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theorem - 8 dictionary results

the⋅o⋅rem

[thee-er-uhm, theer-uhm]
–noun
1. Mathematics. 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, belief, method, or statement generally accepted as true or worthwhile without proof.

Origin:
1545–55; < LL theōrēma < Gk therēma spectacle, hence, subject for contemplation, thesis (to be proved), equiv. to theōrē-, var. s. of theōreîn to view + -ma n. suffix


the⋅o⋅re⋅mat⋅ic [thee-er-uh-mat-ik, theer-uh-] , adjective
the⋅o⋅re⋅mat⋅i⋅cal⋅ly, adverb
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

The"o*rem\, n. [L. theorema, Gr. ? a sight, speculation, theory, theorem, fr. ? to look at, ? a spectator: cf. F. th['e]or[`e]me. See Theory.]

1. That which is considered and established as a principle; hence, sometimes, a rule.

Not theories, but theorems (?), the intelligible products of contemplation, intellectual objects in the mind, and of and for the mind exclusively. --Coleridge.

By the theorems, Which your polite and terser gallants practice, I re-refine the court, and civilize Their barbarous natures. --Massinger.

2. (Math.) A statement of a principle to be demonstrated.

Note: A theorem is something to be proved, and is thus distinguished from a problem, which is something to be solved. In analysis, the term is sometimes applied to a rule, especially a rule or statement of relations expressed in a formula or by symbols; as, the binomial theorem; Taylor's theorem. See the Note under Proposition, n., 5.

Binomial theorem. (Math.) See under Binomial.

Negative theorem, a theorem which expresses the impossibility of any assertion.

Particular theorem (Math.), a theorem which extends only to a particular quantity.

Theorem of Pappus. (Math.) See Centrobaric method, under Centrobaric.

Universal theorem (Math.), a theorem which extends to any quantity without restriction.

Theorem

The"o*rem\, v. t. To formulate into a theorem.
Language Translation for : theorem
Spanish: teorema,
German: das Theorem,
Japanese: 定理

theorem [(thee-uh-ruhm, theer-uhm)]

A statement in mathematics that is not a basic assumption, such as an axiom, but is deduced (see deduction) from basic assumptions.


theorem 
1551, from M.Fr. théorème, from L.L. theorema, from Gk. theorema "spectacle, speculation," in Euclid "proposition to be proved," from theorein "to consider" (see theory).

theorem the·o·rem (thē'ər-əm, thēr'əm)
n.

  1. An idea that is demonstrably true or is assumed to be so.
  2. A mathematical proposition that has been or is to be proved on the basis of explicit assumptions.

theorem   (thē'ər-əm, thîr'əm)  Pronunciation Key 
A mathematical statement whose truth can be proved on the basis of a given set of axioms or assumptions.
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