theorem

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the·o·rem

(thē′ər-əm, thîr′əm)

1. An idea that has been demonstrated as true or is assumed to be so demonstrable.

2. Mathematics A proposition that has been or is to be proved on the basis of explicit assumptions.

[Late Latin theōrēma, from Greek, from theōrein, to look at, from theōros, spectator; see theory.]

American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

theorem

(ˈθɪərəm)

(Logic) maths logic a statement or formula that can be deduced from the axioms of a formal system by means of its rules of inference

[C16: from Late Latin theōrēma, from Greek: something to be viewed, from theōrein to view]

theorematic, theoremic, theorematical adj

ˌtheoreˈmatically adv

Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

the•o•rem

(ˈθi ər əm, ˈθɪər əm)

n.

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

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

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

4. an idea, method, or statement generally accepted as true or worthwhile without proof.

[1545–55; < Late Latin theōrēma < Greek theṓrēma spectacle, object of contemplation, theorem =theōrē-, variant s. of theōreîn to observe, derivative of theōrós person sent to consult an oracle, spectator + -ma resultative n. suffix]

the`o•re•mat′ic (-əˈmæt ɪk) adj.

the·o·rem

(thē′ər-əm, thîr′əm)

A mathematical statement whose truth can be proved on the basis of a given set of axioms or assumptions.

The American Heritage® Student Science Dictionary, Second Edition. Copyright © 2014 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

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Noun	1.	theorem - a proposition deducible from basic postulates binomial theorem - a theorem giving the expansion of a binomial raised to a given power proposition - (logic) a statement that affirms or denies something and is either true or false
	2.	theorem - an idea accepted as a demonstrable truth idea, thought - the content of cognition; the main thing you are thinking about; "it was not a good idea"; "the thought never entered my mind" 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

theorem

noun proposition, statement, formula, rule, principle, thesis, hypothesis, deduction, dictum He postulated a theorem and proved it.

Collins Thesaurus of the English Language – Complete and Unabridged 2nd Edition. 2002 © HarperCollins Publishers 1995, 2002

theorem

noun

A broad and basic rule or truth:

axiom, fundamental, law, principle, universal.

Translations

نَظَرِيَّه

teorém

læresætning

Theorem

théorème

elméleti tétel

setning

teorema

teorema

teorēma

teoréma

davateorem

定理法则

theorem

[ˈθɪərəm] N (Math) → teorema m

Collins Spanish Dictionary - Complete and Unabridged 8th Edition 2005 © William Collins Sons & Co. Ltd. 1971, 1988 © HarperCollins Publishers 1992, 1993, 1996, 1997, 2000, 2003, 2005

theorem

[ˈθiːərəm] n → théorème m

Collins English/French Electronic Resource. © HarperCollins Publishers 2005

theorem

n → Satz m (also Math), → Theorem nt (geh, spec)

Collins German Dictionary – Complete and Unabridged 7th Edition 2005. © William Collins Sons & Co. Ltd. 1980 © HarperCollins Publishers 1991, 1997, 1999, 2004, 2005, 2007

theorem

[ˈθɪərəm] n (Math) → teorema m

Collins Italian Dictionary 1st Edition © HarperCollins Publishers 1995

theorem

(ˈθiərəm) noun

especially in mathematics, something that has been or must be proved to be true by careful reasoning. a geometrical theorem.

References in classic literature ?

"Most decidedly," said he, "men are not equal, and I must beg my father to develop this theorem in the Chamber of Peers."

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Most people, in thinking about punishment, have had no more need to hide their vindictive impulses from themselves than they have had to hide the exponential theorem. Our impulses are not patent to a casual observation, but are only to be discovered by a scientific study of our actions, in the course of which we must regard ourselves as objectively as we should the motions of the planets or the chemical reactions of a new element.

View in context

At the age of twenty-one he wrote a treatise upon the Binomial Theorem, which has had a European vogue.

View in context

what I've got to do," said Tom, drawing Maggie toward him and showing her his theorem, while she pushed her hair behind her ears, and prepared herself to prove her capability of helping him in Euclid.

View in context

The theorem that the square of the diagonal is double the square of the side--that famous discovery of primitive mathematics, in honour of which the legendary Pythagoras is said to have sacrificed a hecatomb--is elicited from him.

View in context

It was gravely said by some of the prelates in the Council of Trent, where the doctrine of the Schoolmen bare great sway, that the Schoolmen were like astronomers, which did feign eccentrics and epicycles, and such engines of orbs, to save the phenomena; though they knew there were no such things; and in like manner, that the Schoolmen had framed a number of subtle and intricate axioms, and theorems, to save the practice of the church.

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The objects of geometrical inquiry are so entirely abstracted from those pursuits which stir up and put in motion the unruly passions of the human heart, that mankind, without difficulty, adopt not only the more simple theorems of the science, but even those abstruse paradoxes which, however they may appear susceptible of demonstration, are at variance with the natural conceptions which the mind, without the aid of philosophy, would be led to entertain upon the subject.

View in context

In [1], Florin Ambro introduced the notion of quasi-log varieties, which are now called quasi-log schemes, in order to establish the cone and contraction theorem for generalized log varieties.

On normalization of quasi-log canonical pairs

Chapters are devoted to the Bratteli-Vershik model, the Effros-Handelman-Shen theorem, the Bratelli-Elliott-Krieger theorem, measure theory, and the absorption theorem.

Cantor Minimal Systems

Discovering the implications of a theorem takes time.

The Pythagorean geometric gear

The Fundamental Theorem of Algebra states that every nonzero, single-variable, polynomial

Annular Bounds for the Zeros of a Polynomial

Changing the order of the integration valid under the condition given with the theorem, we obtain