• Axiom is a free, general-purpose computer algebra system. It consists of an interpreter environment, a compiler and a library, which defines a strongly...
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  • record producer Axioms (album), a 1999 album by Asia Axiom (computer algebra system), a free, general-purpose computer algebra system AXIOM (camera), a professional...
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  • 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) - 23:49, 11 July 2025
  • comparison of computer algebra systems (CAS). A CAS is a package comprising a set of algorithms for performing symbolic manipulations on algebraic objects,...
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  • language to the .NET environment A Sharp (Axiom), a programming language for the Axiom computer algebra system This disambiguation page lists articles associated...
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  • language of the Axiom computer algebra system. Aldor combines imperative, functional, and object-oriented features. It has an elaborate type system, allowing...
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  • Thumbnail for Computer algebra
    In mathematics and computer science, computer algebra, also called symbolic computation or algebraic computation, is a scientific area that refers to...
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  • 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...
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  • 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...
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  • 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...
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  • axiomatic system is a set of formal statements (i.e. axioms) used to logically derive other statements such as lemmas or theorems. A proof within an axiom system...
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  • computer algebra system (CAS) is a software product designed for manipulation of mathematical formulae. The principal objective of a computer algebra...
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  • mathematical logic, the Peano axioms (/piˈɑːnoʊ/, [peˈaːno]), also known as the Dedekind–Peano axioms or the Peano postulates, are axioms for the natural numbers...
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  • mathematics, and more specifically in abstract algebra, a *-algebra (or involutive algebra; read as "star-algebra") is a mathematical structure consisting of...
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  • Thumbnail for Boolean algebra (structure)
    while the axioms and theorems of Boolean algebra express the symmetry of the theory described by the duality principle. The term "Boolean algebra" honors...
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  • 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...
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  • Thumbnail for Axiom of choice
    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...
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  • the components of the Axiom computer algebra system concerning polynomials and rational functions. Gianni is a professor of algebra in the mathematics department...
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  • 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...
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  • the axioms of incidence can be modelled (in two dimensions only) by structures not accessible to reasoning through homogeneous coordinate systems. In...
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  • variety RA of relation algebras. Expanding the above definition as equations yields the following finite axiomatization. The axioms B1-B10 below are adapted...
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  • logical proof system characterize it simply as a logical proof system with axioms, sources that use variants of the term "Hilbert system" sometimes define...
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  • category of sets Regular chains in computer algebra Regular element (disambiguation), certain kinds of elements of an algebraic structure Regular extension of...
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  • axiom of choice included is abbreviated ZFC, where C stands for "choice", and ZF refers to the axioms of Zermelo–Fraenkel set theory with the axiom of...
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  • work in progress Scratchpad, the former name of Axiom, a free, general-purpose computer algebra system This disambiguation page lists articles associated...
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  • Algebra is a branch of mathematics that deals with abstract systems, known as algebraic structures, and the manipulation of expressions within those systems...
    137 KB (13,744 words) - 14:53, 9 July 2025
  • In mathematics and theoretical computer science, a Kleene algebra (/ˈkleɪni/ KLAY-nee; named after Stephen Cole Kleene) is a semiring that generalizes...
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  • In computer science, algebraic semantics is a formal approach to programming language theory that uses algebraic methods for defining, specifying, and...
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  • geometry are those of Alfred Tarski and of George Birkhoff. Hilbert's axiom system is constructed with six primitive notions: three primitive terms: point;...
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  • Algebraic structure Minimal axioms for Boolean algebra Dahn, B. I. (1998) Abstract to "Robbins Algebras Are Boolean: A Revision of McCune's Computer-Generated...
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