatorics.permutations.Permutation property) fullrank() (sympy.assumptions.ask.AssumptionKeys property) fun_eval() (sympy.tensor.tensor.TensAdd method) (sympy.tensor.tensor.TensExpr method) func() (sympy.core.basic.Basic property) func_field_modgcd() (in module sympy.polys.modulargcd) func_name() (in module sympy.utilities.misc) Function (class in sympy.core.function) function() (sympy.physics.quantum.operator.DifferentialOperator property) function_exponentiation() (in module sympy.parsing.sympy_parser) FunctionCall (class in sympy.codegen.ast) FunctionClass (class in sympy.core.function) FunctionDefinition (class in sympy.codegen.ast) FunctionMatrix (class in sympy.matrices.expressions) FunctionPrototype (class in sympy.codegen.ast) functions() (sympy.geometry.curve.Curve property)

G

G() (in module sympy.printing.pretty.pretty_symbology) g() (in module sympy.printing.pretty.pretty_symbology) gamma (class in sympy.functions.special.gamma_functions) Gamma() (in module sympy.stats) gamma_trace() (in module sympy.physics.hep.gamma_matrices) GammaInverse() (in module sympy.stats) gammasimp() (sympy.core.expr.Expr method) Gate (class in sympy.physics.quantum.gate) gate() (sympy.physics.quantum.gate.CGate property) (sympy.physics.quantum.gate.CNotGate property) gate_simp() (in module sympy.physics.quantum.gate) gate_sort() (in module sympy.physics.quantum.gate) gaunt() (in module sympy.physics.wigner) gauss_chebyshev_t() (in module sympy.integrals.quadrature) gauss_chebyshev_u() (in module sympy.integrals.quadrature) gauss_gen_laguerre() (in module sympy.integrals.quadrature) gauss_hermite() (in module sympy.integrals.quadrature) gauss_jacobi() (in module sympy.integrals.quadrature) gauss_jordan_solve() (sympy.matrices.matrices.MatrixBase method) gauss_laguerre() (in module sympy.integrals.quadrature) gauss_legendre() (in module sympy.integrals.quadrature) gaussian_conj() (in module sympy.physics.optics.gaussopt) gaussian_reduce() (in module sympy.solvers.diophantine) gcd() (in module sympy.polys.polytools) (sympy.core.numbers.Number method) (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.field.Field method) (sympy.polys.domains.PolynomialRing method) (sympy.polys.domains.RealField method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) gcd_list() (in module sympy.polys.polytools) gcd_terms() (in module sympy.core.exprtools) gcdex() (in module sympy.polys.polytools) (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.PolynomialRing method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) Ge (in module sympy.core.relational) gegenbauer (class in sympy.functions.special.polynomials) gegenbauer_poly() (in module sympy.polys.orthopolys) gen() (sympy.polys.polytools.Poly property) (sympy.series.sequences.SeqBase property) generate() (sympy.combinatorics.perm_groups.PermutationGroup method) generate_bell() (in module sympy.utilities.iterables) generate_derangements() (in module sympy.utilities.iterables) generate_dimino() (sympy.combinatorics.perm_groups.PermutationGroup method) generate_gray() (sympy.combinatorics.graycode.GrayCode method) generate_involutions() (in module sympy.utilities.iterables) generate_oriented_forest() (in module sympy.utilities.iterables) generate_schreier_sims() (sympy.combinatorics.perm_groups.PermutationGroup method) generator_product() (sympy.combinatorics.perm_groups.PermutationGroup method) generators() (sympy.combinatorics.perm_groups.PermutationGroup property) (sympy.liealgebras.weyl_group.WeylGroup method) GeneratorsError (class in sympy.polys.polyerrors) GeneratorsNeeded (class in sympy.polys.polyerrors) Geometric() (in module sympy.stats) geometric_conj_ab() (in module sympy.physics.optics.gaussopt) geometric_conj_af() (in module sympy.physics.optics.gaussopt) geometric_conj_bf() (in module sympy.physics.optics.gaussopt) GeometricRay (class in sympy.physics.optics.gaussopt) GeometryEntity (class in sympy.geometry.entity) get() (sympy.core.containers.Dict method) get_adjacency_distance() (sympy.combinatorics.permutations.Permutation method) get_adjacency_matrix() (sympy.combinatorics.permutations.Permutation method) get_basis() (in module sympy.physics.quantum.represent) get_class() (in module sympy.utilities.source) get_comm() (sympy.tensor.tensor._TensorManager method) get_contraction_structure() (in module sympy.tensor.index_methods) get_default_datatype() (in module sympy.utilities.codegen) get_domain() (sympy.polys.polytools.Poly method) get_exact() (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.RealField method) get_field() (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.ExpressionDomain method) (sympy.polys.domains.field.Field method) (sympy.polys.domains.FiniteField method) (sympy.polys.domains.IntegerRing method) (sympy.polys.domains.PolynomialRing method) get_free_indices() (sympy.tensor.tensor.TensMul method) get_indices() (in module sympy.tensor.index_methods) (sympy.tensor.tensor.TensMul method) get_interface() (sympy.utilities.codegen.FCodeGen method) get_matrix() (sympy.tensor.tensor.TensExpr method) get_mod_func() (in module sympy.utilities.source) get_modulus() (sympy.polys.polytools.Poly method) get_motion_params() (in module sympy.physics.vector.functions) get_period() (sympy.functions.special.hyper.meijerg method) get_permuted() (sympy.physics.secondquant.PermutationOperator method) get_positional_distance() (sympy.combinatorics.permutations.Permutation method) get_precedence_distance() (sympy.combinatorics.permutations.Permutation method) get_precedence_matrix() (sympy.combinatorics.permutations.Permutation method) get_prototype() (sympy.utilities.codegen.CCodeGen method) (sympy.utilities.codegen.RustCodeGen method) get_resource() (in module sympy.utilities.pkgdata) get_ring() (sympy.polys.domains.AlgebraicField method) (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.ExpressionDomain method) (sympy.polys.domains.field.Field method) (sympy.polys.domains.FractionField method) (sympy.polys.domains.RealField method) (sympy.polys.domains.ring.Ring method) get_segments() (sympy.plotting.plot.LineOver1DRangeSeries method) (sympy.plotting.plot.Parametric2DLineSeries method) get_subNO() (sympy.physics.secondquant.NO method)

get_subset_from_bitstring() (sympy.combinatorics.graycode method) get_symmetric_group_sgs() (in module sympy.combinatorics.tensor_can) get_sympy_dir() (in module sympy.utilities.runtests) get_target_matrix() (sympy.physics.quantum.gate.Gate method) (sympy.physics.quantum.gate.UGate method) getn() (sympy.core.expr.Expr method) getO() (sympy.core.expr.Expr method) gf_add() (in module sympy.polys.galoistools) gf_add_ground() (in module sympy.polys.galoistools) gf_add_mul() (in module sympy.polys.galoistools) gf_berlekamp() (in module sympy.polys.galoistools) gf_cofactors() (in module sympy.polys.galoistools) gf_compose() (in module sympy.polys.galoistools) gf_compose_mod() (in module sympy.polys.galoistools) gf_crt() (in module sympy.polys.galoistools) gf_crt1() (in module sympy.polys.galoistools) gf_crt2() (in module sympy.polys.galoistools) gf_csolve() (in module sympy.polys.galoistools) gf_degree() (in module sympy.polys.galoistools) gf_diff() (in module sympy.polys.galoistools) gf_div() (in module sympy.polys.galoistools) gf_eval() (in module sympy.polys.galoistools) gf_expand() (in module sympy.polys.galoistools) gf_exquo() (in module sympy.polys.galoistools) gf_factor() (in module sympy.polys.galoistools) gf_factor_sqf() (in module sympy.polys.galoistools) gf_from_dict() (in module sympy.polys.galoistools) gf_from_int_poly() (in module sympy.polys.galoistools) gf_gcd() (in module sympy.polys.galoistools) gf_gcdex() (in module sympy.polys.galoistools) gf_int() (in module sympy.polys.galoistools) gf_irreducible() (in module sympy.polys.galoistools) gf_irreducible_p() (in module sympy.polys.galoistools) gf_LC() (in module sympy.polys.galoistools) gf_lcm() (in module sympy.polys.galoistools) gf_lshift() (in module sympy.polys.galoistools) gf_monic() (in module sympy.polys.galoistools) gf_mul() (in module sympy.polys.galoistools) gf_mul_ground() (in module sympy.polys.galoistools) gf_multi_eval() (in module sympy.polys.galoistools) gf_neg() (in module sympy.polys.galoistools) gf_normal() (in module sympy.polys.galoistools) gf_pow() (in module sympy.polys.galoistools) gf_pow_mod() (in module sympy.polys.galoistools) gf_Qbasis() (in module sympy.polys.galoistools) gf_Qmatrix() (in module sympy.polys.galoistools) gf_quo() (in module sympy.polys.galoistools) gf_quo_ground() (in module sympy.polys.galoistools) gf_random() (in module sympy.polys.galoistools) gf_rem() (in module sympy.polys.galoistools) gf_rshift() (in module sympy.polys.galoistools) gf_shoup() (in module sympy.polys.galoistools) gf_sqf_list() (in module sympy.polys.galoistools) gf_sqf_p() (in module sympy.polys.galoistools) gf_sqf_part() (in module sympy.polys.galoistools) gf_sqr() (in module sympy.polys.galoistools) gf_strip() (in module sympy.polys.galoistools) gf_sub() (in module sympy.polys.galoistools) gf_sub_ground() (in module sympy.polys.galoistools) gf_sub_mul() (in module sympy.polys.galoistools) gf_TC() (in module sympy.polys.galoistools) gf_to_dict() (in module sympy.polys.galoistools) gf_to_int_poly() (in module sympy.polys.galoistools) gf_trace_map() (in module sympy.polys.galoistools) gf_trunc() (in module sympy.polys.galoistools) gf_value() (in module sympy.polys.galoistools) gf_zassenhaus() (in module sympy.polys.galoistools) gff() (in module sympy.polys.polytools) gff_list() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) given() (in module sympy.stats) gm_private_key() (in module sympy.crypto.crypto) gm_public_key() (in module sympy.crypto.crypto) GMPYFiniteField (class in sympy.polys.domains) GMPYIntegerRing (class in sympy.polys.domains) GMPYRationalField (class in sympy.polys.domains) GoldenRatio (class in sympy.core.numbers) gosper_normal() (in module sympy.concrete.gosper) gosper_sum() (in module sympy.concrete.gosper) gosper_term() (in module sympy.concrete.gosper) goto (class in sympy.codegen.cnodes) GoTo (class in sympy.codegen.fnodes) gouy() (sympy.physics.optics.gaussopt.BeamParameter property) GradedLexOrder (class in sympy.polys.orderings) gradient() (in module sympy.physics.vector.fieldfunctions) (in module sympy.vector) (sympy.vector.deloperator.Del method) GramSchmidt() (in module sympy.matrices.dense) gray_to_bin() (sympy.combinatorics.graycode method) GrayCode (class in sympy.combinatorics.graycode) graycode_subsets() (sympy.combinatorics.graycode method) GreaterThan (class in sympy.core.relational) greek_letters (in module sympy.printing.pretty.pretty_symbology) groebner() (in module sympy.polys.groebnertools) (in module sympy.polys.polytools) GroebnerBasis (class in sympy.polys.polytools) ground_roots() (in module sympy.polys.polytools) (sympy.polys.polytools.Poly method) group() (in module sympy.utilities.iterables) group_name() (sympy.liealgebras.weyl_group.WeylGroup method) group_order() (sympy.liealgebras.weyl_group.WeylGroup method) grover_iteration() (in module sympy.physics.quantum.grover) gruntz() (in module sympy.series.gruntz) Gt (in module sympy.core.relational)

H

H (in module sympy.physics.quantum.gate) HadamardGate (class in sympy.physics.quantum.gate) Half (class in sympy.core.numbers) half_gcdex() (in module sympy.polys.polytools) (sympy.polys.domains.domain.Domain method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) half_per() (sympy.polys.polyclasses.DMF method) hankel1 (class in sympy.functions.special.bessel) hankel2 (class in sympy.functions.special.bessel) hankel_transform() (in module sympy.integrals.transforms) harmonic (class in sympy.functions.combinatorial.numbers) has() (sympy.core.basic.Basic method) has_dups() (in module sympy.utilities.iterables) has_integer_powers() (sympy.physics.units.dimensions.Dimension method) has_only_gens() (sympy.polys.polytools.Poly method) has_q_annihilators() (sympy.physics.secondquant.NO property) has_q_creators() (sympy.physics.secondquant.NO property) has_variety() (in module sympy.utilities.iterables) Heaviside (class in sympy.functions.special.delta_functions) height() (sympy.categories.diagram_drawing.DiagramGrid property) (sympy.physics.optics.gaussopt.GeometricRay property) (sympy.polys.agca.ideals.Ideal method) (sympy.printing.pretty.stringpict.stringPict method) hermite (class in sympy.functions.special.polynomials) hermite_poly() (in module sympy.polys.orthopolys) hermitian

hermitian() (sympy.assumptions.ask.AssumptionKeys property) HermitianOperator (class in sympy.physics.quantum.operator) hessian() (in module sympy.matrices.dense) HeuristicGCDFailed (class in sympy.polys.polyerrors) highest_root() (sympy.liealgebras.type_a.TypeA method) HilbertSpace (class in sympy.physics.quantum.hilbert) hobj() (in module sympy.printing.pretty.pretty_symbology) holzer() (in module sympy.solvers.diophantine) hom() (sympy.categories.Diagram method) homogeneous_order() (in module sympy.solvers.ode) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) homogenize() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) homomorphism() (in module sympy.polys.agca.homomorphisms) HomomorphismFailed (class in sympy.polys.polyerrors) horner() (in module sympy.polys.polyfuncs) hradius() (sympy.geometry.ellipse.Ellipse property) hyper (class in sympy.functions.special.hyper) hyper_algorithm() (in module sympy.series.formal) hyper_re() (in module sympy.series.formal) HyperbolicFunction (class in sympy.functions.elementary.hyperbolic) hyperexpand() (in module sympy.simplify.hyperexpand) hyperfocal_distance() (in module sympy.physics.optics.utils) Hypergeometric() (in module sympy.stats) hypersimilar() (in module sympy.simplify.simplify) hypersimp() (in module sympy.simplify.simplify) hypot (class in sympy.codegen.cfunctions)

I

ibin() (in module sympy.utilities.iterables) Ideal (class in sympy.polys.agca.ideals) ideal() (sympy.polys.domains.ring.Ring method) Identity (class in sympy.matrices.expressions) identity() (sympy.combinatorics.perm_groups.PermutationGroup property) identity_hom() (sympy.polys.agca.modules.FreeModule method) (sympy.polys.agca.modules.Module method) (sympy.polys.agca.modules.QuotientModule method) (sympy.polys.agca.modules.SubModule method) IdentityFunction (class in sympy.functions.elementary.miscellaneous) IdentityGate (class in sympy.physics.quantum.gate) IdentityMorphism (class in sympy.categories) IdentityOperator (class in sympy.physics.quantum.operator) Idx (class in sympy.tensor.indexed) igcd() (in module sympy.core.numbers) ilcm() (in module sympy.core.numbers) im (class in sympy.functions.elementary.complexes) image() (sympy.polys.agca.homomorphisms.ModuleHomomorphism method) ImageSet (class in sympy.sets.fancysets) imageset() (in module sympy.sets.sets) imaginary imaginary() (sympy.assumptions.ask.AssumptionKeys property) ImaginaryUnit (class in sympy.core.numbers) ImmutableDenseMatrix (class in sympy.matrices.immutable) ImmutableDenseNDimArray (class in sympy.tensor.array) ImmutableSparseMatrix (class in sympy.matrices.immutable) ImmutableSparseNDimArray (class in sympy.tensor.array) implemented_function() (in module sympy.utilities.lambdify) implicit_application() (in module sympy.parsing.sympy_parser) implicit_multiplication() (in module sympy.parsing.sympy_parser) implicit_multiplication_application() (in module sympy.parsing.sympy_parser) ImplicitSeries (class in sympy.plotting.plot_implicit) ImpliedDoLoop (class in sympy.codegen.fnodes) Implies (class in sympy.logic.boolalg) imul_num() (sympy.polys.rings.PolyElement method) in_terms_of_generators() (sympy.polys.agca.modules.SubModule method) incenter() (sympy.geometry.polygon.Triangle property) incircle() (sympy.geometry.polygon.RegularPolygon property) (sympy.geometry.polygon.Triangle property) inclusion_hom() (sympy.polys.agca.modules.SubModule method) indent_code() (sympy.printing.ccode.C89CodePrinter method) (sympy.printing.fcode.FCodePrinter method) (sympy.printing.jscode.JavascriptCodePrinter method) (sympy.printing.julia.JuliaCodePrinter method) (sympy.printing.octave.OctaveCodePrinter method) (sympy.printing.rcode.RCodePrinter method) (sympy.printing.rust.RustCodePrinter method) index() (sympy.combinatorics.permutations.Permutation method) (sympy.core.containers.Tuple method) (sympy.physics.secondquant.FixedBosonicBasis method) (sympy.physics.secondquant.VarBosonicBasis method) (sympy.polys.rings.PolyRing method) Indexed (class in sympy.tensor.indexed) IndexedBase (class in sympy.tensor.indexed) indices() (sympy.tensor.indexed.Indexed property) indices_contain_equal_information() (sympy.functions.special.tensor_functions.KroneckerDelta property) (sympy.physics.secondquant.KroneckerDelta property) inertia() (in module sympy.physics.mechanics.functions) inertia_of_point_mass() (in module sympy.physics.mechanics.functions) inf() (sympy.sets.sets.Set property) infinite infinite() (sympy.assumptions.ask.AssumptionKeys property) (sympy.series.formal.FormalPowerSeries property) infinitesimal() (sympy.assumptions.ask.AssumptionKeys property) infinitesimals() (in module sympy.solvers.ode) Infinity (class in sympy.core.numbers) infinity() (sympy.assumptions.ask.AssumptionKeys property) init_printing() (in module sympy.physics.vector.printing) inject() (sympy.polys.domains.compositedomain.CompositeDomain method) (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.simpledomain.SimpleDomain method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) InnerProduct (class in sympy.physics.quantum.innerproduct) (class in sympy.physics.secondquant) inradius() (sympy.geometry.polygon.RegularPolygon property) (sympy.geometry.polygon.Triangle property) IntBaseType (class in sympy.codegen.ast) intcurve_diffequ() (in module sympy.diffgeom) intcurve_series() (in module sympy.diffgeom) integer Integer (class in sympy.core.numbers) integer() (sympy.assumptions.ask.AssumptionKeys property) integer_elements() (sympy.assumptions.ask.AssumptionKeys property) integer_nthroot() (in module sympy.core.power) IntegerPartition (class in sympy.combinatorics.partitions) IntegerRing (class in sympy.polys.domains) Integers (class in sympy.sets.fancysets) Integral (class in sympy.integrals) Integral.is_commutative (in module sympy.integrals) integrand() (sympy.functions.special.hyper.meijerg method) integrate() (in module sympy.integrals) (sympy.core.expr.Expr method) (sympy.holonomic.holonomic.HolonomicFunction method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) (sympy.series.formal.FormalPowerSeries method) integrate_result() (in module sympy.physics.quantum.represent) interactive_traversal() (in module sympy.utilities.iterables) interior() (sympy.sets.sets.Set property) interior_angle() (sympy.geometry.polygon.RegularPolygon property) interpolate() (in module sympy.polys.polyfuncs) interpolating_poly() (in module sympy.polys.specialpolys) intersect() (sympy.polys.agca.ideals.Ideal method) (sympy.polys.agca.modules.SubModule method) (sympy.sets.sets.Set method) Intersection (class in sympy.sets.sets) intersection() (in module sympy.geometry.util) (sympy.geometry.ellipse.Circle method) (sympy.geometry.ellipse.Ellipse method) (sympy.geometry.entity.GeometryEntity method) (sympy.geometry.line.LinearEntity method) (sympy.geometry.plane.Plane method) (sympy.geometry.point.Point method) (sympy.geometry.point.Point3D method) (sympy.geometry.polygon.Polygon method) (sympy.sets.sets.Set method) Interval (class in sympy.sets.sets) interval() (sympy.series.sequences.SeqBase property) intervals() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) IntQubit (class in sympy.physics.quantum.qubit) IntQubitBra (class in sympy.physics.quantum.qubit) intrinsic_impedance() (sympy.physics.optics.medium.Medium property) inv() (sympy.matrices.matrices.MatrixBase method) inv_can_transf_matrix() (sympy.physics.units.dimensions.DimensionSystem property) inv_mod() (sympy.matrices.matrices.MatrixBase method) Inverse (class in sympy.matrices.expressions) inverse_ADJ() (sympy.matrices.matrices.MatrixBase method) inverse_cosine_transform() (in module sympy.integrals.transforms) inverse_fourier_transform() (in module sympy.integrals.transforms) inverse_GE() (sympy.matrices.matrices.MatrixBase method) inverse_hankel_transform() (in module sympy.integrals.transforms) inverse_laplace_transform() (in module sympy.integrals.transforms) inverse_LU() (sympy.matrices.matrices.MatrixBase method) inverse_mellin_transform() (in module sympy.integrals.transforms) inverse_sine_transform() (in module sympy.integrals.transforms) inversion_vector() (sympy.combinatorics.permutations.Permutation method) inversions() (sympy.combinatorics.permutations.Permutation method) invert() (in module sympy.polys.polytools) (sympy.core.expr.Expr method) (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.ring.Ring method) (sympy.polys.polyclasses.DMF method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) invert_complex() (in module sympy.solvers.solveset) invert_real() (in module sympy.solvers.solveset) invertible() (sympy.assumptions.ask.AssumptionKeys property) IQFT (class in sympy.physics.quantum.qft) irrational irrational() (sympy.assumptions.ask.AssumptionKeys property) is_abelian() (sympy.combinatorics.perm_groups.PermutationGroup property) is_above_fermi() (sympy.functions.special.tensor_functions.KroneckerDelta property) (sympy.physics.secondquant.KroneckerDelta property) is_absolutely_convergent() (sympy.concrete.summations.Sum method) is_algebraic_expr() (sympy.core.expr.Expr method) is_aliased() (sympy.polys.numberfields.AlgebraicNumber property) is_alt_sym() (sympy.combinatorics.perm_groups.PermutationGroup method) is_below_fermi() (sympy.functions.special.tensor_functions.KroneckerDelta property) (sympy.physics.secondquant.KroneckerDelta property) is_closed() (sympy.sets.sets.Set property) is_cnf() (in module sympy.logic.boolalg) is_collinear() (sympy.geometry.point.Point method) is_commutative() (sympy.core.function.Function property) (sympy.physics.quantum.state.Wavefunction property) is_comparable() (sympy.core.basic.Basic property) is_concyclic() (sympy.geometry.point.Point method) is_conservative() (in module sympy.physics.vector.fieldfunctions) (in module sympy.vector) is_consistent() (sympy.physics.units.dimensions.DimensionSystem property) (sympy.physics.units.unitsystem.UnitSystem property) is_constant() (sympy.core.expr.Expr method)

is_convergent() (sympy.concrete.products.Product method) (sympy.concrete.summations.Sum method) is_convex() (sympy.geometry.polygon.Polygon method) is_coplanar() (sympy.geometry.plane.Plane method) is_cyclotomic() (sympy.polys.polyclasses.DMP property) (sympy.polys.polytools.Poly property) is_decreasing() (in module sympy.calculus.singularities) is_dimensionless() (sympy.physics.units.dimensions.Dimension property) (sympy.physics.units.dimensions.DimensionSystem method) is_disjoint() (sympy.sets.sets.Set method) is_dnf() (in module sympy.logic.boolalg) is_Empty() (sympy.combinatorics.permutations.Permutation property) is_equilateral() (sympy.geometry.polygon.Triangle method) is_even() (sympy.combinatorics.permutations.Permutation property) is_full_module() (sympy.polys.agca.modules.SubModule method) (sympy.polys.agca.modules.SubQuotientModule method) is_groebner() (in module sympy.polys.groebnertools) is_ground() (sympy.polys.polyclasses.ANP property) (sympy.polys.polyclasses.DMP property) (sympy.polys.polytools.Poly property) is_homogeneous() (sympy.polys.polyclasses.DMP property) (sympy.polys.polytools.Poly property) is_Identity() (sympy.combinatorics.permutations.Permutation property) is_identity() (sympy.core.function.Lambda property) is_increasing() (in module sympy.calculus.singularities) is_injective() (sympy.polys.agca.homomorphisms.ModuleHomomorphism method) is_irreducible() (sympy.polys.polyclasses.DMP property) (sympy.polys.polytools.Poly property) is_isomorphism() (sympy.polys.agca.homomorphisms.ModuleHomomorphism method) is_isosceles() (sympy.geometry.polygon.Triangle method) is_iterable() (sympy.sets.sets.ProductSet property) is_left_unbounded() (sympy.sets.sets.Interval property) is_linear() (sympy.polys.polyclasses.DMP property) (sympy.polys.polytools.Poly property) is_maximal() (sympy.polys.agca.ideals.Ideal method) is_minimal() (in module sympy.polys.groebnertools) is_monic() (sympy.polys.polyclasses.DMP property) (sympy.polys.polytools.Poly property) is_monomial() (sympy.polys.polyclasses.DMP property) (sympy.polys.polytools.Poly property) is_monotonic() (in module sympy.calculus.singularities) is_multivariate() (sympy.polys.polytools.Poly property) is_negative() (sympy.polys.domains.AlgebraicField method) (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.ExpressionDomain method) (sympy.polys.domains.FractionField method) (sympy.polys.domains.PolynomialRing method) is_nilpotent() (sympy.combinatorics.perm_groups.PermutationGroup property) (sympy.matrices.matrices.MatrixBase method) is_nonnegative() (sympy.polys.domains.AlgebraicField method) (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.ExpressionDomain method) (sympy.polys.domains.FractionField method) (sympy.polys.domains.PolynomialRing method) is_nonpositive() (sympy.polys.domains.AlgebraicField method) (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.ExpressionDomain method) (sympy.polys.domains.FractionField method) (sympy.polys.domains.PolynomialRing method) is_nonzero() (sympy.geometry.point.Point property) is_normal() (sympy.combinatorics.perm_groups.PermutationGroup method) is_normalized() (sympy.physics.quantum.state.Wavefunction property) is_nthpow_residue() (in module sympy.ntheory.residue_ntheory) is_number() (sympy.core.expr.Expr property) (sympy.functions.special.hyper.meijerg property) is_odd() (sympy.combinatorics.permutations.Permutation property) is_one() (sympy.polys.domains.domain.Domain method) (sympy.polys.polyclasses.ANP property) (sympy.polys.polyclasses.DMF property) (sympy.polys.polyclasses.DMP property) (sympy.polys.polytools.Poly property) is_only_above_fermi() (sympy.functions.special.tensor_functions.KroneckerDelta property) (sympy.physics.secondquant.KroneckerDelta property) is_only_below_fermi() (sympy.functions.special.tensor_functions.KroneckerDelta property) (sympy.physics.secondquant.KroneckerDelta property) is_only_q_annihilator() (sympy.physics.secondquant.AnnihilateFermion property) (sympy.physics.secondquant.CreateFermion property) is_only_q_creator() (sympy.physics.secondquant.AnnihilateFermion property) (sympy.physics.secondquant.CreateFermion property) is_open() (sympy.sets.sets.Set property) is_parallel() (sympy.geometry.line.LinearEntity method) (sympy.geometry.plane.Plane method) is_perpendicular() (sympy.geometry.line.LinearEntity method) (sympy.geometry.plane.Plane method) is_polynomial() (sympy.core.expr.Expr method) is_positive() (sympy.polys.domains.AlgebraicField method) (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.ExpressionDomain method) (sympy.polys.domains.FractionField method) (sympy.polys.domains.PolynomialRing method) is_primary() (sympy.polys.agca.ideals.Ideal method) is_prime() (sympy.polys.agca.ideals.Ideal method) is_primitive() (sympy.combinatorics.perm_groups.PermutationGroup method) (sympy.polys.polyclasses.DMP property) (sympy.polys.polytools.Poly property) is_primitive_root() (in module sympy.ntheory.residue_ntheory) is_principal() (sympy.polys.agca.ideals.Ideal method) is_proper_subset() (sympy.sets.sets.Set method) is_proper_superset() (sympy.sets.sets.Set method) is_q_annihilator() (sympy.physics.secondquant.AnnihilateFermion property) (sympy.physics.secondquant.CreateFermion property) is_q_creator() (sympy.physics.secondquant.AnnihilateFermion property) (sympy.physics.secondquant.CreateFermion property) is_quad_residue() (in module sympy.ntheory.residue_ntheory) is_quadratic() (sympy.polys.polyclasses.DMP property) (sympy.polys.polytools.Poly property) is_radical() (sympy.polys.agca.ideals.Ideal method) is_rational_function() (sympy.core.expr.Expr method) is_reduced() (in module sympy.polys.groebnertools) is_right() (sympy.geometry.polygon.Triangle method) is_right_unbounded() (sympy.sets.sets.Interval property) is_scalar_multiple() (sympy.geometry.point.Point method) is_scalene() (sympy.geometry.polygon.Triangle method) is_sequence() (in module sympy.core.compatibility) is_similar() (sympy.geometry.entity.GeometryEntity method) (sympy.geometry.line.LinearEntity method) (sympy.geometry.polygon.Triangle method) is_simple() (sympy.functions.special.delta_functions.DiracDelta method) is_Singleton() (sympy.combinatorics.permutations.Permutation property) is_solenoidal() (in module sympy.physics.vector.fieldfunctions) (in module sympy.vector) is_solvable() (sympy.combinatorics.perm_groups.PermutationGroup property) is_sqf() (sympy.polys.polyclasses.DMP property) (sympy.polys.polytools.Poly property) is_strictly_decreasing() (in module sympy.calculus.singularities) is_strictly_increasing() (in module sympy.calculus.singularities) is_subdiagram() (sympy.categories.Diagram method) is_subgroup() (sympy.combinatorics.perm_groups.PermutationGroup method) is_submodule() (sympy.polys.agca.modules.FreeModule method) (sympy.polys.agca.modules.Module method) (sympy.polys.agca.modules.QuotientModule method) (sympy.polys.agca.modules.SubModule method) is_subset() (sympy.sets.sets.Set method) is_superset() (sympy.sets.sets.Set method) is_surjective() (sympy.polys.agca.homomorphisms.ModuleHomomorphism method) is_tangent() (sympy.geometry.ellipse.Ellipse method) is_transitive() (sympy.combinatorics.perm_groups.PermutationGroup method) is_trivial() (sympy.combinatorics.perm_groups.PermutationGroup property) is_true() (sympy.assumptions.ask.AssumptionKeys property) is_univariate() (sympy.polys.polytools.Poly property) is_whole_ring() (sympy.polys.agca.ideals.Ideal method) is_zero() (sympy.geometry.point.Point property) (sympy.matrices.immutable.ImmutableDenseMatrix property) (sympy.polys.agca.homomorphisms.ModuleHomomorphism method) (sympy.polys.agca.ideals.Ideal method) (sympy.polys.agca.modules.FreeModule method) (sympy.polys.agca.modules.Module method) (sympy.polys.agca.modules.QuotientModule method) (sympy.polys.agca.modules.SubModule method) (sympy.polys.domains.domain.Domain method) (sympy.polys.polyclasses.ANP property) (sympy.polys.polyclasses.DMF property) (sympy.polys.polyclasses.DMP property) (sympy.polys.polytools.Poly property) is_zero_dimensional() (in module sympy.polys.polytools) (sympy.polys.polytools.GroebnerBasis property) isdisjoint() (sympy.sets.sets.Set method) isign (class in sympy.codegen.fnodes) isolate() (in module sympy.polys.numberfields) IsomorphismFailed (class in sympy.polys.polyerrors) isprime() (in module sympy.ntheory.primetest) issubset() (sympy.sets.sets.Set method) issuperset() (sympy.sets.sets.Set method) ITE (class in sympy.logic.boolalg) items() (sympy.core.containers.Dict method) iter_q_annihilators() (sympy.physics.secondquant.NO method) iter_q_creators() (sympy.physics.secondquant.NO method) iterable() (in module sympy.core.compatibility) iterate_binary() (sympy.combinatorics.subsets.Subset method) iterate_graycode() (sympy.combinatorics.subsets.Subset method) itercoeffs() (sympy.polys.rings.PolyElement method) itermonomials() (in module sympy.polys.monomials) itermonoms() (sympy.polys.rings.PolyElement method) iterterms() (sympy.polys.rings.PolyElement method)

J

jacobi (class in sympy.functions.special.polynomials) jacobi_normalized() (in module sympy.functions.special.polynomials) jacobi_poly() (in module sympy.polys.orthopolys) jacobi_symbol() (in module sympy.ntheory.residue_ntheory) jacobian() (sympy.diffgeom.CoordSystem method) JavascriptCodePrinter (class in sympy.printing.jscode) jn (class in sympy.functions.special.bessel) jn_zeros() (in module sympy.functions.special.bessel) join() (sympy.physics.continuum_mechanics.beam.Beam method) jordan_cell() (in module sympy.matrices.dense) josephus() (sympy.combinatorics.permutations.Permutation class method) jscode() (in module sympy.printing.jscode) julia_code() (in module sympy.printing.julia)

JuliaCodeGen (class in sympy.utilities.codegen) JuliaCodePrinter (class in sympy.printing.julia) JxBra (class in sympy.physics.quantum.spin) JxBraCoupled (class in sympy.physics.quantum.spin) JxKet (class in sympy.physics.quantum.spin) JxKetCoupled (class in sympy.physics.quantum.spin) JyBra (class in sympy.physics.quantum.spin) JyBraCoupled (class in sympy.physics.quantum.spin) JyKet (class in sympy.physics.quantum.spin) JyKetCoupled (class in sympy.physics.quantum.spin) JzBra (class in sympy.physics.quantum.spin) JzBraCoupled (class in sympy.physics.quantum.spin) JzKet (class in sympy.physics.quantum.spin) JzKetCoupled (class in sympy.physics.quantum.spin)

K

kahane_simplify() (in module sympy.physics.hep.gamma_matrices) kanes_equations() (sympy.physics.mechanics.kane.KanesMethod method) KanesMethod (class in sympy.physics.mechanics.kane) kbins() (in module sympy.utilities.iterables) kernel() (sympy.polys.agca.homomorphisms.ModuleHomomorphism method) Ket (class in sympy.physics.quantum.state) ket() (sympy.physics.quantum.operator.OuterProduct property) (sympy.physics.secondquant.InnerProduct property) KetBase (class in sympy.physics.quantum.state) key2bounds() (sympy.matrices.matrices.MatrixBase method) key2ij() (sympy.matrices.matrices.MatrixBase method) keys() (sympy.core.containers.Dict method) kid_rsa_private_key() (in module sympy.crypto.crypto) kid_rsa_public_key() (in module sympy.crypto.crypto) killable_index() (sympy.functions.special.tensor_functions.KroneckerDelta property) (sympy.physics.secondquant.KroneckerDelta property) kin_explicit_rhs() (sympy.physics.mechanics.system.SymbolicSystem property) kind (class in sympy.codegen.fnodes) kindiffdict() (sympy.physics.mechanics.kane.KanesMethod method)

kinematic_equations() (in module sympy.physics.vector.functions) kinetic_energy() (in module sympy.physics.mechanics.functions) (sympy.physics.mechanics.particle.Particle method) (sympy.physics.mechanics.rigidbody.RigidBody method) known_fcns_src1 (in module sympy.printing.julia) (in module sympy.printing.octave) known_fcns_src2 (in module sympy.printing.julia) (in module sympy.printing.octave) known_functions (in module sympy.printing.jscode) (in module sympy.printing.mathematica) (in module sympy.printing.rcode) (in module sympy.printing.rust) known_functions_C89 (in module sympy.printing.ccode) known_functions_C99 (in module sympy.printing.ccode) KroneckerDelta (class in sympy.functions.special.tensor_functions) (class in sympy.physics.secondquant) ksubsets() (sympy.combinatorics.subsets method) Kumaraswamy() (in module sympy.stats) kwargs() (sympy.codegen.ast.Token method)

L

l1_norm() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) L2 (class in sympy.physics.quantum.hilbert) Label (class in sympy.codegen.cnodes) label() (sympy.physics.quantum.state.TimeDepState property) (sympy.tensor.indexed.Idx property) (sympy.tensor.indexed.IndexedBase property) labeller() (in module sympy.physics.quantum.circuitplot) LagrangesMethod (class in sympy.physics.mechanics.lagrange) Lagrangian() (in module sympy.physics.mechanics.functions) laguerre (class in sympy.functions.special.polynomials) laguerre_poly() (in module sympy.polys.orthopolys) Lambda (class in sympy.core.function) lambda_notation() (in module sympy.parsing.sympy_parser) LambdaPrinter (class in sympy.printing.lambdarepr) lambdarepr() (in module sympy.printing.lambdarepr) lambdastr() (in module sympy.utilities.lambdify) lambdify() (in module sympy.utilities.lambdify) LambertW (class in sympy.functions.elementary.exponential) Laplace() (in module sympy.stats) laplace_transform() (in module sympy.integrals.transforms) latex() (in module sympy.printing.latex) LaTeXParsingError (class in sympy.parsing.latex) LatexPrinter (class in sympy.printing.latex) lbound() (in module sympy.codegen.fnodes) LC() (in module sympy.polys.polytools) (sympy.polys.polyclasses.ANP method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) lcm() (in module sympy.polys.polytools) (sympy.core.numbers.Number method) (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.field.Field method) (sympy.polys.domains.PolynomialRing method) (sympy.polys.domains.RealField method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) lcm_list() (in module sympy.polys.polytools) ldescent() (in module sympy.solvers.diophantine) LDLdecomposition() (sympy.matrices.matrices.MatrixBase method) (sympy.matrices.sparse.SparseMatrix method) LDLsolve() (sympy.matrices.matrices.MatrixBase method) Le (in module sympy.core.relational) leading_expv() (sympy.polys.rings.PolyElement method) leading_monom() (sympy.polys.rings.PolyElement method) leading_term() (sympy.polys.rings.PolyElement method) leadterm() (sympy.core.expr.Expr method) left() (sympy.printing.pretty.stringpict.stringPict method) (sympy.sets.sets.Interval property) left_open() (sympy.sets.sets.Interval property) leftslash() (sympy.printing.pretty.stringpict.stringPict method) legendre (class in sympy.functions.special.polynomials) legendre_poly() (in module sympy.polys.orthopolys) legendre_symbol() (in module sympy.ntheory.residue_ntheory) length() (sympy.combinatorics.permutations.Permutation method) (sympy.geometry.curve.Curve property) (sympy.geometry.line.LinearEntity property) (sympy.geometry.line.Segment property) (sympy.geometry.point.Point property) (sympy.geometry.polygon.RegularPolygon property) (sympy.physics.continuum_mechanics.beam.Beam property) (sympy.polys.polytools.Poly method) (sympy.series.sequences.SeqBase property) lens_formula() (in module sympy.physics.optics.utils) lens_makers_formula() (in module sympy.physics.optics.utils) lerchphi (class in sympy.functions.special.zeta_functions) LessThan (class in sympy.core.relational) LeviCivita (class in sympy.functions.special.tensor_functions) LexOrder (class in sympy.polys.orderings) lfsr_autocorrelation() (in module sympy.crypto.crypto) lfsr_connection_polynomial() (in module sympy.crypto.crypto) lfsr_sequence() (in module sympy.crypto.crypto) Li (class in sympy.functions.special.error_functions) li (class in sympy.functions.special.error_functions) lie_algebra() (sympy.liealgebras.type_a.TypeA method) (sympy.liealgebras.type_b.TypeB method) (sympy.liealgebras.type_c.TypeC method) (sympy.liealgebras.type_d.TypeD method) lie_heuristic_abaco1_product() (in module sympy.solvers.ode) lie_heuristic_abaco1_simple() (in module sympy.solvers.ode)

lie_heuristic_abaco2_similar() (in module sympy.solvers.ode) lie_heuristic_abaco2_unique_general() (in module sympy.solvers.ode) lie_heuristic_abaco2_unique_unknown() (in module sympy.solvers.ode) lie_heuristic_bivariate() (in module sympy.solvers.ode) lie_heuristic_chi() (in module sympy.solvers.ode) lie_heuristic_function_sum() (in module sympy.solvers.ode) lie_heuristic_linear() (in module sympy.solvers.ode) LieDerivative (class in sympy.diffgeom) lift() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) Limit (class in sympy.series.limits) limit() (in module sympy.series.limits) (sympy.core.expr.Expr method) limit_denominator() (sympy.core.numbers.Rational method) limit_seq() (in module sympy.series.limitseq) limitinf() (in module sympy.series.gruntz) limits() (sympy.geometry.curve.Curve property) (sympy.physics.quantum.state.Wavefunction property) Line (class in sympy.geometry.line) Line2D (class in sympy.geometry.line) Line2DBaseSeries (class in sympy.plotting.plot) Line3D (class in sympy.geometry.line) Line3DBaseSeries (class in sympy.plotting.plot) line_integrate() (in module sympy.integrals) linear_eq_to_matrix() (in module sympy.solvers.solveset) linear_momentum() (in module sympy.physics.mechanics.functions) (sympy.physics.mechanics.particle.Particle method) (sympy.physics.mechanics.rigidbody.RigidBody method) LinearEntity (class in sympy.geometry.line) LinearEntity2D (class in sympy.geometry.line) LinearEntity3D (class in sympy.geometry.line) linearize() (sympy.physics.mechanics.kane.KanesMethod method) (sympy.physics.mechanics.lagrange.LagrangesMethod method) (sympy.physics.mechanics.linearize.Linearizer method) Linearizer (class in sympy.physics.mechanics.linearize) LineOver1DRangeSeries (class in sympy.plotting.plot) linsolve() (in module sympy.solvers.solveset) list() (sympy.combinatorics.permutations.Cycle method) (sympy.combinatorics.permutations.Permutation method) list2numpy() (in module sympy.matrices.dense) list_can_dims() (sympy.physics.units.dimensions.DimensionSystem property) list_visitor() (in module sympy.utilities.enumerative) listcoeffs() (sympy.polys.rings.PolyElement method) listmonoms() (sympy.polys.rings.PolyElement method) listterms() (sympy.polys.rings.PolyElement method) literal_dp (class in sympy.codegen.fnodes) literal_sp (class in sympy.codegen.fnodes) liupc() (sympy.matrices.sparse.SparseMatrix method) LM() (in module sympy.polys.polytools) (sympy.polys.polytools.Poly method) load() (sympy.physics.continuum_mechanics.beam.Beam property) loads() (sympy.physics.mechanics.system.SymbolicSystem property) locate_new() (sympy.vector.coordsysrect.CoordSys3D method) locatenew() (sympy.physics.vector.point.Point method) log (class in sympy.functions.elementary.exponential) log() (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.IntegerRing method) log10 (class in sympy.codegen.cfunctions) log1p (class in sympy.codegen.cfunctions) log2 (class in sympy.codegen.cfunctions) logcombine() (in module sympy.simplify.simplify) loggamma (class in sympy.functions.special.gamma_functions) Logistic() (in module sympy.stats) LogNormal() (in module sympy.stats) Lopen() (sympy.sets.sets.Interval class method) lower() (sympy.physics.secondquant.AntiSymmetricTensor property) (sympy.tensor.indexed.Idx property) lower_central_series() (sympy.combinatorics.perm_groups.PermutationGroup method) lower_triangular() (sympy.assumptions.ask.AssumptionKeys property) lower_triangular_solve() (sympy.matrices.matrices.MatrixBase method) lowergamma (class in sympy.functions.special.gamma_functions) lseries() (sympy.core.expr.Expr method) Lt (in module sympy.core.relational) LT() (in module sympy.polys.polytools) (sympy.polys.polytools.Poly method) ltrim() (sympy.polys.polytools.Poly method) lucas (class in sympy.functions.combinatorial.numbers) LUdecomposition() (sympy.matrices.matrices.MatrixBase method) LUdecomposition_Simple() (sympy.matrices.matrices.MatrixBase method) LUdecompositionFF() (sympy.matrices.matrices.MatrixBase method) LUsolve() (sympy.matrices.matrices.MatrixBase method)

M

magnitude() (sympy.physics.vector.vector.Vector method) (sympy.vector.vector.Vector method) major() (sympy.geometry.ellipse.Ellipse property) make_perm() (sympy.combinatorics.perm_groups.PermutationGroup method) make_routine() (in module sympy.utilities.codegen) Manifold (class in sympy.diffgeom) map() (sympy.polys.domains.domain.Domain method) mass() (sympy.physics.mechanics.particle.Particle property) mass_matrix() (sympy.physics.mechanics.kane.KanesMethod property) (sympy.physics.mechanics.lagrange.LagrangesMethod property) mass_matrix_full() (sympy.physics.mechanics.kane.KanesMethod property) (sympy.physics.mechanics.lagrange.LagrangesMethod property) MatAdd (class in sympy.matrices.expressions) match() (sympy.core.basic.Basic method) matches() (sympy.core.basic.Basic method) mathematica() (in module sympy.parsing.mathematica) mathematica_code() (in module sympy.printing.mathematica) MathieuBase (class in sympy.functions.special.mathieu_functions) mathieuc (class in sympy.functions.special.mathieu_functions) mathieucprime (class in sympy.functions.special.mathieu_functions) mathieus (class in sympy.functions.special.mathieu_functions) mathieusprime (class in sympy.functions.special.mathieu_functions) mathml() (in module sympy.printing.mathml) mathml_tag() (sympy.printing.mathml.MathMLContentPrinter method) (sympy.printing.mathml.MathMLPresentationPrinter method) MathMLContentPrinter (class in sympy.printing.mathml) MathMLPresentationPrinter (class in sympy.printing.mathml) MathMLPrinterBase (class in sympy.printing.mathml) MatMul (class in sympy.matrices.expressions) MatPow (class in sympy.matrices.expressions) matrix2numpy() (in module sympy.matrices.dense) matrix_fglm() (in module sympy.polys.fglmtools) matrix_form() (sympy.liealgebras.weyl_group.WeylGroup method) matrix_multiply_elementwise() (in module sympy.matrices.dense) matrix_rep() (in module sympy.physics.secondquant) matrix_to_density() (in module sympy.physics.quantum.qubit) matrix_to_qubit() (in module sympy.physics.quantum.qubit) matrix_to_vector() (in module sympy.vector) MatrixBase (class in sympy.matrices.matrices) MatrixError (class in sympy.matrices.matrices) MatrixExpr (class in sympy.matrices.expressions) MatrixSymbol (class in sympy.matrices.expressions) Max (class in sympy.functions.elementary.miscellaneous) max() (sympy.codegen.ast.FloatType property) (sympy.combinatorics.permutations.Permutation method) max_bmoment() (sympy.physics.continuum_mechanics.beam.Beam method) max_deflection() (sympy.physics.continuum_mechanics.beam.Beam method) max_div() (sympy.combinatorics.perm_groups.PermutationGroup property) max_exponent() (sympy.codegen.ast.FloatType property) max_norm() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) max_shear_force() (sympy.physics.continuum_mechanics.beam.Beam method) Maxwell() (in module sympy.stats) MCodePrinter (class in sympy.printing.mathematica) mdft() (in module sympy.physics.matrices) measure() (sympy.sets.sets.Set property) measure_all() (in module sympy.physics.quantum.qubit) measure_all_oneshot() (in module sympy.physics.quantum.qubit) measure_partial() (in module sympy.physics.quantum.qubit) measure_partial_oneshot() (in module sympy.physics.quantum.qubit) medial() (sympy.geometry.polygon.Triangle property) medians() (sympy.geometry.polygon.Triangle property) Medium (class in sympy.physics.optics.medium) meets() (sympy.series.gruntz.SubsSet method) meijerg (class in sympy.functions.special.hyper) mellin_transform() (in module sympy.integrals.transforms) memoize_property() (in module sympy.utilities.decorator) merge (class in sympy.codegen.fnodes) merge_solution() (in module sympy.solvers.diophantine) metric_to_Christoffel_1st() (in module sympy.diffgeom) metric_to_Christoffel_2nd() (in module sympy.diffgeom) metric_to_Ricci_components() (in module sympy.diffgeom) metric_to_Riemann_components() (in module sympy.diffgeom) mgamma() (in module sympy.physics.matrices) midpoint() (sympy.geometry.line.Segment property) (sympy.geometry.point.Point method) Min (class in sympy.functions.elementary.miscellaneous) min() (sympy.combinatorics.permutations.Permutation method) min_exponent() (sympy.codegen.ast.FloatType property) min_qubits() (sympy.physics.quantum.gate.CGate property) (sympy.physics.quantum.gate.CNotGate property) (sympy.physics.quantum.gate.Gate property) minimal_block() (sympy.combinatorics.perm_groups.PermutationGroup method) minimal_blocks() (sympy.combinatorics.perm_groups.PermutationGroup method) minimal_polynomial() (in module sympy.polys.numberfields) minlex() (in module sympy.utilities.iterables) minor() (sympy.geometry.ellipse.Ellipse property) minpoly() (in module sympy.polys.numberfields) mirror_formula() (in module sympy.physics.optics.utils) mobius (class in sympy.ntheory) mobiusrange() (sympy.ntheory.generate.Sieve method) Mod (class in sympy.core.mod) modgcd_bivariate() (in module sympy.polys.modulargcd) modgcd_multivariate() (in module sympy.polys.modulargcd) modgcd_univariate() (in module sympy.polys.modulargcd) module sympy sympy.assumptions sympy.assumptions.ask sympy.assumptions.assume sympy.assumptions.handlers sympy.assumptions.handlers.calculus sympy.assumptions.handlers.ntheory sympy.assumptions.handlers.order sympy.assumptions.handlers.sets sympy.assumptions.refine sympy.calculus sympy.calculus.euler sympy.calculus.finite_diff sympy.calculus.singularities sympy.categories sympy.categories.diagram_drawing sympy.codegen.algorithms sympy.codegen.approximations sympy.codegen.ast sympy.codegen.cfunctions sympy.codegen.cnodes sympy.codegen.cutils sympy.codegen.cxxnodes sympy.codegen.fnodes sympy.codegen.futils sympy.codegen.pyutils sympy.codegen.rewriting sympy.combinatorics.generators sympy.combinatorics.graycode sympy.combinatorics.group_constructs sympy.combinatorics.named_groups sympy.combinatorics.partitions sympy.combinatorics.perm_groups sympy.combinatorics.permutations sympy.combinatorics.polyhedron sympy.combinatorics.prufer sympy.combinatorics.subsets sympy.combinatorics.tensor_can sympy.combinatorics.testutil sympy.combinatorics.util sympy.core.add sympy.core.assumptions sympy.core.basic sympy.core.cache sympy.core.compatibility sympy.core.containers sympy.core.core sympy.core.evalf sympy.core.expr sympy.core.exprtools sympy.core.function sympy.core.mod sympy.core.mul sympy.core.multidimensional sympy.core.numbers sympy.core.power sympy.core.relational sympy.core.singleton sympy.core.symbol sympy.core.sympify sympy.crypto.crypto sympy.diffgeom sympy.functions sympy.functions.special.bessel sympy.functions.special.beta_functions sympy.functions.special.elliptic_integrals sympy.functions.special.error_functions sympy.functions.special.gamma_functions sympy.functions.special.mathieu_functions sympy.functions.special.polynomials sympy.functions.special.singularity_functions sympy.functions.special.zeta_functions sympy.geometry.curve sympy.geometry.ellipse sympy.geometry.entity sympy.geometry.line sympy.geometry.plane sympy.geometry.point sympy.geometry.polygon sympy.geometry.util sympy.holonomic sympy.holonomic.holonomic, [1], [2], [3] sympy.integrals sympy.integrals.intpoly sympy.integrals.meijerint_doc sympy.integrals.transforms sympy.liealgebras sympy.logic sympy.matrices sympy.matrices.expressions sympy.matrices.expressions.blockmatrix sympy.matrices.immutable sympy.matrices.matrices sympy.matrices.sparse sympy.ntheory.continued_fraction sympy.ntheory.egyptian_fraction sympy.ntheory.factor_ sympy.ntheory.generate sympy.ntheory.modular sympy.ntheory.multinomial sympy.ntheory.partitions_ sympy.ntheory.primetest sympy.ntheory.residue_ntheory sympy.physics sympy.physics.continuum_mechanics.beam sympy.physics.hep.gamma_matrices sympy.physics.hydrogen sympy.physics.matrices sympy.physics.mechanics.body sympy.physics.mechanics.kane sympy.physics.mechanics.lagrange sympy.physics.mechanics.linearize sympy.physics.mechanics.particle sympy.physics.mechanics.rigidbody sympy.physics.mechanics.system sympy.physics.optics.gaussopt sympy.physics.optics.medium sympy.physics.optics.utils sympy.physics.optics.waves sympy.physics.paulialgebra sympy.physics.qho_1d sympy.physics.quantum.anticommutator sympy.physics.quantum.cartesian sympy.physics.quantum.cg sympy.physics.quantum.circuitplot sympy.physics.quantum.commutator sympy.physics.quantum.constants sympy.physics.quantum.dagger sympy.physics.quantum.gate sympy.physics.quantum.grover sympy.physics.quantum.hilbert sympy.physics.quantum.innerproduct sympy.physics.quantum.operator sympy.physics.quantum.operatorset sympy.physics.quantum.piab sympy.physics.quantum.qapply sympy.physics.quantum.qft sympy.physics.quantum.qubit sympy.physics.quantum.represent sympy.physics.quantum.shor sympy.physics.quantum.spin sympy.physics.quantum.state sympy.physics.quantum.tensorproduct sympy.physics.secondquant sympy.physics.sho sympy.physics.units.dimensions sympy.physics.units.prefixes sympy.physics.units.quantities sympy.physics.units.unitsystem sympy.physics.units.util sympy.physics.vector.functions sympy.physics.vector.point sympy.physics.wigner sympy.plotting.plot sympy.plotting.pygletplot sympy.printing.ccode sympy.printing.codeprinter sympy.printing.conventions sympy.printing.cxxcode sympy.printing.fcode sympy.printing.gtk sympy.printing.jscode sympy.printing.julia sympy.printing.lambdarepr sympy.printing.latex sympy.printing.mathematica sympy.printing.mathml sympy.printing.octave sympy.printing.precedence sympy.printing.pretty.pretty sympy.printing.pretty.pretty_symbology sympy.printing.pretty.stringpict sympy.printing.preview sympy.printing.printer sympy.printing.pycode sympy.printing.python sympy.printing.rcode sympy.printing.repr sympy.printing.rust sympy.printing.str sympy.printing.theanocode sympy.printing.tree sympy.sets.fancysets sympy.sets.sets sympy.simplify.combsimp sympy.simplify.cse_main, [1] sympy.simplify.epathtools sympy.simplify.hyperexpand sympy.simplify.hyperexpand_doc sympy.simplify.powsimp sympy.simplify.radsimp sympy.simplify.ratsimp sympy.simplify.simplify sympy.simplify.sqrtdenest sympy.simplify.traversaltools sympy.simplify.trigsimp sympy.solvers sympy.solvers.inequalities sympy.solvers.ode sympy.solvers.pde sympy.solvers.recurr sympy.solvers.solveset sympy.stats sympy.stats.crv sympy.stats.crv_types sympy.stats.frv sympy.stats.frv_types sympy.stats.rv sympy.tensor sympy.tensor.array sympy.tensor.index_methods sympy.tensor.indexed sympy.tensor.tensor sympy.utilities sympy.utilities.autowrap sympy.utilities.codegen sympy.utilities.decorator sympy.utilities.enumerative sympy.utilities.iterables sympy.utilities.lambdify sympy.utilities.memoization sympy.utilities.misc sympy.utilities.pkgdata sympy.utilities.pytest sympy.utilities.randtest sympy.utilities.runtests sympy.utilities.source sympy.utilities.timeutils

Module (class in sympy.codegen.fnodes) (class in sympy.polys.agca.modules) module_quotient() (sympy.polys.agca.modules.SubModule method) ModuleHomomorphism (class in sympy.polys.agca.homomorphisms) momentum() (sympy.physics.quantum.cartesian.PxBra property) (sympy.physics.quantum.cartesian.PxKet property) monic() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) (sympy.polys.rings.PolyElement method) Monomial (class in sympy.polys.monomials) monomial_basis() (sympy.polys.rings.PolyRing method) monomial_count() (in module sympy.polys.monomials) monoms() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) (sympy.polys.rings.PolyElement method) monotonicity_helper() (in module sympy.calculus.singularities) Morphism (class in sympy.categories) morphisms() (sympy.categories.diagram_drawing.DiagramGrid property) MpmathPrinter (class in sympy.printing.pycode) mr() (in module sympy.ntheory.primetest) mrv() (in module sympy.series.gruntz) mrv_leadterm() (in module sympy.series.gruntz) mrv_max1() (in module sympy.series.gruntz) mrv_max3() (in module sympy.series.gruntz) msigma() (in module sympy.physics.matrices) msubs() (in module sympy.physics.mechanics) Mul (class in sympy.core.mul) Mul() (sympy.assumptions.handlers.calculus.AskFiniteHandler static method) (sympy.assumptions.handlers.sets.AskAntiHermitianHandler static method) (sympy.assumptions.handlers.sets.AskHermitianHandler static method) (sympy.assumptions.handlers.sets.AskImaginaryHandler static method) (sympy.assumptions.handlers.sets.AskIntegerHandler static method) (sympy.assumptions.handlers.sets.AskRationalHandler static method) (sympy.assumptions.handlers.sets.AskRealHandler static method) mul() (sympy.polys.domains.domain.Domain method) (sympy.polys.polyclasses.DMF method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) (sympy.polys.rings.PolyRing method) mul_ground() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) mul_inv() (sympy.combinatorics.permutations.Permutation method) mul_xin() (in module sympy.polys.ring_series) MultiFactorial (class in sympy.functions.combinatorial.factorials) multinomial_coefficients() (in module sympy.ntheory.multinomial) multinomial_coefficients_iterator() (in module sympy.ntheory.multinomial) multiplicity() (in module sympy.ntheory.factor_) multiply() (sympy.matrices.matrices.MatrixBase method) multiply_ideal() (sympy.polys.agca.modules.FreeModule method) (sympy.polys.agca.modules.Module method) (sympy.polys.agca.modules.SubModule method) multiset() (in module sympy.utilities.iterables) multiset_combinations() (in module sympy.utilities.iterables) multiset_partitions() (in module sympy.utilities.iterables) multiset_partitions_taocp() (in module sympy.utilities.enumerative) multiset_permutations() (in module sympy.utilities.iterables) MultisetPartitionTraverser (class in sympy.utilities.enumerative) MultivariatePolynomialError (class in sympy.polys.polyerrors) MutableDenseMatrix (class in sympy.matrices.dense) MutableDenseNDimArray (class in sympy.tensor.array) MutableSparseMatrix (class in sympy.matrices.sparse) MutableSparseNDimArray (class in sympy.tensor.array) Mx (class in sympy.physics.quantum.circuitplot) Mz (class in sympy.physics.quantum.circuitplot)

N

N() (in module sympy.core.evalf) n() (sympy.combinatorics.graycode.GrayCode property) (sympy.geometry.point.Point method) N() (sympy.physics.quantum.shor.CMod property) n() (sympy.polys.domains.domain.Domain method) n_order() (in module sympy.ntheory.residue_ntheory) Nakagami() (in module sympy.stats) name() (sympy.categories.Category property) (sympy.categories.NamedMorphism property) NamedMorphism (class in sympy.categories) NaN (class in sympy.core.numbers) Nand (class in sympy.logic.boolalg) nargs() (sympy.core.function.FunctionClass property) native_coeffs() (sympy.polys.numberfields.AlgebraicNumber method) Naturals (class in sympy.sets.fancysets) Naturals0 (class in sympy.sets.fancysets) Ne (in module sympy.core.relational) necklaces() (in module sympy.utilities.iterables) neg() (sympy.polys.domains.domain.Domain method) (sympy.polys.polyclasses.DMF method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) negative negative() (sympy.assumptions.ask.AssumptionKeys property) NegativeInfinity (class in sympy.core.numbers) NegativeOne (class in sympy.core.numbers) new() (sympy.polys.polytools.Poly class method) newtons_method() (in module sympy.codegen.algorithms) newtons_method_function() (in module sympy.codegen.algorithms) next() (sympy.combinatorics.graycode.GrayCode method) (sympy.combinatorics.prufer.Prufer method) (sympy.printing.pretty.stringpict.stringPict static method) next_binary() (sympy.combinatorics.subsets.Subset method) next_gray() (sympy.combinatorics.subsets.Subset method) next_lex() (sympy.combinatorics.partitions.IntegerPartition method) (sympy.combinatorics.permutations.Permutation method) next_lexicographic() (sympy.combinatorics.subsets.Subset method) next_nonlex() (sympy.combinatorics.permutations.Permutation method) next_trotterjohnson() (sympy.combinatorics.permutations.Permutation method) nextprime() (in module sympy.ntheory.generate) nfloat() (in module sympy.core.function) nine_point_circle() (sympy.geometry.polygon.Triangle property) nnz() (sympy.matrices.sparse.SparseMatrix method) NO (class in sympy.physics.secondquant) no_attrs_in_subclass (class in sympy.utilities.decorator) Node (class in sympy.codegen.ast) nodes() (sympy.combinatorics.prufer.Prufer property) NoneToken (class in sympy.codegen.ast) nonlinsolve() (in module sympy.solvers.solveset) nonnegative nonnegative() (sympy.assumptions.ask.AssumptionKeys property) nonpositive

nonpositive() (sympy.assumptions.ask.AssumptionKeys property) NonSquareMatrixError (class in sympy.matrices.matrices) nonzero nonzero() (sympy.assumptions.ask.AssumptionKeys property) Nor (class in sympy.logic.boolalg) norm() (sympy.matrices.matrices.MatrixBase method) (sympy.physics.quantum.state.Wavefunction property) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) Normal() (in module sympy.stats) normal() (sympy.assumptions.ask.AssumptionKeys property) normal_closure() (sympy.combinatorics.perm_groups.PermutationGroup method) normal_lines() (sympy.geometry.ellipse.Ellipse method) normal_vector() (sympy.geometry.plane.Plane property) normalize() (sympy.physics.quantum.state.Wavefunction method) (sympy.physics.vector.vector.Vector method) (sympy.vector.vector.Vector method) normalize_theta_set() (in module sympy.sets.fancysets) normalized() (in module sympy.physics.quantum.gate) (sympy.matrices.matrices.MatrixBase method) NormalPSpace (class in sympy.stats.crv_types) Not (class in sympy.logic.boolalg) not_point() (sympy.physics.quantum.circuitplot.CircuitPlot method) NotAlgebraic (class in sympy.polys.polyerrors) NotInvertible (class in sympy.polys.polyerrors) NotReversible (class in sympy.polys.polyerrors) npartitions() (in module sympy.ntheory.partitions_) nqubits() (sympy.physics.quantum.gate.CGate property) (sympy.physics.quantum.gate.Gate property) nroots() (in module sympy.polys.polytools) (sympy.polys.polytools.Poly method) nseries() (sympy.core.expr.Expr method) nsimplify() (in module sympy.simplify.simplify) (sympy.core.expr.Expr method) nsolve() (in module sympy.solvers.solvers) nth() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) nth_power_roots_poly() (in module sympy.polys.polytools) (sympy.polys.polytools.Poly method) nthroot() (in module sympy.simplify.simplify) nthroot_mod() (in module sympy.ntheory.residue_ntheory) nu() (sympy.functions.special.hyper.meijerg property) Number (class in sympy.core.numbers) numbered_symbols() (in module sympy.utilities.iterables) NumberSymbol (class in sympy.core.numbers) numer() (sympy.polys.domains.AlgebraicField method) (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.ExpressionDomain method) (sympy.polys.domains.FractionField method) (sympy.polys.domains.ring.Ring method) (sympy.polys.polyclasses.DMF method) NumPyPrinter (class in sympy.printing.pycode)

O

Object (class in sympy.categories) objects() (sympy.categories.Category property) (sympy.categories.Diagram property) octave_code() (in module sympy.printing.octave) OctaveCodeGen (class in sympy.utilities.codegen) OctaveCodePrinter (class in sympy.printing.octave) odd odd() (sympy.assumptions.ask.AssumptionKeys property) ode_1st_exact() (in module sympy.solvers.ode) ode_1st_homogeneous_coeff_best() (in module sympy.solvers.ode) ode_1st_homogeneous_coeff_subs_dep_div_indep() (in module sympy.solvers.ode) ode_1st_homogeneous_coeff_subs_indep_div_dep() (in module sympy.solvers.ode) ode_1st_linear() (in module sympy.solvers.ode) ode_1st_power_series() (in module sympy.solvers.ode) ode_2nd_power_series_ordinary() (in module sympy.solvers.ode) ode_2nd_power_series_regular() (in module sympy.solvers.ode) ode_almost_linear() (in module sympy.solvers.ode) ode_Bernoulli() (in module sympy.solvers.ode) ode_lie_group() (in module sympy.solvers.ode) ode_linear_coefficients() (in module sympy.solvers.ode) ode_Liouville() (in module sympy.solvers.ode) ode_nth_linear_constant_coeff_homogeneous() (in module sympy.solvers.ode) ode_nth_linear_constant_coeff_undetermined_coefficients() (in module sympy.solvers.ode) ode_nth_linear_constant_coeff_variation_of_parameters() (in module sympy.solvers.ode) ode_order() (in module sympy.solvers.deutils) ode_Riccati_special_minus2() (in module sympy.solvers.ode) ode_separable() (in module sympy.solvers.ode) ode_separable_reduced() (in module sympy.solvers.ode) ode_sol_simplicity() (in module sympy.solvers.ode) odesimp() (in module sympy.solvers.ode) of_type() (sympy.polys.domains.domain.Domain method) offset() (sympy.tensor.indexed.IndexedBase property) old_frac_field() (sympy.polys.domains.domain.Domain method) old_poly_ring() (sympy.polys.domains.domain.Domain method) One (class in sympy.core.numbers) one() (sympy.polys.polytools.Poly property) one_qubit_box() (sympy.physics.quantum.circuitplot.CircuitPlot method) OneQubitGate (class in sympy.physics.quantum.gate)

ones() (in module sympy.matrices.dense) open() (sympy.sets.sets.Interval class method) OperationNotSupported (class in sympy.polys.polyerrors) Operator (class in sympy.physics.quantum.operator) operators() (sympy.physics.quantum.state.StateBase property) operators_to_state() (in module sympy.physics.quantum.operatorset) opt_cse() (in module sympy.simplify.cse_main) Optimization (class in sympy.codegen.rewriting) optimize() (in module sympy.codegen.rewriting) OptionError (class in sympy.polys.polyerrors) Or (class in sympy.logic.boolalg) OracleGate (class in sympy.physics.quantum.grover) orbit() (sympy.combinatorics.perm_groups.PermutationGroup method) orbit_rep() (sympy.combinatorics.perm_groups.PermutationGroup method) orbit_transversal() (sympy.combinatorics.perm_groups.PermutationGroup method) orbits() (sympy.combinatorics.perm_groups.PermutationGroup method) Order (class in sympy.series.order) order() (sympy.combinatorics.perm_groups.PermutationGroup method) (sympy.combinatorics.permutations.Permutation method) (sympy.functions.special.bessel.BesselBase property) ordered_partitions() (in module sympy.utilities.iterables) orient() (sympy.physics.vector.frame.ReferenceFrame method) orient_new() (sympy.vector.coordsysrect.CoordSys3D method) orient_new_axis() (sympy.vector.coordsysrect.CoordSys3D method) orient_new_body() (sympy.vector.coordsysrect.CoordSys3D method) orient_new_quaternion() (sympy.vector.coordsysrect.CoordSys3D method) orient_new_space() (sympy.vector.coordsysrect.CoordSys3D method) Orienter (class in sympy.vector.orienters) orientnew() (sympy.physics.vector.frame.ReferenceFrame method) origin() (sympy.geometry.point.Point property) orthocenter() (sympy.geometry.polygon.Triangle property) orthogonal() (sympy.assumptions.ask.AssumptionKeys property) orthogonal_direction() (sympy.geometry.point.Point property) outer() (in module sympy.physics.vector.functions) (sympy.physics.vector.vector.Vector method) (sympy.vector.vector.Vector method) OuterProduct (class in sympy.physics.quantum.operator) OutputArgument (class in sympy.utilities.codegen)

P

P() (in module sympy.stats) p1() (sympy.geometry.line.LinearEntity property) (sympy.geometry.plane.Plane property) p2() (sympy.geometry.line.LinearEntity property) padded_key() (in module sympy.crypto.crypto) parallel_line() (sympy.geometry.line.LinearEntity method) parallel_plane() (sympy.geometry.plane.Plane method) parallel_poly_from_expr() (in module sympy.polys.polytools) parameter() (sympy.geometry.curve.Curve property) parameter_value() (sympy.geometry.entity.GeometryEntity method) (sympy.geometry.plane.Plane method) Parametric2DLineSeries (class in sympy.plotting.plot) Parametric3DLineSeries (class in sympy.plotting.plot) ParametricSurfaceSeries (class in sympy.plotting.plot) parametrize_ternary_quadratic() (in module sympy.solvers.diophantine) parens() (sympy.printing.pretty.stringpict.stringPict method) Pareto() (in module sympy.stats) parity() (sympy.combinatorics.permutations.Permutation method) parse_expr() (in module sympy.parsing.sympy_parser) parse_latex() (in module sympy.parsing.latex) parse_maxima() (in module sympy.parsing.maxima) partial_velocity() (in module sympy.physics.vector.functions) (sympy.physics.vector.frame.ReferenceFrame method) (sympy.physics.vector.point.Point method) Particle (class in sympy.physics.mechanics.particle) Partition (class in sympy.combinatorics.partitions) partition() (in module sympy.solvers.diophantine) (sympy.combinatorics.partitions.Partition property) partitions() (in module sympy.utilities.iterables) pat_matrix() (in module sympy.physics.matrices) Patch (class in sympy.diffgeom) pde_1st_linear_constant_coeff() (in module sympy.solvers.pde) pde_1st_linear_constant_coeff_homogeneous() (in module sympy.solvers.pde) pde_1st_linear_variable_coeff() (in module sympy.solvers.pde) pde_separate() (in module sympy.solvers.pde) pde_separate_add() (in module sympy.solvers.pde) pde_separate_mul() (in module sympy.solvers.pde) pdiv() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) pdsolve() (in module sympy.solvers.pde) per() (sympy.polys.polyclasses.DMF method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) perfect_power() (in module sympy.ntheory.factor_) periapsis() (sympy.geometry.ellipse.Ellipse property) perimeter() (sympy.geometry.polygon.Polygon property) period_find() (in module sympy.physics.quantum.shor) periodic_argument (class in sympy.functions.elementary.complexes) perm2tensor() (sympy.tensor.tensor.TensMul method) permeability() (sympy.physics.optics.medium.Medium property) permittivity() (sympy.physics.optics.medium.Medium property) Permutation (class in sympy.combinatorics.permutations) PermutationGroup (class in sympy.combinatorics.perm_groups) PermutationOperator (class in sympy.physics.secondquant) permute() (sympy.polys.polyclasses.DMP method) permute_signs() (in module sympy.utilities.iterables) permutedims() (in module sympy.tensor.array) perpendicular_bisector() (sympy.geometry.line.Segment method) perpendicular_line() (sympy.geometry.line.LinearEntity method) (sympy.geometry.line.LinearEntity2D method) (sympy.geometry.plane.Plane method) perpendicular_plane() (sympy.geometry.plane.Plane method) perpendicular_segment() (sympy.geometry.line.LinearEntity method) pexquo() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) pgroup() (sympy.combinatorics.polyhedron.Polyhedron property) Phase (in module sympy.physics.quantum.gate) phase() (sympy.physics.optics.waves.TWave property) PhaseGate (class in sympy.physics.quantum.gate) Pi (class in sympy.core.numbers) PIABBra (class in sympy.physics.quantum.piab) PIABHamiltonian (class in sympy.physics.quantum.piab) PIABKet (class in sympy.physics.quantum.piab) Piecewise (class in sympy.functions.elementary.piecewise) piecewise_fold() (in module sympy.functions.elementary.piecewise) pinv() (sympy.matrices.matrices.MatrixBase method) pinv_solve() (sympy.matrices.matrices.MatrixBase method) Plane (class in sympy.geometry.plane) Plot (class in sympy.plotting.plot) plot() (in module sympy.plotting.plot) plot3d() (in module sympy.plotting.plot) plot3d_parametric_line() (in module sympy.plotting.plot) plot3d_parametric_surface() (in module sympy.plotting.plot) plot_gate() (sympy.physics.quantum.gate.CGate method) plot_implicit() (in module sympy.plotting.plot_implicit) plot_interval() (sympy.geometry.curve.Curve method) (sympy.geometry.ellipse.Ellipse method) (sympy.geometry.line.Line method) (sympy.geometry.line.Ray method) (sympy.geometry.line.Segment method) (sympy.geometry.polygon.Polygon method) plot_parametric() (in module sympy.plotting.plot) Point (class in sympy.diffgeom) (class in sympy.geometry.point) (class in sympy.physics.vector.point) point() (sympy.core.function.Subs property) (sympy.diffgeom.CoordSystem method) (sympy.physics.mechanics.particle.Particle property) Point2D (class in sympy.geometry.point) Point3D (class in sympy.geometry.point) point_cflexure() (sympy.physics.continuum_mechanics.beam.Beam method) point_to_coords() (sympy.diffgeom.CoordSystem method) Pointer (class in sympy.codegen.ast) points() (sympy.geometry.line.LinearEntity property) pointwise_stabilizer() (sympy.combinatorics.perm_groups.PermutationGroup method) Poisson() (in module sympy.stats) polar() (sympy.sets.fancysets.ComplexRegion property) polar_lift (class in sympy.functions.elementary.complexes) PoleError (class in sympy.core.function) PolificationFailed (class in sympy.polys.polyerrors) pollard_pm1() (in module sympy.ntheory.factor_) pollard_rho() (in module sympy.ntheory.factor_) Poly (class in sympy.polys.polytools) poly() (in module sympy.polys.polytools) poly_from_expr() (in module sympy.polys.polytools) poly_ring() (sympy.polys.domains.domain.Domain method) poly_unify() (sympy.polys.polyclasses.DMF method) PolyElement (class in sympy.polys.rings) polygamma (class in sympy.functions.special.gamma_functions) Polygon (class in sympy.geometry.polygon) Polyhedron (class in sympy.combinatorics.polyhedron) polylog (class in sympy.functions.special.zeta_functions) polynomial() (sympy.series.formal.FormalPowerSeries method) PolynomialError (class in sympy.polys.polyerrors) PolynomialRing (class in sympy.polys.domains) PolyRing (class in sympy.polys.rings) polytope_integrate() (in module sympy.integrals.intpoly) pos() (sympy.polys.domains.domain.Domain method) pos_from() (sympy.physics.vector.point.Point method) POSform() (in module sympy.logic.boolalg) posify() (in module sympy.simplify.simplify) position() (sympy.physics.quantum.cartesian.XBra property) (sympy.physics.quantum.cartesian.XKet property) position_wrt() (sympy.vector.coordsysrect.CoordSys3D method) position_x() (sympy.physics.quantum.cartesian.PositionState3D property) position_y() (sympy.physics.quantum.cartesian.PositionState3D property) position_z() (sympy.physics.quantum.cartesian.PositionState3D property) PositionBra3D (class in sympy.physics.quantum.cartesian) PositionKet3D (class in sympy.physics.quantum.cartesian) PositionState3D (class in sympy.physics.quantum.cartesian) positive positive() (sympy.assumptions.ask.AssumptionKeys property) positive_definite() (sympy.assumptions.ask.AssumptionKeys property) positive_roots() (sympy.liealgebras.type_a.TypeA method) (sympy.liealgebras.type_b.TypeB method) (sympy.liealgebras.type_c.TypeC method) (sympy.liealgebras.type_d.TypeD method) (sympy.liealgebras.type_e.TypeE method) (sympy.liealgebras.type_f.TypeF method) (sympy.liealgebras.type_g.TypeG method) PostDecrement (class in sympy.codegen.cnodes)

postfixes() (in module sympy.utilities.iterables) PostIncrement (class in sympy.codegen.cnodes) postorder_traversal() (in module sympy.utilities.iterables) potential_energy() (in module sympy.physics.mechanics.functions) (sympy.physics.mechanics.particle.Particle property) (sympy.physics.mechanics.rigidbody.RigidBody property) Pow (class in sympy.core.power) Pow() (sympy.assumptions.handlers.calculus.AskFiniteHandler static method) (sympy.assumptions.handlers.ntheory.AskPrimeHandler static method) (sympy.assumptions.handlers.order.AskNegativeHandler static method) (sympy.assumptions.handlers.sets.AskAntiHermitianHandler static method) (sympy.assumptions.handlers.sets.AskHermitianHandler static method) (sympy.assumptions.handlers.sets.AskImaginaryHandler static method) (sympy.assumptions.handlers.sets.AskIntegerHandler static method) (sympy.assumptions.handlers.sets.AskRationalHandler static method) (sympy.assumptions.handlers.sets.AskRealHandler static method) pow() (sympy.polys.domains.domain.Domain method) (sympy.polys.polyclasses.ANP method) (sympy.polys.polyclasses.DMF method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) pow_xin() (in module sympy.polys.ring_series) powdenest() (in module sympy.simplify.powsimp) powerset() (sympy.sets.sets.Set method) powsimp() (in module sympy.simplify.powsimp) (sympy.core.expr.Expr method) pprint_nodes() (in module sympy.printing.tree) PQa() (in module sympy.solvers.diophantine) pquo() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) PRECEDENCE (in module sympy.printing.precedence) precedence() (in module sympy.printing.precedence) PRECEDENCE_FUNCTIONS (in module sympy.printing.precedence) PRECEDENCE_VALUES (in module sympy.printing.precedence) PrecisionExhausted (class in sympy.core.evalf) PreDecrement (class in sympy.codegen.cnodes) Predicate (class in sympy.assumptions.assume) preferred_index() (sympy.functions.special.tensor_functions.KroneckerDelta property) (sympy.physics.secondquant.KroneckerDelta property) Prefix (class in sympy.physics.units.prefixes) prefixes() (in module sympy.utilities.iterables) PreIncrement (class in sympy.codegen.cnodes) prem() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) premises() (sympy.categories.Diagram property) presentation() (sympy.combinatorics.perm_groups.PermutationGroup method) pretty() (in module sympy.printing.pretty.pretty) pretty_atom() (in module sympy.printing.pretty.pretty_symbology) pretty_print() (in module sympy.printing.pretty.pretty) pretty_symbol() (in module sympy.printing.pretty.pretty_symbology) pretty_try_use_unicode() (in module sympy.printing.pretty.pretty_symbology) pretty_use_unicode() (in module sympy.printing.pretty.pretty_symbology) prettyForm (class in sympy.printing.pretty.stringpict) PrettyPrinter (class in sympy.printing.pretty.pretty) prev() (sympy.combinatorics.prufer.Prufer method) prev_binary() (sympy.combinatorics.subsets.Subset method) prev_gray() (sympy.combinatorics.subsets.Subset method) prev_lex() (sympy.combinatorics.partitions.IntegerPartition method) prev_lexicographic() (sympy.combinatorics.subsets.Subset method) preview() (in module sympy.printing.preview) preview_diagram() (in module sympy.categories.diagram_drawing) prevprime() (in module sympy.ntheory.generate) prime prime() (in module sympy.ntheory.generate) (sympy.assumptions.ask.AssumptionKeys property) prime_as_sum_of_two_squares() (in module sympy.solvers.diophantine) primefactors() (in module sympy.ntheory.factor_) primenu (class in sympy.ntheory.factor_) primeomega (class in sympy.ntheory.factor_) primepi() (in module sympy.ntheory.generate) primerange() (in module sympy.ntheory.generate) (sympy.ntheory.generate.Sieve method) primitive() (in module sympy.polys.polytools) (sympy.core.add.Add method) (sympy.core.expr.Expr method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) (sympy.polys.rings.PolyElement method) primitive_element() (in module sympy.polys.numberfields) primitive_root() (in module sympy.ntheory.residue_ntheory) primorial() (in module sympy.ntheory.generate) principal_branch (class in sympy.functions.elementary.complexes) Print (class in sympy.codegen.ast) print_ccode() (in module sympy.printing.ccode) print_dim_base() (sympy.physics.units.dimensions.DimensionSystem method) print_fcode() (in module sympy.printing.fcode) print_gtk() (in module sympy.printing.gtk) print_latex() (in module sympy.printing.latex) print_mathml() (in module sympy.printing.mathml) print_node() (in module sympy.printing.tree) print_nonzero() (sympy.matrices.matrices.MatrixBase method) print_rcode() (in module sympy.printing.rcode) print_tree() (in module sympy.printing.tree) print_unit_base() (sympy.physics.units.unitsystem.UnitSystem method) Printer (class in sympy.printing.printer) printmethod (sympy.printing.ccode.C89CodePrinter attribute) (sympy.printing.ccode.C99CodePrinter attribute) (sympy.printing.codeprinter.CodePrinter attribute) (sympy.printing.cxxcode.CXX11CodePrinter attribute) (sympy.printing.cxxcode.CXX98CodePrinter attribute) (sympy.printing.fcode.FCodePrinter attribute) (sympy.printing.jscode.JavascriptCodePrinter attribute) (sympy.printing.julia.JuliaCodePrinter attribute) (sympy.printing.lambdarepr.LambdaPrinter attribute) (sympy.printing.latex.LatexPrinter attribute) (sympy.printing.mathematica.MCodePrinter attribute) (sympy.printing.mathml.MathMLContentPrinter attribute) (sympy.printing.mathml.MathMLPresentationPrinter attribute) (sympy.printing.octave.OctaveCodePrinter attribute) (sympy.printing.pretty.pretty.PrettyPrinter attribute) (sympy.printing.printer.Printer attribute) (sympy.printing.rcode.RCodePrinter attribute) (sympy.printing.repr.ReprPrinter attribute) (sympy.printing.rust.RustCodePrinter attribute) (sympy.printing.str.StrPrinter attribute) (sympy.printing.theanocode.TheanoPrinter attribute) prob() (sympy.physics.quantum.state.Wavefunction method) Probability (class in sympy.stats) prod() (in module sympy.core.mul) Product (class in sympy.concrete.products) product() (in module sympy.concrete.products) (sympy.polys.agca.ideals.Ideal method) ProductDomain (class in sympy.stats.rv) ProductPSpace (class in sympy.stats.rv) ProductSet (class in sympy.sets.sets) Program (class in sympy.codegen.fnodes) project() (sympy.geometry.point.Point static method) (sympy.matrices.matrices.MatrixBase method) projection() (sympy.geometry.line.LinearEntity method) (sympy.geometry.plane.Plane method) (sympy.vector.vector.Vector method) projection_line() (sympy.geometry.plane.Plane method) Prufer (class in sympy.combinatorics.prufer) prufer_rank() (sympy.combinatorics.prufer.Prufer method) prufer_repr() (sympy.combinatorics.prufer.Prufer property) psets() (sympy.sets.fancysets.ComplexRegion property) psi_n() (in module sympy.physics.qho_1d) Psi_nlm() (in module sympy.physics.hydrogen) PSpace (class in sympy.stats.rv) pspace() (in module sympy.stats.rv) public() (in module sympy.utilities.decorator) PurePoly (class in sympy.polys.polytools) PxBra (class in sympy.physics.quantum.cartesian) PxKet (class in sympy.physics.quantum.cartesian) PxOp (class in sympy.physics.quantum.cartesian) pycode() (in module sympy.printing.pycode) PyTestReporter (class in sympy.utilities.runtests) Python Enhancement Proposals PEP 335, [1], [2], [3] PythonFiniteField (class in sympy.polys.domains) PythonIntegerRing (class in sympy.polys.domains) PythonRationalField (class in sympy.polys.domains)

Q

q() (sympy.physics.optics.gaussopt.BeamParameter property) qapply() (in module sympy.physics.quantum.qapply) QFT (class in sympy.physics.quantum.qft) QRdecomposition() (sympy.matrices.matrices.MatrixBase method) QRsolve() (sympy.matrices.matrices.MatrixBase method) quadratic_residues() (in module sympy.ntheory.residue_ntheory) QuadraticU() (in module sympy.stats) Quantity (class in sympy.physics.units.quantities) QuaternionOrienter (class in sympy.vector.orienters) Qubit (class in sympy.physics.quantum.qubit) qubit_to_matrix() (in module sympy.physics.quantum.qubit) QubitBra (class in sympy.physics.quantum.qubit) quo() (in module sympy.polys.polytools) (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.field.Field method) (sympy.polys.domains.ring.Ring method) (sympy.polys.polyclasses.DMF method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method)

quo_ground() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) QuotedString (class in sympy.codegen.ast) quotient() (sympy.polys.agca.ideals.Ideal method) quotient_codomain() (sympy.polys.agca.homomorphisms.ModuleHomomorphism method) quotient_domain() (sympy.polys.agca.homomorphisms.ModuleHomomorphism method) quotient_hom() (sympy.polys.agca.modules.QuotientModule method) (sympy.polys.agca.modules.SubQuotientModule method) quotient_module() (sympy.polys.agca.modules.FreeModule method) (sympy.polys.agca.modules.Module method) (sympy.polys.agca.modules.SubModule method) quotient_ring() (sympy.polys.domains.ring.Ring method) QuotientModule (class in sympy.polys.agca.modules)

R

R_nl() (in module sympy.physics.hydrogen) (in module sympy.physics.sho) racah() (in module sympy.physics.wigner) rad_rationalize() (in module sympy.simplify.radsimp) radical() (sympy.polys.agca.ideals.Ideal method) radius() (sympy.geometry.ellipse.Circle property) (sympy.geometry.polygon.RegularPolygon property) (sympy.physics.optics.gaussopt.BeamParameter property) radius_of_convergence() (sympy.functions.special.hyper.hyper property) radsimp() (in module sympy.simplify.radsimp) (sympy.core.expr.Expr method) RaisedCosine() (in module sympy.stats) raises() (in module sympy.utilities.pytest) randMatrix() (in module sympy.matrices.dense) random() (sympy.combinatorics.perm_groups.PermutationGroup method) (sympy.combinatorics.permutations.Permutation class method) random_bitstring() (sympy.combinatorics.graycode method) random_circuit() (in module sympy.physics.quantum.gate) random_complex_number() (in module sympy.utilities.randtest) random_integer_partition() (in module sympy.combinatorics.partitions) random_point() (sympy.geometry.ellipse.Ellipse method) (sympy.geometry.line.LinearEntity method) (sympy.geometry.plane.Plane method) random_poly() (in module sympy.polys.specialpolys) random_pr() (sympy.combinatorics.perm_groups.PermutationGroup method) random_stab() (sympy.combinatorics.perm_groups.PermutationGroup method) random_symbols() (in module sympy.stats.rv) RandomDomain (class in sympy.stats.rv) RandomSymbol (class in sympy.stats.rv) randprime() (in module sympy.ntheory.generate) Range (class in sympy.sets.fancysets) ranges() (sympy.tensor.indexed.Indexed property) rank() (sympy.combinatorics.graycode.GrayCode property) (sympy.combinatorics.partitions.Partition property) (sympy.combinatorics.permutations.Permutation method) (sympy.combinatorics.prufer.Prufer property) (sympy.liealgebras.cartan_type.Standard_Cartan method) (sympy.tensor.indexed.Indexed property) rank_binary() (sympy.combinatorics.subsets.Subset property) rank_gray() (sympy.combinatorics.subsets.Subset property) rank_lexicographic() (sympy.combinatorics.subsets.Subset property) rank_nonlex() (sympy.combinatorics.permutations.Permutation method) rank_trotterjohnson() (sympy.combinatorics.permutations.Permutation method) rat_clear_denoms() (sympy.polys.polytools.Poly method) rational Rational (class in sympy.core.numbers) rational() (sympy.assumptions.ask.AssumptionKeys property) rational_algorithm() (in module sympy.series.formal) rational_independent() (in module sympy.series.formal) RationalField (class in sympy.polys.domains) rationalize() (in module sympy.parsing.sympy_parser) ratsimp() (in module sympy.simplify.ratsimp) (sympy.core.expr.Expr method) rawlines() (in module sympy.utilities.misc) Ray (class in sympy.geometry.line) Ray2D (class in sympy.geometry.line) Ray3D (class in sympy.geometry.line) Rayleigh() (in module sympy.stats) rayleigh2waist() (in module sympy.physics.optics.gaussopt) RayTransferMatrix (class in sympy.physics.optics.gaussopt) rcall() (sympy.core.basic.Basic method) rcode() (in module sympy.printing.rcode) RCodePrinter (class in sympy.printing.rcode) rcollect() (in module sympy.simplify.radsimp) re (class in sympy.functions.elementary.complexes) reaction_loads() (sympy.physics.continuum_mechanics.beam.Beam property) real real() (sympy.assumptions.ask.AssumptionKeys property) real_elements() (sympy.assumptions.ask.AssumptionKeys property) real_root() (in module sympy.functions.elementary.miscellaneous) real_roots() (in module sympy.polys.polytools) (sympy.polys.polytools.Poly method) RealField (class in sympy.polys.domains) RealNumber (in module sympy.core.numbers) reconstruct() (in module sympy.solvers.diophantine) recurrence_memo() (in module sympy.utilities.memoization) red_groebner() (in module sympy.polys.groebnertools) reduce() (sympy.polys.polytools.GroebnerBasis method) (sympy.series.sequences.SeqAdd static method) (sympy.series.sequences.SeqMul static method) (sympy.sets.sets.Complement static method) reduce_abs_inequalities() (in module sympy.solvers.inequalities) reduce_abs_inequality() (in module sympy.solvers.inequalities) reduce_element() (sympy.polys.agca.ideals.Ideal method) (sympy.polys.agca.modules.SubModule method) reduce_inequalities() (in module sympy.solvers.inequalities) reduce_rational_inequalities() (in module sympy.solvers.inequalities) reduced() (in module sympy.polys.polytools) reduced_totient (class in sympy.ntheory.factor_) ReferenceFrame (class in sympy.physics.vector.frame) refine() (in module sympy.assumptions.refine) (sympy.core.expr.Expr method) refine_abs() (in module sympy.assumptions.refine) refine_atan2() (in module sympy.assumptions.refine) refine_Pow() (in module sympy.assumptions.refine) refine_Relational() (in module sympy.assumptions.refine) refine_root() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) RefinementFailed (class in sympy.polys.polyerrors) reflect() (sympy.geometry.ellipse.Circle method) (sympy.geometry.ellipse.Ellipse method) (sympy.geometry.entity.GeometryEntity method) (sympy.geometry.polygon.RegularPolygon method) refraction_angle() (in module sympy.physics.optics.utils) refractive_index() (sympy.physics.optics.medium.Medium property) register_handler() (in module sympy.assumptions.ask) RegularPolygon (class in sympy.geometry.polygon) Rel (in module sympy.core.relational) rem() (in module sympy.polys.polytools) (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.field.Field method) (sympy.polys.domains.ring.Ring method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) remove_handler() (in module sympy.assumptions.ask) remove_load() (sympy.physics.continuum_mechanics.beam.Beam method) removeO() (sympy.core.expr.Expr method) render() (sympy.printing.pretty.stringpict.stringPict method) render_as_module() (in module sympy.codegen.futils) (in module sympy.codegen.pyutils) render_as_source_file() (in module sympy.codegen.cutils) reorder() (sympy.polys.polytools.Poly method) rep_expectation() (in module sympy.physics.quantum.represent) rep_innerproduct() (in module sympy.physics.quantum.represent) repeated_decimals() (in module sympy.parsing.sympy_parser) replace() (in module sympy.utilities.misc) (sympy.core.basic.Basic method) (sympy.polys.polytools.Poly method) ReplaceOptim (class in sympy.codegen.rewriting) Reporter (class in sympy.utilities.runtests) represent() (in module sympy.physics.quantum.represent) reprify() (sympy.printing.repr.ReprPrinter method) ReprPrinter (class in sympy.printing.repr) reset() (sympy.combinatorics.polyhedron.Polyhedron method) reshape() (in module sympy.codegen.fnodes) (in module sympy.utilities.iterables) residue() (in module sympy.series.residues) restrict_codomain() (sympy.polys.agca.homomorphisms.ModuleHomomorphism method)

restrict_domain() (sympy.polys.agca.homomorphisms.ModuleHomomorphism method) Result (class in sympy.utilities.codegen) result_variables() (sympy.utilities.codegen.Routine property) resultant() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) retract() (sympy.polys.polytools.Poly method) Return (class in sympy.codegen.ast) reverse_order() (sympy.concrete.products.Product method) (sympy.concrete.summations.Sum method) reversed() (sympy.sets.fancysets.Range property) ReversedGradedLexOrder (class in sympy.polys.orderings) revert() (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.field.Field method) (sympy.polys.domains.ring.Ring method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) rewrite() (in module sympy.series.gruntz) (sympy.core.basic.Basic method) RGS() (sympy.combinatorics.partitions.Partition property) RGS_enum() (in module sympy.combinatorics.partitions) RGS_generalized() (in module sympy.combinatorics.partitions) RGS_rank() (in module sympy.combinatorics.partitions) RGS_unrank() (in module sympy.combinatorics.partitions) rhs() (sympy.physics.mechanics.kane.KanesMethod method) (sympy.physics.mechanics.lagrange.LagrangesMethod method) richardson() (in module sympy.series.acceleration) riemann_cyclic() (in module sympy.tensor.tensor) riemann_cyclic_replace() (in module sympy.tensor.tensor) right() (sympy.printing.pretty.stringpict.stringPict method) (sympy.sets.sets.Interval property) right_open() (sympy.sets.sets.Interval property) RigidBody (class in sympy.physics.mechanics.rigidbody) Ring (class in sympy.polys.domains.ring) ring() (in module sympy.polys.rings) RisingFactorial (class in sympy.functions.combinatorial.factorials) Rk (in module sympy.physics.quantum.qft) RkGate (class in sympy.physics.quantum.qft) RL() (sympy.matrices.sparse.SparseMatrix property) rmul() (sympy.combinatorics.permutations.Permutation static method) rmul_with_af() (sympy.combinatorics.permutations.Permutation class method) root (in module sympy.printing.pretty.pretty_symbology) root() (in module sympy.functions.elementary.miscellaneous) (sympy.polys.polytools.Poly method) (sympy.printing.pretty.stringpict.stringPict method) root_space() (sympy.liealgebras.root_system.RootSystem method) RootOf (class in sympy.polys.rootoftools) rootof() (in module sympy.polys.rootoftools) roots() (in module sympy.polys.polyroots) (sympy.liealgebras.type_a.TypeA method) (sympy.liealgebras.type_b.TypeB method) (sympy.liealgebras.type_c.TypeC method) (sympy.liealgebras.type_d.TypeD method) (sympy.liealgebras.type_e.TypeE method) (sympy.liealgebras.type_f.TypeF method) (sympy.liealgebras.type_g.TypeG method) RootSum (class in sympy.polys.rootoftools) RootSystem (class in sympy.liealgebras.root_system) Ropen() (sympy.sets.sets.Interval class method) rot_axis1() (in module sympy.matrices.dense) rot_axis2() (in module sympy.matrices.dense) rot_axis3() (in module sympy.matrices.dense) rotate() (sympy.combinatorics.polyhedron.Polyhedron method) (sympy.geometry.curve.Curve method) (sympy.geometry.ellipse.Ellipse method) (sympy.geometry.entity.GeometryEntity method) (sympy.geometry.point.Point2D method) (sympy.geometry.polygon.RegularPolygon method) rotate_left() (in module sympy.utilities.iterables) rotate_right() (in module sympy.utilities.iterables) Rotation (class in sympy.physics.quantum.spin) rotation() (sympy.geometry.polygon.RegularPolygon property) rotation_matrix() (sympy.vector.coordsysrect.CoordSys3D method) (sympy.vector.orienters.AxisOrienter method) (sympy.vector.orienters.Orienter method) round() (sympy.core.expr.Expr method) RoundFunction (class in sympy.functions.elementary.integers) Routine (class in sympy.utilities.codegen) routine() (sympy.utilities.codegen.CodeGen method) (sympy.utilities.codegen.JuliaCodeGen method) (sympy.utilities.codegen.OctaveCodeGen method) (sympy.utilities.codegen.RustCodeGen method) row_del() (sympy.matrices.dense.MutableDenseMatrix method) (sympy.matrices.sparse.MutableSparseMatrix method) row_join() (sympy.matrices.sparse.MutableSparseMatrix method) row_list() (sympy.matrices.sparse.SparseMatrix method) row_op() (sympy.matrices.dense.MutableDenseMatrix method) (sympy.matrices.sparse.MutableSparseMatrix method) row_structure_symbolic_cholesky() (sympy.matrices.sparse.SparseMatrix method) row_swap() (sympy.matrices.dense.MutableDenseMatrix method) (sympy.matrices.sparse.MutableSparseMatrix method) rs_asin() (in module sympy.polys.ring_series) rs_atan() (in module sympy.polys.ring_series) rs_atanh() (in module sympy.polys.ring_series) rs_compose_add() (in module sympy.polys.ring_series) rs_cos() (in module sympy.polys.ring_series) rs_cos_sin() (in module sympy.polys.ring_series) rs_cosh() (in module sympy.polys.ring_series) rs_cot() (in module sympy.polys.ring_series) rs_diff() (in module sympy.polys.ring_series) rs_exp() (in module sympy.polys.ring_series) rs_fun() (in module sympy.polys.ring_series) rs_hadamard_exp() (in module sympy.polys.ring_series) rs_integrate() (in module sympy.polys.ring_series) rs_is_puiseux() (in module sympy.polys.ring_series) rs_LambertW() (in module sympy.polys.ring_series) rs_log() (in module sympy.polys.ring_series) rs_mul() (in module sympy.polys.ring_series) rs_newton() (in module sympy.polys.ring_series) rs_nth_root() (in module sympy.polys.ring_series) rs_pow() (in module sympy.polys.ring_series) rs_puiseux() (in module sympy.polys.ring_series) rs_puiseux2() (in module sympy.polys.ring_series) rs_series_from_list() (in module sympy.polys.ring_series) rs_series_inversion() (in module sympy.polys.ring_series) rs_series_reversion() (in module sympy.polys.ring_series) rs_sin() (in module sympy.polys.ring_series) rs_sinh() (in module sympy.polys.ring_series) rs_square() (in module sympy.polys.ring_series) rs_subs() (in module sympy.polys.ring_series) rs_swap() (in module sympy.stats.rv) rs_tan() (in module sympy.polys.ring_series) rs_tanh() (in module sympy.polys.ring_series) rs_trunc() (in module sympy.polys.ring_series) rsa_private_key() (in module sympy.crypto.crypto) rsa_public_key() (in module sympy.crypto.crypto) rsolve() (in module sympy.solvers.recurr) rsolve_hyper() (in module sympy.solvers.recurr) rsolve_hypergeometric() (in module sympy.series.formal) rsolve_poly() (in module sympy.solvers.recurr) rsolve_ratio() (in module sympy.solvers.recurr) run() (sympy.utilities.runtests.SymPyDocTestRunner method) run_all_tests() (in module sympy.utilities.runtests) run_in_subprocess_with_hash_randomization() (in module sympy.utilities.runtests) runs() (in module sympy.utilities.iterables) (sympy.combinatorics.permutations.Permutation method) rust_code() (in module sympy.printing.rust) RustCodeGen (class in sympy.utilities.codegen) RustCodePrinter (class in sympy.printing.rust)

S

S (in module sympy.physics.quantum.gate) sample() (in module sympy.stats) sample_iter() (in module sympy.stats) satisfiable() (in module sympy.logic.inference) saturate() (sympy.polys.agca.ideals.Ideal method) scalar_map() (sympy.vector.coordsysrect.CoordSys3D method) scalar_multiply() (sympy.matrices.sparse.SparseMatrix method) scalar_potential() (in module sympy.physics.vector.fieldfunctions) (in module sympy.vector) scalar_potential_difference() (in module sympy.physics.vector.fieldfunctions) (in module sympy.vector) scale() (sympy.geometry.curve.Curve method) (sympy.geometry.ellipse.Circle method) (sympy.geometry.ellipse.Ellipse method) (sympy.geometry.entity.GeometryEntity method) (sympy.geometry.point.Point2D method) (sympy.geometry.point.Point3D method) (sympy.geometry.polygon.RegularPolygon method) (sympy.series.fourier.FourierSeries method) scale_factor() (sympy.physics.units.quantities.Quantity property) scalex() (sympy.series.fourier.FourierSeries method) schreier_sims() (sympy.combinatorics.perm_groups.PermutationGroup method) schreier_sims_incremental() (sympy.combinatorics.perm_groups.PermutationGroup method) schreier_sims_random() (sympy.combinatorics.perm_groups.PermutationGroup method) schreier_vector() (sympy.combinatorics.perm_groups.PermutationGroup method) Scope (class in sympy.codegen.ast) sdm_add() (in module sympy.polys.distributedmodules) sdm_deg() (in module sympy.polys.distributedmodules) sdm_ecart() (in module sympy.polys.distributedmodules) sdm_from_dict() (in module sympy.polys.distributedmodules) sdm_from_vector() (in module sympy.polys.distributedmodules) sdm_groebner() (in module sympy.polys.distributedmodules) sdm_LC() (in module sympy.polys.distributedmodules) sdm_LM() (in module sympy.polys.distributedmodules) sdm_LT() (in module sympy.polys.distributedmodules) sdm_monomial_deg() (in module sympy.polys.distributedmodules) sdm_monomial_divides() (in module sympy.polys.distributedmodules) sdm_monomial_mul() (in module sympy.polys.distributedmodules) sdm_mul_term() (in module sympy.polys.distributedmodules) sdm_nf_mora() (in module sympy.polys.distributedmodules) sdm_spoly() (in module sympy.polys.distributedmodules) sdm_to_dict() (in module sympy.polys.distributedmodules) sdm_to_vector() (in module sympy.polys.distributedmodules) sdm_zero() (in module sympy.polys.distributedmodules) search() (sympy.ntheory.generate.Sieve method) search_function() (sympy.physics.quantum.grover.OracleGate property) sec (class in sympy.functions.elementary.trigonometric) sech (class in sympy.functions.elementary.hyperbolic) second_moment() (sympy.physics.continuum_mechanics.beam.Beam property) second_moment_of_area() (sympy.geometry.ellipse.Ellipse method) (sympy.geometry.polygon.Polygon method) Segment (class in sympy.geometry.line) Segment2D (class in sympy.geometry.line) Segment3D (class in sympy.geometry.line) select() (sympy.simplify.epathtools.EPath method) selections() (sympy.combinatorics.graycode.GrayCode property) semilatus_rectum() (sympy.geometry.ellipse.Ellipse property) separate() (sympy.core.expr.Expr method) (sympy.physics.vector.vector.Vector method) (sympy.vector.vector.Vector method) separatevars() (in module sympy.simplify.simplify) SeqAdd (class in sympy.series.sequences) SeqBase (class in sympy.series.sequences) SeqFormula (class in sympy.series.sequences) SeqMul (class in sympy.series.sequences) SeqPer (class in sympy.series.sequences) sequence() (in module sympy.series.sequences) series() (in module sympy.series.series) (sympy.core.expr.Expr method) (sympy.holonomic.holonomic.HolonomicFunction method) (sympy.liealgebras.cartan_type.Standard_Cartan method) SeriesApprox (class in sympy.codegen.approximations) Set (class in sympy.sets.sets) set_acc() (sympy.physics.vector.point.Point method) set_ang_acc() (sympy.physics.vector.frame.ReferenceFrame method) set_ang_vel() (sympy.physics.vector.frame.ReferenceFrame method) set_comm() (sympy.tensor.tensor._TensorManager method) set_comms() (sympy.tensor.tensor._TensorManager method) set_domain() (sympy.polys.polytools.Poly method) set_global_settings() (sympy.printing.printer.Printer class method) set_modulus() (sympy.polys.polytools.Poly method) set_pos() (sympy.physics.vector.point.Point method) set_vel() (sympy.physics.vector.point.Point method) seterr() (in module sympy.core.numbers) sets() (sympy.sets.fancysets.ComplexRegion property) shanks() (in module sympy.series.acceleration) shape() (in module sympy.codegen.fnodes) (sympy.tensor.indexed.Indexed property) (sympy.tensor.indexed.IndexedBase property) ShapeError (class in sympy.matrices.matrices) shear_force() (sympy.physics.continuum_mechanics.beam.Beam method) Shi (class in sympy.functions.special.error_functions) shift() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) (sympy.series.fourier.FourierSeries method) shiftx() (sympy.series.fourier.FourierSeries method) shor() (in module sympy.physics.quantum.shor) Si (class in sympy.functions.special.error_functions) sides() (sympy.geometry.polygon.Polygon property) Sieve (class in sympy.ntheory.generate) sift() (in module sympy.utilities.iterables) sigma_approximation() (sympy.series.fourier.FourierSeries method) sign (class in sympy.functions.elementary.complexes) sign() (in module sympy.series.gruntz) signature() (sympy.combinatorics.permutations.Permutation method) signed_permutations() (in module sympy.utilities.iterables) SignedIntType (class in sympy.codegen.ast) simple_root() (sympy.liealgebras.type_a.TypeA method) (sympy.liealgebras.type_b.TypeB method) (sympy.liealgebras.type_c.TypeC method) (sympy.liealgebras.type_d.TypeD method) (sympy.liealgebras.type_e.TypeE method) (sympy.liealgebras.type_f.TypeF method) (sympy.liealgebras.type_g.TypeG method) simple_roots() (sympy.liealgebras.root_system.RootSystem method) simpleDE() (in module sympy.series.formal) SimpleDomain (class in sympy.polys.domains.simpledomain) simplify() (in module sympy.simplify.simplify) (sympy.core.expr.Expr method) (sympy.matrices.dense.MutableDenseMatrix method) (sympy.physics.vector.dyadic.Dyadic method) (sympy.physics.vector.vector.Vector method) simplify_gpgp() (in module sympy.physics.hep.gamma_matrices) simplify_index_permutations() (in module sympy.physics.secondquant) simplify_logic() (in module sympy.logic.boolalg) sin (class in sympy.functions.elementary.trigonometric) sinc (class in sympy.functions.elementary.trigonometric) sine_transform() (in module sympy.integrals.transforms) SingleDomain (class in sympy.stats.rv) SinglePSpace (class in sympy.stats.rv) SingletonRegistry (class in sympy.core.singleton) singular() (sympy.assumptions.ask.AssumptionKeys property) singularities() (in module sympy.calculus.singularities) SingularityFunction (class in sympy.functions.special.singularity_functions) sinh (class in sympy.functions.elementary.hyperbolic) size() (in module sympy.codegen.fnodes) (sympy.combinatorics.permutations.Permutation property) (sympy.combinatorics.polyhedron.Polyhedron property) (sympy.combinatorics.prufer.Prufer property) (sympy.combinatorics.subsets.Subset property) sizeof() (in module sympy.codegen.cnodes) SKIP() (in module sympy.utilities.pytest) skip() (sympy.combinatorics.graycode.GrayCode method) slice() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) slope() (sympy.geometry.line.LinearEntity2D property) (sympy.physics.continuum_mechanics.beam.Beam method) smallest_angle_between() (sympy.geometry.line.LinearEntity method) smoothness() (in module sympy.ntheory.factor_) smoothness_p() (in module sympy.ntheory.factor_) solve() (in module sympy.solvers.solvers) (sympy.matrices.matrices.MatrixBase method) (sympy.matrices.sparse.SparseMatrix method) solve_congruence() (in module sympy.ntheory.modular) solve_de() (in module sympy.series.formal) solve_for_reaction_loads() (sympy.physics.continuum_mechanics.beam.Beam method) solve_least_squares() (sympy.matrices.matrices.MatrixBase method) (sympy.matrices.sparse.SparseMatrix method) solve_linear() (in module sympy.solvers.solvers) solve_linear_system() (in module sympy.solvers.solvers) solve_linear_system_LU() (in module sympy.solvers.solvers) solve_multipliers() (sympy.physics.mechanics.lagrange.LagrangesMethod method) solve_poly_inequality() (in module sympy.solvers.inequalities) solve_poly_system() (in module sympy.solvers.polysys) solve_rational_inequalities() (in module sympy.solvers.inequalities) solve_triangulated() (in module sympy.solvers.polysys) solve_undetermined_coeffs() (in module sympy.solvers.solvers) solve_univariate_inequality() (in module sympy.solvers.inequalities) solveset() (in module sympy.solvers.solveset) solveset_complex() (in module sympy.solvers.solveset) solveset_real() (in module sympy.solvers.solveset) SOPform() (in module sympy.logic.boolalg) sort_dims() (sympy.physics.units.dimensions.DimensionSystem static method) sort_key() (sympy.combinatorics.partitions.Partition method) (sympy.core.basic.Basic method) sorted_components() (sympy.tensor.tensor.TensMul method) source() (in module sympy.utilities.source) (sympy.geometry.line.Ray property) SpaceOrienter (class in sympy.vector.orienters) SparseMatrix (class in sympy.matrices.sparse) speed() (sympy.physics.optics.medium.Medium property) (sympy.physics.optics.waves.TWave property) speeds() (sympy.physics.mechanics.system.SymbolicSystem property) spin() (sympy.geometry.polygon.RegularPolygon method) split() (sympy.tensor.tensor.TensMul method) split_list() (in module sympy.utilities.runtests) split_super_sub() (in module sympy.printing.conventions) split_symbols() (in module sympy.parsing.sympy_parser) split_symbols_custom() (in module sympy.parsing.sympy_parser) spoly() (in module sympy.polys.groebnertools) sqf() (in module sympy.polys.polytools) sqf_list() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) sqf_list_include() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) sqf_norm() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) sqf_normal() (in module sympy.solvers.diophantine) sqf_part() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) sqr() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) Sqrt (class in sympy.codegen.cfunctions) sqrt() (in module sympy.functions.elementary.miscellaneous) (sympy.polys.domains.domain.Domain method) sqrt_mod() (in module sympy.ntheory.residue_ntheory) sqrtdenest() (in module sympy.simplify.sqrtdenest) square() (sympy.assumptions.ask.AssumptionKeys property) (sympy.polys.rings.PolyElement method) square_factor() (in module sympy.solvers.diophantine) srepr() (in module sympy.printing.repr) sring() (in module sympy.polys.rings) sstrrepr() (in module sympy.printing.str) stabilizer() (sympy.combinatorics.perm_groups.PermutationGroup method) stack() (sympy.printing.pretty.stringpict.stringPict static method) Standard_Cartan (class in sympy.liealgebras.cartan_type) standard_transformations (in module sympy.parsing.sympy_parser) start() (sympy.series.sequences.SeqBase property) (sympy.sets.sets.Interval property) State (class in sympy.physics.quantum.state) state() (sympy.physics.secondquant.FixedBosonicBasis method) (sympy.physics.secondquant.VarBosonicBasis method) state_to_operators() (in module sympy.physics.quantum.operatorset) StateBase (class in sympy.physics.quantum.state) states() (sympy.physics.mechanics.system.SymbolicSystem property) std() (in module sympy.stats) stieltjes (class in sympy.functions.special.zeta_functions) stirling() (in module sympy.functions.combinatorial.numbers) stop() (sympy.series.sequences.SeqBase property) Stream (class in sympy.codegen.ast) StrictGreaterThan (class in sympy.core.relational) StrictLessThan (class in sympy.core.relational) strides() (sympy.tensor.indexed.IndexedBase property) String (class in sympy.codegen.ast) stringify_expr() (in module sympy.parsing.sympy_parser) stringPict (class in sympy.printing.pretty.stringpict) strip_zero() (sympy.polys.rings.PolyElement method) strong_gens() (sympy.combinatorics.perm_groups.PermutationGroup property) strong_presentation() (sympy.combinatorics.perm_groups.PermutationGroup method) StrPrinter (class in sympy.printing.str) struct (class in sympy.codegen.cnodes) StudentT() (in module sympy.stats) sturm() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) sub (in module sympy.printing.pretty.pretty_symbology) sub() (sympy.polys.domains.domain.Domain method) (sympy.polys.polyclasses.DMF method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) sub_ground() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) subdiagram_from_objects() (sympy.categories.Diagram method) subfactorial (class in sympy.functions.combinatorial.factorials) subgroup() (sympy.combinatorics.perm_groups.PermutationGroup method) subgroup_search() (sympy.combinatorics.perm_groups.PermutationGroup method) SubModule (class in sympy.polys.agca.modules) submodule() (sympy.polys.agca.modules.Module method) (sympy.polys.agca.modules.QuotientModule method) (sympy.polys.agca.modules.SubModule method) SubQuotientModule (class in sympy.polys.agca.modules) subresultants() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) Subroutine (class in sympy.codegen.fnodes) SubroutineCall (class in sympy.codegen.fnodes) Subs (class in sympy.core.function) subs() (sympy.core.basic.Basic method) (sympy.physics.vector.dyadic.Dyadic method) (sympy.physics.vector.vector.Vector method) Subset (class in sympy.combinatorics.subsets) subset() (sympy.combinatorics.subsets.Subset property) (sympy.polys.agca.ideals.Ideal method) (sympy.polys.agca.modules.Module method) subset_from_bitlist() (sympy.combinatorics.subsets.Subset class method) subset_indices() (sympy.combinatorics.subsets.Subset class method) subsets() (in module sympy.utilities.iterables) SubsSet (class in sympy.series.gruntz) substitute_dummies() (in module sympy.physics.secondquant) substitute_indices() (sympy.tensor.tensor.TensAdd method) Sum (class in sympy.concrete.summations) sum_of_four_squares() (in module sympy.solvers.diophantine) sum_of_powers() (in module sympy.solvers.diophantine) sum_of_squares() (in module sympy.solvers.diophantine) sum_of_three_squares() (in module sympy.solvers.diophantine) SumApprox (class in sympy.codegen.approximations) summation() (in module sympy.concrete.summations) sup (in module sympy.printing.pretty.pretty_symbology) sup() (sympy.sets.sets.Set property) superposition_basis() (in module sympy.physics.quantum.grover) superset() (sympy.combinatorics.subsets.Subset property) superset_size() (sympy.combinatorics.subsets.Subset property) support() (sympy.combinatorics.permutations.Permutation method) SurfaceBaseSeries (class in sympy.plotting.plot) SurfaceOver2DRangeSeries (class in sympy.plotting.plot) SWAP (in module sympy.physics.quantum.gate) swap_point() (sympy.physics.quantum.circuitplot.CircuitPlot method) SwapGate (class in sympy.physics.quantum.gate) swinnerton_dyer_poly() (in module sympy.polys.specialpolys) sylow_subgroup() (sympy.combinatorics.perm_groups.PermutationGroup method) symarray() (in module sympy.matrices.dense) symb_2txt (in module sympy.printing.pretty.pretty_symbology) Symbol (class in sympy.core.symbol) Symbol() (sympy.assumptions.handlers.calculus.AskFiniteHandler static method) symbol() (sympy.physics.secondquant.AntiSymmetricTensor property) SymbolicSystem (class in sympy.physics.mechanics.system) symbols() (in module sympy.core.symbol) symmetric() (sympy.assumptions.ask.AssumptionKeys property) (sympy.combinatorics.generators method) symmetric_difference() (sympy.sets.sets.Set method) symmetric_poly() (in module sympy.polys.specialpolys) symmetric_residue() (in module sympy.ntheory.modular) SymmetricGroup() (in module sympy.combinatorics.named_groups) symmetrize() (in module sympy.polys.polyfuncs) sympify() (in module sympy.core.sympify) sympy module sympy.assumptions module sympy.assumptions.ask module sympy.assumptions.assume module sympy.assumptions.handlers module sympy.assumptions.handlers.calculus module sympy.assumptions.handlers.ntheory module sympy.assumptions.handlers.order module sympy.assumptions.handlers.sets module sympy.assumptions.refine module sympy.calculus module sympy.calculus.euler module sympy.calculus.finite_diff module sympy.calculus.singularities module sympy.categories module sympy.categories.diagram_drawing module sympy.codegen.algorithms module sympy.codegen.approximations module sympy.codegen.ast module sympy.codegen.cfunctions module sympy.codegen.cnodes module sympy.codegen.cutils module sympy.codegen.cxxnodes module sympy.codegen.fnodes module sympy.codegen.futils module sympy.codegen.pyutils module sympy.codegen.rewriting module sympy.combinatorics.generators module sympy.combinatorics.graycode module sympy.combinatorics.group_constructs module sympy.combinatorics.named_groups module sympy.combinatorics.partitions module sympy.combinatorics.perm_groups module sympy.combinatorics.permutations module sympy.combinatorics.polyhedron module sympy.combinatorics.prufer module sympy.combinatorics.subsets module

sympy.combinatorics.tensor_can module sympy.combinatorics.testutil module sympy.combinatorics.util module sympy.core.add module sympy.core.assumptions module sympy.core.basic module sympy.core.cache module sympy.core.compatibility module sympy.core.containers module sympy.core.core module sympy.core.evalf module sympy.core.expr module sympy.core.exprtools module sympy.core.function module sympy.core.mod module sympy.core.mul module sympy.core.multidimensional module sympy.core.numbers module sympy.core.power module sympy.core.relational module sympy.core.singleton module sympy.core.symbol module sympy.core.sympify module sympy.crypto.crypto module sympy.diffgeom module sympy.functions module sympy.functions.special.bessel module sympy.functions.special.beta_functions module sympy.functions.special.elliptic_integrals module sympy.functions.special.error_functions module sympy.functions.special.gamma_functions module sympy.functions.special.mathieu_functions module sympy.functions.special.polynomials module sympy.functions.special.singularity_functions module sympy.functions.special.zeta_functions module sympy.geometry.curve module sympy.geometry.ellipse module sympy.geometry.entity module sympy.geometry.line module sympy.geometry.plane module sympy.geometry.point module sympy.geometry.polygon module sympy.geometry.util module sympy.holonomic module sympy.holonomic.holonomic module, [1], [2], [3] sympy.integrals module sympy.integrals.intpoly module sympy.integrals.meijerint_doc module sympy.integrals.transforms module sympy.liealgebras module sympy.logic module sympy.matrices module sympy.matrices.expressions module sympy.matrices.expressions.blockmatrix module sympy.matrices.immutable module sympy.matrices.matrices module sympy.matrices.sparse module sympy.ntheory.continued_fraction module sympy.ntheory.egyptian_fraction module sympy.ntheory.factor_ module sympy.ntheory.generate module sympy.ntheory.modular module sympy.ntheory.multinomial module sympy.ntheory.partitions_ module sympy.ntheory.primetest module sympy.ntheory.residue_ntheory module sympy.physics module sympy.physics.continuum_mechanics.beam module sympy.physics.hep.gamma_matrices module sympy.physics.hydrogen module sympy.physics.matrices module sympy.physics.mechanics.body module sympy.physics.mechanics.kane module sympy.physics.mechanics.lagrange module sympy.physics.mechanics.linearize module sympy.physics.mechanics.particle module sympy.physics.mechanics.rigidbody module sympy.physics.mechanics.system module sympy.physics.optics.gaussopt module sympy.physics.optics.medium module sympy.physics.optics.utils module sympy.physics.optics.waves module sympy.physics.paulialgebra module sympy.physics.qho_1d module sympy.physics.quantum.anticommutator module sympy.physics.quantum.cartesian module sympy.physics.quantum.cg module sympy.physics.quantum.circuitplot module sympy.physics.quantum.commutator module sympy.physics.quantum.constants module sympy.physics.quantum.dagger module sympy.physics.quantum.gate module sympy.physics.quantum.grover module sympy.physics.quantum.hilbert module sympy.physics.quantum.innerproduct module sympy.physics.quantum.operator module sympy.physics.quantum.operatorset module sympy.physics.quantum.piab module sympy.physics.quantum.qapply module sympy.physics.quantum.qft module sympy.physics.quantum.qubit module sympy.physics.quantum.represent module sympy.physics.quantum.shor module sympy.physics.quantum.spin module sympy.physics.quantum.state module sympy.physics.quantum.tensorproduct module sympy.physics.secondquant module sympy.physics.sho module sympy.physics.units.dimensions module sympy.physics.units.prefixes module sympy.physics.units.quantities module sympy.physics.units.unitsystem module sympy.physics.units.util module sympy.physics.vector.functions module sympy.physics.vector.point module sympy.physics.wigner module sympy.plotting.plot module sympy.plotting.pygletplot module sympy.printing.ccode module sympy.printing.codeprinter module sympy.printing.conventions module sympy.printing.cxxcode module sympy.printing.fcode module sympy.printing.gtk module sympy.printing.jscode module sympy.printing.julia module sympy.printing.lambdarepr module sympy.printing.latex module sympy.printing.mathematica module sympy.printing.mathml module sympy.printing.octave module sympy.printing.precedence module sympy.printing.pretty.pretty module sympy.printing.pretty.pretty_symbology module sympy.printing.pretty.stringpict module sympy.printing.preview module sympy.printing.printer module sympy.printing.pycode module sympy.printing.python module sympy.printing.rcode module sympy.printing.repr module sympy.printing.rust module sympy.printing.str module sympy.printing.theanocode module sympy.printing.tree module sympy.sets.fancysets module sympy.sets.sets module sympy.simplify.combsimp module sympy.simplify.cse_main module, [1] sympy.simplify.epathtools module sympy.simplify.hyperexpand module sympy.simplify.hyperexpand_doc module sympy.simplify.powsimp module sympy.simplify.radsimp module sympy.simplify.ratsimp module sympy.simplify.simplify module sympy.simplify.sqrtdenest module sympy.simplify.traversaltools module sympy.simplify.trigsimp module sympy.solvers module sympy.solvers.inequalities module sympy.solvers.ode module sympy.solvers.pde module sympy.solvers.recurr module sympy.solvers.solveset module sympy.stats module sympy.stats.crv module sympy.stats.crv_types module sympy.stats.Die() (in module sympy.stats.crv_types) sympy.stats.frv module sympy.stats.frv_types module sympy.stats.Normal() (in module sympy.stats.crv_types) sympy.stats.rv module sympy.tensor module sympy.tensor.array module sympy.tensor.index_methods module sympy.tensor.indexed module sympy.tensor.tensor module sympy.utilities module sympy.utilities.autowrap module sympy.utilities.codegen module sympy.utilities.decorator module sympy.utilities.enumerative module sympy.utilities.iterables module sympy.utilities.lambdify module sympy.utilities.memoization module sympy.utilities.misc module sympy.utilities.pkgdata module sympy.utilities.pytest module sympy.utilities.randtest module sympy.utilities.runtests module sympy.utilities.source module sympy.utilities.timeutils module SymPyDocTestFinder (class in sympy.utilities.runtests) SymPyDocTestRunner (class in sympy.utilities.runtests) SymPyOutputChecker (class in sympy.utilities.runtests) sympytestfile() (in module sympy.utilities.runtests) SymPyTestResults (in module sympy.utilities.runtests) syzygy_module() (sympy.polys.agca.modules.SubModule method)

T

T (in module sympy.physics.quantum.gate) T() (sympy.matrices.expressions.MatrixExpr property) t() (sympy.physics.quantum.shor.CMod property) table() (sympy.matrices.matrices.MatrixBase method) tail_degree() (sympy.polys.rings.PolyElement method) tail_degrees() (sympy.polys.rings.PolyElement method) take() (in module sympy.utilities.iterables) tan (class in sympy.functions.elementary.trigonometric) tangent_lines() (sympy.geometry.ellipse.Ellipse method) tanh (class in sympy.functions.elementary.hyperbolic) targets() (sympy.physics.quantum.gate.CGate property) (sympy.physics.quantum.gate.CNotGate property) (sympy.physics.quantum.gate.Gate property) (sympy.physics.quantum.gate.UGate property) (sympy.physics.quantum.grover.OracleGate property) taxicab_distance() (sympy.geometry.point.Point method) taylor_term() (sympy.core.expr.Expr method) TC() (sympy.polys.polyclasses.ANP method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) TensAdd (class in sympy.tensor.tensor) TensExpr (class in sympy.tensor.tensor) TensMul (class in sympy.tensor.tensor) tensor_indices() (in module sympy.tensor.tensor) tensor_mul() (in module sympy.tensor.tensor) tensor_product_simp() (in module sympy.physics.quantum.tensorproduct) tensorcontraction() (in module sympy.tensor.array) TensorHead (class in sympy.tensor.tensor) TensorIndex (class in sympy.tensor.tensor) TensorIndexType (class in sympy.tensor.tensor) TensorProduct (class in sympy.diffgeom) (class in sympy.physics.quantum.tensorproduct) tensorproduct() (in module sympy.tensor.array) TensorSymmetry (class in sympy.tensor.tensor) tensorsymmetry() (in module sympy.tensor.tensor) TensorType (class in sympy.tensor.tensor) terminal_width() (sympy.printing.pretty.stringpict.stringPict method) terms() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) (sympy.polys.rings.PolyElement method) terms_gcd() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) termwise() (sympy.polys.polytools.Poly method) test() (in module sympy.utilities.runtests) test_derivative_numerically() (in module sympy.utilities.randtest) TGate (class in sympy.physics.quantum.gate) theano_function() (in module sympy.printing.theanocode) TheanoPrinter (class in sympy.printing.theanocode) ThinLens (class in sympy.physics.optics.gaussopt) threaded() (in module sympy.utilities.decorator) threaded_factory() (in module sympy.utilities.decorator) time() (sympy.physics.quantum.state.TimeDepState property) time_derivative() (in module sympy.physics.vector.functions) time_period() (sympy.physics.optics.waves.TWave property) timed() (in module sympy.utilities.timeutils) TimeDepBra (class in sympy.physics.quantum.state) TimeDepKet (class in sympy.physics.quantum.state) TimeDepState (class in sympy.physics.quantum.state) tiny() (sympy.codegen.ast.FloatType property) to_algebraic_integer() (sympy.polys.numberfields.AlgebraicNumber method) to_cnf() (in module sympy.logic.boolalg) to_dict() (sympy.polys.polyclasses.ANP method) (sympy.polys.polyclasses.DMP method) to_dnf() (in module sympy.logic.boolalg) to_exact() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) to_expr() (sympy.holonomic.holonomic.HolonomicFunction method) to_field() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) to_hyper() (sympy.holonomic.holonomic.HolonomicFunction method) to_linearizer() (sympy.physics.mechanics.kane.KanesMethod method) (sympy.physics.mechanics.lagrange.LagrangesMethod method) to_list() (sympy.polys.polyclasses.ANP method) (sympy.polys.polyclasses.DMP method) to_matrix() (sympy.physics.vector.dyadic.Dyadic method) (sympy.physics.vector.vector.Vector method) (sympy.vector.dyadic.Dyadic method) (sympy.vector.vector.Vector method)

to_meijerg() (sympy.holonomic.holonomic.HolonomicFunction method) to_number_field() (in module sympy.polys.numberfields) to_prufer() (sympy.combinatorics.prufer.Prufer static method) to_rational() (sympy.polys.domains.RealField method) to_ring() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) to_sequence() (sympy.holonomic.holonomic.HolonomicFunction method) to_sympy() (sympy.polys.domains.AlgebraicField method) (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.ExpressionDomain method) (sympy.polys.domains.FiniteField method) (sympy.polys.domains.FractionField method) (sympy.polys.domains.PolynomialRing method) (sympy.polys.domains.RealField method) to_sympy_dict() (sympy.polys.polyclasses.ANP method) (sympy.polys.polyclasses.DMP method) to_sympy_list() (sympy.polys.polyclasses.ANP method) (sympy.polys.polyclasses.DMP method) to_tree() (sympy.combinatorics.prufer.Prufer static method) to_tuple() (sympy.polys.polyclasses.ANP method) (sympy.polys.polyclasses.DMP method) together() (in module sympy.polys.rationaltools) (sympy.core.expr.Expr method) Token (class in sympy.codegen.ast) topological_sort() (in module sympy.utilities.iterables) (sympy.codegen.ast.CodeBlock class method) total_degree() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) totient (class in sympy.ntheory.factor_) totientrange() (sympy.ntheory.generate.Sieve method) Trace (class in sympy.matrices.expressions) trailing() (in module sympy.ntheory.factor_) transcendental transcendental() (sympy.assumptions.ask.AssumptionKeys property) transform() (sympy.geometry.point.Point2D method) (sympy.geometry.point.Point3D method) (sympy.integrals.Integral method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) transformation_to_DN() (in module sympy.solvers.diophantine) transitivity_degree() (sympy.combinatorics.perm_groups.PermutationGroup property) translate() (in module sympy.utilities.misc) (sympy.geometry.curve.Curve method) (sympy.geometry.entity.GeometryEntity method) (sympy.geometry.point.Point2D method) (sympy.geometry.point.Point3D method) Transpose (class in sympy.matrices.expressions) transpose() (sympy.matrices.expressions.blockmatrix.BlockMatrix method) transpositions() (sympy.combinatorics.permutations.Permutation method) transverse_magnification() (in module sympy.physics.optics.utils) tree() (in module sympy.printing.tree) tree_cse() (in module sympy.simplify.cse_main) tree_repr() (sympy.combinatorics.prufer.Prufer property) Triangle (class in sympy.geometry.polygon) Triangular() (in module sympy.stats) triangular() (sympy.assumptions.ask.AssumptionKeys property) trigamma() (in module sympy.functions.special.gamma_functions) trigsimp() (in module sympy.simplify.trigsimp) (sympy.core.expr.Expr method) trunc() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) truncate() (sympy.series.formal.FormalPowerSeries method) (sympy.series.fourier.FourierSeries method) Tuple (class in sympy.core.containers) tuple_count() (sympy.core.containers.Tuple method) TWave (class in sympy.physics.optics.waves) two_qubit_box() (sympy.physics.quantum.circuitplot.CircuitPlot method) twoform_to_matrix() (in module sympy.diffgeom) TwoQubitGate (class in sympy.physics.quantum.gate) Type (class in sympy.codegen.ast) TypeA (class in sympy.liealgebras.type_a) TypeB (class in sympy.liealgebras.type_b) TypeC (class in sympy.liealgebras.type_c) TypeD (class in sympy.liealgebras.type_d) TypeE (class in sympy.liealgebras.type_e) TypeF (class in sympy.liealgebras.type_f) TypeG (class in sympy.liealgebras.type_g)

U

U() (in module sympy.printing.pretty.pretty_symbology) udivisor_count() (in module sympy.ntheory.factor_) udivisor_sigma (class in sympy.ntheory.factor_) udivisors() (in module sympy.ntheory.factor_) ufuncify() (in module sympy.utilities.autowrap) UfuncifyCodeWrapper (class in sympy.utilities.autowrap) UGate (class in sympy.physics.quantum.gate) uncouple() (in module sympy.physics.quantum.spin) Unequality (class in sympy.core.relational) UnevaluatedExpr (class in sympy.core.expr) unflatten() (in module sympy.utilities.iterables) UnificationFailed (class in sympy.polys.polyerrors) Uniform() (in module sympy.stats) UniformSum() (in module sympy.stats) unify() (sympy.polys.domains.domain.Domain method) (sympy.polys.polyclasses.ANP method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) union (class in sympy.codegen.cnodes) Union (class in sympy.sets.sets) union() (sympy.polys.agca.ideals.Ideal method) (sympy.polys.agca.modules.SubModule method) (sympy.series.gruntz.SubsSet method) (sympy.sets.sets.Set method) uniq() (in module sympy.utilities.iterables)

unit() (sympy.geometry.point.Point property) (sympy.polys.polytools.Poly property) unit_triangular() (sympy.assumptions.ask.AssumptionKeys property) unitary() (sympy.assumptions.ask.AssumptionKeys property) UnitaryOperator (class in sympy.physics.quantum.operator) UnitSystem (class in sympy.physics.units.unitsystem) UnivariatePolynomialError (class in sympy.polys.polyerrors) UniversalSet (class in sympy.sets.sets) unrank() (sympy.combinatorics.graycode.GrayCode class method) (sympy.combinatorics.prufer.Prufer class method) unrank_binary() (sympy.combinatorics.subsets.Subset class method) unrank_gray() (sympy.combinatorics.subsets.Subset class method) unrank_lex() (sympy.combinatorics.permutations.Permutation class method) unrank_nonlex() (sympy.combinatorics.permutations.Permutation class method) unrank_trotterjohnson() (sympy.combinatorics.permutations.Permutation class method) UnsignedIntType (class in sympy.codegen.ast) update() (sympy.physics.quantum.circuitplot.CircuitPlot method) upper() (sympy.physics.secondquant.AntiSymmetricTensor property) (sympy.tensor.indexed.Idx property) upper_triangular() (sympy.assumptions.ask.AssumptionKeys property) upper_triangular_solve() (sympy.matrices.matrices.MatrixBase method) uppergamma (class in sympy.functions.special.gamma_functions) use (class in sympy.codegen.fnodes) use() (in module sympy.simplify.traversaltools) use_rename (class in sympy.codegen.fnodes) using (class in sympy.codegen.cxxnodes)

V

v1pt_theory() (sympy.physics.vector.point.Point method) v2pt_theory() (sympy.physics.vector.point.Point method) values() (sympy.core.containers.Dict method) var() (in module sympy.core.symbol) VarBosonicBasis (class in sympy.physics.secondquant) Variable (class in sympy.codegen.ast) variable() (sympy.physics.continuum_mechanics.beam.Beam property) variable_map() (sympy.physics.vector.frame.ReferenceFrame method) variables() (sympy.core.function.Lambda property) (sympy.core.function.Subs property) (sympy.physics.quantum.operator.DifferentialOperator property) (sympy.physics.quantum.state.Wavefunction property) (sympy.series.sequences.SeqBase property) (sympy.utilities.codegen.Routine property) Variance (class in sympy.stats) variance() (in module sympy.stats) variations() (in module sympy.utilities.iterables) vech() (sympy.matrices.matrices.MatrixBase method) Vector (class in sympy.physics.vector.vector) (class in sympy.vector.vector)

vectorize (class in sympy.core.multidimensional) vectors_in_basis() (in module sympy.diffgeom) vel() (sympy.physics.vector.point.Point method) verify_numerically() (in module sympy.utilities.randtest) vertices() (sympy.combinatorics.polyhedron.Polyhedron property) (sympy.geometry.polygon.Polygon property) (sympy.geometry.polygon.RegularPolygon property) (sympy.geometry.polygon.Triangle property) VF() (in module sympy.printing.pretty.pretty_symbology) viete() (in module sympy.polys.polyfuncs) vlatex() (in module sympy.physics.vector.printing) vobj() (in module sympy.printing.pretty.pretty_symbology) VonMises() (in module sympy.stats) vpprint() (in module sympy.physics.vector.printing) vprint() (in module sympy.physics.vector.printing) vradius() (sympy.geometry.ellipse.Circle property) (sympy.geometry.ellipse.Ellipse property) vring() (in module sympy.polys.rings)

W

w() (sympy.physics.optics.gaussopt.BeamParameter property) w_0() (sympy.physics.optics.gaussopt.BeamParameter property) waist2rayleigh() (in module sympy.physics.optics.gaussopt) waist_approximation_limit() (sympy.physics.optics.gaussopt.BeamParameter property) Wavefunction (class in sympy.physics.quantum.state) wavelength() (sympy.physics.optics.waves.TWave property) wavenumber() (sympy.physics.optics.waves.TWave property) WedgeProduct (class in sympy.diffgeom) Weibull() (in module sympy.stats) WeylGroup (class in sympy.liealgebras.weyl_group) WGate (class in sympy.physics.quantum.grover) where() (in module sympy.stats) While (class in sympy.codegen.ast) wicks() (in module sympy.physics.secondquant)

width() (sympy.categories.diagram_drawing.DiagramGrid property) (sympy.printing.pretty.stringpict.stringPict method) Wigner3j (class in sympy.physics.quantum.cg) Wigner6j (class in sympy.physics.quantum.cg) Wigner9j (class in sympy.physics.quantum.cg) wigner_3j() (in module sympy.physics.wigner) wigner_6j() (in module sympy.physics.wigner) wigner_9j() (in module sympy.physics.wigner) WignerD (class in sympy.physics.quantum.spin) WignerSemicircle() (in module sympy.stats) Wild (class in sympy.core.symbol) WildFunction (class in sympy.core.function) write() (sympy.utilities.codegen.CodeGen method) (sympy.utilities.runtests.PyTestReporter method) wronskian() (in module sympy.matrices.dense)

X

X (in module sympy.physics.quantum.gate) x() (sympy.geometry.point.Point2D property) (sympy.geometry.point.Point3D property) (sympy.physics.vector.frame.ReferenceFrame property) XBra (class in sympy.physics.quantum.cartesian) xdirection() (sympy.geometry.line.Ray2D property) (sympy.geometry.line.Ray3D property) XGate (class in sympy.physics.quantum.gate) XKet (class in sympy.physics.quantum.cartesian)

xobj() (in module sympy.printing.pretty.pretty_symbology) XOp (class in sympy.physics.quantum.cartesian) Xor (class in sympy.logic.boolalg) xreplace() (sympy.core.basic.Basic method) xring() (in module sympy.polys.rings) xstr() (in module sympy.printing.pretty.pretty_symbology) xsym() (in module sympy.printing.pretty.pretty_symbology) xthreaded() (in module sympy.utilities.decorator) xypic_draw_diagram() (in module sympy.categories.diagram_drawing) XypicDiagramDrawer (class in sympy.categories.diagram_drawing)

Y

Y (in module sympy.physics.quantum.gate) y() (sympy.geometry.point.Point2D property) (sympy.geometry.point.Point3D property) (sympy.physics.vector.frame.ReferenceFrame property) ydirection() (sympy.geometry.line.Ray2D property) (sympy.geometry.line.Ray3D property)

YGate (class in sympy.physics.quantum.gate) yn (class in sympy.functions.special.bessel) Ynm (class in sympy.functions.special.spherical_harmonics) Ynm_c() (in module sympy.functions.special.spherical_harmonics) YOp (class in sympy.physics.quantum.cartesian)

Z

Z (in module sympy.physics.quantum.gate) z() (sympy.geometry.point.Point3D property) (sympy.physics.vector.frame.ReferenceFrame property) zdirection() (sympy.geometry.line.Ray3D property) zero Zero (class in sympy.core.numbers) zero() (sympy.assumptions.ask.AssumptionKeys property) (sympy.polys.polytools.Poly property)

ZeroMatrix (class in sympy.matrices.expressions) zeros() (in module sympy.matrices.dense) zeta (class in sympy.functions.special.zeta_functions) ZGate (class in sympy.physics.quantum.gate) zip_row_op() (sympy.matrices.dense.MutableDenseMatrix method) (sympy.matrices.sparse.MutableSparseMatrix method) Znm (class in sympy.functions.special.spherical_harmonics) ZOp (class in sympy.physics.quantum.cartesian)