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Irreducible   Listen
adjective
Irreducible  adj.  
1.
Incapable of being reduced, or brought into a different state; incapable of restoration to its proper or normal condition; as, an irreducible hernia.
2.
(Math.) Incapable of being reduced to a simpler form of expression; as, an irreducible formula.
Irreducible case (Alg.), a particular case in the solution of a cubic equation, in which the formula commonly employed contains an imaginary quantity, and therefore fails in its application.






Collaborative International Dictionary of English 0.48








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"Irreducible" Quotes from Famous Books



... explanations, after we have allowed for them in every possible way, there remains a conviction that behind these fascinating stories there is a certain irreducible remainder of actual fact. Individual historic figures, seen through the mists of time, walk before our eyes in the dawn. Long before history was written men lived and did striking deeds. Heroic memories and traditions of such distinguished men passed ...
— Among Famous Books • John Kelman

... myself to develop the theory of special relativity. Briefly, it discards absolute time and space and makes them in every instance relative to moving systems. By this theory all phenomena in electrodynamics, as well as mechanics, hitherto irreducible by the old formulae—and there are multitudes—were ...
— The Einstein Theory of Relativity • H.A. Lorentz

... belief. It is the effect which such a belief, with all its logical consequences, exerts on life, that is to say, on thought and conduct. . . . A formal and precise definition of Judaism is a matter of some difficulty, because it raises the question, What is the absolute and irreducible minimum of conformity? . . . Judaism denounces idolatry and polytheism. It believes in a universal God, but it is not exclusive. It believes that this world is good, and that man is capable of perfection. He possesses free will, ...
— The Menorah Journal, Volume 1, 1915 • Various

... temporary luxations, disarticulation is but momentary and spontaneous reposition always results; while a fixed luxation does not reduce spontaneously but remains luxated until reposition is effected by proper manipulation and treatment. Fixed luxation may be of such character as to be practically irreducible because of extensive damage done to ligaments or cartilage. Where a complete luxation of the metacarpophalangeal joint exists, it is probable that in most cases sufficient injury to collateral and capsular ligaments has been done to render complete recovery improbable, ...
— Lameness of the Horse - Veterinary Practitioners' Series, No. 1 • John Victor Lacroix

... a question, once more, of planes of convention. No doubt there is an irreducible minimum of convention in all drama; but how strange is the logic which leaps from that postulate to the assertion that, if we admit a minimum, we cannot, or ought not to, exclude a maximum! There are plays which do not, ...
— Play-Making - A Manual of Craftsmanship • William Archer

... placed by the law of specific heats on a separate footing from their known compounds. We are not, it is true, compelled by it to believe their atoms to be really and absolutely such—to contain, that is, the "irreducible minimum" of material substance; but we do certainly gather from it that they are composed on a different principle from the salts and oxides made and unmade at pleasure by chemists. Then the multiplication of the species of matter with which Lockyer's results ...
— A Popular History of Astronomy During the Nineteenth Century - Fourth Edition • Agnes M. (Agnes Mary) Clerke

... an amorphous heap of rubbish. Hampdens, Pyms, and Ship-money will be the theme of much constitutional eloquence, striving to be fervid;—which will glitter, if not as fire does, then as ice does: and the irreducible Cromwell will remain a chaotic mass of 'madness,' ...
— Sartor Resartus, and On Heroes, Hero-Worship, and the Heroic in History • Thomas Carlyle

... kinds or hernias that require notice, not all of which, however, produce serious symptoms or results. Abdominal hernias, or ruptures, are divided into reducible, irreducible, and strangulated, according to condition; and into inguinal, scrotal, ventral, umbilical, and diaphragmatic, according to their situation. A hernia is reducible when the displaced organ can be returned to its natural location. It ...
— Special Report on Diseases of the Horse • United States Department of Agriculture

... greater than those who should enquire concerning perhaps any other poet. In the formation of his verse, and the lifting up of a rude language, more than Dante himself, a creator! What wonder, then, if he should sometimes make mistakes, and that some inconsistencies remain at last irreducible? If the method undertaken draws the irreducible cases into a narrower and a narrower compass, that sufficiently justifies the theory of the method ...
— Blackwood's Edinburgh Magazine, Volume 57, No. 356, June, 1845 • Various

... proposition is unanimously negatived, until Mr. Jones, who is tilting his chair back, produces the desired effect by overbalancing himself in the middle of a comic medley, and causing a compound, comminuted, and irreducible fracture of three panes of glass by tumbling through them. Hereat, the harmony experiencing a temporary check, and all the half-and half having disappeared, Mr. Muff finds there is no great probability of getting any more, as the ...
— Punch, or the London Charivari, Volume 1, Complete • Various

... up because it is necessary for life; and which I know that I, at least so far as the man in me is deeper than the methodical thinker, cannot give up." But we know that many persons not only do not find an irreducible minimum of faith "necessary for life," but are highly indignant and contemptuous if any one else ventures to suggest the logical possibility of any ...
— Alfred Tennyson • Andrew Lang

... fighting for his faculties with all his will, the pilot turned to the screen. A ship! A strange, glistening thing streamlined to the nth degree, every spare corner rounded till the resistance was at the irreducible minimum. But, in the great pilotport of the stranger, the patrol pilot saw faces, and gasped in surprise as he saw them! Terrible faces, blotched, contorted. Patches of white skin, patches of brown, patches of black, blotched and twisted across the faces. Long, lean faces, great ...
— Invaders from the Infinite • John Wood Campbell

... us, it has emerged from that background, we cannot see it emerge; it is an ultimate fact, and is assumed in all that we can ever regard as its physical antecedents and presuppositions. In the same way, the moral consciousness is an ultimate fact, and irreducible. The physical theory of evolution must not be allowed to mislead us here, and in particular it must not be allowed to discredit the conception of moral responsibility for sin which is embodied in the story of the Fall. ...
— The Atonement and the Modern Mind • James Denney

... or of Man. To believe this is an act of faith, not of reason; though it is not contrary to reason, as no faith should be or long can be. Many men do not believe it, for many are not religious; others, while believing it, may believe also many other things. But it is the irreducible minimum of religion in the modern West, the justification of our life, the faith of our works. I call it the Religion of Time, and distinguish it thus from the Religion ...
— Appearances - Being Notes of Travel • Goldsworthy Lowes Dickinson

... hair-like legs, including the barnacles and acorn shells] ends; to establish by experiment the line of demarcation between intellect and instinct; to prove, by comparing facts in the zoological progression, whether human reason be an irreducible faculty or not: all this ought surely to take precedence of the number of joints in a Crustacean's antenna. These enormous questions would need an army of workers; and we have not one. The fashion is all for the Mollusk and the Zoophytes [plant-like sea animals, ...
— The Life of the Fly - With Which are Interspersed Some Chapters of Autobiography • J. Henri Fabre

... Whalley. Departed the opportunities which he would have known how to seize; and gone with them the white-winged flock of clippers that lived in the boisterous uncertain life of the winds, skimming big fortunes out of the foam of the sea. In a world that pared down the profits to an irreducible minimum, in a world that was able to count its disengaged tonnage twice over every day, and in which lean charters were snapped up by cable three months in advance, there were no chances of fortune for an individual wandering haphazard with a little ...
— End of the Tether • Joseph Conrad



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