endowing free modules and vector spaces with additional algebraic structure defining morphisms defining coercions and conversions implementing algebraic structures with several realizations At the end ...

Algebraic functions and projective curves are fundamental concepts in algebraic geometry, linking algebra and geometry. They provide powerful tools for understanding and solving complex mathematical ...

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 ...

American Journal of Mathematics, Vol. 101, No. 4 (Aug., 1979), pp. 743-759 (17 pages) The elementary functions of a complex variable z are those functions built up from the rational functions of z by ...

Practise determining composite and inverse functions ahead of your Higher Maths exam. Revise determining composite and inverse functions for Higher Maths. Higher Maths - Determining composite and ...

Almost perfect nonlinear (APN) functions play a pivotal role in cryptography, particularly in securing symmetric key algorithms against differential attacks. Their algebraic properties, including ...

Transactions of the American Mathematical Society, Vol. 359, No. 8 (Aug., 2007), pp. 3859-3885 (27 pages) It is shown that Ramanujan's cubic transformation of the Gauss hypergeometric function ₂F₁ ...

In this second part, we thoroughly examine the types of higher-order asymptotic variation of a function obtained by all possible basic algebraic operations on higher-order varying functions. The ...

Boolean functions form the backbone of modern cryptographic systems, serving as essential components in the design of stream ciphers, block ciphers, and other security protocols. Their inherent ...

ABSTRACT: Finite fields form an important chapter in abstract algebra, and mathematics in general, yet the traditional expositions, part of Abstract Algebra courses, focus on the axiomatic ...