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.
Значение
значений: 3A 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.
(разговорное, ненормативное)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
Примеры
предложений: 18Obviously, the theorem is true for finite sets.
Очевидно, теорема верна для конечных множеств.
ukОчевидно, теорема вірна для скінченних множин.
deOffensichtlich ist das Theorem für endliche Mengen wahr.
Now, we show how this lemma can be used to prove our main theorem.
Теперь мы покажем, как эта лемма может быть применена для доказательства основной теоремы.
deWir zeigen nun, wie dieses Lemma angewendet werden kann, um unser Haupttheorem zu beweisen.
The theorem is incorrect.
Теорема неверна.
ukТеорема невірна.
Wilson's theorem says that an integer p greater than 1 is prime if and only if (p-1)! is congruent to -1 modulo p.
Теорема Вильсона гласит, что целое число p, большее 1, является простым тогда и только тогда, когда (p-1)! сравнимо с -1 по модулю p.
Pythagoras' theorem says that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Теорема Пифагора гласит о том, что квадрат гипотенузы равен сумме квадратов катетов.
deDer Satz des Pythagoras sagt, dass das Quadrat der Hypotenuse gleich der Summe der Quadrate der anderen beiden Seiten ist.
Переводы
языков: 9По значениям 1
По значениям 1
По значениям 2
Происхождение
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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