theorem background

theorem

/ˈθiː.ə.ɹəm/

Illustration theorem - Image 1

noun

Теорема

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. "

На уроке геометрии ученики изучили известную теорему о треугольниках, которая помогает им вычислять недостающие углы.

math theory logic statement science education

Illustration theorem - Image 1

noun

Теорема

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. "

Прежде чем решить геометрическую задачу, учитель напомнил нам теорему Пифагора, которая устанавливает отношение, которое, как мы ожидаем, будет верным для всех прямоугольных треугольников.

math theory logic statement science education

Illustration theorem - Image 1

noun

Теорема

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. "

Теорема Пифагора гласит, что в прямоугольном треугольнике квадрат гипотенузы равен сумме квадратов двух других сторон.

theory math logic science

Illustration theorem - Image 1

verb

Сформулировать в виде теоремы

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. "

Студент работал допоздна, пытаясь сформулировать в виде теоремы свою оригинальную идею о простых числах, надеясь доказать ее истинность.