| inverse function theorem [`in´vǝrs `fǝnk·shǝn ´thir·ǝm] MATHEMATICS If f is a continuously differentiable function of euclidean n-space to itself and at a point x0 the matrix with the entry ∂fi /∂xj(x0) in the ith row and jth column is nonsingular, then there is a continuously differentiable function g(y ) defined in a neighborhood of f (x0) which is an inverse function for f (x ) at all points near x0. |