Project:cas

Implementation of biquaternions in the Asymptote language. Supplements

migran-nelsonovich-gevorkyan

The dual quaternion algebra and its implementation in Asymptote language

The algebras of dual quaternions and screws are often opposed to geometric algebra. The purpose of this paper is to describe the algebra of dual quaternions and the algebra of …

migran-nelsonovich-gevorkyan

Asymptote-based scientific animation

This article discusses a universal way to create animation using Asymptote the language for vector graphics. The Asymptote language itself has a built-in library for creating …

migran-nelsonovich-gevorkyan

Computer Algebra in JULIA

Recently, the place of the main programming language for scientific and engineering computations has been little by little taken by Julia. Some users want to work completely within …

dmitry-sergeevich-kulyabov

Using a Template Engine as a Computer Algebra Tool

In research problems that involve the use of numerical methods for solving systems of ordinary differential equations (ODEs), it is often required to select the most efficient …

migran-nelsonovich-gevorkyan

A Practical Approach to Testing Random Number Generators in Computer Algebra Systems

This paper has a practical aim. For a long time, implementations of pseudorandom number generators in standard libraries of programming languages had poor quality. The situation …

migran-nelsonovich-gevorkyan

A Modular Extension for a Computer Algebra System

Computer algebra systems are complex software systems that cover a wide range of scientific and practical problems. However, the absolute coverage cannot be achieved. Often, it is …

migran-nelsonovich-gevorkyan

New Features in the Second Version of the Cadabra Computer Algebra System

In certain scientific domains, there is a need for tensor operations. To facilitate tensor computations, computer algebra systems are employed. In our research, we have been using …

dmitry-sergeevich-kulyabov

Symbolic Computation and p-adic Arithmetic

Along with the use of geometric constructions in the physics is possible to use of arithmetic ideas (aka arithmetic physics). Extremely promising is the use of rather rational …

dmitry-sergeevich-kulyabov