We explore a well-known integral representation of the logarithmic function, and demonstrate its usefulness in obtaining compact, easily computable exact formulas for quantities that involve ...

Abstract: The inversion of the logarithmic integral operator defined on several curves is considered. Formulas for the inverse operator and its action on trigonometric functions are obtained. The ...

Any function and its inverse are symmetrical about the line\(y = x\).

In the paper, by induction and recursively, the author proves that the generating function of multivariate logarithmic polynomials and its reciprocal are a Bernstein function and a completely ...

The arbitrary noise feature currently uses the standard msdsl Function object to implement the inverse CDF that is applied to uniform noise. This works fine for basic usage, but does have a limitation ...

Abstract: A collective approach of Logarithmic Inverse Distance Measure (LDIM) and factor division algorithm is suggested to approximate a higher order model. The proposed model approximation ...