Theorem: meaning, definitions and examples

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theorem

 

[ หˆฮธiหษ™rษ™m ]

Noun
Context #1 | Noun

mathematics

A theorem is a statement that has been proven on the basis of previously established statements, such as other theorems, and generally accepted facts. The proof of a theorem is a logical argument that uses these established statements and facts to demonstrate the truth of the statement being proven.

Synonyms

law, principle, proposition

Examples of usage

  • A classic example of a theorem in mathematics is the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
  • Another famous theorem is the Fundamental Theorem of Calculus, which relates the concept of differentiation and integration in calculus.
Context #2 | Noun

general

A theorem can also refer to a general statement or principle that is accepted as a truth based on empirical evidence or logical reasoning, but may not have a formal proof.

Synonyms

axiom, postulate, principle

Examples of usage

  • It is a widely accepted theorem in psychology that individuals tend to conform to social norms in group settings.
  • One common business theorem is that lower prices lead to higher sales volume.

Translations

Translations of the word "theorem" in other languages:

๐Ÿ‡ต๐Ÿ‡น teorema

๐Ÿ‡ฎ๐Ÿ‡ณ เคชเฅเคฐเคฎเฅ‡เคฏ

๐Ÿ‡ฉ๐Ÿ‡ช Theorem

๐Ÿ‡ฎ๐Ÿ‡ฉ teorema

๐Ÿ‡บ๐Ÿ‡ฆ ั‚ะตะพั€ะตะผะฐ

๐Ÿ‡ต๐Ÿ‡ฑ twierdzenie

๐Ÿ‡ฏ๐Ÿ‡ต ๅฎš็† (ใฆใ„ใ‚Š)

๐Ÿ‡ซ๐Ÿ‡ท thรฉorรจme

๐Ÿ‡ช๐Ÿ‡ธ teorema

๐Ÿ‡น๐Ÿ‡ท teorem

๐Ÿ‡ฐ๐Ÿ‡ท ์ •๋ฆฌ (jeong-ri)

๐Ÿ‡ธ๐Ÿ‡ฆ ู†ูŽุธูŽุฑููŠูŽู‘ุฉ

๐Ÿ‡จ๐Ÿ‡ฟ teorรฉm

๐Ÿ‡ธ๐Ÿ‡ฐ teorรฉma

๐Ÿ‡จ๐Ÿ‡ณ ๅฎš็† (dรฌnglว)

๐Ÿ‡ธ๐Ÿ‡ฎ teorema

๐Ÿ‡ฎ๐Ÿ‡ธ frรฆรฐi

๐Ÿ‡ฐ๐Ÿ‡ฟ ั‚ะตะพั€ะตะผะฐ

๐Ÿ‡ฌ๐Ÿ‡ช แƒ—แƒ”แƒแƒ แƒ”แƒ›แƒ (teorema)

๐Ÿ‡ฆ๐Ÿ‡ฟ teorema

๐Ÿ‡ฒ๐Ÿ‡ฝ teorema

Etymology

The word "theorem" originated from the Greek word "theorema", which means "a spectacle" or "that which is looked at". In ancient Greece, a theorem referred to a mathematical or geometrical statement that could be demonstrated or proved. Over time, the term has evolved to encompass general principles and statements beyond mathematics.

See also: theoretic, theoretical, theorist, theorize.

Word Frequency Rank

At #6,108 in frequency, this word belongs to advanced vocabulary. It's less common than core vocabulary but important for sophisticated expression.