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

Apr 16, 2021 · This method of analysis was first introduced by Macaulay in 1919, and it entails the use of one equation that contains a singularity or half-range function to describe the entire …

The loading of beams can be determined from a superposition of singular-ity functions for the load distribution function q(x). The unit doublet is the distribution function representation for the …

Singularity functions (also called singular functions) are any functions that contain singularities. The singularities can be poles, removable singularities, or essential singularities. Singularity …

When calculating the shear Force and the bending moment diagrams for more complex loading across discontinuities such as concentrated loads and moments. Simple methods are not …

May 6, 2025 · In Complex Analysis, zeroes are points where the function vanishes while singularities are points where the function loses its analytic property (differentiability). Here we …

1 Actually the most famous singular-ity function, the delta function, isn’t the most singular one, at least not in the mathematical sense of the word ‘singu-lar’.

In general, because a function behaves in an anomalous manner at singular points, singularities must be treated separately when analyzing the function, or mathematical model, in which they …

Sep 12, 2023 · The following simplifications are broken up into four categories depending on which singularity function is used and whether it is the sole integrand or part of a more …

22 hours ago · When referring to functions with a singularity When discussing mathematical analysis in general, or more specifically real analysis or complex analysis or differential …