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In this paper we briefly discuss \Rings --- an efficient lightweight library for commutative algebra. Polynomial arithmetic, GCDs, polynomial factorization and Gr\"obner bases are implemented with the use of modern asymptotically fast…

Symbolic Computation · Computer Science 2018-09-25 Stanislav Poslavsky

We have developed two computer algebra systems, meditor [Jolly:2007] and JAS [Kredel:2006]. These CAS systems are available as Java libraries. For the use-case of interactively entering and manipulating mathematical expressions, there is a…

Symbolic Computation · Computer Science 2008-11-27 Raphael Jolly , Heinz Kredel

As dynamic and control systems become more complex, relying purely on numerical computations for systems analysis and design might become extremely expensive or totally infeasible. Computer algebra can act as an enabler for analysis and…

Systems and Control · Computer Science 2018-01-01 Masoud Abbaszadeh

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 the Julia framework as they work within the Python…

Symbolic Computation · Computer Science 2021-08-30 Dmitry S. Kulyabov , Anna V. Korolkova

The rapid and widespread adoption of Java has created a demand for reliable and reusable mathematical software components to support the growing number of compute-intensive applications now under development, particularly in science and…

Mathematical Software · Computer Science 2007-05-23 Ronald F. Boisvert , Jack J. Dongarra , Roldan Pozo , Karin Remington , G. W. Stewart

Symmetry plays a central role in accelerating symbolic computation involving polynomials. This chapter surveys recent developments and foundational methods that leverage the inherent symmetries of polynomial systems to reduce complexity,…

Algebraic Geometry · Mathematics 2025-08-01 Cordian Riener , Thi Xuan Vu

The traditional split-up into a low level language and a high level language in the design of computer algebra systems may become obsolete with the advent of more versatile computer languages. We describe GiNaC, a special-purpose system…

Symbolic Computation · Computer Science 2007-05-23 Christian Bauer , Alexander Frink , Richard Kreckel

Symbolic integration is an important module of a typical Computer Algebra System. As for now, Mathematica, Matlab, Maple and Sage are all mainstream CAS. They share the same framework for symbolic integration at some points. In this book…

Symbolic Computation · Computer Science 2013-09-27 Weiguang Mao

Symbolic holes are one of the fundamental building blocks of solver-aided and interactive programming. Unknown values can be soundly integrated into programs, and automated tools such as SAT solvers can be used to prove properties of…

Programming Languages · Computer Science 2020-06-11 Bruce Collie , Michael O'Boyle

Symbolic mathematical computing systems have served as a canary in the coal mine of software systems for more than sixty years. They have introduced or have been early adopters of programming language ideas such ideas as dynamic memory…

Symbolic Computation · Computer Science 2024-06-14 Arthur C. Norman , Stephen M. Watt

Scripting languages are becoming more and more important as a tool for software development, as they provide great flexibility for rapid prototyping and for configuring componentware applications. In this paper we present LuaJava, a…

Software Engineering · Computer Science 2007-05-23 Carlos Cassino , Roberto Ierusalimschy , Noemi Rodriguez

The goal of this paper is to deliver the overview of the current state of the art, to provide experience report on developing quantum software tools, and to outline the perspective for developing quantum programming tools supporting…

Quantum Physics · Physics 2023-09-14 Jarosław Adam Miszczak

The universal object oriented languages made programming more simple and efficient. In the article is considered possibilities of using similar methods in computer algebra. A clear and powerful universal language is useful if particular…

Programming Languages · Computer Science 2016-08-31 Alexander Yu. Vlasov

Designing software systems for Geometric Computing applications can be a challenging task. Software engineers typically use software abstractions to hide and manage the high complexity of such systems. Without the presence of a unifying…

Mathematical Software · Computer Science 2017-05-19 Ahmad Hosny Eid

Symbolic computation is an important approach in automated program analysis. Most state-of-the-art tools perform symbolic computation as interpreters and directly maintain symbolic data. In this paper, we show that it is feasible, and in…

Programming Languages · Computer Science 2019-07-10 Henrich Lauko , Petr Ročkai , Jiří Barnat

This document is intended as a stand-alone textbook chapter to be used for introducing some functional programming concepts into a course in which the primary teaching language is Java. For details of the approach, please see the paper…

Programming Languages · Computer Science 2023-02-21 John MacCormick

The best way to understand complex data structures or algorithm is to see them in action. The present work presents a new tool, especially useful for students and lecturers in computer science. It is written in Java and developed at…

Computers and Society · Computer Science 2014-03-19 Kaninda Musumbu

JISA is a software library, written in Java, aimed at providing an easy, flexible and standardised means of creating experimental control software for physical sciences researchers. Specifically, with an emphasis on enabling measurement…

Instrumentation and Detectors · Physics 2023-08-28 William Alexander Wood , Thomas Marsh , Henning Sirringhaus

In this note, I develop my personal view on the scope and relevance of symbolic computation in software science. For this, I discuss the interaction and differences between symbolic computation, software science, automatic programming,…

Symbolic Computation · Computer Science 2021-09-08 Bruno Buchberger

The classical number system encodes magnitude using a single scalar value whose sign positive or negative has remained conceptually unchanged for centuries. This work introduces Multisign Algebra, a mathematical generalization of the sign…

Rings and Algebras · Mathematics 2025-12-18 Sebastián Aliaga-Rojas , Pamela Landero-Sepúlveda , Mario Inostroza-Ponta
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