equivalence background

equivalence

/ɪˈkwɪvələns/

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noun

Äquivalenz, Gleichwertigkeit

The condition of being equivalent or essentially equal.

Examples :

"In mathematics, students learn about the equivalence of different fractions, like 1/2 and 2/4, which represent the same value. "

In der Mathematik lernen die Schüler die Äquivalenz verschiedener Brüche kennen, wie z. B. 1/2 und 2/4, die denselben Wert darstellen.

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noun

Äquivalenz, Gleichwertigkeit

An equivalence relation; ≡; ~

Examples :

"In math class, the teacher showed us the equivalence of two different fractions that represented the same value: 1/2 and 2/4. "

Im Matheunterricht zeigte uns der Lehrer die Äquivalenz von zwei verschiedenen Brüchen, die denselben Wert darstellten: 1/2 und 2/4.

math logic theory

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noun

Äquivalenz, Gleichwertigkeit

The relationship between two propositions that are either both true or both false.

Examples :

"The statement "it is raining" and the statement "the ground is wet" have a strong equivalence; if one is true, the other is also true. "

Die Aussage „Es regnet“ und die Aussage „Der Boden ist nass“ weisen eine starke Äquivalenz auf; wenn eine wahr ist, ist auch die andere wahr.

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noun

Äquivalent, Wertigkeit

The quantity of the combining power of an atom, expressed in hydrogen units; the number of hydrogen atoms can combine with, or be exchanged for; valency.

Examples :

"The equivalence of the two students' skills in math was clear: they both could solve complex equations with equal ease. "

Die Äquivalenz der mathematischen Fähigkeiten der beiden Schüler war klar: Beide konnten komplexe Gleichungen mit gleicher Leichtigkeit lösen.

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noun

Äquivalenz

A Boolean operation that is TRUE when both input variables are TRUE or both input variables are FALSE, but otherwise FALSE; the XNOR function.

Examples :

"The equivalence of the two students' answers was clear: both had the correct solution, or both had the wrong one. "

Die Äquivalenz der Antworten der beiden Schüler war klar: Beide hatten die richtige Lösung oder beide die falsche.

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noun

Äquivalenz

A number in intersection theory. A positive-dimensional variety sometimes behaves formally as if it were a finite number of points; this number is its equivalence.

Examples :

"The equivalence of the different math problems in the textbook is that they all demonstrate the same principle of factoring. "

Die Äquivalenz der verschiedenen Matheaufgaben in dem Lehrbuch besteht darin, dass sie alle das gleiche Prinzip des Faktorisierens demonstrieren.

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noun

Äquivalenz, Gleichwertigkeit

The degree to which a term or text in one language is semantically similar to its translated counterpart.

Examples :

"The equivalence of the translated textbook was high, meaning the Spanish version conveyed the same information as the original English text. "

Die Äquivalenz des übersetzten Lehrbuchs war hoch, was bedeutet, dass die spanische Version die gleichen Informationen wie der englische Originaltext enthielt.

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verb

entsprechen, gleichkommen

To be equivalent or equal to; to counterbalance.

Examples :

"The extra hours of work this week will equivalence a larger paycheck at the end of the month. "

Die zusätzlichen Arbeitsstunden in dieser Woche entsprechen einem größeren Gehaltsscheck am Monatsende.

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