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{{Short description|Computer algebra system}} ...uter algebra system]] written in the programming language [[C++]]. It is [[free software]] released under the terms of the [[GNU General Public License]]. ...

In [[computer algebra]], a '''regular semi-algebraic system''' is a particular kind of triangular ...a regular chain focusing on solutions of the real analogue: semi-algebraic systems. ...

In [[mathematics]], a '''median algebra''' is a set with a [[ternary operation]] <math>\langle x,y,z \rangle</math> There are other possible axiom systems: for example the two ...

{{Short description|Computer algebra system}} |genre = [[Computer algebra system]], [[Mathematical software]] ...

...AT) is an equational system that combines [[Kleene algebra]] and [[Boolean algebra]]. It was developed by [[Dexter Kozen]] in the 1990s. In 2022, Kozen receiv ...such that <math>(\mathcal{B}, +, \cdot, {}^-, 0, 1)</math> is a [[Boolean algebra]]. This means that for <math>\mathcal{B}</math>:{{sfn|Kozen|1996a|p=17}} ...

...01933 | date=2 December 2012 |publisher=North-Holland|chapter=5.4 The Wang-algebra formulation|pages=332–352}} [https://books.google.com/books?id=kAcBm96mUvsC ...ioinformatics |volume=10 |page=238 |pmid=19653903 |pmc=2729780 |doi-access=free }}</ref> ...

...ept of Graph Algebras|"Graph Algebra" as used in the social sciences|Graph algebra (social sciences)}} ...e/page/206 pp. 206–231]}} and has seen many uses in the field of universal algebra since then. ...

In formal reasoning, in particular in [[mathematical logic]], [[computer algebra]], and [[automated theorem proving]], a '''fresh variable''' is a variable ...y to avoid accidentally capturing variables that should be [[free variable|free]].<ref>{{cite book ...

== Computer algebra systems== ...anipulation of [[Symbolic computing|symbolic equations]]. Computer algebra systems often include facilities for [[Infographic|graphing]] equations and provide ...

{{Short description|Algorithm on systems of polynomials}} ...is a solution of {{mvar|S}} if and only if it is a solution of one of the systems {{math|''S''₁, ..., ''S_e''}}. ...

In [[algebra]], '''[[linear equation]]s''' and '''[[systems of linear equations]]''' over a [[Field (mathematics)|field]] are widely st ...'computable ring''', or '''effective ring'''. One may also say that linear algebra on the ring is '''effective'''. ...

| journal = Journal of Algebra | year = 1991| doi-access = free ...

...(''k'' + 1)}}th polynomial. In other words, regular chains allow solving [[systems of polynomial equations]] by solving successive univariate equations withou ...an be removed; (2) the [[dimension]] of each component is 1, the number of free variables in the regular chain. ...

...st Workshop on Conditional Term Rewriting Systems |series=Lecture Notes in Computer Science |pages=258–263 |publisher=[[Springer Science+Business Media|Springe ...r2=Dov M. Gabbay |editor3=Thomas S. E. Maibaum |title=Handbook of Logic in Computer Science|year=1995|volume=Vol. 3: Semantic structures|publisher=Clarendon Pr ...

...|url=http://dx.doi.org/10.1016/s0304-3975(96)00232-0 |journal=Theoretical Computer Science |volume=177 |issue=1 |pages=3–25 |doi=10.1016/s0304-3975(96)00232-0 ...ms for Effectful Categories |journal=Electronic Proceedings in Theoretical Computer Science |volume=380 |pages=344–361 |doi=10.4204/EPTCS.380.20 |arxiv=2205.07 ...

{{short description|Scientific area at the interface between computer science and mathematics}} ...− 96''x'' − 71}}}}}} using the computer algebra system ''[[Axiom (computer algebra system)|Axiom]]'']] ...

=== Early algebra === [[La Géométrie]] - change coordinate systems or simplify equations in [[Analytic geometry]] ...

...m%3A978-3-540-38933-0%2F1.pdf|chapter=Front matter|series=Lecture Notes in Computer Science |isbn=3-540-13378-X |s2cid=7488558 }}</ref> ...Ics) |volume=62 |pages=6:1–6:15 |doi=10.4230/LIPIcs.CSL.2016.6 |doi-access=free |isbn=9783959770224}}</ref><ref>{{cite book |last1=Arnold |first1=A. |url=h ...

| fields = [[Mathematics]] [[Computer Science]] [[Cryptography]] | thesis_title = Residual Solvability of Generalized Free Products<ref>{{Cite web|url=https://www.mathgenealogy.org/id.php?id=75990|t ...

| volume = 23| doi-access = free is a method to calculate a [[Basis (linear algebra)|basis]] for the [[Linear subspace#Intersection|intersection]] and [[linear ...