Abstract: In this paper the fuzzy measure and fuzzy measurable functions are further extended to broader complex fuzzy sets, the concepts of complex set-valued simple function and generalized complex ...

leads to RuntimeError: Complex integrals not supported. The problem has been discussed here, but I have not been able to trace its solution. It's particularly unclear how the RCCSD is supposed to work ...

In large-scale quantum-chemical calculations, the electron-repulsion integral (ERI) tensor rapidly becomes the bottleneck in terms of memory and disk space. When an external finite magnetic field is ...

complex argument integrals of trigonometric and hyperbolic functions (Trac #903) #1430 New issue Closed ...

Feynman integrals are mathematical tools used to describe the behavior of particles in quantum field theory. These integrals are named after physicist Richard Feynman, who first introduced them in the ...

Abstract: SUMMARY We consider integrals of products of Bessel functions and of spherical Bessel functions, combined with a Gaussian factor guaranteeing convergence at infinity. These integrals arise ...

The interpretation and use of complex numbers, analytic function, conformality, harmonic function, basic complex functions, line integrals, sequences and series, Cauchy formula and its consequences.

We prove that the 2-hermitean matrix model and the complex-matrix model obey the same loop equations, and as a byproduct, we find a formula for Itzykzon-Zuber's type integrals over the unitary group.

Complex numbers are an extension of the more conventional real numbers that we use in everyday life. They provide a rich structure that helps with finding solutions of equations. Complex numbers are ...