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word: theorem

By: Elisabetta Suppa, Liceo Scientifico Statale "G. Berto" (IT) & Joel Vicente, INS d'Almenar (SP)

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Word definition(s)

Α theoretical proposition, statement, or formula embodying something to be proved from other propositions or formulas.

a rule or law, especially one expressed by an equation or formula.

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Word definition(s)

Logic: a proposition that can be deduced from the premises or assumptions of a system.

This diagram shows the syntactic entities that can be constructed from formal languages. A formal language can be thought of as identical to the set of its well-formed formulas. The set of well-formed formulas may be broadly divided into theorems and non-theorems.

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Word definition(s)

An idea, belief, method, or statement generally accepted as true or worthwhile without proof.

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Word origin

From Middle French théorème, from Late Latin theōrēma, from Ancient Greek θεώρημα (theṓrēma, “speculation, proposition to be proved”) (Euclid), from θεωρέω (theōréō, “I look at, view, consider, examine”), from θεωρός (theōrós, “spectator”), from θέα (théa, “a view”) + ὁράω (horáō, “I see, look”).

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Idioms and phrases

Pythagorean theorem

In mathematics, the Pythagorean theorem is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.

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Idioms and phrases

bayes' theorem

(statistics) a theorem describing how the conditional probability of a set of possible causes for a given observed event can be computed from knowledge of the probability of each cause and the conditional probability of the outcome of each cause.

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Idioms and phrases

Binomial theorem

A theorem giving the expansion of a binomial raised to a given power.The theorem which expresses the law of formation of any power of a binomial.

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Idioms and phrases

Negative theorem

A theorem which expresses the impossibility of any assertion.

Particular theorem

A theorem which extends only to a particular quantity.

Universal theorem

A theorem which extends to any quantity without restriction.

A Simple Proof of the Universal Theorem

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Pronunciations

  • Greek: /tʰe.ɔ̌ː.rɛː.ma/
  • English: /ˈθiː.ə.ɹəm/
  • French: \te.ɔ.ʁɛm\
  • Italian: /teoˈrɛma/
  • Spanish: teo'rɛma/
  • German: [ˌteoˈʁeːm]

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