axiom of congruence

  • 1Euclid's Elements — (Greek: polytonic|Στοιχεῖα) is a mathematical and geometric treatise consisting of 13 books written by the Greek mathematician Euclid in Alexandria circa 300 BC. It comprises a collection of definitions, postulates (axioms), propositions… …

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  • 2Tarski's axioms — Tarski s axioms, due to Alfred Tarski, are an axiom set for the substantial fragment of Euclidean geometry, called elementary, that is formulable in first order logic with identity, and requiring no set theory. Other modern axiomizations of… …

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  • 3π-calculus — In theoretical computer science, the π calculus (or pi calculus) is a process calculus originally developed by Robin Milner, Joachim Parrow and David Walker as a continuation of work on the process calculus CCS (Calculus of Communicating Systems) …

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  • 4Pi-calculus — In theoretical computer science, the pi calculus is a process calculus originally developed by Robin Milner, Joachim Parrow and David Walker as a continuation of work on the process calculus CCS (Calculus of Communicating Systems). The aim of the …

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  • 5mathematics — /math euh mat iks/, n. 1. (used with a sing. v.) the systematic treatment of magnitude, relationships between figures and forms, and relations between quantities expressed symbolically. 2. (used with a sing. or pl. v.) mathematical procedures,… …

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  • 6Euclidean geometry — A Greek mathematician performing a geometric construction with a compass, from The School of Athens by Raphael. Euclidean geometry is a mathematical system attributed to the Alexandrian Greek mathematician Euclid, which he described in his… …

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  • 7Hilbert's axioms — are a set of 20 assumptions (originally 21), David Hilbert proposed in 1899 as the foundation for a modern treatment of Euclidean geometry. Other well known modern axiomatizations of Euclidean geometry are those of Tarski and of George… …

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  • 8Universal algebra — (sometimes called general algebra) is the field of mathematics that studies algebraic structures themselves, not examples ( models ) of algebraic structures.For instance, rather than take particular groups as the object of study, in universal… …

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  • 9List of mathematics articles (A) — NOTOC A A Beautiful Mind A Beautiful Mind (book) A Beautiful Mind (film) A Brief History of Time (film) A Course of Pure Mathematics A curious identity involving binomial coefficients A derivation of the discrete Fourier transform A equivalence A …

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  • 10Propositional calculus — In mathematical logic, a propositional calculus or logic (also called sentential calculus or sentential logic) is a formal system in which formulas of a formal language may be interpreted as representing propositions. A system of inference rules… …

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