| 单词 | fluxion |
| 例句 | He concluded that “he who can digest a second or third fluxion, a second or third difference, need not, methinks, be squeamish about any point in divinity.” Zero: The Biography of a Dangerous Idea 2000-02-07T00:00:00Z Newton disliked infinitesimals, the little os in his fluxion equations that sometimes acted like zeros and sometimes like nonzero numbers. Zero: The Biography of a Dangerous Idea 2000-02-07T00:00:00Z Their rates of change—their fluxions—are denoted by and x respectively. Zero: The Biography of a Dangerous Idea 2000-02-07T00:00:00Z These infinitesimals survived unchanged throughout Leibniz’s calculations; indeed the derivative of y with respect to x was not the infinitesimal-free ratio of fluxions y/x, but the ratio of infinitesimals dy/dx. Zero: The Biography of a Dangerous Idea 2000-02-07T00:00:00Z Newton’s method of differentiation was based on a notational trick: he let the fluxions change, but he only let them change infinitesimally. Zero: The Biography of a Dangerous Idea 2000-02-07T00:00:00Z When Newton denoted position with the variable x, he realized that velocity is simply the fluxion—what modern mathematicians call the derivative—of x: x. Zero: The Biography of a Dangerous Idea 2000-02-07T00:00:00Z Newton’s style of differentiation was based upon fluxions—the flows—of mathematical expressions that he called fluents. Zero: The Biography of a Dangerous Idea 2000-02-07T00:00:00Z As a result, the English stuck to Newton’s fluxion notation rather than adopting Leibniz’s superior differential notation—cutting off their noses to spite their faces. Zero: The Biography of a Dangerous Idea 2000-02-07T00:00:00Z It would be of particular interest to determine whether the torment of this tissue in any way interfered with the augmentation of bilious fluxion. The Astonishing Life of Octavian Nothing, Traitor to the Nation, Volume I: The Pox Party 2006-09-12T00:00:00Z The method of fluxions not only solved the tangent problem, it also solved the area problem. Zero: The Biography of a Dangerous Idea 2000-02-07T00:00:00Z Newton’s calculus—his method of fluxions—did just this by tying together concepts like position, velocity, and acceleration. Zero: The Biography of a Dangerous Idea 2000-02-07T00:00:00Z Nevertheless, underneath all the mathematics, Leibniz’s differentials still had the same forbidden 0/0 nature that plagued Newton’s fluxions. Zero: The Biography of a Dangerous Idea 2000-02-07T00:00:00Z It should hardly be offensive to an ordinary man to be told, or at least to find it tacitly assumed, that he could not have invented fluxions, painted like Rembrandt, or sung like Pindar. The Contemporary Review, Volume 36, October 1879 2012-04-18T02:00:17.060Z Though he experienced some difficulty at his first entrance, yet he did not rest till he made himself master of both a fluxion and a flowing quantity. Curiosities of Human Nature 2012-04-03T02:00:27.167Z Newton's discovery of the law of gravitation, and his theory of fluxions place him at the head of the mathematical thinkers of the world. The World's Best Books : A Key to the Treasures of Literature 2011-10-20T02:00:20.857Z They had not learned the use of logarithms, and were ignorant of fluxions. The Works of Daniel Webster, Volume 1 2011-07-27T02:00:32.830Z In 1687, Newton's method of fluxions was first published, twenty years after its invention, and then because the friends of Leibnitz, the author of the "Differential Calculus," claimed priority of discovery. Famous Men of Science 2011-03-08T03:00:49.717Z Both these methods, differing from that now employed, are interesting as preliminary steps towards the method of fluxions and the differential calculus. Encyclopaedia Britannica, 11th Edition, Volume 8, Slice 2 "Demijohn" to "Destructor" It was during his abode at Cambridge that he made his three great discoveries, of fluxions, the nature of light and colors, and the laws of gravitation. Curiosities of Human Nature 2012-04-03T02:00:27.167Z He’s been having what you call here a ‘fluxion of the chest.’ Aurora the Magnificent "The other is a peasant from the environs, who has a handkerchief over his face as if he enjoyed a fluxion." The International Monthly, Volume 3, No. 2, May, 1851 Still, however, his method of fluxions was unknown, and still he did not publish it. Pioneers of Science While tobacco cultivates sociality, and is of great avail in severe hunger and thirst, it strengthens the body and checks fluxions, and colds, and slimy humors. Tobacco; Its History, Varieties, Culture, Manufacture and Commerce Craig is known in the early history of fluxions, and was a good mathematician. A Budget of Paradoxes, Volume I The corps of nurses was in a state of constant fluxion. A Little Traitor to the South A War Time Comedy With a Tragic Interlude Hippocrates also held the theory of fluxions, which were conditions in the nature of congestion, as it would now be understood. Outlines of Greek and Roman Medicine By the age of twenty-one or two he had begun his great mathematical discovery of infinite series and fluxions—now known by the name of the Differential Calculus. Pioneers of Science No, it is bestowed on some young political adherent of the party then in power, who may be as unacquainted with the duties connected with the position, as I am ignorant of double fluxions! She and I, Volume 2 A Love Story. A Life History. He was one of the group that introduced the modern continental notation of the calculus into England, replacing the cumbersome notation of Newton, passing from "the dotage of fluxions to the deism of the calculus." A Budget of Paradoxes, Volume I The most common maladies of the negroes are slight fevers in the spring, more violent ones in the summer, dysenteries in autumn, and fluxions of the breast in winter. The Journal of Negro History, Volume 2, 1917 He had written his essay on fluxions, described their application to fluents and tangents, and devised a plan for finding the radius of curvity in crooked lines. Little Journeys to the Homes of the Great - Volume 12 Little Journeys to the Homes of Great Scientists Some years later, when his method of fluxions was published, another and a worse controversy arose—this time with Leibnitz, who had also independently invented the differential calculus. Pioneers of Science By the sowl of Newton, that invented fluxions!" replied Mat, "but I'll take revenge for the disgrace you put upon my profession, by stringing up a schoolmaster among you, and I'll hang you all! The Hedge School; The Midnight Mass; The Donagh Traits And Stories Of The Irish Peasantry, The Works of William Carleton, Volume Three Just as this note was going to press, a volume lately published by you was put into my hands, wherein you attempt to defend the fluxions and Principia of Newton. A Budget of Paradoxes, Volume I Whirlpools and fluxions are caused of such other vehement motions, not only in the midst of the sea, but also in creeks and straits. A General History and Collection of Voyages and Travels — Volume 07 The discovery of fluxions, which he claimed, was contested by Leibnitz, and led to a long and bitter controversy between the two philosophers. A Short Biographical Dictionary of English Literature Before Newton had published a single word upon fluxions the differential calculus had made rapid advances on the Continent. The World's Greatest Books — Volume 09 — Lives and Letters From that journey he never returned alive, being attacked with a fatal fluxion of the lungs at a great public banquet given in his honor by Count Florida Blanca. Calvert of Strathore Between French, therefore, and fluxions, and moreover, the French method of fluxions, which is somewhat peculiar, I have had my hands pretty full. Personal Memoirs of a Residence of Thirty Years with the Indian Tribes on the American Frontiers Accordingly they either vomit them up again, or suffer from indigestion, whence come gripings, fluxions, and fevers. The Golden Sayings of Epictetus All is as unsubstantial, as vague and shadowy, as Coleridge's "image of a rock," or Bishop Berkeley's "ghost of a departed quantity," as he once defined a fluxion. Life: Its True Genesis When Mrs. M—— wrote, I was really in danger of a fluxion de poitrine. In the Courts of Memory, 1858 1875; from Contemporary Letters "From his theory of perpetual fluxion," says Archer Butler, "Plato derived the necessity of seeking a stable basis for the universal system in his world of ideas." Beacon Lights of History, Volume 01 The Old Pagan Civilizations "From his theory of perpetual fluxion Plato derived the necessity of seeking a stable basis for the universal system in his world of ideas." The Old Roman World, : the Grandeur and Failure of Its Civilization. Their bodies continually going up and down upon perpetual fluxion, they never could live if their minds did the same, like the minds of stationary landsmen. Mary Anerley : a Yorkshire Tale How they stared at me, Those men of "sensibility," when I said That algebra, conic sections, fluxions, all Pertained to music. Watchers of the Sky The philosophy we want is one of fluxions and mobility. Representative Men The hour-hand of a watch, who can detect the separate fluxions of its advance? Theological Essays and Other Papers — Volume 1 As yet the thickened air concealed the heaven from our view, and the stars were as yet confused with a disorderly huddle of fire and moisture and violent fluxions of winds. Complete Works of Plutarch — Volume 3: Essays and Miscellanies Perhaps he meant that towns are after all excrescences, grey fluxions, where men, hurrying to find one another, have lost themselves. The Longest Journey It is to this method of subjecting everywhere infinity to algebraical calculations, that the name is given of differential calculations or of fluxions and integral calculation. Letters on England In Germany Mr. Leibnitz was considered as the inventor of the differences or moments, called fluxions, and Mr. Bernouilli claimed the integral calculus. Letters on England And yet, shyer than gravitation, less to be counted than the fluxions of sun-dials, stealthier than the growth of a forest, are the footsteps of Christianity amongst the political workings of man. Theological Essays and Other Papers — Volume 1 |
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