Axiom is a free, general-purpose computer algebra system. It consists of an interpreter environment, a compiler and a library, which defines a strongly...
21 KB (2,120 words) - 14:51, 29 July 2024
A computer algebra system (CAS) or symbolic algebra system (SAS) is any mathematical software with the ability to manipulate mathematical expressions in...
18 KB (1,799 words) - 01:55, 16 December 2024
record producer Axioms (album), a 1999 album by Asia Axiom (computer algebra system), a free, general-purpose computer algebra system AXIOM (camera), a professional...
2 KB (245 words) - 18:09, 29 May 2024
comparison of computer algebra systems (CAS). A CAS is a package comprising a set of algorithms for performing symbolic manipulations on algebraic objects,...
30 KB (662 words) - 20:44, 30 April 2025
language to the .NET environment A Sharp (Axiom), a programming language for the Axiom computer algebra system This disambiguation page lists articles associated...
362 bytes (82 words) - 10:38, 19 April 2025
language of the Axiom computer algebra system. Aldor combines imperative, functional, and object-oriented features. It has an elaborate type system, allowing...
6 KB (401 words) - 08:33, 6 May 2024
List of open-source software for mathematics (redirect from List of open-source computer algebra systems)
computer algebra system (CAS) is a software product designed for manipulation of mathematical formulae. The principal objective of a computer algebra...
14 KB (1,604 words) - 04:07, 20 April 2025
mathematics and mathematical logic, Boolean algebra is a branch of algebra. It differs from elementary algebra in two ways. First, the values of the variables...
75 KB (9,572 words) - 09:14, 22 April 2025
FriCAS (category Computer algebra system software for Linux)
Communications in Computer Algebra. 46 (1/2): 10–11. doi:10.1145/2338496.2338499. S2CID 36788754. "Axiom Computer Algebra System". axiom-developer.org. "Richard...
8 KB (782 words) - 20:38, 14 April 2025
language distributed as a separable component of Version 2 of the Axiom computer algebra system. A# types and functions are first-class values and can be used...
4 KB (210 words) - 16:41, 13 May 2022
In mathematics and computer science, computer algebra, also called symbolic computation or algebraic computation, is a scientific area that refers to...
25 KB (3,021 words) - 07:47, 15 April 2025
while the axioms and theorems of Boolean algebra express the symmetry of the theory described by the duality principle. The term "Boolean algebra" honors...
49 KB (3,372 words) - 02:25, 17 September 2024
logical proof system characterize it simply as a logical proof system with axioms, sources that use variants of the term "Hilbert system" sometimes define...
27 KB (3,534 words) - 11:10, 23 April 2025
In mathematics, the axiom of choice, abbreviated AC or AoC, is an axiom of set theory. Informally put, the axiom of choice says that given any collection...
59 KB (7,889 words) - 18:04, 1 May 2025
mathematics, and more specifically in abstract algebra, a *-algebra (or involutive algebra; read as "star-algebra") is a mathematical structure consisting of...
11 KB (1,359 words) - 08:52, 21 December 2024
mathematics, a median algebra is a set with a ternary operation ⟨ x , y , z ⟩ {\displaystyle \langle x,y,z\rangle } satisfying a set of axioms which generalise...
4 KB (583 words) - 20:57, 4 May 2024
variety RA of relation algebras. Expanding the above definition as equations yields the following finite axiomatization. The axioms B1-B10 below are adapted...
25 KB (2,546 words) - 13:46, 21 June 2024
mathematical logic, the Peano axioms (/piˈɑːnoʊ/, [peˈaːno]), also known as the Dedekind–Peano axioms or the Peano postulates, are axioms for the natural numbers...
49 KB (6,478 words) - 03:13, 3 April 2025
the components of the Axiom computer algebra system concerning polynomials and rational functions. Gianni is a professor of algebra in the mathematics department...
3 KB (233 words) - 12:51, 18 February 2024
Ring (mathematics) (redirect from Ring axioms)
structures with axioms that included a multiplicative identity, whereas Noether applied it to structures that did not. Most or all books on algebra up to around...
99 KB (13,738 words) - 15:20, 26 April 2025
Projective geometry (redirect from Axioms of projective geometry)
the axioms of incidence can be modelled (in two dimensions only) by structures not accessible to reasoning through homogeneous coordinate systems. In...
38 KB (5,099 words) - 13:20, 23 January 2025
Zermelo–Fraenkel set theory (redirect from Zermelo-Fraenkel axiom)
(encountered in category theory and algebraic geometry) can be formalized. Foundations of mathematics Inner model Large cardinal axiom Related axiomatic set theories:...
46 KB (6,252 words) - 14:45, 16 April 2025
In mathematics and theoretical computer science, a Kleene algebra (/ˈkleɪni/ KLAY-nee; named after Stephen Cole Kleene) is a semiring that generalizes...
18 KB (2,213 words) - 18:14, 27 April 2025
axiomatic system is a set of formal statements (i.e. axioms) used to logically derive other statements such as lemma or theorems. A proof within an axiom system...
13 KB (1,748 words) - 20:09, 3 May 2025
geometry are those of Alfred Tarski and of George Birkhoff. Hilbert's axiom system is constructed with six primitive notions: three primitive terms: point;...
16 KB (2,313 words) - 03:58, 9 April 2025
In computer science, algebraic semantics is a form of axiomatic semantics based on algebraic laws for describing and reasoning about program specifications...
10 KB (1,567 words) - 17:54, 29 September 2023
Boolean algebra. The axiom (C4) drops out (becomes a tautology). Thus monadic Boolean algebra can be seen as a restriction of cylindric algebra to the...
7 KB (1,156 words) - 11:30, 14 December 2024
Algebra is a branch of mathematics that deals with abstract systems, known as algebraic structures, and the manipulation of expressions within those systems...
138 KB (14,097 words) - 18:23, 25 April 2025
Risch algorithm (category Computer algebra)
computer algebra systems to find antiderivatives. It is named after the American mathematician Robert Henry Risch, a specialist in computer algebra who...
15 KB (1,884 words) - 15:01, 6 February 2025
work in progress Scratchpad, the former name of Axiom, a free, general-purpose computer algebra system This disambiguation page lists articles associated...
469 bytes (99 words) - 06:32, 30 July 2024