Online dictionaryOnline dictionary
Synonyms, antonyms, pronunciation

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




Calculus   Listen
noun
Calculus  n.  (pl. calculi)  
1.
(Med.) Any solid concretion, formed in any part of the body, but most frequent in the organs that act as reservoirs, and in the passages connected with them; as, biliary calculi; urinary calculi, etc.
2.
(Math.) A method of computation; any process of reasoning by the use of symbols; any branch of mathematics that may involve calculation.
Barycentric calculus, a method of treating geometry by defining a point as the center of gravity of certain other points to which coefficients or weights are ascribed.
Calculus of functions, that branch of mathematics which treats of the forms of functions that shall satisfy given conditions.
Calculus of operations, that branch of mathematical logic that treats of all operations that satisfy given conditions.
Calculus of probabilities, the science that treats of the computation of the probabilities of events, or the application of numbers to chance.
Calculus of variations, a branch of mathematics in which the laws of dependence which bind the variable quantities together are themselves subject to change.
Differential calculus, a method of investigating mathematical questions by using the ratio of certain indefinitely small quantities called differentials. The problems are primarily of this form: to find how the change in some variable quantity alters at each instant the value of a quantity dependent upon it.
Exponential calculus, that part of algebra which treats of exponents.
Imaginary calculus, a method of investigating the relations of real or imaginary quantities by the use of the imaginary symbols and quantities of algebra.
Integral calculus, a method which in the reverse of the differential, the primary object of which is to learn from the known ratio of the indefinitely small changes of two or more magnitudes, the relation of the magnitudes themselves, or, in other words, from having the differential of an algebraic expression to find the expression itself.






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 |
Add this dictionary
to your browser search bar





"Calculus" Quotes from Famous Books



... halls a tutor young, 'Tis said, once met his fate; He taught her in the Calculus ...
— Cap and Gown - A Treasury of College Verse • Selected by Frederic Knowles

... 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 concert. At length, towards morning, Pausanias resolved, ...
— Athens: Its Rise and Fall, Complete • Edward Bulwer-Lytton

... He could not even tell whether the servant's "character" was 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

... 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 students in the out-door branches,—botany, mineralogy, ...
— A Mortal Antipathy • Oliver Wendell Holmes, Sr.

... 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, the two counterpoints ...
— Hints towards the formation of a more comprehensive theory of life. • Samuel Taylor Coleridge

... invalidate the principles of morality, as our modern blood-and-thunder young man affects to believe. For that the principles of right and justice have not yet been discovered in barbarous countries no more destroys their universality and legitimacy than the principles of the differential calculus are affected by the primitive practice of counting on the fingers. And while the ethical geniuses—the senior wranglers of the soul—are groping towards further truths and finer shades of feeling, deeper reaches ...
— Without Prejudice • Israel Zangwill

... 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 point out that all the Professions—and ...
— As We Are and As We May Be • Sir Walter Besant

... Parallels,' Lobatchevsky; 'Transformation of Complex Functions,' Riemann; 'Tensors and Geodesics,' Gauss," Tony read. "Hm—old stuff. But here's modern dope along the same line. 'Tensors,' by Christoffel; 'Absolute Differential Calculus,' by Ricci and Levi Civita. And Schroedinger and Eddington and D'Abro. Looks like somebody's interested ...
— The Einstein See-Saw • Miles John Breuer

... knowledge of the students at the Moscow Technical School with our own. I saw the courses of higher geometry some of them had compiled for the use of their comrades; I admired the facility with which they applied the integral calculus to dynamical problems, and I came to the conclusion that while we, University students, had more knowledge of a general character, they, the students of the Technical School, were much more advanced in higher geometry, and especially in the applications of higher mathematics to ...
— Mother Earth, Vol. 1 No. 4, June 1906 - Monthly Magazine Devoted to Social Science and Literature • Various

... term and profess to be baffled 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 to ...
— Starlight Ranch - and Other Stories of Army Life on the Frontier • Charles King

... twelve he read Aristophanes with perfect understanding of the allusions of the day and divided his leisure between Ovid and Horace; at fifteen, wearied by the simplicity of Old English and Thirteenth Century Italian, he dipped into the history of Philosophy and passed from that, naturally, into calculus and the higher mathematics; at eighteen he took an A.B. from Harvard and while idling away a pleasant summer with Hebrew and Sanscrit he delved lightly into biology and its kindred sciences, having reached the conclusion that Truth is ...
— The Night Horseman • Max Brand

... 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 ...
— Erewhon • Samuel Butler

... is that a story is exciting because it has in it so strong an element of will, of what theology calls free-will. You cannot finish a sum how you like. But you can finish a story how you like. When somebody discovered the Differential Calculus there was only one Differential Calculus he could discover. But when Shakespeare killed Romeo he might have married him to Juliet's old nurse if he had felt inclined. And Christendom has excelled in the narrative romance exactly because it has insisted ...
— Orthodoxy • G. K. Chesterton

... its freedom from mixture with pain. Most selfish and sensual pleasures, however keen, are so interwoven with restlessness, shame, or dissatisfaction, or so inevitably accompanied by a revulsion of feeling, disgust or loathing, that they must be sharply discounted in our calculus. Whereas intellectual, aesthetic, religious pleasures are generally free from such intermixture of pain, and so, though milder, on the whole preferable even in their immediacy ...
— Problems of Conduct • Durant Drake

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

... fashion as these incomparably wise people that make up 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 obscene wings and uttering their harsh croaks, and ...
— Expositions of Holy Scripture - St. Mark • Alexander Maclaren

... tables, sometimes with the plates not half amalgamated, or coated with impurities, the whole concern superintended by a man who knows as little about the treatment of auriferous quartz by the amalgamating or any other processes as a dingo does of the differential calculus. Result: 3 dwt. to the ton in the retort, 30 dwt. in the tailings, and a payable ...
— Getting Gold • J. C. F. Johnson

... —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 equilibrium ...
— An Inquiry Into The Nature Of Peace And The Terms Of Its Perpetuation • Thorstein Veblen

... the learned Bavarians, each of whom ate four or five meals a day, and drank two or three jugs of beer. The most illustrious of these learned men, Steinhein, boasted of smoking 6,000 cigars a year. I attained to smoking three or four cigars a day. While drawing up my treatise on the Calculus of Variations, the most difficult of my mathematical treatises, I unconsciously emptied my snuff-box, which contained twenty-five grammes (nearly an ounce) of snuff; and one day I was painfully surprised to find that I was obliged to have recourse to my dictionary for the meaning ...
— Study and Stimulants • A. Arthur Reade

... expense of aestheticism, 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 Homers ...
— A Fleece of Gold - Five Lessons from the Fable of Jason and the Golden Fleece • Charles Stewart Given

... queen of the kitchen be respected; but—ah, let me see, Mr Distin, I think we were to take up the introductory remarks made on the differential calculus." ...
— The Weathercock - Being the Adventures of a Boy with a Bias • George Manville Fenn

... sentence on the present 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 ...
— The Book-Hunter - A New Edition, with a Memoir of the Author • John Hill Burton

... properties of number, alone among all known phenomena, are, in the most rigorous sense, properties of all things whatever. All things are not colored, or ponderable, or even extended; but all things are numerable. And if we consider this science in its whole extent, from common arithmetic up to the calculus of variations, the truths already ascertained seem all but infinite, and ...
— A System Of Logic, Ratiocinative And Inductive • John Stuart Mill

... with "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 votes with grieving hearts, ...
— Ray's Daughter - A Story of Manila • Charles King

... Jurgen: and 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 ...
— Jurgen - A Comedy of Justice • James Branch Cabell

... has been unable to receive them. Such sentiments—for the half-credences of which I speak have never the full force of thought—such sentiments are seldom thoroughly stifled unless by reference to the doctrine of chance, or, as it is technically termed, the Calculus of Probabilities. Now this Calculus is, in its essence, purely mathematical; and thus we have the anomaly of the most rigidly exact in science applied to the shadow and spirituality of the ...
— The Works of Edgar Allan Poe - Volume 1 (of 5) of the Raven Edition • Edgar Allan Poe

... applied to the explanation of the 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 ...
— Great Astronomers • R. S. Ball

... symbols of music—cages in which the beautiful bird is 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 employed had been adjusted ...
— Great Pianists on Piano Playing • James Francis Cooke

... desirable but not absolutely necessary. Other courses which are extremely desirable, if not altogether essential, are mineralogy, meteorology, mechanics, physical geography, organic chemistry, and possibly calculus, which may be of use in ...
— The Training of a Forester • Gifford Pinchot

... this chapter was written, two treatises have appeared (or rather a treatise and a fragment of a treatise), which aim at a further improvement in the theory of the forms of ratiocination: Mr. De Morgan's "Formal Logic; or, the Calculus of Inference, Necessary and Probable;" and the "New Analytic of Logical Forms," attached as an Appendix to Sir William Hamilton's Discussions on Philosophy, and at greater length, to his posthumous ...
— A System Of Logic, Ratiocinative And Inductive • John Stuart Mill

... (memini) Stymphalide silva; 585 Aestus erat, magnumque labor geminaverat aestum. Invenio sine vertice aquas, sine murmure euntes, Perspicuas ad humum, per quas numerabilis alte Calculus omnis erat, quas tu vix ire putares.... 589 Nescioquod medio sensi sub gurgite murmur 597 Territaque insisto propioris margine fontis. 'Quo properas Arethusa?' suis Alpheos ab undis, 'Quo properas?' iterum rauco mihi dixerat ore.... 600 Sic ego ...
— Helps to Latin Translation at Sight • Edmund Luce

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

... Deity as these purely mental conceptions of numerical and mathematical science which have been, by slow degrees, vouchsafed to man—and are still granted in these latter times by the differential calculus, now superseded by the higher algebra—all of which must have existed in that sublimely omniscient mind from eternity." See also The Life and Letters of Adam Sedgwick, Cambridge, 1890, vol. ii, ...
— History of the Warfare of Science with Theology in Christendom • Andrew Dickson White

... 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

... 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 ...
— Dramatic Romances • Robert Browning

... "the infinitesimal calculus of Leibnitz will show you that the architecture of the Louvre is less learned than that of a snail: the eternal geometer has unrolled his transcendent spirals on the shell of the mollusc that you, like the vulgar profane, know only ...
— Fabre, Poet of Science • Dr. G.V. (C.V.) Legros

... plain woman of genius by the ghost of David Hume.' Herself, too, has been variously described: as 'An Apotheosis of Pupil-Teachery'; as 'George Sand plus Science and minus Sex'; as 'Pallas with prejudices and a corset'; as 'the fruit of a caprice of Apollo for the Differential Calculus.' The comparison of her admirable talent to 'not the imperial violin but the grand ducal violoncello' seems suggestive ...
— Views and Reviews - Essays in appreciation • William Ernest Henley

... and afterwards into the Academies of Berlin and Paris. His merit was so well known and acknowledged by the Royal Society that they judged him a fit person to decide the famous contest between Newton and G. W. Leibnitz (see INFINITESIMAL CALCULUS). The life of Demoivre was quiet and uneventful. His old age was spent in obscure poverty, his friends and associates having nearly all passed away before him. He died at London, on the ...
— Encyclopaedia Britannica, 11th Edition, Volume 8, Slice 2 - "Demijohn" to "Destructor" • Various

... since his time within his laws. Difficulties of fact, with which he struggled in vain, gave way to more accurate observations; and problems that defied the power of his analysis, yielded to the modern improvements of the calculus. ...
— The Uses of Astronomy - An Oration Delivered at Albany on the 28th of July, 1856 • Edward Everett

... higher mathematics. Boyle, an Irishman, has been called the "father of modern chemistry," so many were his researches in that field of knowledge. Far greater than any of these men was Sir Isaac Newton, who discovered the law of gravitation and the differential calculus. During the Civil War a group of students interested in the natural world began to hold meetings in London and Oxford, and shortly after the Restoration they obtained a charter under the name of the Royal Society. It still exists and enrolls among its members the most distinguished ...
— EARLY EUROPEAN HISTORY • HUTTON WEBSTER

... she would as soon have wrestled with the differential calculus. "Why, dear me," she stammered, "there's Alice; she never came out, and I don't see but what she's got along all right: good home, nice husband, and everything she ...
— With the Procession • Henry B. Fuller

... great geometer, who had succeeded so well in the study of the tides of the ocean, should not have occupied his attention with the tides of the atmosphere; that he should not have submitted to the delicate and definitive tests of a rigorous calculus, the generally diffused opinions respecting the influence of the moon upon the height of the barometer and ...
— Biographies of Distinguished Scientific Men • Francois Arago

... we assume an equable distribution of their orbits, and the limits of their perihelia, or greatest proximities to the Sun, and the possibility of their remaining invisible to the inhabitants of the Earth, and base our estimates on the rules of the calculus of probabilities, we shall obtain as the result an amount of myriads perfectly astonishing. Kepler, with his usual animation of expression, said that there were more comets in the regions of space ...
— COSMOS: A Sketch of the Physical Description of the Universe, Vol. 1 • Alexander von Humboldt

... was conceived to be in danger: every means was made use of that seemed calculated to be of service, but without effect, as he died the same evening. On opening the body, in the presence of several spectators the rectum was found to be ruptured by the pressure of a large calculus, or stone which weighs five pounds seven ounces, and in one of the intestines (the colon) were found three others that weigh sixteen pounds seven ounces. Altogether twenty one pounds fourteen ounces. They are kept in Mr. Jones' museum and ...
— The Mirror of Taste, and Dramatic Censor, Vol. I, No. 5, May 1810 • Various

... 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." ...
— Christianity and Greek Philosophy • Benjamin Franklin Cocker

... 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

... year, 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 ...
— The Story of the Herschels • Anonymous

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

... 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. ...
— The Missing Bride • Mrs. E. D. E. N. Southworth

... sooner been appointed than it was seen that a mistake had been made. Napoleon afterwards 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 the purposes ...
— Character • Samuel Smiles

... of the ancients on human nature and life, my father made me study with peculiar care, and throw the matter of it into synoptic tables. During the same years I learnt elementary geometry and algebra thoroughly, the differential calculus, and other portions of the higher mathematics far from thoroughly: for my father, not having kept up this part of his early acquired knowledge, could not spare time to qualify himself for removing my difficulties, and left me ...
— Autobiography • John Stuart Mill

... plains, was the most helpless individual imaginable. Coming fresh from some large city probably, as soon as he arrived at his station he was placed on the back of an animal of whose habits he knew as little as he did of the differential calculus; loaded down with a carbine, the muzzle of which he could hardly distinguish from the breech; a sabre buckled around his waist; a couple of enormous pistols stuck in his holsters; his blankets strapped to ...
— The Old Santa Fe Trail - The Story of a Great Highway • Henry Inman

... tubes in the female, and vas deferens or vesiculae seminales in the male, rather than the ovaries or testicles. Finally, he points out the practical bearing of the subject—for example, the probability of calculus causing sudden suppression of urine in such cases—and also the danger of surgical interference, and suggests the possibility of diagnosing the condition by ascertaining the absence of the opening of one ...
— Anomalies and Curiosities of Medicine • George M. Gould

... if he had dared! What chance had any of the lighter passions against the craving hunger of the healthy young animal? It was another triumph of his philosophy, almost its greatest—Nature at a bound eliminating art and the feminine calculus. When he had finished eating, without a word he rose, and went out to pack Clarissa, and while he was thus engaged Hermia passed him silently with a bucket on the way to the pump for water, and in another moment ...
— Madcap • George Gibbs

... placed me in my tub, even when ice was on its surface, at five o'clock every morning—not slavishly, but cheerfully, meeting each day's studies with a resolute will, determined whether victor or vanquished not to shrink from difficulty. I never should have gone through Analytical Geometry and the Calculus had it not been for those men. I never should have become a physical investigator, and hence without them I should not have been here to-day. They told me what I ought to do in a way that caused me to do it, and all my consequent intellectual action is to be traced to this purely moral source. ...
— Fragments of science, V. 1-2 • John Tyndall

... more to close a long digression. I have read of a baron in the fifteenth century who once in his life said a good thing. He was a coarse, brutal marauder, illiterate enough to have satisfied Earl Angus, and as unromantic as the Integral Calculus. He was mortally wounded in a skirmish; and when his men came back from the pursuit, he was bleeding to death, resting against a tree. When they lifted him up, they noticed his eyes fixed with a curious, complacent expression on the red stream ...
— Guy Livingstone; - or, 'Thorough' • George A. Lawrence

... himself up to higher mathematics when a young man, instead of turning his talent to account in an architect's office, a shipbuilding yard, or a locomotive shop. He could find the strain at any part of an iron frame building by the differential and integral calculus to the millionth of an ounce, but the everyday technical routine work with volumes of ready-made tables was unfamiliar and uncongenial to him; he would rather have calculated the tables themselves. The true science of mathematics is the most imaginative and creative of ...
— The Little City Of Hope - A Christmas Story • F. Marion Crawford

... least, is the only way in which I 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

... off to 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 in ...
— The Ultimate Weapon • John Wood Campbell

... associations of his home. The students from this great school gathered around his father's hospitable fire and rested their brains when weary with the curves of analytical geometry and the stupid exactness of the differential calculus. Emil was clever at his profession—that of mechanical engineer—and for five years after his graduation from the Institute had devoted himself to that career. Then his father needed his assistance in running the hotel, for in his older years A. Stuffer found ...
— Cupid's Middleman • Edward B. Lent

... mechanical process, is seeable by the mind. But can you see or dream, or in any way imagine, how out of that mechanical art, and from these individually dead atoms, sensation, thought, and emotion are to arise? Are you likely to extract Homer out of the rattling of dice, or the Differential Calculus out of the clash of billiard balls?" Could any vitalist, or Bergsonian idealist have stated ...
— The Breath of Life • John Burroughs

... that in countries where cider—not of the sweet sort—is the common beverage, stone, or calculus, is unknown; and a series of enquiries among the doctors of Normandy, a great Apple country, where cider is the principal, if not the sole drink, brought to light the fact that not a single case had been met with there in forty ...
— Herbal Simples Approved for Modern Uses of Cure • William Thomas Fernie

... regard, on trust. They have known him at first hand chiefly as author or editor of popular works such as his "Popular Astronomy" (1877); of his text-books on astronomy, algebra, geometry, trigonometry, and calculus; of his books on political economy, which science he was accustomed to call his "recreation"; and of magazine articles on all sorts of subjects not omitting "psychical research," which was one of the numerous by-paths into which he strayed. He held at one time the presidency of the American ...
— A Librarian's Open Shelf • Arthur E. Bostwick

... upon to 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 to ...
— The Essays Of Arthur Schopenhauer • Arthur Schopenhauer

... counters. The same board, strewn over with sand, was used for teaching the rudiments of writing and the principles of geometry. The Romans subsequently adopted the Abacus, dividing it by means of perpendicular lines or bars, and from the designation of calculus which they gave to each pebble or counter employed on the board, we have derived our English word to calculate. The same instrument continued to be employed during the middle ages, and the table used by the English Court of Exchequer was but a modified form of the Greek Abacus, the ...
— Industrial Biography - Iron Workers and Tool Makers • Samuel Smiles

... nature that you say you learned at college before I was born, permit me to point out that on the face of it you cannot have learned anything since. Socialism has no more to do with the state of nature than has differential calculus with a Bible class. I have called your class stupid when outside the realm of business. You, sir, ...
— The Iron Heel • Jack London

... 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

... 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 ...
— Ade's Fables • George Ade

... I've always admitted that you were simply perfect,' Harry said, glancing at her with visible admiration, 'and I don't think anything on earth could possibly improve you—except perhaps a judicious course of differential and integral calculus, which might possibly serve to tone down slightly your exuberant and excessive vitality. Still, you know, from the point of view of society, which is a force we have always to reckon with—a constant, in fact, that we may call Pi—there can be no doubt in the world that to have ...
— Philistia • Grant Allen

... these have been made by persons who, "working quite independently, have arrived at like results almost simultaneously. Thus rival and independent claims," he proceeds, "have been made for the discovery of the differential calculus, the invention of the steam-engine, the methods of spectrum analysis, the telephone, the telegraph, as well as many other discoveries." Further, to these arguments a yet more definite point has been added by the contention that, as socialist writers put it, "inventions ...
— A Critical Examination of Socialism • William Hurrell Mallock

... Hemphill. Didn't dream you were entertaining. Just looking for a book—Calculus. Haven't seen it knocking about, have you? Fancied I left it here last night. No—No! Couldn't think of stopping. Oh, if you feel that ...
— Blue Bonnet in Boston - or, Boarding-School Days at Miss North's • Caroline E. Jacobs

... reason, finds no stumbling-block in the doctrine that there may be laws through whose action inspiration is the enlightenment of mind as it exists in man, by mind as it underlies the motions which make up matter. The truth thus reached is not the formulae of the Calculus, nor the verbiage of the Dialectic, still less the events of history, but that which gives what validity they have to all of these, and moreover imparts to the will and the conscience their ...
— The Religious Sentiment - Its Source and Aim: A Contribution to the Science and - Philosophy of Religion • Daniel G. Brinton

... book not limited by commercial exigencies of price: we can do what we like with it, according to what its nature, as a book, demands of art. But we may conclude, I think, that its matter will limit us somewhat; a work on differential calculus, a medical work, a dictionary, a collection of a statesman's speeches, or a treatise on manures, such books, though they might be handsomely and well printed, would scarcely receive ornament with the same ...
— The Art and Craft of Printing • William Morris

... really give my mind to the task, cannot I define a 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 very foundations ...
— Recent Developments in European Thought • Various

... "Principia" Newton published for the first time the fundamental principle of the fluxionary calculus which he had discovered about twenty years before; but not till 1693 was his whole work communicated to the mathematical world. This delay in publication led to the historical controversy between him and Leibnitz ...
— The World's Greatest Books, Vol IX. • Edited by Arthur Mee and J.A. Hammerton

... honors. Coming home in great glee, she cast her books aside as she announced to her friends;—"Thank goodness it is all over, I have nothing more to learn. I know Latin and Greek, French and German, Spanish and Italian; I have gone through Algebra, Geometry, Trigonometry, Conic Sections and the Calculus; I can interpret Beethoven and Wagner, and—but why ...
— Marvels of Modern Science • Paul Severing

... 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. ...
— Samuel Brohl & Company • Victor Cherbuliez

... 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 his ...
— The Notebook of an English Opium-Eater • Thomas de Quincey

... particulars of the instruction in the architectural branch, which commences in the student's second year, with Greek, Roman, and Mediaeval architectural history, the Orders and their applications, drawing, sketching, and tracing, analytic geometry, differential calculus, physics, descriptive geometry, botany, and physical geography. In the third year the course is extended to the theory of decoration, color, form, and proportion; conventionalism, symbolism, the decorative arts, ...
— Scientific American Supplement, No. 446, July 19, 1884 • Various

... equally masterly manner, and with equal success. His position as a geometer is perhaps better understood from the assertion made respecting him by a modern mathematician, that he came as near to the discovery of the Differential Calculus as can be done without the aid of algebraic transformations. Among the special problems he treated of may be mentioned the quadrature of the circle, his determination of the ratio of the circumference to the diameter being between: 3.1428 and 3.1408, the true ...
— History of the Intellectual Development of Europe, Volume I (of 2) - Revised Edition • John William Draper

... in mathematics for a young girl; every step seemed easy to her. She took everything severe that she could get a chance at, in the course or out of it,—surveying, navigation, mechanics, mathematical astronomy, and conic sections, as well as the ordinary course in mathematics; the calculus she had worked through at sixteen under a very able and exact teacher, and took her diploma from W.H. Wells, a master who allowed nothing to go slipshod. She was absorbed in studies of this kind, ...
— The Seven Little Sisters Who Live on the Round Ball - That Floats in the Air • Jane Andrews

... paternals, who throng the hostelries 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

... avert it received the anxious patronage of people worried by this 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

... was a roar of quite another kind. I endeavoured to protest, as I got behind an arm-chair and dodged a Differential Calculus and a large glass inkstand, that I hadn't meant to allude to the obnoxious Physician at all, but had merely intended to convey my ...
— Punch, or the London Charivari, Vol. 102, May 21, 1892 • Various

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

... shut up the cook-book. Eggs a la reine seemed as difficult as trigonometry, or conic sections, or differential calculus—and much more expensive. Certainly the eight giggling cooks in the kitchen, now at the very height of their exhilaration, worried themselves little about such concoctions. My nerves again began to play pranks. The devilish pandemonium infuriated ...
— The Wit and Humor of America, Volume I. (of X.) • Various

... 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 ...
— Masterpieces of Mystery In Four Volumes - Detective Stories • Various

... is more than ever the evidence of a pouring forth of energy amounting almost to what the critics call violence—to terribleness of action. It was not until the age of seventy that an illness which seemed to mark any weakening of his bodily powers came upon him. At seventy-five, symptoms of calculus (a disease common in that day at fifty) appeared, but, though naturally pessimistic, he writes, "In all other respects I am pretty much as I was at thirty years." He improved under careful medical treatment, but ...
— Popular Science Monthly Volume 86

... of stimuli, than by exhausting the excitability;" and adds, "upon this principle we could not have a better soporific than an atmosphere with a diminished proportion of oxygene air, and that common air might be admitted after the patient was asleep." (Observ. on Calculus, &c. by Dr. Beddoes, Murray.) If it should be found to be true, that the excitability of the system depends on the quantity of oxygene absorbed by the lungs in respiration according to the theory of Dr. Beddoes, and of M. Girtanner, this idea of sleeping in an atmosphere ...
— Zoonomia, Vol. I - Or, the Laws of Organic Life • Erasmus Darwin

... investigation of curve lines (1637), 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 ...
— History of the Conflict Between Religion and Science • John William Draper

... presents nothing of special interest. 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.), having espoused the ...
— Encyclopaedia Britannica, 11th Edition, Volume 4, Part 3 - "Brescia" to "Bulgaria" • Various

... there can be no doubt that with the aid of an adequate mathematical calculus (which would have to be established on a realistic understanding of the respective properties of the fields of force coming into play) it will become possible to derive by calculation the speed of the establishment of light within ...
— Man or Matter • Ernst Lehrs

... enlarge his knowledge. Whether he started any new thing in mathematics I cannot tell, but he would sit absorbed, every day and all day long, for weeks, over his slate, suddenly throw it down, walk out for the rest of the day, and leave his calculus, or whatever it was, for months. He read Shakespeare as with a microscope, propounding and answering the most curious little questions. It seemed to me sometimes, I confess, that he missed a plain point from his eyes being so sharp that they looked through it without seeing it, having focused ...
— The Flight of the Shadow • George MacDonald

... 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 ...
— Scientific American Supplement, No. 286 - June 25, 1881 • Various

... Blanquette sat dutifully on a straight-backed chair, her hands in her lap, listening as she had so often done before to our inspiring conversation, and adding her word whenever it entered the area of her comprehension. If we had lectured each other alternately on the Integral Calculus, Blanquette would have given us her rapt and happy attention. This evening she would not have minded our talking English; the mere sound of the Master's voice was sweet: sweeter than ever, now that the other woman had been "planted there" (she thought of it with a fierce joy), ...
— The Beloved Vagabond • William J. Locke

... 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 ...
— Infelice • Augusta Jane Evans Wilson

... honour and strength given to our country by the science of MacCullagh, Hamilton, and Lloyd; but we protest against the attempt to mix the armoury of the ancient Irish, or the Celtic dialects, or the essay on Round Towers, with trigonometry and the calculus, whether in a lecture-room or ...
— Thomas Davis, Selections from his Prose and Poetry • Thomas Davis

... from employing WMD. A new deterrence calculus combines the need to deter terrorists and supporters from contemplating a WMD attack and, failing that, to dissuade them from actually conducting an attack. Traditional threats may not work because terrorists show a wanton disregard for the lives of innocents ...
— National Strategy for Combating Terrorism - September 2006 • United States

... 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 them ...
— The Sky Is Falling • Lester del Rey

... combining the lights of the newest research and the lights of the most matured philosophy. Since the masterly book of Hallam was written, both political thought and historical knowledge have gained much, and we might have a treatise applying our strengthened calculus to our augmented facts. I do not pretend that I could write such a book, but there are a few salient particulars which may be fitly brought together, both because of their past interest ...
— The English Constitution • Walter Bagehot

... 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 model of a ...
— The Complete Plays of Gilbert and Sullivan - The 14 Gilbert And Sullivan Plays • William Schwenk Gilbert and Arthur Sullivan

... won't be necessary to sacrifice math entirely. You can elect analytics and calculus to balance the lit and ...
— Beatrice Leigh at College - A Story for Girls • Julia Augusta Schwartz

... this bridge and the rest of the geometry? I don't know whether I can ever learn it all myself, but I'm going to the School of Engineering up at the University, next spring, to learn chemistry, and qualitative analysis, and calculus, and analytical mechanics, and graphical statics, and metallurgy, and thermodynamics, and hydraulics, and a lot of other things. But these people here will still be at work on this same triangle years after I am dead, if they have anybody ...
— Fairies and Folk of Ireland • William Henry Frost

... and I am now more than ever convinced of the fact that England offers an unequalled field for a teacher of ability and perseverance, always provided that he is as competent an authority on cricket and boating as he is on Greek particles and the working of the differential calculus. I speak, of course, simply of the ordinary university graduate, who (like myself), not being from patrician ranks or Mammon-blessed, must hew out a position for himself without any aid from the patronage of influential friends or relatives. Given a moderate amount ...
— Lippincott's Magazine, Vol. 22, September, 1878 • Various

... result of the combined action of forces 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 attained. ...
— Reason and Faith; Their Claims and Conflicts • Henry Rogers

... thinking about the things he knows the black man comes to the same conclusion as the white man when he thinks about the same things. The black man does not think about electricity or the differential calculus because he knows nothing about these matters, neither, and for the same reason, does the European peasant wherever he may still be found in his primitive state. It has been alleged in America and in South Africa that Negro and Bantu children, when compared with European children in both countries, ...
— The Black Man's Place in South Africa • Peter Nielsen

... 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 ...
— A Roman Singer • F. Marion Crawford

... figuring on a bit of paper, and Ned, who looked over his shoulder, saw a complicated compilation that looked to be a combination of geometry, algebra, differential calculus and other higher mathematics. ...
— Tom Swift and his Giant Cannon - or, The Longest Shots on Record • Victor Appleton

... in, cram it in— Children's heads are hollow; Rap it in, tap it in— Bang it in, slam it in Ancient archaeology, Aryan philology, Prosody, zoology, Physics, climatology, Calculus and mathematics, Rhetoric and hydrostatics. Stuff the school children, fill up the heads of them, Send them all lesson-full home to the beds of them; When they are through with the labor and show of it, What do they care for it, what do they ...
— The Gentleman from Everywhere • James Henry Foss

... number of an Irish paper, Protestant in politics. It opens with "Suggestions on the subject of a Novum Organum Moralium," which is the application of algebra and the differential calculus to morals, socials, and politics. There is also a leading article on the subject, and some applications in notes to other articles. A separate publication was afterwards made, with the addition of a long Preface; the ...
— A Budget of Paradoxes, Volume II (of II) • Augustus de Morgan

... go to your Holiness,' he said, 'King Calculus will not let me. I have dreadful health, which this tornado has not improved. I, who was the favourite of everybody, am now cursed by everybody—at Louvaine by the monks; in Germany by the Lutherans. I have fallen into trouble in my ...
— Short Studies on Great Subjects • James Anthony Froude

... the fairies then wait on repletion? Do our dreams come from below, and not from the skies? Are we angels, or dogs? Oh, Man, Man, Man! thou art harder to solve, than the Integral Calculus—yet plain as a primer; harder to find than the philosopher's-stone—yet ever at hand; a more cunning compound, than an alchemist's—yet a hundred weight of flesh, to a penny weight of spirit; soul and body glued together, firm as atom to atom, ...
— Mardi: and A Voyage Thither, Vol. II (of 2) • Herman Melville

... invaluable to sufferers from the stone or calculus. It has been observed that in cider countries where the natural unsweetened cider is the common beverage, cases of stone are practically unknown. Food-reformers do not deduce from this that the drinking of cider is to be recommended, but that even better results ...
— Food Remedies - Facts About Foods And Their Medicinal Uses • Florence Daniel

... in optics were in his own time almost equally famous, while in his later life he shared with Leibnitz the honor of inventing the infinitesimal calculus, a method which lies at the root of all the intricate marvels of modern ...
— The Great Events by Famous Historians, Volume 12 • Editor-In-Chief Rossiter Johnson

... should 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 and soft feeds, ...
— Common Diseases of Farm Animals • R. A. Craig, D. V. M.

... 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 ...
— Auguste Comte and Positivism • John-Stuart Mill

... without a General, or with no General understanding the least of his business. The English have a notion that Generalship is not wanted; that War is not an Art, as playing Chess is, as finding the Longitude, and doing the Differential Calculus are (and a much deeper Art than any of these); that War is taught by Nature, as eating is; that courageous soldiers, led on by a courageous Wooden Pole with Cocked-hat on it, will do very well. In the world I have not found opacity of platitude ...
— History of Friedrich II. of Prussia, Vol. XI. (of XXI.) • Thomas Carlyle

... suggested these reflections, all this eager study of unmeaning curves (if there be anything in the starry universe quite unmeaning) was leading gradually, but directly, to the discovery of the most wonderful of all mathematical instruments, the Calculus preeminently. In the quadrature of curves, the method of exhaustions was most ancient,—whereby similar circumscribed and inscribed polygons, by continually increasing the number of their sides, were made to approach the curve until the space contained between them was exhausted, or reduced ...
— Atlantic Monthly, Volume 3, No. 20, June, 1859 • Various

... their nurses dandle them They crow binomial theorem, With views (it seems absurd to us) On differential calculus. ...
— More Bab Ballads • W. S. Gilbert

... 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 disputants which are in the mores. ...
— Folkways - A Study of the Sociological Importance of Usages, Manners, Customs, Mores, and Morals • William Graham Sumner

... Jim you are," it begins, "to stay away there at Baroona, leaving me moping here with our daddy, who is calculating the explosive power of shells under water at various temperatures. I have a good mind to learn the Differential Calculus myself, only on purpose to bore you with it ...
— The Recollections of Geoffrey Hamlyn • Henry Kingsley

... then. She had loved her 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 grandmothers ...
— A Reversion To Type • Josephine Daskam

... the Differential Calculus. With numerous Examples. Third Edition, revised. Crown 8vo. ...
— The Works of William Shakespeare [Cambridge Edition] [9 vols.] - Introduction and Publisher's Advertising • William Shakespeare

... experiment, began to bear rich fruits. Sir Isaac Newton (1642-1727) not only discovered the law of gravitation: other discoveries by him in mechanics and optics were of great moment in the progress of those sciences. Fluxions, or the differential calculus, was discovered independently by both Newton and Leibnitz. Euler, a Swiss mathematician of the highest ability (1707-1783), contributed essentially to the advancement of mechanics. Napier invented logarithms, to shorten mathematical ...
— Outline of Universal History • George Park Fisher



Words linked to "Calculus" :   predicate calculus, crust, bladder stone, mathematics, concretion, functional calculus, calculate, gallstone, encrustation, calculous, cystolith, ptyalith, enterolith, differential calculus, infinitesimal calculus, bilestone, tophus, urinary calculus, incrustation, tartar, urolith, salivary calculus, math, nephrolith



Copyright © 2024 Dictionary One.com