Free TranslationFree Translation
Synonyms, antonyms, pronunciation

  Home
English Dictionary      examples: 'day', 'get rid of', 'New York Bay'




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






Collaborative International Dictionary of English 0.48








Advanced search
     Find words:
Starting with
Ending with
Containing
Matching a pattern  

Synonyms
Antonyms
Quotes
Words linked to  

only single words



Share |





"Theorem" Quotes from Famous Books



... we are doing anything but guess, we are following out the method of the abstract science into minuter details; inserting among its hypotheses a fresh and still more complex combination of circumstances, and so adding pro hac vice a supplementary chapter or appendix, or at least a supplementary theorem, to the abstract science. ...
— Essays on some unsettled Questions of Political Economy • John Stuart Mill

... vegetable, animal, and mineral, I know the kings of England, and I quote the fights historical From Marathon to Waterloo, in order categorical; I'm very well acquainted, too, with matters mathematical, I understand equations, both the simple and quadratical, About binomial theorem I'm teeming with a lot o' news, With many cheerful facts about the square of ...
— The Complete Plays of Gilbert and Sullivan - The 14 Gilbert And Sullivan Plays • William Schwenk Gilbert and Arthur Sullivan

... soul its gods could see As years ago they seemed to me When first I painted them; Invested with the circumstance Of old conventional romance: Exploded theorem! ...
— The Bab Ballads • W. S. Gilbert

... evidences for it? If an obscure or doubtful point come to be debated, it will not bear an oath; it will be a strange madness to dare, a great folly to hope the persuading it thereby. What were more ridiculous than to swear the truth of a demonstrable theorem? What more vain than so to assert a disputable problem: oaths (like wagers) are in such cases no arguments, except silliness in the ...
— Sermons on Evil-Speaking • Isaac Barrow

... different from external fact is, indeed, hard to draw. In Pascal, for instance, in the persuasive writers generally, how difficult to define the point where, from time to time, argument which, if it is to be worth anything at all, must consist of facts or groups of facts, becomes a pleading—a theorem no longer, but essentially an appeal to the reader to catch the writer's spirit, to think with him, if one can or will—an expression no longer of fact but of his sense of it, his peculiar intuition of a world, ...
— Appreciations, with an Essay on Style • Walter Horatio Pater

... to whom geometry owes this magnificent theorem, had engraved on his tomb, as one of his proudest titles to fame, the generating spiral and its double, begotten of the unwinding of the thread. An inscription proclaimed, 'Eadem mutata resurgo: I rise again like unto myself.' Geometry would find it difficult ...
— The Life of the Spider • J. Henri Fabre

... baffled him for a time. However, he set to it again and again and before long mastered it. He threw himself heart and soul into mathematics, and very soon made some remarkable discoveries. First he discovered the binomial theorem: familiar now to all who have done any algebra, unintelligible to others, and therefore I say nothing about it. By the age of twenty-one or two he had begun his great mathematical discovery of infinite series and fluxions—now ...
— Pioneers of Science • Oliver Lodge

... you will agree with. Opposition wakes one up. The other road may be the better, but you will never know it unless you "give it the once over." Do not do all your thinking and investigating in front of given "Q.E.D.'s;" merely assembling reasons to fill in between your theorem and what you want to prove will get you nowhere. Approach each subject with an open mind and—once sure that you have thought it out thoroughly and honestly—have the courage to abide by the decision of your own thought. But don't brag ...
— The Art of Public Speaking • Dale Carnagey (AKA Dale Carnegie) and J. Berg Esenwein

... departed from the century-old custom of writing in parallel columns each theorem and its dual. He has not found that it conduces to sharpness of vision to try to focus his eyes on two things at once. Those who prefer the usual method of procedure can, of course, develop the two sets of theorems ...
— An Elementary Course in Synthetic Projective Geometry • Lehmer, Derrick Norman

... direction and the velocity of every atom of matter in the universe (including cerebral matter, i.e., the brain, which is a material thing) are strictly determined, it would not at all follow from the acceptance of this theorem that our mental life is subject to the same necessity. For that to be the case, we should have to show absolutely that a strictly determined psychical state corresponds to a definite cerebral state. This, as we have seen, has not ...
— Bergson and His Philosophy • J. Alexander Gunn



Words linked to "Theorem" :   Bayes' theorem, idea



Copyright © 2024 e-Free Translation.com