theorem background

theorem

/ˈθiː.ə.ɹəm/

Illustration theorem - Image 1

noun

Lehrsatz

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. "

Im Geometrieunterricht lernten die Schüler einen berühmten Lehrsatz über Dreiecke, der ihnen hilft, fehlende Winkel zu berechnen.

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Illustration theorem - Image 1

noun

Lehrsatz

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. "

Bevor wir das Geometrieproblem lösten, erinnerte uns der Lehrer an den Satz des Pythagoras, der eine Beziehung darstellt, von der wir erwarten, dass sie für alle rechtwinkligen Dreiecke gilt.

math theory logic statement science education

Illustration theorem - Image 1

noun

Lehrsatz

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. "

Der Satz des Pythagoras besagt, dass in einem rechtwinkligen Dreieck das Quadrat der Hypotenuse gleich der Summe der Quadrate der beiden anderen Seiten ist.

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Illustration theorem - Image 1

verb

In einen Lehrsatz fassen

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. "

Der Student arbeitete bis spät in die Nacht, um seine ursprüngliche Idee über Primzahlen in einen Lehrsatz zu fassen, in der Hoffnung, sie zu beweisen.