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Calculus   /kˈælkjələs/   Listen
Calculus

noun
(pl. calculi)
1.
A hard lump produced by the concretion of mineral salts; found in hollow organs or ducts of the body.  Synonym: concretion.
2.
An incrustation that forms on the teeth and gums.  Synonyms: tartar, tophus.
3.
The branch of mathematics that is concerned with limits and with the differentiation and integration of functions.  Synonym: infinitesimal calculus.



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"Calculus" Quotes from Famous Books



... before all these sciences, however, lies the great science of mathematics—the most powerful instrument the mind can employ in the investigation of natural law—and the science of mathematics must be divided into abstract mathematics or the calculus, and concrete mathematics embracing general geometry and rational mechanics. We have thus ...
— The World's Greatest Books—Volume 14—Philosophy and Economics • Various

... how it must be; but I suppose I ought to understand the differential calculus to compute it. Circles are wonderful things; and the science of curves holds almost everything. Rose, when do you think we shall ...
— We Girls: A Home Story • Mrs. A. D. T. Whitney

... strikingly set off by his upright posture and his large and flexible hand. But chiefly he is distinguished by his plastic brain, upon which depends his capacity to perform the complex mental activities—from administering a railroad to solving problems in calculus—which constitute man's ...
— Human Traits and their Social Significance • Irwin Edman

... by the lesson for the morrow, and Billy would promptly knock the ashes out of the pipe he was smoking contrary to regulations and lay aside the guitar on which he had been softly strumming—also contrary to regulations; would pick up the neglected calculus or mechanics; get interested in the work of explanation, and end by having learned the lesson in spite of himself. This was too good a joke to be kept a secret, and by the time the last year came Billy had found it all out and refused ...
— Starlight Ranch - and Other Stories of Army Life on the Frontier • Charles King

... and most of all in the Kabalah and in the Bible, is not sufficiently expressed by either the word "Geometry" or the word "Trigonometry." For that science includes these, with Arithmetic, and also with Algebra, Logarithms, the Integral and Differential Calculus; and by means of it are worked out the great problems of Astronomy or the ...
— Morals and Dogma of the Ancient and Accepted Scottish Rite of Freemasonry • Albert Pike

... used in figuring your return. Personally we employ trigonometry, altho many prefer calculus and a ...
— More Toasts • Marion Dix Mosher

... can't imagine marrying beneath you. You want a wife who's an intellectual equal. Your head is crammed full of ideas of comradeship. Stuff and nonsense, my boy! A man doesn't want to talk politics to his wife, and what do you think I care for Betty's views upon the Differential Calculus? A man wants a wife who can cook his dinner and look after his children. I've tried both and I know. Let's have ...
— Of Human Bondage • W. Somerset Maugham

... nomical calculations, and all the paraphernalia of specu- 209:27 lative theories, based on the hypothesis of material law or life and intelligence resident in matter, will ulti- mately vanish, swallowed up in the infinite calculus ...
— Science and Health With Key to the Scriptures • Mary Baker Eddy

... an increasing exponential function of time; we know from the differential calculus that these functions—which represent natural laws, laws of human nature, laws of the time-binding energies of man—are very remarkable functions—not only do they increase with time but their rates of increase are also exponential functions ...
— Manhood of Humanity. • Alfred Korzybski

... loveliness. When she rushed into my lonely rooms, one wild winter night, with a cradle in her arms and a baby in the cradle; when she besought me to teach that infant Hittite, Hebrew, and the Differential Calculus, and to bring it up in college, on commons (where the air is salubrious), what could I do but acquiesce? It is unusual, I know, for a student of my sex, however learned, to educate an infant in college and bring her up on commons. But for once the uncompromising nature of my ...
— HE • Andrew Lang

... justifies. For the masses of the people the whole question of cosmical development resolves itself into "a balancing of authorities;" they are not in a position to verify the reasonings for and against this theory by actual observation of astral phenomena, and the application of mathematical calculus; they are, therefore, guided by balancing in their own minds the statements of the distinguished astronomers who, by the united suffrages of the scientific world, are regarded as "authorities." For us, at present, ...
— Christianity and Greek Philosophy • Benjamin Franklin Cocker

... a necessity laid upon us as human beings to limit our view. In mathematics we know how this method of ignoring and neglecting quantities lying outside of a certain range has been adopted in the differential calculus. The calculator throws out all the 'infinitesimals' of the quantities he is considering. He treats them (under certain rules) as if they did not exist. In themselves they exist perfectly all the while; but they are as if they ...
— The Will to Believe - and Other Essays in Popular Philosophy • William James

... seeking to solve the problem called 'the problem of the three bodies,' for which the integral calculus is ...
— The Moon-Voyage • Jules Verne

... romance. It is an elaborate and lucid exposition of the principles which lie at the foundation of pure mathematics, with a highly ingenious application of their results to the development of the essential idea of Arithmetic, Geometry, Algebra, Analytic Geometry, and the Differential and Integral Calculus. The work is preceded by a general view of the subject of Logic, mainly drawn from the writings of Archbishop Whately and Mr. Mill, and closes with an essay on the utility of mathematics. Some occasional exaggerations, in presenting the claims of the science ...
— Harper's New Monthly Magazine, Volume 1, No. 3, August, 1850. • Various

... 22, 1852. Attend upon my aged mother. She passed a calculus or stone from the bladder to-day weighing seven ounces and two and one-half drachms. Its greatest circumference is nine inches. A very wonderful ...
— Life and Labors of Elder John Kline, the Martyr Missionary - Collated from his Diary by Benjamin Funk • John Kline

... well, or the far end of a telescope. Sainte-Beuve, as he grew older, came to regard all experience as a single great book, in which to study for a few years ere we go hence; and it seemed all one to him whether you should read in Chapter xx., which is the differential calculus, or in Chapter xxxix., which is hearing the band play in the gardens. As a matter of fact, an intelligent person, looking out of his eyes and hearkening in his ears, with a smile on his face all the time, will get more true education than many another in a life of heroic ...
— The Works of Robert Louis Stevenson - Swanston Edition - Vol. 2 (of 25) • Robert Louis Stevenson

... stung to the quick by his brother's words; "I don't understand. If they'd told me at college that other people understood the integral calculus, and I didn't, then pride would have come in. But in this case one wants first to be convinced that one has certain qualifications for this sort of business, and especially that all this business ...
— Anna Karenina • Leo Tolstoy

... laboured, not without success, to leave behind him his own impress on the way in which they should be dealt with. Dr. Hampden, the man in Oxford best acquainted with Aristotle's works and with the scholastic philosophy, had thrown Christian doctrines into a philosophical calculus which seemed to leave them little better than the inventions of men. On the other hand, a brilliant scholar, whose after-career was strangely full of great successes and deplorable disasters, William Sewell of Exeter ...
— The Oxford Movement - Twelve Years, 1833-1845 • R.W. Church

... demonstrated system of the universe, that of Newton.[3101] Around this capital fact, almost all the discoveries of the century, either as complementary or as prolongations, range themselves. In pure mathematics we have the Infinitesimal Calculus discovered simultaneously by Leibnitz and Newton, mechanics reduced by d'Alembert to a single theorem, and that superb collection of theories which, elaborated by the Bernouillis, Euler, Clairaut, d'Alembert, Taylor and Maclaurin, ...
— The Origins of Contemporary France, Volume 1 (of 6) - The Ancient Regime • Hippolyte A. Taine

... of the Gullet, Stomach, and Intestines: Tetanus; Enteritis; Peritonitis; Colic; Calculus in the Intestines; Intussusception; Diarrhoea; Dysentery; Costiveness; Dropsy; the Liver; Jaundice; the Spleen and Pancreas; Inflammation of the Kidney; Calculus; Inflammation of the Bladder; Rupture of the Bladder; Worms; ...
— The Dog - A nineteenth-century dog-lovers' manual, - a combination of the essential and the esoteric. • William Youatt

... her limited experience. But when a mere emotion assumed the importance and the reality of a solid body, she was seized by the indignant astonishment with which a mathematician might regard the differential calculus if it ceased suddenly to behave as he expected it to do. She had always controlled her own feeling with severity, and it was beyond the power of her imagination to conceive a possible excuse—unless it was a disordered liver—for another person's ...
— The Miller Of Old Church • Ellen Glasgow

... can explain our friend's high intellectual mobility. Attempts to correlate statesmanship, which they regard with interest as a dramatic interplay of personalities, with any secular movement of humanity, they class with the differential calculus and Darwinism, as things far too difficult to be anything but finally and ...
— A Modern Utopia • H. G. Wells

... in the mastery of addition but the beginning of subtraction, and so on through multiplication and division and fractions, with the black cloud of algebra on the horizon. And if a boy rushes through all that, there is always the calculus to fall back on, unless indeed you insist on his learning music, and proceed to hit him if he cannot tell you ...
— A Treatise on Parents and Children • George Bernard Shaw

... movements of the heavenly bodies. In the course of the century which had elapsed between the time of Newton and the time of Laplace, mathematics had been extensively developed. In particular, that potent instrument called the infinitesimal calculus, which Newton had invented for the investigation of nature, had become so far perfected that Laplace, when he attempted to unravel the movements of the heavenly bodies, found himself provided with a calculus far more ...
— Great Astronomers • R. S. Ball

... "analytical" and the crisis came with calculus, and to the boy's bitter sorrow, after having been turned back one year on the former and failing utterly on the latter, the verdict of the Academic Board went dead against him, and stout old soldiers thereon cast their ...
— Ray's Daughter - A Story of Manila • Charles King

... Aristotle, and makes us aware of the debt which the world owes to him or his school. It also bears a resemblance to some modern speculations, in which an attempt is made to narrow language in such a manner that number and figure may be made a calculus of thought. It exaggerates one side of logic and forgets the rest. It has the appearance of a mathematical process; the inventor of it delights, as mathematicians do, in eliciting or discovering an unexpected result. It also helps to guard ...
— Parmenides • Plato

... style, simple in his thoughts. No waters in him turbid with new crystalizations; everywhere the eye can see to the bottom. No music in him dark with Cassandra meanings. Fox, indeed, disturb decent gentlemen by 'allusions to all the sciences, from the integral calculus and metaphysics to navigation!' Fox would have seen you hanged first. Burke, on the other hand, did all that, and other wickedness besides, which fills an 8vo page in Schlosser; and Schlosser crowns ...
— The Notebook of an English Opium-Eater • Thomas de Quincey

... in importance by leading indirectly to a theorem of which it is only one particular case—a theorem with a more definite proof, and a larger capability for use than he had thought possible. When he finds a still simpler proof for the binomial theorem in his study of the calculus, his feeling of increasing power and the desire for still greater results deepens and intensifies. Were he to find, on the contrary, that from a false notion of the means to be used in making a thing simple, his teacher in arithmetic had taught him what is false, we should ...
— Scientific American Supplement, No. 286 - June 25, 1881 • Various

... said of him, that "Laplace looked at no question in its true point of view. He was always searching after subtleties; all his ideas were problems, and he carried the spirit of the infinitesimal calculus into the management of business." But Laplace's habits had been formed in the study, and he was too old to adapt them to ...
— Character • Samuel Smiles



Words linked to "Calculus" :   math, encrustation, nephrolith, incrustation, rock, stone, enterolith, gallstone, bilestone, calculate, ptyalith, kidney stone, maths, urolith, crust, bladder stone, calculous, mathematics, cystolith, method of fluxions, pure mathematics, analysis, sialolith



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