Congruent transformation

Congruent transformation: In mathematics, a congruent transformation (or congruence transformation) is:

Another term for an isometry; see congruence (geometry).

A transformation of the form A → P^TAP, where A and P are square matrices, P is invertible, and P^T denotes the transpose of P; see congruence in linear algebra.

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Congruent transformation — Congruent transformation. См. Конгруэнтное превращение. (Источник: «Металлы и сплавы. Справочник.» Под редакцией Ю.П. Солнцева; НПО Профессионал , НПО Мир и семья ; Санкт Петербург, 2003 г.) … Словарь металлургических терминов
Конгруэнтное превращение — Congruent transformation Конгруэнтное превращение. Изотермический или изобарический фазовый переход металла, при котором обе фазы имеют тот же самый состав на протяжении всего процесса. (Источник: «Металлы и сплавы. Справочник.» Под редакцией Ю.П … Словарь металлургических терминов
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конгруэнтное превращение — Изотермический или изобарический фазовый переход металла, при котором обе фазы имеют тот же самый состав на протяжении всего процесса. [http://www.manual steel.ru/eng a.html] Тематики металлургия в целом EN congruent transformation … Справочник технического переводчика
Invariant (mathematics) — In mathematics, an invariant is a property of a class of mathematical objects that remains unchanged when transformations of a certain type are applied to the objects. The particular class of objects and type of transformations are usually… … Wikipedia
Similarity (geometry) — Geometry = Two geometrical objects are called similar if one is congruent to the result of a uniform scaling (enlarging or shrinking) of the other. One can be obtained from the other by uniformly stretching , possibly with additional rotation,… … Wikipedia
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Equivalence relation — In mathematics, an equivalence relation is a binary relation between two elements of a set which groups them together as being equivalent in some way. Let a , b , and c be arbitrary elements of some set X . Then a b or a ≡ b denotes that a is… … Wikipedia
List of matrices — This page lists some important classes of matrices used in mathematics, science and engineering: Matrices in mathematics*(0,1) matrix a matrix with all elements either 0 or 1. Also called a binary matrix . *Adjugate matrix * Alternant matrix a… … Wikipedia
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Congruent transformation

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