👉 Gomphoses are a type of mathematical function that is not defined for all real numbers. They are particularly important in the study of differential equations, since they can be used to describe solutions to certain types of initial-value problems. In particular, they appear in the context of the Cauchy-Kowalevsky theorem, which states that if a function f(x) satisfies certain conditions on its derivative, then it is continuous and differentiable at every point x, and if f(0
