Axiom is a free, general-purpose computer algebra system. It consists of an interpreter environment, a compiler and a library, which defines a strongly...

record producer Axioms (album), a 1999 album by Asia Axiom (computer algebra system), a free, general-purpose computer algebra system AXIOM (camera), a professional...

A computer algebra system (CAS) or symbolic algebra system (SAS) is any mathematical software with the ability to manipulate mathematical expressions in...

language to the .NET environment A Sharp (Axiom), a programming language for the Axiom computer algebra system A♯1 Roller Rager, 2009 song by CKY This disambiguation...

comparison of computer algebra systems (CAS). A CAS is a package comprising a set of algorithms for performing symbolic manipulations on algebraic objects,...

language of the Axiom computer algebra system. Aldor combines imperative, functional, and object-oriented features. It has an elaborate type system, allowing...

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...

In mathematics and computer science, computer algebra, also called symbolic computation or algebraic computation, is a scientific area that refers to...

Communications in Computer Algebra. 46 (1/2): 10–11. doi:10.1145/2338496.2338499. S2CID 36788754. "Axiom Computer Algebra System". axiom-developer.org. "Richard...

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...

computer algebra system (CAS) is a software product designed for manipulation of mathematical formulae. The principal objective of a computer algebra...

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...

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...

variety RA of relation algebras. Expanding the above definition as equations yields the following finite axiomatization. The axioms B1-B10 below are adapted...

mathematical logic, the Peano axioms (/piˈɑːnoʊ/, [peˈaːno]), also known as the Dedekind–Peano axioms or the Peano postulates, are axioms for the natural numbers...

while the axioms and theorems of Boolean algebra express the symmetry of the theory described by the duality principle. The term "Boolean algebra" honors...

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...

under contract with IBM. AKCL formed the foundation for Axiom, another computer algebra system. AKCL eventually became GNU Common Lisp. He is also credited...

mathematics, and more specifically in abstract algebra, a *-algebra (or involutive algebra; read as "star-algebra") is a mathematical structure consisting of...

geometry are those of Alfred Tarski and of George Birkhoff. Hilbert's axiom system is constructed with six primitive notions: three primitive terms: point;...

the axioms of incidence can be modelled (in two dimensions only) by structures not accessible to reasoning through homogeneous coordinate systems. In...

Algebra is a branch of mathematics that deals with abstract systems, known as algebraic structures, and the manipulation of expressions within those systems...

(encountered in category theory and algebraic geometry) can be formalized. Foundations of mathematics Inner model Large cardinal axiom Related axiomatic set theories:...

the components of the Axiom computer algebra system concerning polynomials and rational functions. Gianni is a professor of algebra in the mathematics department...

category of sets Regular chains in computer algebra Regular element (disambiguation), certain kinds of elements of an algebraic structure Regular extension of...

logical proof system characterize it simply as a logical proof system with axioms, sources that use variants of the term "Hilbert system" sometimes define...

of numerical linear algebra, and play a prominent role in physics, engineering, chemistry, computer science, and economics. A system of non-linear equations...

In mathematics and theoretical computer science, a Kleene algebra (/ˈkleɪni/ KLAY-nee; named after Stephen Cole Kleene) is a semiring that generalizes...

estimation method Numerical linear algebra Outline of linear algebra Transformation matrix This axiom is not asserting the associativity of an operation, since...

blocks, in a sense made precise by the Jordan–Hölder theorem. Computer algebra systems have been used to list all groups of order up to 2000. But classifying...