Category
page 1Inverse functions
inverse function
function that "reverses" another function: if the function f applied to an input x gives a result of y, then applying its inverse function g to y gives the result x, and vice versa. i.e., f(x) = y if and only if g(y) = x
equation solving
finding values for variables that make an equation true
inverse function theorem
theorem that, if a function is continuously differentiable with nonzero Jacobian determinant at a given point, then it is locally invertible near that point
arg max and min
points of the domain of some function at which the function values are maximized or minimized
self number
a natural number that cannot be written as the sum of any other natural number n and the individual digits of n
inverse functions and differentiation
calculus identity
branch point
point of interest for complex multi-valued functions
logarithm of a matrix
mathematical operation on invertible matrices

Lagrange inversion theorem
theorem
Fatou–Bieberbach domain
local diffeomorphism
Nash–Moser theorem
Generalization of the inverse function theorem