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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



... will not be kept alive for long by forcing young men with perhaps a taste for science or the integral calculus to apply themselves to the study of Aristotle or Sophocles. The real hope for the humanities in the future lies in the teaching of such men as Butcher, Verrall, Gilbert Murray, Dill, Bevan, Livingstone, Zimmern, and, it may fortunately be said, many others, who can make the literature ...
— Political and Literary essays, 1908-1913 • Evelyn Baring

... be necessary to sacrifice math entirely. You can elect analytics and calculus to balance the lit ...
— Beatrice Leigh at College - A Story for Girls • Julia Augusta Schwartz

... idea to suppose that everybody is competent to learn or to teach everything. Would our great artists have succeeded equally well in Greek or calculus? A smattering of everything is worth little. It is a fallacy to suppose that an encyclopaedic knowledge is desirable. The mind is made strong, not through much learning, but by the thorough possession ...
— Louis Agassiz as a Teacher • Lane Cooper

... rock, bowlder; pebble; calculus, concretion; flint, granite, marble, quartz, adamant, shale, flag, flagstone, cobblestone, rubble, brash, shingle; monolith, polyolith; cairn, muller, merestone; cromlech; madstone, snakestone; aerolite, meteorite; (of ...
— Putnam's Word Book • Louis A. Flemming

... distances, and revolution of the celestial bodies, are of no real importance.... Material substances, astronomical calculations, and all the paraphernalia of speculative theories ... will ultimately vanish, swallowed up in the infinite calculus of spirit." "Earthquake, wind, wave, lightning, fire, bestial ferocity" are merely the "vapid fury of mortal mind." "Heat and cold are products of mind"—even a "mill at work, or the action of a water wheel," is only a manifestation of "mortal mind force." Apart from mortal ...
— McClure's Magazine, Vol 31, No 2, June 1908 • Various

... beyond their mere verbal statement into formulae, into tabular and graphic presentments, and thus not only acquire greater clearness of statement, but become more and more active agencies of inquiry—in fact, become literal thinking-machines. But while the mathematician has his notations and his calculus, the geographer and geologist their maps, reliefs and sections, the naturalist his orderly classificatory methods, it has been the misfortune and delay of political economy, and no small cause of that "notorious ...
— Civics: as Applied Sociology • Patrick Geddes

... he's gotten out of a book, and he'd have to do some thinking for himself. He wouldn't like that. But you have to admit he's been fighting the idea, intellectually and emotionally, right from the start. Why, they could sit down with pencils and slide rules and start working differential calculus and it wouldn't ...
— Little Fuzzy • Henry Beam Piper

... am next told that the same line of proof would show "that the stature of a man or boy was identical, because the boy passes through every gradation on attaining the one stature from the other. No one could maintain such a position who grasped the doctrines of continuity and of the differential calculus." It seems to me that even without the help of the differential calculus, we can, with the help of logic and grammar, put a stop to this argument. Boy is the subject, stature looks like a subject, but is merely a predicate, and should have been treated ...
— Chips from a German Workshop - Volume IV - Essays chiefly on the Science of Language • Max Muller

... of that, and it will prophesy no longer; it looks not into the eyes, it judges not by the voice, it describes not by outward features; all that it affirms, judges, or describes, it affirms from within. There is no reasoning in it; it works not by algebra nor by integral calculus; it is a piercing Pholas-like mind's tongue that works and tastes into the very rock-heart; no matter what be the subject submitted to it, substance or spirit, all is alike divided asunder, joint and marrow; ...
— The Continental Monthly, Vol. IV. October, 1863, No. IV. - Devoted to Literature and National Policy. • Various

... astonishment at the gymnastic quality of the performance, and only astonishment when her lovely voice set the very walls of the little room to vibrating with a dramatic love song that was about as intelligible to them as a problem in calculus, and June flushed and then smiled with quick understanding at the dry comment that rose ...
— The Trail of the Lonesome Pine • John Fox, Jr.

... Numeration. — N. numeration; numbering &c. v.; pagination; tale, recension[obs3], enumeration, summation, reckoning, computation, supputation[obs3]; calculation, calculus; algorithm, algorism[obs3], rhabdology[obs3], dactylonomy[obs3]; measurement &c. 466; statistics. arithmetic, analysis, algebra, geometry, analytical geometry, fluxions[obs3]; differential calculus, integral calculus, infinitesimal calculus; ...
— Roget's Thesaurus

... padumas, Which last is how you count the utmost grains Of Hastagiri ground to finest dust; But beyond that a numeration is, The Katha, used to count the stars of night; The Koti-Katha, for the ocean drops; Ingga, the calculus of circulars; Sarvanikchepa, by the which you deal With all the sands of Gunga, till we come To Antah-Kalpas, where the unit is The sands of ten crore Gungas. If one seeks More comprehensive scale, th' arithmic ...
— The Light of Asia • Sir Edwin Arnold

... an hour or two. What is it, after all, the small delay you can produce? The click of a few more seconds in the clock-work, before the hammer smites its angry warning on the bell, and leaves echoes of pain writhing through the poor bronze, that is Time. As for Eternity, it is a question of the calculus, and does not enter into a singer's first appearance, nor into the recognition of a lover. If it did, I would give you an eloquent dissertation upon it, so that you would yawn and take snuff, and wish me carried off by the diavolo to some place where I might lecture on the infinite ...
— A Roman Singer • F. Marion Crawford

... such a psalm. It opened out no heart before its own vision. It neither created nor deepened nor satisfied a single desire. It might as well have been a disquisition on the fate of the lost ten tribes of Israel, or a treatise on the properties of the differential calculus, or a discussion of the politics of the planet Mars for any application it had to the need of any one person, young or old, in the congregation sitting there and providing that example of patience which was the most ...
— The Message and the Man: - Some Essentials of Effective Preaching • J. Dodd Jackson

... find out the truth from a tissue of lies and deceit. All the time, moreover, they are thinking of their cloth and their leather, and longing to be at home; and they have absolutely no clear notion at all of the distinction between probability and certainty. It is with this sort of a calculus of probabilities in their stupid heads that they confidently undertake ...
— The Essays Of Arthur Schopenhauer • Arthur Schopenhauer

... thought that what some people call the 'philosophy of the nineteenth century,' is nothing after all but the unconscious application of transcendental analysis to the everyday affairs of life. Consider the theories of Darwin, for instance. What are they but an elaborate application of the higher calculus? He differentiates men into protoplasms, and integrates protoplasms into monkeys, and shows the caudal appendage to be the independent variable, a small factor in man, a large factor in monkey. And has not the idea of successive development supplanted the early ...
— Mr. Isaacs • F. Marion Crawford

... caught. They are not music any more than the alphabet is literature. Unfortunately, our system of musical symbols and the keyboard itself are very complex. For the young child it is as difficult as are Calculus and Algebra for his older brother. As a matter of fact, the keys of F sharp, B, and D flat major, etc., are only difficult because fate has made them so. It would have served the musical purpose just as well if the pitch of the instruments ...
— Great Pianists on Piano Playing • James Francis Cooke

... showed her remarkable muscular strength and skill in managing herself in the accomplishment of feats which looked impossible at first sight. How often The Terror had thought to herself that she would gladly give up all her knowledge of Greek and the differential and integral calculus if she could only perform the least of those feats which were mere play to The Wonder! Miss Euthymia was not behind the rest in her attainments in classical or mathematical knowledge, and she was one of the very best ...
— The Autocrat of the Breakfast-Table • Oliver Wendell Holmes, Sr. (The Physician and Poet not the Jurist)

... —Hence any calculus of the Chances of Peace will be a reckoning of forces which may be counted on to keep a patriotic nation in an unstable ...
— An Inquiry Into The Nature Of Peace And The Terms Of Its Perpetuation • Thorstein Veblen

... finite senses, and he grasped at Kant's discovery of the difference between Understanding and Reason, in order to retire upon a metaphysical basis of religion and morality, and to withstand the prudential calculus. We are inclined to suggest that Mr. Stephen, who does little more than glance at Coleridge's position, has underestimated his influence upon the intellectual direction of politics in the first half of this century. Coleridge certainly provided an antidote to the crudity of eager Radicalism ...
— Studies in Literature and History • Sir Alfred Comyn Lyall

... Endbury's two-for-a-cent society, but, for the Lord's sake, why do they make such a howling and yelling just at the tree when Lydia's got the tragically important question to decide as to whether that's what she wants? It's like expecting her to do a problem in calculus in the ...
— Quit Your Worrying! • George Wharton James

... Analytical Geometry and of the Differential and Integral Calculus. By Charles Davies, LL.D., Professor of Higher Mathematics, Columbia College. New York. Barnes & ...
— Atlantic Monthly Volume 6, No. 34, August, 1860 • Various

... 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

... my betters to pull to pieces and rewrite at the Foreign Office; but I had never seen a brief, and my memories of Gaius, Justinian, Williams's "Real Property," and Austin's "Jurisprudence," were as nebulous as those of the Differential Calculus over whose facetiae I had pondered during my schooldays. The law was as closed to me as medicine. I had no profession. I therefore drifted into the one pursuit for which my training had qualified me, namely, political journalism. I had written much, in my amateur way, ...
— Simon the Jester • William J. Locke

... Wimblehurst were on the whole laborious, uneventful years that began in short jackets and left me in many ways nearly a man, years so uneventful that the Calculus of Variations is associated with one winter, and an examination in Physics for Science and Art department Honours marks an epoch. Many divergent impulses stirred within me, but the master impulse was a grave young disposition to work ...
— Tono Bungay • H. G. Wells

... with might and main into conic sections and the calculus: a hard battle, if ever there was one, without guides or counselors, face to face for days on end with the abstruse problem which my stubborn thinking at last stripped of its mysteries. Next came the physical sciences, ...
— The Life of the Fly - With Which are Interspersed Some Chapters of Autobiography • J. Henri Fabre

... Clarke observed thoughtfully. "I can very well conceive of a lecherous text-book of the calculus, or of a reporter's story of a picnic in which burnt, under the surface, undiscoverable, save to the initiate, the tragic passion of ...
— The House of the Vampire • George Sylvester Viereck

... that calculus, the important thing is that Scott, like Miss Austen, at once opened an immense new field to the novelist, and showed how that field was to be cultivated. The complement-contrast of the pair can need emphasising ...
— The English Novel • George Saintsbury

... 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. ...
— Life and Labors of Elder John Kline, the Martyr Missionary - Collated from his Diary by Benjamin Funk • John Kline

... nor individuals, have the time, or will, resolutely to neglect anybody. What pleases us, we admire and further: if a man in any profession, calling, or art, does things which are beyond us, we are as guiltless of neglecting him as the Caffres are of neglecting the differential calculus. Milton sells his "Paradise Lost" for ten pounds; there is no record of Shakespeare dining much with Queen Elizabeth. And it is Utopian to imagine that statues will be set up to right ...
— Friends in Council (First Series) • Sir Arthur Helps

... of the classification of quantities. I shall only mention the name of that important class of magnitudes having direction in space which Hamilton has called vectors, and which form the subject-matter of the Calculus of Quaternions, a branch of mathematics which, when it shall have been thoroughly understood by men of the illustrative type, and clothed by them with physical imagery, will become, perhaps under some new name, a most powerful method ...
— Five of Maxwell's Papers • James Clerk Maxwell

... till to-day there are thousands of artisans to every artist. We have an abundance of stone masons, but few Phidiases or Angelos; hundreds of organ grinders, but few Beethovens or Webers or Bachs; a full quota of men engrossed in the cold calculus of business, but a scarcity of ...
— A Fleece of Gold - Five Lessons from the Fable of Jason and the Golden Fleece • Charles Stewart Given

... 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; ...
— The Dog - A nineteenth-century dog-lovers' manual, - a combination of the essential and the esoteric. • William Youatt

... incalculable. A man gets no nearer to God through a telescope than through a microscope, and no nearer through either than through the naked eye. Who cannot recognize the divine spirit in the hourly phenomena of nature and of his own mind will not be helped by the differential calculus, or any magnitude or arrangement of ...
— Essays AEsthetical • George Calvert

... longer with this. In spite of it all, the volume on mathematics is full of profound thoughts, and will be very suggestive to those who take up the subject after M. Comte. What deep meaning there is, for example, in the idea that the infinitesimal calculus is a conception analogous to the corpuscular hypothesis in physics; which last M. Comte has always considered as a logical artifice; not an opinion respecting matters of fact. The assimilation, as it seems to us, throws a flood of light on both conceptions; on the physical ...
— Auguste Comte and Positivism • John-Stuart Mill

... a High School Alumnus had gone to a Varsity and scaled the fearsome heights of Integral and Differential Calculus, he came home to get some more of Father's Shirts and Handkerchiefs and take a new Slant at Life's doubtful Vista, while getting his ...
— Ade's Fables • George Ade

... He belonged to a very long-lived race, his father having attained the age of ninety-three, and his grandfather eighty-seven. He himself died at Paris on the 15th of April 1788, at the age of eighty-one, of vesical calculus, having refused to allow any operation for his relief. He left one son, George Louis Marie Leclerc Buffon, who was an officer in the French army, and who died by the guillotine, at the age of thirty, on the 10th of July 1793 (22 Messidor, An II.), ...
— Encyclopaedia Britannica, 11th Edition, Volume 4, Part 3 - "Brescia" to "Bulgaria" • Various

... 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 ...
— A Modern Utopia • H. G. Wells

... the differential calculus, sir, and then Mr. Merton said that I had better stick to the mechanical application of mathematics instead of going on any farther; ...
— Facing Death - The Hero of the Vaughan Pit. A Tale of the Coal Mines • G. A. Henty

... be equally versed in Law, Physic, and Divinity, to sport with trigonometry, and to amuse his lighter moments with the differential calculus. But "this knowledge was too wonderful for him, he could not attain unto it," and to avoid confession of defeat, he fled with lightning speed. This erudite doctor is well known in England, especially among ...
— Ireland as It Is - And as It Would be Under Home Rule • Robert John Buckley (AKA R.J.B.)

... appear, for example, that pyogenic organisms can pass through the healthy urinary tract without doing any damage, but if the pelvis of the kidney, the ureter, or the bladder is the seat of stone, they give rise to suppuration. Similarly, a calculus in one of the salivary ducts frequently results in an abscess forming in the floor of the mouth. When the lumen of a tubular organ, such as the appendix or the Fallopian tube is blocked also, the action of pyogenic organisms is favoured and ...
— Manual of Surgery - Volume First: General Surgery. Sixth Edition. • Alexis Thomson and Alexander Miles

... given space with waxen cells with the least loss of room and expenditure of material, arrives by intuition and instantaneously at a solution which Newton himself was ignorant of, and to which, but for his discovery of the fluxional calculus, it would have been impossible for his follower, Maclaurin, to attain. And, doubtless, it may excusably be deemed supernatural that the insect should adopt off-hand precisely that six-sided figure, and precisely that inclination ...
— Old-Fashioned Ethics and Common-Sense Metaphysics - With Some of Their Applications • William Thomas Thornton

... His "calculus of probabilities" had not failed him. He had not walked far upon the forest-shaded banks of the river before he saw Marian walking before him. He hastened and ...
— The Missing Bride • Mrs. E. D. E. N. Southworth

... forged or genuine. Probably he could not level himself to such petty problems. He was like the senior wrangler who has forgotten how to do quadratics, and has to solve equations of the second degree by the calculus. ...
— The Big Bow Mystery • I. Zangwill

... education had not proceeded to calculus, and her trig was too far behind her for quick recollection ...
— The Right Time • Walter Bupp

... 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 the ...
— Of Human Bondage • W. Somerset Maugham

... good dinner to-day and a bad toothache yesterday, and a family affliction or blessing the day before. But he is as incapable of summing up his impressions as an infant of performing an operation in the differential calculus. It is as rare as it is refreshing to find a man who can stand on his own legs and be conscious of his own feelings, who is sturdy enough to react as well as to transmit action, and lofty enough to raise himself ...
— Hours in a Library - New Edition, with Additions. Vol. II (of 3) • Leslie Stephen

... Emanuel. No modern ever knew half so much, or knew it so oddly, as Swedenborg; and no one ever wrote so immensely on questions so varied and intractable. He knew something about everything, from toe nails to the differential and integral calculus, from iron smelting to star cycles, and in reading his works you might almost fancy, so familiar does he appear to be with spirits, that he had a quotidian nod from Michael and a daily "How are you, old boy?" from Gabriel. Emerson ...
— Our Churches and Chapels • Atticus

... occur from mere chance, or from the force of circumstances! Unwilling to hurt his vanity by telling him that he was mistaken, I took the wild resolution of informing him, in the presence of his two friends, that I possessed a certain numeral calculus which gave answers (also in numbers), to any questions I ...
— The Memoires of Casanova, Complete • Jacques Casanova de Seingalt

... 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 interesting facts about the square of the hypotenuse, I'm very good at integral and differential calculus, I know the scientific names of beings animalculous. In short, in matters vegetable, animal, and mineral, I am the very ...
— Songs of a Savoyard • W. S. Gilbert

... arisen as historians. Faraday was one of the chief lights of science. Sir John Herschel occupied his father's post among the stars. Beautiful modest Mary Somerville showed what a woman might do with the Differential Calculus; Brewster had taken the place of Sir Humphry Davy. Murchison was anticipating Robert Dick and Hugh Miller in geology. Alfred Tennyson had already published two volumes of poems; Browning had given to the world his "Paracelsus," and this very year (1837) his Strafford ...
— Life of Her Most Gracious Majesty the Queen V.1. • Sarah Tytler

... the laboratory. Devin was there working over the calculus machines, and Kendall called him angrily. Then more apologetic, he explained it was anger at himself. "Devin, I'm going to make that thing, if it blows up and kills me. I'm going to make that thing if this whole fort blows up and kills me. That math has blown up ...
— The Ultimate Weapon • John Wood Campbell

... constitutes an epoch in the history of the mathematical sciences. Two years previously, Cavalieri's work on Indivisibles had appeared. This method was improved by Torricelli and others. The way was now open, for the development of the Infinitesimal Calculus, the method of Fluxions of Newton, and the Differential and Integral Calculus of Leibnitz. Though in his possession many years previously, Newton published nothing on Fluxions until 1704; the imperfect notation he employed retarded very much the application of ...
— History of the Conflict Between Religion and Science • John William Draper

... tell you that I have got an uncommon calculus aegogropila, taken out of the stomach of a fat ox; it is perfectly round, and about the size of a large Seville orange; such are, ...
— The Natural History of Selborne • Gilbert White

... Mr. Oldright, of whose methods and pronunciation my memory gives me a most favorable impression. I now got Cobbett's French Grammar, probably a much less commendable book than his English one. I had never yet fathomed the mysteries of analytic geometry or the calculus, and so got Davies' books on those subjects. That on the calculus was perhaps the worst that could be put into the hands of a person situated as I was. Two volumes of Bezout's Mathematics, in French, about a century old, were, I think, rather better. Say's Political ...
— The Reminiscences of an Astronomer • Simon Newcomb

... chemistry. Two years before the beginning of the Thirty Years War, John Napier, a Scotchman, had published his little book which described the new invention of logarithms. During the war it-self, Gottfried Leibnitz of Leipzig had perfected the system of infinitesimal calculus. Eight years before the peace of Westphalia, Newton, the great English natural philosopher, was born, and in that same year Galileo, the Italian astronomer, died. Meanwhile the Thirty Years War had destroyed the prosperity of central Europe and there was a sudden but very general interest in "alchemy," ...
— The Story of Mankind • Hendrik van Loon

... missed again, and he felt cold. He shivered. Hell or heaven weren't like this, either. It was like something out of some picture—something about Cagliostro, the ancient mystic. But he was sure the language he somehow spoke wasn't an ancient one. It had words for electron, penicillin and calculus, for he found ...
— The Sky Is Falling • Lester del Rey

... over one another? Living in a world of their own, where delusions pass for palpable facts, where the logical faculty accepts the wildest visions as of equal significance with actual realities, these dreamers have a calculus of their own which includes the symbols in use among the sane, but comprehends besides a notation which these latter attach no meaning to, reject, ...
— The Coming of the Friars • Augustus Jessopp

... required was that it should be prepared artistically; and he maintained that the art of cookery consisted in exciting the taste. He used to say, "to excite a stomach of Papier Mache, and enliven vital powers almost ready to depart, a cook needs more talent than he who has solved the INFINTESIMAL CALCULUS." ...
— The Physiology of Taste • Brillat Savarin

... work in anticipation. To marry and settle down—she was not ready. It would be so good to be independent. And now—But it was too late. That was years ago. Hermann must have found some yellow-braided, blue-eyed Dorothea by this—some Maedchen who cared not for calculus and Hebrew, but only to be what her mother had been, wife and house-mother. But this was treason. Our ...
— A Reversion To Type • Josephine Daskam

... gone he talked matters over with Patali, while she stroked his aching head. Whoever knows the mind of the Indian dancing girl could reason out the calculus of treason. They are capable of treachery and loyalty to several sides at once; of sale of their affections to the highest bidder, and of death beside the buyer in his last extremity, having sold his life to ...
— Guns of the Gods • Talbot Mundy

... 'What shall we do with our boys?' was the heading that one saw every day, somewhere or other. What, indeed! No one ventured to say that they had better go back to their trade; no one ventured to point out that a man might be a good cabinet-maker although he knew the Integral Calculus. If one timidly asked what good purpose was gained by making so many scholars, that man was called Philistine, first; obstructive, next; and other stronger names afterward. And yet no one ventured to ...
— As We Are and As We May Be • Sir Walter Besant

... 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 Works of Robert Louis Stevenson - Swanston Edition - Vol. 2 (of 25) • Robert Louis Stevenson

... certainly this Praxagorean system of mathematics is a fascinating study." And promptly she commenced to plan Jurgen's return with her into Philistia, so that she might perfect herself in the higher branches of mathematics. "For you must teach me calculus and geometry and all other sciences in which these digits are employed. We can arrange some compromise with the priests. That is always possible with the priests of Philistia, and indeed the priests of Sesphra can be made to help anybody in anything. And as for your Hamadryad, I will ...
— Jurgen - A Comedy of Justice • James Branch Cabell

... that by that time children will learn the differential calculus—as they learn now to speak—from their mothers and nurses, or that they may talk in the hypothetical language, and work rule of three sums, as soon as they are born; but this is not probable; we cannot calculate on any corresponding advance in man's intellectual or physical ...
— Erewhon • Samuel Butler

... when he was hardly twenty-one, he published a work entitled, "A Collection of Examples of the Application of the Calculus to Finite Differences." To our young readers such a title will convey no meaning; and we refer to it here only to illustrate the industry and careful thought of the young student, which had rendered possible ...
— The Story of the Herschels • Anonymous

... cow-paths of the pasture lot, this moving only at a measured pace of twenty-eight inches, and one hundred and ten to the minute, and all in strict unison with the step of the guide on the marching flank or at the head of column, came ten times harder than ever did the pages of 'analytical' or the calculus. ...
— Boys' Book of Famous Soldiers • J. Walker McSpadden

... murdered him? It is the body of my brother," and the old man gave a lugubrious sigh. "He was the first sworn-in priest; and this was the only asylum where he was safe against the fury of the Chouans and the other priests. He was my elder brother, and he alone had the patience to each me the decimal calculus. Oh! he was a good priest! He was economical and laid by money. It is four years since he died; I don't know what was the matter with him; perhaps it was that priests are so in the habit of kneeling down to pray that he couldn't get accustomed to standing upright here as ...
— The Chouans • Honore de Balzac

... urethra and bladder is surrounded for at least an inch of its course by the prostate; and thus the knife, gorget, or finger, which, guided by the instrument in the urethra, is intended to cut or dilate the entrance to the bladder for the purpose of allowing the calculus to be removed, cannot do this without also cutting or dilating this prostate gland. Experience has proved that much of the success of the operation depends upon the position and amount of incision made in this prostate ...
— A Manual of the Operations of Surgery - For the Use of Senior Students, House Surgeons, and Junior Practitioners • Joseph Bell

... proceed on the assumption that they can obtain data upon which to proceed with confidence in that undertaking, as an architect or engineer would obtain data and apply his devices to a task in his art, a fallacy is included which is radical and mischievous beyond measure. We have, as yet, no calculus for the variable elements which enter into social problems and no analysis which can unravel their complications. The discussions always reveal the dominion of the prepossessions in the minds of the ...
— Folkways - A Study of the Sociological Importance of Usages, Manners, Customs, Mores, and Morals • William Graham Sumner

... smiling, placid countenance, my brother with a black scowl on his face, and gaining his room, he would hurl his books down and protest in violent language that the O'Keefe was a perfect fraud, that he knew as much of the infinitesimal calculus as a gaucho on horseback or a wild Indian. Then, beginning to see it in a humorous light, he would shout with laughter at the priest's pretentions to know anything, and would say he was only fit to teach babies just out of the cradle to say their ABC. He only wished the priest had also pretended ...
— Far Away and Long Ago • W. H. Hudson

... asserted that certain diseases, not necessarily causing death, are caused by hard water, as calculus, cancer, goiter, and cretinism; but, as already pointed out in Chapter II, no satisfactory proof has ever been established. One must conclude that within reasonable limits there is little to choose between a hard and ...
— Rural Hygiene • Henry N. Ogden

... occasion would be rather a heavy jest, and as little reasonable as the revenge offered to a village schoolmaster who, having complained that the whole of his little treatise on the Differential Calculus was printed bodily in one of the earlier editions of the Encyclopaedia Britannica (not so profitable as the later), was told that he was welcome, in his turn, to incorporate the Encyclopaedia Britannica in the next edition of ...
— The Book-Hunter - A New Edition, with a Memoir of the Author • John Hill Burton

... the department of Newer Physics—that is, of Relativity. He deserved it; the old chap was a genius if ever there was one, and even now, eight years out of college, I remember more from his course than from half a dozen calculus, steam and gas, mechanics, and other hazards on the path to an engineer's education. So on Tuesday night I dropped in an hour or so late, to tell the truth, since I'd forgotten about the engagement ...
— The Worlds of If • Stanley Grauman Weinbaum

... 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 did not exist for ...
— The Will to Believe - and Other Essays in Popular Philosophy • William James

... Levin, 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 ...
— Anna Karenina • Leo Tolstoy

... 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 of 209:30 Spirit. ...
— Science and Health With Key to the Scriptures • Mary Baker Eddy

... really the poet?" I asked. "There are two brothers, I know; and both have attained reputation in letters. The minister, I believe, has written learnedly on the Differential Calculus. He is a mathematician, and ...
— The Short-story • William Patterson Atkinson

... of a circle, whose circumference, if divided into four equal parts, each part would equal one of the surface sides of the base—closer in approximation than Walli's Indivisibles, or Newton's Fluxions, or Liebnitz's Calculus. The door of entrance was some forty-nine feet from its base, and 300 inches East of the centre, so as at once to express the tilt of the earth's axis from the plane of its orbit, and by its height from the ground express the Precession of the Equinoxes. What a witness outwardly, when complete, ...
— The Lost Ten Tribes, and 1882 • Joseph Wild

... the majority in every age. There is nothing that commonplace men hate like anything fresh and original. There is nothing that men of low aims are so utterly bewildered to understand, and which so completely passes all the calculus of which they are masters, as lofty self-abnegation. And wherever you get men smitten with such, or with anything like it, you will find all the low-aimed people gathering round them like bats round a torch in a cavern, flapping their ...
— Expositions of Holy Scripture - St. Mark • Alexander Maclaren

... continuous function which is not differentiable? The raising of the first question led in fact to the discovery of what is called 'non-Euclidean' geometry, the raising of the second has banished from the text-books of the Calculus the masses of bad reasoning which long made that branch of mathematics a scandal to logic and led distinguished philosophers—Kant among them—to suspect that there are hopeless contradictions in the ...
— Recent Developments in European Thought • Various

... toute sa vie sur la plantation de M^{me} Cox, a quatre milles d'Alexandrie. Deux habitans respectables de Pensylvanie, MM. Hartshom et Samuel Coates, qui voyageoient en Virginie, ayant appris la facilite singuliere que ce noir avoit pour les calculus les plus compliques, l'envoyerent chercher, et ...
— The Journal of Negro History, Vol. I. Jan. 1916 • Various

... Homer, Virgil, Horace, Sallust, Thucydides, Aristotle's Rhetoric and Logic, Tacitus, Juvenal, Quinctilian, parts of Ovid, Terence, Nepos, Caesar, Livy, Lucretius, Cicero, Polybius, and many other authors, besides learning geometry, algebra, and the differential calculus. But that lad was crammed scientifically like a Strasbourg goose; our ordinary modern writers are not walking cyclopaedias, and are rarely prodigious readers. It is no longer a reproach even for a man not to know all the literature of his specialty; while, as for general reading, when the "Publisher's ...
— The Galaxy, Volume 23, No. 2, February, 1877 • Various

... anecdote or fact that will allow judgment of the extent of his ability in this line. Did he keep record of his bank balance in his head instead of on paper? Was he fond of mathematical puzzles? Did he revel in statistics? Was the study of calculus a recreation to him? Such things probably will appear trivial to the genealogist, but to the eugenist ...
— Applied Eugenics • Paul Popenoe and Roswell Hill Johnson

... 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 efficient ...
— Great Astronomers • R. S. Ball

... 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 Girls: A Home Story • Mrs. A. D. T. Whitney

... 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 ...
— Harper's New Monthly Magazine, Volume 1, No. 3, August, 1850. • Various

... answer—polarity, or the essential dualism of Nature, arising out of its productive unity, and still tending to reaffirm it, either as equilibrium, indifference, or identity. In its productive power, of which the product is the only measure, consists its incompatibility with mathematical calculus. For the full applicability of an abstract science ceases, the moment reality begins.(12) Life, then, we consider as the copula, or the unity of thesis and antithesis, position and counterposition,—Life itself being the positive of both; as, on the other hand, ...
— Hints towards the formation of a more comprehensive theory of life. • Samuel Taylor Coleridge

... working order—their elaborate bell-ringing arrangements, their locks and their clocks. In the field of science to be sure, this fertility in invention will lead to a long list of important and beautiful discoveries: telescopes and the calculus, radiographs, and the spectrum. Discoveries great enough, almost, to make angels of them. But here again their simian-ness will cheat them of half of their dues, for they will neglect great discoveries of the truest importance, and honor extravagantly those of less value and splendor if only ...
— This Simian World • Clarence Day Jr.

... messenger found the soldiers in their ranks; the leaders in violent altercation. Pausanias was arguing with Amompharetus, when the last, just as the Athenian approached, took up a huge stone with both hands, and throwing it at the feet of Pausanias, vehemently exclaimed, "With this calculus I give my suffrage against flying from the stranger." Pausanias, in great perplexity, bade the Athenian report the cause of the delay, and implore his countrymen to halt a little, that they might act in ...
— Athens: Its Rise and Fall, Complete • Edward Bulwer-Lytton

... be first directed at removing the cause. If a cystic calculus is present in the bladder it should be removed. If the retention of the urine is caused by some local condition, and this is very often the case in nervous, well-bred animals, this must first be corrected. It is best to feed green ...
— Common Diseases of Farm Animals • R. A. Craig, D. V. M.

... formidable issue. Furthermore, just as marvelous cures were reported, striking predictions were called to mind or, if need were, invented. The diviner had, as a rule, only a restricted number of possibilities to deal with, and the calculus of probabilities shows that he must have succeeded sometimes. Mathematics, which he invoked, was in his favor after all, and chance frequently corrected mischance. Moreover, did not the man who had a well-frequented consulting-office, possess a thousand means, if he was clever, of placing ...
— The Oriental Religions in Roman Paganism • Franz Cumont

... vivit vindemia gemma Et tegitur felix, nec tamen uva latet: Femineum lucet sic per bombycina corpus, Calculus in nitida ...
— The Hesperides & Noble Numbers: Vol. 1 and 2 • Robert Herrick

... me as a genuine rara avis, a fashionable young lady with no more aptitude for the 'concord of sweet sounds,' than for the abstractions of Hegel, or Differential Calculus. It is traditional, that while in my nurse's arms, I performed miracles of melody such as Auld Lang Syne, with one little finger; but such undue precocity, madly stimulated by ambitious mamma and nurse Nell, resulted fatally in the total destruction of my marvellous talent, ...
— Infelice • Augusta Jane Evans Wilson

... of the Point and the neighborhood, and swarm in lively interest all over the historic spot, listening with uncomprehending but tireless patience to examinations on fortification or grand tactics, mechanics or calculus; gasping with excitement over dashing charges on the "cavalry plain," shuddering over the reckless daring in the riding-hall, stopping their ears against the thunder of the great guns at the batteries, and beating time with head and foot to the spirited quicksteps of the band. Dress-parade, ...
— Marion's Faith. • Charles King

... violently, and colored perceptibly. If a text-book in differential calculus, upon the turning of a page, had thrown problems to the winds and begun gibbering purple poems of passion, she could not have been more completely taken aback. However, there was no mistaking the utter and veracious impersonality of ...
— Queed • Henry Sydnor Harrison

... knowledge 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, it is enough that the nebular ...
— Christianity and Greek Philosophy • Benjamin Franklin Cocker

... normal current of one's existence. Such things had happened a dozen times at least in 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 ...
— The Miller Of Old Church • Ellen Glasgow

... trouble, that the best regular officer from the very fact of his superior training was puzzled to know how much to demand of volunteer troops, or what standard to enforce upon them. It was a problem in the Differential Calculus, with the Army Regulations for a constant, and a raw volunteer regiment for a variable, and not a formula in Davies which suited the purpose. Unfortunately, these perplexities were quite as apt to end in relaxation ...
— The Atlantic Monthly, Volume 14, No. 83, September, 1864 • Various

... means first-God surely will contrive Use for our earning. 80 Others mistrust and say, "But time escapes: Live now or never!" He said, "What's time? Leave Now for dogs and apes! Man has Forever." Back to his book then: deeper drooped his head: Calculus racked him: ...
— Dramatic Romances • Robert Browning

... infinitely small distance, of course. You will find the matter fully discussed in my work on the Infinitesimal Calculus. ...
— The Life and Letters of Lewis Carroll • Stuart Dodgson Collingwood

... operating in different directions; of his reason, his faith, his appetites, his affections, his emotions; when these operate each in due proportion, then, and then only, can he be at rest. It may, indeed, transcend any calculus of man to estimate exactly the several elements in this complicated polygon of forces; but we are at least sure that, if any one principle be so developed as to supersede another, no safe equipoise will be ...
— Reason and Faith; Their Claims and Conflicts • Henry Rogers

... do less classically educated children see nothing 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

... of this nether sphere governed by the calculus of probabilities, Count Abel Larinski and Mlle. Antoinette Moriaz would almost unquestionably have arrived at the end of their respective careers without ever having met. Count Larinski lived in Vienna, Austria; Mlle. Moriaz never had been farther from Paris than Cormeilles, ...
— Samuel Brohl & Company • Victor Cherbuliez



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