Basics

Contents

• Assumptions
  • Predicate
  • Querying
  • Contents
  • Performance improvements
  • Misc
• Calculus
  • euler_equations()
  • Singularities
  • is_decreasing()
  • is_increasing()
  • is_monotonic()
  • is_strictly_decreasing()
  • is_strictly_increasing()
  • monotonicity_helper()
  • singularities()
  • Finite difference weights
  • apply_finite_diff()
  • differentiate_finite()
  • finite_diff_weights()
  • continuous_domain()
  • function_range()
  • is_convex()
  • lcim()
  • maximum()
  • minimum()
  • not_empty_in()
  • periodicity()
  • stationary_points()
• Combinatorics
  • Contents
• Functions
  • Contents
• Integrals
  • Contents
• Series
  • Contents
• Simplify
  • Simplify
  • Hypergeometric Expansion
  • Hongguang Fu’s Trigonometric Simplification
• Solvers
  • Contents
• abc
  • Caveats
  • Examples
• Algebras
  • Introduction
  • Quaternion Reference
• Concrete
  • Hypergeometric terms
  • Concrete Class Reference
  • Concrete Functions Reference
• Core
  • sympify
  • assumptions
  • cache
  • basic
  • core
  • singleton
  • expr
  • symbol
  • numbers
  • power
  • mul
  • add
  • mod
  • relational
  • multidimensional
  • function
  • evalf
  • containers
  • exprtools
  • kind
  • Sorting
  • Random
  • Traversal
• Discrete
  • Transforms
  • Convolutions
• Numerical Evaluation
  • Basics
  • Floating-point numbers
  • Accuracy and error handling
  • Sums and integrals
  • Numerical simplification
• Numeric Computation
  • Subs/evalf
  • Lambdify
  • uFuncify
  • Aesara
  • So Which Should I Use?
• Term Rewriting
  • Expanding
  • Common Subexpression Detection and Collection