Mathematical logic and foundations Concept
Function composition
Summary
The composition of two functions applies the first function and then the second.
Where this leads
67 pages build on this one.
- Change of variables in multiple integrals
- Volume of a ball in R^n
- Chain rule for Jacobian matrices
- Mean value theorem in several variables
- Lagrange multiplier with one constraint
- Poincaré lemma for one-forms on convex sets
- Jacobian of spherical coordinates
- Chain rule for a composition with a curve
- Stokes' theorem
- Differentiation under the integral sign
- Curl-free vector field on a convex set is conservative
- Path independence of line integrals
- Implicit function theorem
- Chain rule in several variables
- Cylindrical coordinates
- Derivative of the inverse function
- Curl-free field that is not conservative
- Generalised Stokes theorem
- Inverse function theorem
- Implicit function theorem for a surjective derivative
- Implicit differentiation
- Polar coordinates
- Spherical coordinates
- Gradient theorem
- Integration in polar coordinates
- Lagrange multipliers
- Gradient is orthogonal to level sets
- Volume of a ball in R^3
- Homotopy invariance of line integrals of closed forms
- Diffeomorphism
- Local homeomorphism from the inverse function theorem
- Morse–Smale system
- Holomorphic inverse function theorem
- Markov partition
- Smoothing by convolution
- Involution as solution of Babbage's equation
- Semiconjugacy and factor map
- Spectral decomposition theorem
- Box–Muller transform
- Derivative of a convolution
- Nash–Moser theorem
- Implicit function theorem in Banach spaces
- Lyapunov–Schmidt reduction
- Numerical continuation
- Topological conjugacy
- Endomorphism monoid
- Transformation semigroup
- Closing lemma
- Anosov flow
- Differential-algebraic system of equations
- Smale's problems on dynamics
- Clone
- Topological quantum field theory
- Smooth dynamical system
- Regular value theorem
- Area-minimizing current
- Inverse function theorem in Banach spaces
- Iterated function
- Hyperbolic set
- Idempotence
- Axiom A
- Slice theorem
- Hilbert's thirteenth problem
- Anosov diffeomorphism
- Adjoint state method
- Stability conjecture
- Involution
Further reading
- Web https://en.wikipedia.org/wiki/Function_composition, lead section
About this page
| Tag | 0THBK9V825 |
|---|---|
| URI | m2://0THBK9V825 |
| Aliases | composite-function, composition-of-functions |
| Kind | concept |
| Writing | W1 stated |
| MSC | 03E20 |
| Same as |
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What this page needs for W2
- edge instance_of in: at least two examples (0 of 2)
- edge not_instance_of in: at least one non-example (0 of 1)
- edge specializes both: the more general notions and the special cases (0 of 1)
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What links here
Definitions
Used by
- Chain rule in several variables
- Semiconjugacy and factor map
- Topological conjugacy
- Endomorphism monoid
- Transformation semigroup
- Clone
- Iterated function
- Idempotence
- Hilbert's thirteenth problem
- Involution