What does a singular function mean?

This article will explain in detail what the singular function means. The editor thinks it is very practical, so I share it for you as a reference. I hope you can get something after reading this article.

A singular function is an idealized function with one or more discontinuous points at which it is impossible to determine the function or its derivative value.

A class of functions with discontinuous points (jump points) or their derivatives or integrals with discontinuous points become singular functions.

From a mathematical point of view, the so-called singularity means that the function is discontinuous or the derivative does not exist, and the point that shows the singularity is called the singularity point. In structural optimization problems, there are always many singularities in the feasible region of constraint functions.

A singular matrix is a matrix whose row and column loss is equal to zero.

H matrix is a Hermit matrix, each of its elements is conjugated and equals its rank.

A nonsingular matrix is a matrix whose determinant value is not zero.

That is, (A) Handai H stands for complex rank.

In addition, H matrix is a normal matrix whose eigenvalues are all real numbers.

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