DICT.TW Dictionary Taiwan
The·o·rem n.
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.
Bi·no·mi·al, a.
1. Consisting of two terms; pertaining to binomials; as, a binomial root.
2. Nat. Hist. Having two names; -- used of the system by which every animal and plant receives two names, the one indicating the genus, the other the species, to which it belongs.
Binomial theorem Alg., the theorem which expresses the law of formation of any power of a binomial.
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binomial theorem
n : a theorem giving the expansion of a binomial raised to a
given power