theorem background

theorem

/ˈθiː.ə.ɹəm/

Illustration theorem - Image 1

noun

Théorème

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.

Examples :

"In geometry class, the students learned a famous theorem about triangles that helps them calculate missing angles. "

En cours de géométrie, les élèves ont appris un célèbre théorème sur les triangles qui les aide à calculer les angles manquants.

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Illustration theorem - Image 1

noun

Théorème

A mathematical statement that is expected to be true

Examples :

"Before solving the geometry problem, the teacher reminded us of the Pythagorean theorem, which states a relationship we expect to be true for all right triangles. "

Avant de résoudre le problème de géométrie, le professeur nous a rappelé le théorème de Pythagore, qui énonce une relation que nous attendons vraie pour tous les triangles rectangles.

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Illustration theorem - Image 1

noun

Théorème

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

Examples :

"The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. "

Le théorème de Pythagore énonce que dans un triangle rectangle, le carré de l'hypoténuse est égal à la somme des carrés des deux autres côtés.

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Illustration theorem - Image 1

verb

Théoriser

To formulate into a theorem.

Examples :

"The student worked late into the night trying to theorem his original idea about prime numbers, hoping to prove it true. "

L'étudiant a travaillé tard dans la nuit pour théoriser son idée originale sur les nombres premiers, espérant la prouver vraie.