# theorem

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Related to Theorems: Sylow theorems

## the·o·rem

(thē′ər-əm, thîr′əm)
n.
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.]

## theorem

(ˈθɪərəm)
n
(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]

## 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·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.
ThesaurusAntonymsRelated WordsSynonymsLegend:
 Noun 1 theorem - a proposition deducible from basic postulatesbinomial theorem - a theorem giving the expansion of a binomial raised to a given powerproposition - (logic) a statement that affirms or denies something and is either true or false 2 theorem - an idea accepted as a demonstrable truthidea, 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 He postulated a theorem and proved it.

## theorem

noun
A broad and basic rule or truth:
Translations
نَظَرِيَّه
teorém
læresætning
elméleti tétel
setning
teorema
teorēma
teoréma
davateorem

## theorem

[ˈθɪərəm] N (Math) →

[ˈθiːərəm] n

## theorem

nSatz m (also Math), → Theorem nt (geh, spec)

## theorem

[ˈθɪərəm] n (Math) →

## 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 ?
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.
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.
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.
"Most decidedly," said he, "men are not equal, and I must beg my father to develop this theorem in the Chamber of Peers."
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.
At the age of twenty-one he wrote a treatise upon the Binomial Theorem, which has had a European vogue.
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.
By Theorems 14, 16, and 27 and the dominated convergence theorem, we have the following two theorems.
Samet  proved coupled fixed point theorems for a generalized Meir-Keeler contraction in partially ordered metric spaces.
By the theory of quasi-log schemes discussed in [7, Chapter 6] and Theorem 1.1, the fundamental theorems of the minimal model program hold for [Z, [v.sup.*][omega]].
They illustrate them with fundamental theorems such as Gromov's Theorem on groups of polynomial growth, Tits' Alternative Theorem, Mostow's Rigidity Theorem, Stallings' Theorem on ends of groups, and theorems of Tukia and Schwartz on quasi-isometric rigidity for lattices in real-hyperbolic spaces.
Recently, Dalal and Govil  unified the above theorems and proved the following theorem.

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