In mathematics, a real-valued function f on the interval [a, b] is said to be singular if it has the following properties: f is continuous on [a, b]. (**)...

Singularity functions are a class of discontinuous functions that contain singularities, i.e., they are discontinuous at their singular points. Singularity...

ternary function, the Lebesgue function, Lebesgue's singular function, the Cantor–Vitali function, the Devil's staircase, the Cantor staircase function, and...

reciprocal function f ( x ) = 1 / x {\displaystyle f(x)=1/x} has a singularity at x = 0 {\displaystyle x=0} , where the value of the function is not defined...

In linear algebra, the singular value decomposition (SVD) is a factorization of a real or complex matrix into a rotation, followed by a rescaling followed...

problem fails to have a unique solution need not be singular functions. In some cases, the term singular solution is used to mean a solution at which there...

max is not continuous at the singular set where two coordinates are equal, while the uniform limit of continuous functions is continuous. The reason it...

regular singularities. The cases where the solutions are algebraic functions were found by Hermann Schwarz (Schwarz's list). The hypergeometric function is...

differentiable function has at least a tangent line at every point, which is its Taylor series of order 1. So just having a polynomial expansion at singular points...

distribution has singular support { 0 } {\displaystyle \{0\}} : it cannot accurately be expressed as a function in relation to test functions with support...