Meaning

3 senses
  1. A 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.

  2. (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

  3. A syntactically correct expression that is deducible from the given axioms of a deductive system.

More definitions
  • an idea accepted as a demonstrable truth
  • a proposition deducible from basic postulates

Examples

18 sentences
  1. Obviously, the theorem is true for finite sets.

    Очевидно, теорема вірна для скінченних множин. — deniko

    ruОчевидно, теорема верна для конечных множеств. — arseniiv

    deOffensichtlich ist das Theorem für endliche Mengen wahr. — MUIRIEL

  2. The unalterable rhythm of mathematics is definition, theorem, proof.

    Незмінний ритм математики — це визначення, теорема, доказ. — deniko

  3. 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. — deniko

    deBeachte, dass das Theorem nicht die Existenz eines solchen Objekts voraussetzt. — MUIRIEL

  4. The theorem is incorrect.

    Теорема невірна. — quez

    ruТеорема неверна. — marafon

  5. Pythagoras' theorem allows you to calculate the length of the hypotenuse of a right triangle.

    Теорема Піфагора дозволяє розраховувати довжину гіпотенузи прямокутного трикутника. — deniko

Translations

9 languages
Українська
By meaning 1
proved mathematical statement:
Русский
By meaning 1
mathematical statement that is expected to be true:
Deutsch
By meaning 2
mathematical statement that is expected to be true:
proved mathematical statement:

Origin

From Middle French théorème, from Late Latin theōrēma, from Ancient Greek θεώρημα (theṓrēm

From 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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