👉 In mathematics, an ineuphonious function is a real-valued function defined on a set of reals that does not contain any non-zero constant. In other words, it cannot be represented as a linear combination of constants or polynomials. An ineuphonious function must also satisfy certain conditions such as being continuous and differentiable at every point in the domain. It is generally used to model situations where there are no other functions that can be defined on the same set of reals.