congruence background

congruence

/ˈkɒŋɡruəns/ /ˈkənˈɡruːəns/

Illustration congruence - Image 1

noun

Übereinstimmung, Kongruenz

The quality of agreeing or corresponding; being suitable and appropriate.

Examples :

"The congruence between his words and his actions made him a trustworthy leader. "

Die Übereinstimmung zwischen seinen Worten und Taten machte ihn zu einem vertrauenswürdigen Anführer.

quality math logic philosophy science being attitude

Illustration congruence - Image 1

noun

Kongruenz

A relation between two numbers indicating they give the same remainder when divided by some given number.

Examples :

"The congruence of 17 and 3 modulo 7 is evident because both numbers leave a remainder of 3 when divided by 7. "

Die Kongruenz von 17 und 3 modulo 7 ist offensichtlich, da beide Zahlen bei der Division durch 7 den Rest 3 ergeben.

math number logic

Illustration congruence - Image 1

noun

Kongruenz, Deckungsgleichheit

The quality of being isometric — roughly, the same measure and shape.

Examples :

"The architect checked the congruence of the two window frames to ensure they were exactly the same size and shape. "

Der Architekt überprüfte die Kongruenz der beiden Fensterrahmen, um sicherzustellen, dass sie exakt die gleiche Größe und Form hatten.

Illustration congruence - Image 1

noun

Kongruenz

More generally: any equivalence relation defined on an algebraic structure which is preserved by operations defined by the structure.

Examples :

"In art class, the congruence between the student's painting and the original photograph was remarkable; the colors, shapes, and overall composition remained consistent despite being translated to a new medium. "

Im Kunstunterricht war die Kongruenz zwischen dem Gemälde des Schülers und dem Originalfoto bemerkenswert; die Farben, Formen und die Gesamtkomposition blieben trotz der Übertragung auf ein neues Medium konsistent.

math logic structure system