Category:Theorem

The"o*rem, n. Etym: [l. theorema, gr. théorème. See theory.]

1. That which is considered and established as a principle; hence, Sometimes, a rule. Not theories, but theorems (coleridge. By the theorems, which your polite and terser gallants practice, i Re-refine the court, and civilize their barbarous natures. Massinger.

2. (math.)

Defn: 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.

Defn: to formulate into a theorem.