- axioms of congruence
- мат.аксиомы конгруэнтности
English-Russian scientific dictionary. 2008.
axioms of congruence
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Congruence relation — See congruence (geometry) for the term as used in elementary geometry. In abstract algebra, a congruence relation (or simply congruence) is an equivalence relation on an algebraic structure (such as a group, ring, or vector space) that is… … Wikipedia
Congruence (geometry) — An example of congruence. The two figures on the left are congruent, while the third is similar to them. The last figure is neither similar nor congruent to any of the others. Note that congruence … Wikipedia
Tarski'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… … Wikipedia
Hilbert'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… … Wikipedia
Ludwik Silberstein — (* 17. Mai 1872 in Warschau; † 17. Januar 1948) war ein polnisch US amerikanischer Physiker. Silberstein studierte in Krakau, Heidelberg und Berlin, wo er 1894 promovierte (Über die mechanische Auffassung elektromagnetischer Erscheinungen in… … Deutsch Wikipedia
Euclidean 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… … Wikipedia
Euclidean geometry — geometry based upon the postulates of Euclid, esp. the postulate that only one line may be drawn through a given point parallel to a given line. [1860 65] * * * Study of points, lines, angles, surfaces, and solids based on Euclid s axioms. Its… … Universalium
mathematics — /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,… … Universalium
Multiplicative group of integers modulo n — In modular arithmetic the set of congruence classes relatively prime to the modulus n form a group under multiplication called the multiplicative group of integers modulo n. It is also called the group of primitive residue classes modulo n. In… … Wikipedia
David Hilbert — Hilbert redirects here. For other uses, see Hilbert (disambiguation). David Hilbert David Hilbert (1912) Born … Wikipedia
Axiomes de Hilbert — David Hilbert Dans un mémoire paru en 1899, Les fondements de la géométrie ((de)Grundlagen der Geometrie), David Hilbert propose une axiomatisation de la géométrie euclidienne. Ce sont ces axiomes, qui ont été révisés au cours des éditions… … Wikipédia en Français
