Abstract: This paper studies the operator-valued irrational complex symmetric negative imaginary (CSNI) systems. The complex symmetric negative imaginary function is defined using the complex ...

Soient K=ℚ−d un corps quadratique imaginaire de nombre de classes égal à 1 et O𝕂 son anneau des entiers. On étudie une famille de fonctions L de Hecke associées à des caractères angulaires sur les ...

First Kudos to D.E. Amos, and Dumont and McNogginson for making the original Fortran code and supplying a wrapper for c+. Since c / c++ is the only code I know at a moderately advanced level, your ...

ABSTRACT: In this paper new method is introduced for complex numbers; this method does not include imaginary number “i” but produces the same results that occur in Addition, Subtraction, ...

The Nature Index 2024 Research Leaders — previously known as Annual Tables — reveal the leading institutions and countries/territories in the natural and health sciences, according to their output in ...

The imaginary number takes mathematics to another dimension. If the square root of +1 is both +1 and -1, then what is the square root of -1? The imaginary number takes mathematics to another dimension ...

Melvyn Bragg and his guests discuss imaginary numbers - important mathematical phenomena which provide us with useful tools for understanding the world. Show more Melvyn Bragg and his guests discuss ...

In this paper we compute the relative class number of all imaginary Abelian fields of prime conductor below 10000. Our approach is based on a novel multiple evaluation technique, and, assuming the ERH ...