theorem
A mathematical statement of some importance that has been proven to be trueA mathematical statement of some importance that has been proven to be true. Minor theorems are often called propositions. Theorems which are not very interesting in themselves but are an essential part of a bigger theorem's proof are called lemmas.
» Obviously, the theorem is true for finite sets.
Offensichtlich ist das Theorem für endliche Mengen wahr.
Очевидно, теорема верна для конечных множеств.
Очевидно, теорема вірна для скінченних множин.
Meaning
3 sensesA mathematical statement of some importance that has been proven to be true. Minor theorems are often called propositions. Theorems which are not very interesting in themselves but are an essential part of a bigger theorem's proof are called lemmas.
(colloquial, nonstandard)A mathematical statement that is expected to be true.
Fermat's Last Theorem was known thus long before it was proved in the 1990s.
Theorem, Satz, Theorem
теоре́маteoréma, теоре́маteoréma
теоре́маteoréma
A syntactically correct expression that is deducible from the given axioms of a deductive system.
- an idea accepted as a demonstrable truth
- a proposition deducible from basic postulates
Examples
18 sentencesObviously, the theorem is true for finite sets.
Очевидно, теорема вірна для скінченних множин.
ruОчевидно, теорема верна для конечных множеств.
deOffensichtlich ist das Theorem für endliche Mengen wahr.
The unalterable rhythm of mathematics is definition, theorem, proof.
Незмінний ритм математики — це визначення, теорема, доказ.
Note that this theorem does not assume the existence of such an object.
Зверніть увагу, що ця теорема не базується на припущенні, що такий об'єкт існує.
deBeachte, dass das Theorem nicht die Existenz eines solchen Objekts voraussetzt.
The theorem is incorrect.
Теорема невірна.
ruТеорема неверна.
Pythagoras' theorem allows you to calculate the length of the hypotenuse of a right triangle.
Теорема Піфагора дозволяє розраховувати довжину гіпотенузи прямокутного трикутника.
Translations
9 languagesBy meaning 1
By meaning 1
By meaning 2
Origin
From Middle French théorème, from Late Latin theōrēma, from Ancient Greek θεώρημα (theṓrēmFrom Middle French théorème, from Late Latin theōrēma, from Ancient Greek θεώρημα (theṓrēma, “speculation, proposition to be proved”) (Euclid), from θεωρέω (theōréō, “to look at, view, consider, examine”), from θεωρός (theōrós, “spectator”), from θέα (théa, “a view”) + ὁράω (horáō, “to see, look”). See also theory, and theater.
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