Algebraic structures are fundamental mathematical entities defined by sets equipped with operations that satisfy specific axioms, such as groups, rings, and fields. Function spaces, by contrast, are ...

Abstract: In biological organisms, networks of chemical reactions control the processing of information in a cell. A general approach to study the behavior of these networks is to analyze common ...

Abstract: Algebraic function fields (or equivalently, algebraic curves) provide a useful tool for coding theory (for instance, algebraic-geometric codes and trace codes), but also for other branches ...

Many systems for image manipulation, signal analysis, machine learning, and scientific computing make use of discrete convolutional filters that are known before computation begins. These contexts ...

clmath can evaluate simple math expressions either as program arguments, or inside the math shell. clmath supports a strong toolset to store, display and evaluate algebraic functions. A function can ...

xiv, 402 pages : 27 cmxiv, 402 pages : 27 cm Includes index Review of basic skills -- The basic ideas of algebra -- Functions, expressions, and equations -- Linear functions and equations -- POwers -- ...

A polynomial is an algebraic expression involving many terms and can be factorised using long division or synthetic division. Laws of logarithms and exponents Revise what logarithms are and how to use ...

Important note: the package is being updated: a new subpackge, DalgSeq, is under construction. It will contains all commands for difference-algebraic sequences, including thre recent ...

We consider a model of a one-dimensional Bose gas with attraction. We study ground state equal-time correlation functions in this model using the algebraic Bethe ansatz. In cases of strong interaction ...