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 ...

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 ...

Implements linear algebra operations built from the ground up, and includes a detailed explanation of the mathematical foundations. Includes numerical methods, decompositions, spectral calculus, et ...

Quantum linear algebra leverages quantum computers to perform certain matrix operations exponentially faster than classical computers. While still in its early stages, quantum algorithms for linear ...

This article describes a research project that examined the effects of the Computer-Intensive Algebra (CIA) and traditional algebra curricula on students' understanding of the function concept. The ...

Advanced algebra : tools for a changing world. Chapter 7 support file : exponential and logarithmic functions ...

In this paper, we will obtain new algebraic transformations of the 2 F 1 -hypergeometric functions. The main novelty in our approach is the interpretation of identities among 2 F 1 -hypergeometric ...

However, they are not 1-resilient which represents a drawback for their use as filter functions in stream ciphers. In this paper, we first propose a large family of 1-resilient Boolean functions ...