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Differential   Listen
noun
Differential  n.  
1.
(Math.) An increment, usually an indefinitely small one, which is given to a variable quantity. Note: According to the more modern writers upon the differential and integral calculus, if two or more quantities are dependent on each other, and subject to increments of value, their differentials need not be small, but are any quantities whose ratios to each other are the limits to which the ratios of the increments approximate, as these increments are reduced nearer and nearer to zero.
2.
A small difference in rates which competing railroad lines, in establishing a common tariff, allow one of their number to make, in order to get a fair share of the business. The lower rate is called a differential rate. Differentials are also sometimes granted to cities.
3.
(Elec.)
(a)
One of two coils of conducting wire so related to one another or to a magnet or armature common to both, that one coil produces polar action contrary to that of the other.
(b)
A form of conductor used for dividing and distributing the current to a series of electric lamps so as to maintain equal action in all.
Partial differential (Math.), the differential of a function of two or more variables, when only one of the variables receives an increment.
Total differential (Math.), the differential of a function of two or more variables, when each of the variables receives an increment. The total differential of the function is the sum of all the partial differentials.






Collaborative International Dictionary of English 0.48








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"Differential" Quotes from Famous Books



... imitated by his scholars; for it is not this faculty which made him their ideal, however it may have attracted them. All which sensible men deplore in him is that which poetasters have exalted in him. His morbidity and his doubt have become in their eyes his differential energy, because too often, it was all in him with which they had wit to sympathise. They found it easy to curse and complain, instead of helping to mend. So had he. They found it pleasant to confound institutions with the abuses ...
— Literary and General Lectures and Essays • Charles Kingsley

... have to deduce that the force which confines the planet to its orbit is directed towards the sun. Gently entreated by the differential and integral calculus, already the formula is beginning to voice itself. My concentration redoubles, my mind is set upon seizing the radiant ...
— The Life of the Fly - With Which are Interspersed Some Chapters of Autobiography • J. Henri Fabre

... The differential diagnosis involves consideration of the characteristics of the insane, defective, and epileptic. We repeat that we agree that the mentally abnormal person may engage in pathological lying quite apart from any expression ...
— Pathology of Lying, Etc. • William and Mary Healy

... functionally allied. The actual coA"fficient sought is the difference effected, in functional value, in one of two independent variables. For all formulA| in differentiation are constructed on the hypothesis that only one of two variables suffers change. The differential coA"fficient has yet to be determined which shall express the developmental changes in two variables at once. When, therefore, we attempt to extend the formulA| of differentiation to plant and animal life, we are confronted by a very formidable difficulty ...
— Life: Its True Genesis • R. W. Wright

... we commit ourselves to the current as if the port were sure. We live, as it, were, upon the front edge of an advancing wave- crest, and our sense of a determinate direction in falling forward is all we cover of the future of our path. It is as if a differential quotient should be conscious and treat itself as an adequate substitute for a traced-out curve. Our experience, inter alia, is of variations of rate and of direction, and lives in these transitions more than in the journey's end. ...
— The Meaning of Truth • William James

... likewise a tolerable scholar, a detestable poet, an intriguing politician, and a corrupt financier. He was regularly in the pay of Sir Thomas Gresham, to whom he furnished secret information, for whom he procured differential favors, and by whose government he was rewarded by gold chains and presents of hard cash, bestowed as secretly as the equivalent was conveyed adroitly. Nevertheless, although his venality was already more than suspected, and although his peculation, during his ...
— The Rise of the Dutch Republic, 1555-1566 • John Lothrop Motley

... this difficulty in unweaving the maze, has its source in a misconception of the original machinery by which Christianity moved, and of the initial principle which constituted its differential power. In books, at least, I have observed one capital blunder upon the relations which Christianity bears to Paganism: and out of that one mistake, grows a liability to others, upon the possible relations of Christianity to the total drama of this world. I ...
— Theological Essays and Other Papers v1 • Thomas de Quincey

... this 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 ...
— The Short-story • William Patterson Atkinson

... whether or not a stone exhibits twin colors, or dichroism, as it is called. (The term signifies two colors.) A well-trained eye can, however, by viewing a stone in several different positions, note the difference in shade of color caused by the differential absorption. ...
— A Text-Book of Precious Stones for Jewelers and the Gem-Loving Public • Frank Bertram Wade

... of Plato, therefore, with respect to their subjects, may be divided into the speculative, the practical, and such as are of a mixed nature. The subjects of these last are either general, comprehending both the others; or differential, distinguishing them. The general subject are either fundamental, or final: those of the fundamental kind are philosophy, human nature, the soul of man; of the final kind are love, beauty, good. The differential regard knowledge, as it stands related to practice; in which are considered two questions: ...
— Introduction to the Philosophy and Writings of Plato • Thomas Taylor

... varieties of dogs—and the like is true of other fancy-bred animals—are rated and graded in aesthetic value somewhat in proportion to the degree of grotesqueness and instability of the particular fashion which the deformity takes in the given case. For the purpose in hand, this differential utility on the ground of grotesqueness and instability of structure is reducible to terms of a greater scarcity and consequent expense. The commercial value of canine monstrosities, such as the prevailing styles of pet dogs both for men's ...
— The Theory of the Leisure Class • Thorstein Veblen

... proportion, comparison &c 464; progression; arithmetical progression, geometrical progression, harmonical progression^; percentage, permilage. figurate numbers^, pyramidal numbers, polygonal numbers. power, root, exponent, index, logarithm, antilogarithm; modulus, base. differential, integral, fluxion^, fluent. Adj. numeral, complementary, divisible, aliquot, reciprocal, prime, relatively prime, fractional, decimal, figurate^, incommensurable. proportional, exponential, logarithmic, logometric^, differential, ...
— Roget's Thesaurus of English Words and Phrases: Body • Roget

... longed inexpressibly to hide his new phase of trouble from the chattering throng of people who were curious to know about them. To know? As if they could know! They might better sit down to gossip over the secrets of the differential ...
— His Sombre Rivals • E. P. Roe

... the conversation is below the noise level, simply because conversation is patterned. But this little generator of mine was non-random. It was the multiple recording of ten thousand different conversations, all meaningless, against a background of "white" noise. Try that one on your differential analyzers. ...
— A Spaceship Named McGuire • Gordon Randall Garrett

... mercury, administered to it 'cold without,' or spirits of wine diluted with water. Celsius followed, and advised a medium fluid, so that his thermometer is known as the centigrade. De Lisle made such important improvements, that they have never been attended to; and Mr. Sex's differential thermometer has given rise to considerably more than a half-dozen different opinions. All these persons have written learnedly on the subject, blowing respectively hot or cold, as their tastes vary. The most recent ...
— Punch, or the London Charivari, Volume 1, Complete • Various

... Differential rates are recognized to be legitimate. Railroads are allowed to charge a less rate for wheat intended for export than that intended for local consumption. There has sometimes been a wide difference between the freight ...
— The Young Farmer: Some Things He Should Know • Thomas Forsyth Hunt

... the clinical importance of a leucocytosis, it is not sufficient merely to count the aggregate number of leucocytes present. A differential count must be made to determine which variety of cells is in excess. In the majority of surgical affections it is chiefly the granular polymorpho-nuclear neutrophile leucocytes that are in excess (ordinary leucocytosis). ...
— Manual of Surgery - Volume First: General Surgery. Sixth Edition. • Alexis Thomson and Alexander Miles

... English throne as George I. The letters which Leibnitz interchanged with his daughter-in-law, gave rise to the correspondence, continued to his death, with Clarke, who defended the theology of Newton against him. The contest for priority between Leibnitz and Newton concerning the invention of the differential calculus was later settled by the decision that Newton invented his method of fluxions first, but that Leibnitz published his differential calculus earlier and in a more perfect form. The variety of pursuits in which Leibnitz was engaged ...
— History Of Modern Philosophy - From Nicolas of Cusa to the Present Time • Richard Falckenberg

... pictures and the architecture. The critics who complain of the sickly separation of the beauty of nature from the thing to be done, must consider that our hunting of the picturesque is inseparable from our protest against false society. Man is fallen; nature is erect, and serves as a differential thermometer, detecting the presence or absence of the divine sentiment in man. By fault of our dulness and selfishness we are looking up to nature, but when we are convalescent, nature will look up to us. We see the foaming brook with compunction: ...
— Essays, Second Series • Ralph Waldo Emerson

... if you're right," said Warburton reflectively. "In any case, I know as much about art as I do about the differential calculus. To make money is a good and joyful thing as long as one doesn't bleed the poor. So go ahead, my son, ...
— Will Warburton • George Gissing

... upon the perfect balancing of the two sides of a differential electric circuit. A conventional diagram, fig. 19, gives a schematic outline of the connections. The two galvanometer coils, fl and fr, are wound differentially and both coils most carefully balanced so that the two windings have equal temperature ...
— Respiration Calorimeters for Studying the Respiratory Exchange and Energy Transformations of Man • Francis Gano Benedict

... cognizable to us, it falls exclusively within and never without the routine of Nature; and as universality is the characteristic of that routine, they do not hesitate, on behalf of science, to affirm that the Divine action is never addressed to specific or differential results, but always to universal or identical ones. In short, they logically refuse to the Divine power as exhibited in Nature all personal or moral quality, as inferring on the part of Deity any possible unequal or inequitable ...
— The Atlantic Monthly, Volume 17, No. 100, February, 1866 • Various

... his influence.* The history of synthetic projective geometry has little to do with the work of the great philosopher Descartes, except in an indirect way. The method of algebraic analysis invented by him, and the differential and integral calculus which developed from it, attracted all the interest of the mathematical world for nearly two centuries after Desargues, and synthetic geometry received scant attention during the rest of the seventeenth ...
— An Elementary Course in Synthetic Projective Geometry • Lehmer, Derrick Norman

... he would be as unable to compose symphonies as Archimedes would have been to invent an electric dynamo. How many creators have been wrecked because the conditions necessary for their inventions were lacking? Roger Bacon foresaw several of our great discoveries; Cardan, the differential calculus; Van Helmont, chemistry; and it has been possible to write a book on the forerunners of Darwin.[71] We talk so much of the free flight of imagination, of the all-comprehensive power of the creator, that we forget the sociological conditions—not to mention others—on ...
— Essay on the Creative Imagination • Th. Ribot

... dear, disagreeable old 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 when you ...
— The Recollections of Geoffrey Hamlyn • Henry Kingsley

... an' put the other one on his mettle; an' they certainly did get more comfort an' brotherly love out of it than most folks does out of a prayer-meetin'; but after Dick went away the' wasn't no more quarrels. No, they was as differential as a pair of Japanese ambassadors; an' she never called him Dad again—never once! an' I could see him a-hunngerin' for it with the look in his eyes a young cow has when she is huntin' for the little wet calf the coyotes has beat her to. It was allus, "Yes, sir," or "No, sir," ...
— Happy Hawkins • Robert Alexander Wason

... the Dutch, it differs still more from the proper Low German dialects of Westphalia, Oldenburg, and Holstein; all of which have the differential characteristics of the Dutch in a greater degree than ...
— The Ethnology of the British Colonies and Dependencies • Robert Gordon Latham

... of higher order (with, however, increasing labor). Further, the calculation of the cost of cutting and embanking for railways by the method of Bruckner & Culmann, the solution of a very considerable number of rather complex differential equations, various problems in the storage of water, and a great variety of statistical questions may all be completely dealt with, or very much simplified by aid of ...
— Scientific American Supplement, No. 794, March 21, 1891 • Various

... As examples of the differential treatment meted out to Ireland which is not of a nature to impress her with confidence in English methods may be mentioned the fact that the Irish militia are drafted out of the country for their training, that no citizen army of volunteers is permitted, ...
— Ireland and the Home Rule Movement • Michael F. J. McDonnell

... engaged in making a cave in the ice which was to serve as a larder, and this strenuous work continued until the cave was large enough to hold all the mutton, and a considerable quantity of seal and penguin. Close to this larder Simpson and Wright were busy in excavating for the differential magnetic hut. ...
— The Voyages of Captain Scott - Retold from 'The Voyage of the "Discovery"' and 'Scott's - Last Expedition' • Charles Turley

... a reasonable interval. I am not yet in a position to say what will be a reasonable interval, but time must be given to the new Assembly to take stock of the position and to consider the labour question as a whole. I said just now there would be a clause with regard to differential legislation as between white persons and others, and to this clause will be added the words: "No law will be assented to which sanctions any condition of service or residence of a servile character." We have been invited to use the word "slavery" or the ...
— Liberalism and the Social Problem • Winston Spencer Churchill

... of phrases, so far from obstructing his study, was in reality an aid to his thinking and a spur to excellence—not excellence over others, but over himself. There were moments, doubtless, long moments too, in which he forgot Homer and Cicero and differential calculus and chemistry, for "the bonnie lady-lassie,"—that was what he called her to himself; but it was only, on emerging from the reverie, to attack his work with fresh vigour. She was so young, so plainly girlish, that as yet there was no room ...
— Sir Gibbie • George MacDonald

... mine was, perhaps, not more important, but it was, on the whole, better calculated to startle the prevailing preconceptions; for, as to the new system of morals introduced by Christ, generally speaking, it is too dimly apprehended in its great differential features to allow of its miraculous character being adequately appreciated; one flagrant illustration of which is furnished by our experience in Affghanistan, where some officers, wishing to impress Akhbar Khan with the beauty ...
— Memorials and Other Papers • Thomas de Quincey

... a lively contrast to the late scene. Mr. and Mrs. Penruddock were full of intelligence and animation. Their welcome of Mr. Thornberry was exactly what it ought to have been; respectful, even somewhat differential, but cordial and unaffected. They conversed on all subjects, public and private, and on both seemed equally well informed, for they not only read more than one newspaper, but Mrs. Penruddock had an extensive correspondence, the conduct of which was one ...
— Endymion • Benjamin Disraeli

... objects shown by other exhibitors must be mentioned Prof. Von Waltenhofen's differential electromagnetic balance. In this, two iron cylinders are suspended from the extremities of a balance. One of them is of solid iron, and the other is of thin sheet iron and of larger diameter and is balanced by an additional weight. ...
— Scientific American Supplement, No. 421, January 26, 1884 • Various

... but charged on the higher scale. Vessels were therefore forced to enter the port entirely devoid of cargo, or carrying sufficient to cover the expense of the increased harbor dues; almost an impossibility for foreign ships, on account of the differential customs rates, which acted almost as a complete prohibition. The result was that foreign vessels came there only in ballast, or when summoned for some ...
— The Former Philippines thru Foreign Eyes • Fedor Jagor; Tomas de Comyn; Chas. Wilkes; Rudolf Virchow.

... by aid of which ordinary differential equations, especially linear ones, can be solved, the solution being given as a curve. The first suggestion in this direction was made by Lord Kelvin. So far no really useful instrument has been made, although the ideas seem sufficiently developed ...
— Encyclopaedia Britannica, 11th Edition, Volume 4, Part 4 - "Bulgaria" to "Calgary" • Various

... some of the Jewish philanthropists and the fluent oratory of all; even while he realized the pettiness of their outlook and their reluctance to face facts. They were timorous, with a dread of decisive action and definitive speech, suggesting the differential, deprecatory corporeal wrigglings of the mediaeval few. They seemed to keep strict ward over the technical privileges of the different bodies they belonged to, and in their capacity of members of the Fiddle-de-dee to ...
— Children of the Ghetto • I. Zangwill

... 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 ...
— Philistia • Grant Allen

... wish my mother could see me now with a grease-gun under my car, Filling my differential, ere I start for the camp afar, Atop of a sheet of frozen iron, in cold that'd make you cry. "Why do we do it?" you ask. "Why? We're the F.A.N.Y." I used to be in Society—once; Danced, hunted, and flirted—once; Had white hands and ...
— Fanny Goes to War • Pat Beauchamp

... simpler. They spoke the language which afterwards became the Anglo-Saxon of Alfred, and the English of Milton. In this we have the first and most definite of their differential characteristics—the characteristics which distinguished them from the closely allied Cheruscans, Chamavi, Angrivarii ...
— The Ethnology of the British Islands • Robert Gordon Latham

... together to one pole. Examples of this are Syromaster, Phylloxera, Agalena. In a third class the sex-chromosome is accompanied by a fellow which is usually smaller, and the two separate at the differential division. The sizes of the two differ in different degrees, from cases as in many Coleoptera and Diptera in which the smaller chromosome is very minute, to those (Benacus, Mineus) in which it is almost as large ...
— Hormones and Heredity • J. T. Cunningham

... of coloured goods are sent here, are always shipped in Spanish vessels at a very high rate of freight, being generally about double what British ships would be glad to take them for, did not the differential duties in favour of the Spanish flag put all this carrying business beyond their reach. A very large—in fact, probably by much the greatest—quantity of goods, is in consequence of this navigation law, carried by British shipping from our seaports at ...
— Recollections of Manilla and the Philippines - During 1848, 1849 and 1850 • Robert Mac Micking

... space which is not in essence inherent in the theory of the relativity of space. But this doctrine has never really been accepted in science, whatever people say. What appears in our dynamical treatises is Newton's doctrine of relative motion based on the doctrine of differential motion in absolute space. When you once admit that the points are radically different entities for differing assumptions of rest, then the orthodox formulae lose all their obviousness. They were only obvious because you were really thinking of something else. When discussing ...
— The Concept of Nature - The Tarner Lectures Delivered in Trinity College, November 1919 • Alfred North Whitehead

... partly due to favorable flow of ocean currents. It had been noted that there was such an interweaving of cool and warm currents all over the globe that a relatively even temperature was maintained throughout. Some differential in spots, of course, enough to cause rainfall, but no real violence of storms, not as we classified hurricanes, typhoons, tornadoes here ...
— Eight Keys to Eden • Mark Irvin Clifton

... contents of the lesions, in impetigo contagiosa; the tendency to appear in groups, the smaller lesions, the intense itchiness, course, multiform characters of the eruption and the disposition to change of type in dermatitis herpetiformis,—will serve as differential points. ...
— Essentials of Diseases of the Skin • Henry Weightman Stelwagon

... weight of the engine comes on these spokes, those nearest the ground are compressed and those, at the top are elongated a little. In order to avoid any of the driving strain passing through the springs, a strong arm is fixed on the differential wheel and attached to the rim as shown in Fig. 2, so that the springs have really no work to do beyond carrying the weight of the engine. Messrs. McLaren naturally felt a certain amount of diffidence in placing their invention ...
— Scientific American Supplement, No. 401, September 8, 1883 • Various

... exactly the same reflectivity from crystallized plastic that you get from molecules of atmosphere, no matter how scientifically the pouring and layering is controlled. It's—they're two different materials. Leaving aside the ion-index differential and quality of incident light, ...
— Zero Data • Charles Saphro

... know what I thought concerning the tariff on aluminium hydrates, and how I stood about the opening of the Tento Pu Reservation of the Comanche Indians, and what were my ideas about the differential rate of hauls from ...
— A Gentleman from Mississippi • Thomas A. Wise

... light in the dark-adapted eye. The cones perhaps become somewhat dark-adapted, but the rods far outstrip them in this direction. The fovea has no rods and hence is of little use in very faint light. The rods have no differential responsiveness to different wave-lengths, remaining still in the "first stage" in the development of color vision, and consequently no colors are ...
— Psychology - A Study Of Mental Life • Robert S. Woodworth

... to Waterloo, in order categorical; 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

... surds; the logarithmic theorem and series, converging and diverging. I got Todhunter's larger 'Plane Trigonometry,' and read it, with the theorems contained in it; then his 'Spherical Trigonometry;' his 'Analytical Geometry, of Two Dimensions,' and 'Conics.' I next obtained De Morgan's 'Differential and Integral Calculus,' then Woolhouse's, and lastly, Todhunter's. I found this department of mathematics difficult and perplexing to the last degree; but I mastered it sufficiently to turn it to some account. This last mathematical course represents ...
— Men of Invention and Industry • Samuel Smiles

... sleeves are carburized and pushed on malleable-iron differential-case hubs. Formerly, these sleeves were given two treatments after carburization in order to refine the case and the core, and then sent to the grinding department, where they were ground to a push fit for the hubs. After ...
— The Working of Steel - Annealing, Heat Treating and Hardening of Carbon and Alloy Steel • Fred H. Colvin

... to them that the French worker was paid 100 per cent. more, they brooded over the inequality and labeled it as they were told. For overwork, too, the rate of pay was still more unequal. One result of this differential treatment was the estrangement of the two races as represented by the two classes of workmen, and the growth of mutual dislike. But there was another. When they learned, as they did in time, that the employer was selling the produce of their ...
— The Inside Story Of The Peace Conference • Emile Joseph Dillon

... other name. It was a junkyard. In it were car parts, wrecks with parts undamaged, whole motors rusting in the air, axles, wheels, differential assemblies and transmissions from a thousand cars of a thousand different parentages. Hubcaps abounded in piles sorted to size and shape. Jake drove the little pickup truck into an open shed. The tire and wheel ...
— The Fourth R • George Oliver Smith

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

... optics are of world-wide renown. The law of gravitation was established by him, and set forth in his paper De Motu Corporum. His treatise on Fluxions prepared the way for that wonderful mathematical, labor-saving instrument—the differential calculus. In 1687 he published his Philosophiae Naturalis Principia Mathematica, in which all his mathematical theories are propounded. In 1696 he was made Warden of the Mint, and in 1699 Master of the Mint. Long a member of the Royal Society, he was its president for the ...
— English Literature, Considered as an Interpreter of English History - Designed as a Manual of Instruction • Henry Coppee

... the interposition of the chairman, were calculated to sustain the excitement; and when, on the 29th of May, it was known that the report was at length agreed to, and that a committee of free traders had absolutely recommended a differential duty of 10s. in favour of our own produce, one might have fancied from the effect visibly produced, that a government ...
— Lord George Bentinck - A Political Biography • Benjamin Disraeli

... rarity, vulgarity, or technicality, but which may very well exclude those which are most familiar. As to encyclopaedias, their value is chiefly as supplements to the library; but surely no one studies anatomy, or the differential calculus, or architecture, in them, however good the treatises may be. I want a dictionary of miscellaneous subjects, such as find place more easily in an encyclopaedia than anywhere else; but why must I also purchase treatises on the higher mathematics, on navigation, on practical engineering, ...
— Notes and Queries, Number 208, October 22, 1853 • Various

... when a lovely face, thrilling in its awakened emotion, met his glance at the window of a carriage. He dispatched his luggage to the Faucon, and sprang lightly in the carriage when the omnibuses had departed for the Lausanne plateau. Alan Hawke was carefully differential in his greeting and he meekly answered all the rapid ...
— A Fascinating Traitor • Richard Henry Savage

... three shots. One hit the back lamp of the automobile, smashing the red glass, and another hit the differential case and glanced off. But the wheels remained untouched, and in a few seconds the big touring car was out of sight around a bend. The lads heard a scream from the two girls, and then all that reached their strained ears ...
— The Rover Boys in the Air - From College Campus to the Clouds • Edward Stratemeyer

... Raising Weights.—I do not propose to take space by describing jacks, ordinary pulleys, differential pulleys, Chinese windlasses, and the like. It is sufficient that I should recall them by name to the traveller's recollection; for if he has access to any of these things he is probably either a sailor or engineer and knows all about them, or he is in a land ...
— The Art of Travel - Shifts and Contrivances Available in Wild Countries • Francis Galton

... We have actually succeeded in wringing from the tenacious and inflexible Cabinet of St Petersburg an important commercial advantage! On Lord Aberdeen's accession to office, he found Russia in the act of aiming a fatal blow at a very important branch of our shipping trade, by levying a differential duty on all British vessels conveying to Russian ports any goods which were not the produce of the British dominions. After, however, a skilful and very arduous negotiation, our foreign secretary has succeeded in averting that blow—and we retain the ...
— Blackwood's Edinburgh Magazine, No. CCCXXXIX. January, 1844. Vol. LV. • Various

... truth draws upward. This to us Of steady happiness should be a cause Beyond the differential calculus Or Kant's ...
— The Poems of Henry Kendall • Henry Kendall

... that he always joked about his popularity with the negroes of Canada. He told a story of a meeting in Montreal at a little public-house called "Uncle Tom's Cabin." Here he was addressing an audience containing a considerable number of dark men. Mr. Holton, his colleague, had orated about differential duties, very dry and Yankee- like, as usual. McGee followed in one of his arousing speeches. When he sat down, the respected negro landlord of "Uncle Tom's Cabin" got up to move a vote of confidence. And, according ...
— Canada and the States • Edward William Watkin

... voluntarily took up residence in Japan answerable to the law of the land and under the jurisdiction of the Japanese courts. The revenue of the country was also, of course, injuriously effected by the post-office privileges already referred to as well as by the differential treatment of foreigners in regard to import duties. As was to be expected, any proposal for the abolition of extra-territorial rights and the revision of the regulations in regard to import duties met with a strenuous opposition from the foreign residents in Japan. On the other hand, ...
— The Empire of the East • H. B. Montgomery

... "I did 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; that was two ...
— Facing Death - The Hero of the Vaughan Pit. A Tale of the Coal Mines • G. A. Henty

... in telephony, the electromagnets are provided with more than one winding. One purpose of the double-wound electromagnet is to produce the so-called differential action between the two windings, i.e., making one of the windings develop magnetization in the opposite direction from that of the other, so that the two will neutralize each other, or at least exert different and opposite influences. The principle of the ...
— Cyclopedia of Telephony & Telegraphy Vol. 1 - A General Reference Work on Telephony, etc. etc. • Kempster Miller

... liti or freedmen of the continental laws, and who possessed wergilds of 80, 60 and 40 shillings respectively. To these we find nothing analogous in the other kingdoms, though the poorer classes of Welsh freemen had wergilds varying from 120 to 60 shillings. It should be added that the differential treatment of the various classes was by no means confined to the case of wergilds. We find it also in the compensations to which they were entitled for various injuries, in the fines to which they were liable, ...
— Encyclopaedia Britannica, 11th Edition, Volume 4, Part 3 - "Brescia" to "Bulgaria" • Various

... much to be desired; in many cases a cake is put in a cardboard box and lightly wrapped up in brown paper," a statement that is important in view of the common opinion that British parcels were specially maltreated. The idea of differential treatment had indeed become an obsession. An example of the extraordinary nonsense that is believed is the story that "on the hospital ship, Oxfordshire, on March 19, sixty wounded British soldiers, the majority of them from the Black Watch and 6th Gordon regiments, were taken ...
— The Better Germany in War Time - Being some Facts towards Fellowship • Harold Picton

... pass with comparative freedom through the aqueous vapour of the air: the absorbing power of this substance being mainly exerted upon the invisible heat that endeavours to escape from the earth. In consequence of this differential action upon solar and terrestrial heat, the mean temperature of our planet is higher than is due to its distance from ...
— Fragments of science, V. 1-2 • John Tyndall

... much more than the individual. We shall take it for granted that British and Irish products and manufactures enjoy a preference on import into the colonies, over imports from foreign countries, of at least five per cent, resulting from differential duties in favour of the parent state: it may be more, and we believe it will be found more; but such is the preference. This profit must be all to the account of the British exporter; for it is not received by the colonial custom-house, and whatever the reduction of prices by ...
— Blackwood's Edinburgh Magazine, Volume 54, No. 337, November, 1843 • Various

... 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 ...
— The Miller Of Old Church • Ellen Glasgow

... 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 students in the out-door branches,—botany, ...
— The Autocrat of the Breakfast-Table • Oliver Wendell Holmes, Sr. (The Physician and Poet not the Jurist)

... exhibit various reasons, more or less sound, for attributing to the primordial fluid some slight amount of friction; and in support of this view they adduce Le Sage's explanation of gravitation as a differential result of pressure, and Struve's theory of the partial absorption of light-rays by the ether,—questions with which our present purpose does not require us to meddle. Apart from such questions it is every ...
— The Unseen World and Other Essays • John Fiske

... 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 ...
— Little Fuzzy • Henry Beam Piper

... 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 Board ...
— Ade's Fables • George Ade

... DIFFERENTIAL WEATHERING. This term covers all cases in which a rock mass weathers differently in different portions. Any weaker spots or layers are etched out on the surface, leaving the more resistant in relief. Thus massive limestones become pitted where the weather drills out the weaker ...
— The Elements of Geology • William Harmon Norton

... firing at night. The works manager, Mr. Nathan, whose Christian name was Abraham, said that she'd done eighty miles an hour with him easily; but the only time I got her over fifty she broke her differential by way of an argument, and nothing but a soft place in a hayfield saved me from the hospital. All of which, of course, was good advertisement for the firm—and, truly, if it came to making a noise in the world, why, you could hear their ...
— The Man Who Drove the Car • Max Pemberton

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

... one-sixth. The total trade of the country amounted, in round figures, to about L5,000,000 sterling in imports, and somewhat less in exports The imports were chiefly manufactures from Great Britain, and the exports were lumber, wheat and fish. Those were days when colonial trade was stimulated by differential duties in favour of colonial products, and the building of vessels was encouraged by the old navigation laws which shut out foreign commerce from the St. Lawrence and the Atlantic ports, and kept the carrying trade between Great Britain and the colonies in ...
— Canada under British Rule 1760-1900 • John G. Bourinot

... wheels which has been applied in practice to the greatest extent and to the most purposes, is probably that in which the axial motions of the train are derived from a fixed sun wheel. Numerous examples of such trains are met with in the differential gearing of hoisting machines, in portable horse-powers, etc. The action of these mechanisms has already been fully discussed; it may be remarked in addition that unless the speed be very moderate, it is found advantageous ...
— Scientific American Supplement, Vol. XIX, No. 470, Jan. 3, 1885 • Various

... again, spaceman," breathed Astro. "One more lesson on the differential potential between chemical-burning rocket fuels and reactant energy and I'll blast off without ...
— The Space Pioneers • Carey Rockwell

... and 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. ...
— Outline of Universal History • George Park Fisher

... stability of life. The nerves are more annoyed, the thinking self less. Perhaps the difference between the two kinds of life may be tentatively expressed—not necessarily accounted for—in terms of Differential ...
— A Poor Man's House • Stephen Sydney Reynolds

... progression, harmonical progression[obs3]; percentage, permilage. figurate numbers[obs3], pyramidal numbers, polygonal numbers. power, root, exponent, index, logarithm, antilogarithm; modulus, base. differential, integral, fluxion[obs3], fluent. Adj. numeral, complementary, divisible, aliquot, reciprocal, prime, relatively prime, fractional, decimal, figurate[obs3], incommensurable. proportional, exponential, logarithmic, ...
— Roget's Thesaurus

... 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 in ...
— The Einstein See-Saw • Miles John Breuer

... between the sexes result from education, and are not inborn. Others, however, assume that the psychical characteristics by which the sexes are differentiated result solely from individual differences in education. Stern believes that in the case of one differential character, at least, he can prove that for many centuries there has been no difference between the sexes in the matter of education; this character is the capacity for drawing. Kerschensteiner has studied the development of this gift, and considers that his ...
— Introduction to the Science of Sociology • Robert E. Park

... the good fortune to divine the future course of piano development, as also did Schumann. Both took for the strategic center of the piano the principle of what has been called the "differential touch," or discrimination in touch, by means of which not only long passages of different kinds were discriminated from one another, as in the Thalbergian melodies and their surrounding arabesques, but the infinitely finer discriminations which ...
— The Masters and their Music - A series of illustrative programs with biographical, - esthetical, and critical annotations • W. S. B. Mathews

... When he was sixteen we learn that he had read conic sections, and that he was engaged in the study of pendulums. After an attack of illness, he was moved for change to Dublin, and in May, 1822, we find him reading the differential calculus and Laplace's "Mecanique Celeste." He criticises an important part of Laplace's work relative to the demonstration of the parallelogram of forces. In this same year appeared the first gushes of those poems which ...
— Great Astronomers • R. S. Ball

... DIFFERENTIAL DIAGNOSIS.—The diagnosis of hog-cholera in the field must depend on the clinical symptoms, post-mortem lesions and history of the outbreak. The history should be that of ...
— Common Diseases of Farm Animals • R. A. Craig, D. V. M.

... be good enough looking. I can read it from almost every fellow that comes near me. I wonder why? I mean, why me and not Marjorie over in the Main Office? She's a sweet girl, but she never gets a second look from the guys. There must be some fine differential point I'm missing somewhere, but I don't ...
— Second Sight • Alan Edward Nourse

... general theory of relativity as opposed to the ether of Lorentz consists in this, that the state of the former is at every place determined by connections with the matter and the state of the ether in neighbouring places, which are amenable to law in the form of differential equations; whereas the state of the Lorentzian ether in the absence of electromagnetic fields is conditioned by nothing outside itself, and is everywhere the same. The ether of the general theory of ...
— Sidelights on Relativity • Albert Einstein

... then woman, though she protests that she does not require it, and that she does not receive it, practically always does receive differential treatment at the hands ...
— The Unexpurgated Case Against Woman Suffrage • Almroth E. Wright

... forester. "I've broken the differential. I bet ten dollars on it." And investigation proved his diagnosis was correct. "I suppose it will take all summer to get a new part," growled the forester. "This truck will have to stand here idle until repairs come. But we can't stand here idle. ...
— The Young Wireless Operator—As a Fire Patrol - The Story of a Young Wireless Amateur Who Made Good as a Fire Patrol • Lewis E. Theiss

... schedule is concerned, I would be glad, under existing aggravations, to see every particle of differential duty in favor of refined sugar stricken out of our tariff law. If with all the favor now accorded the sugar-refining interest in our tariff laws it still languishes to the extent of closed refineries and thousands of discharged workmen, it would seem to ...
— Compilation of the Messages and Papers of the Presidents - Volume 8, Section 2 (of 2): Grover Cleveland • Grover Cleveland

... fast building up a sentiment favoring them before the lower-priced Barcelona variety. The Barcelona is a more vigorous tree and shells out of the husk 75% whereas the Du Chilly is but 40% self husking, but that will not offset the differential of five to ten cents per pound in favor of the ...
— Northern Nut Growers Association Report of the Proceedings at the Fifteenth Annual Meeting • Various

... super-excellence of Southern manhood, and the infinite superiority of Southern womanhood; to doubt the incapacity of the negro for self-maintenance and civilization; to doubt, in short, all those dogmas which constitute the differential characteristics of "the Southern man." He had gone so far—a terrible distance to one of his origin—as to admit the possibility of error. He had begun to question—God forgive him, if it seemed like sacrilege—he had begun to question whether ...
— Bricks Without Straw • Albion W. Tourgee

... containing many of the best observations 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 to deal with them, with little ...
— Autobiography • John Stuart Mill

... received in England; 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 ...
— Lippincott's Magazine, Vol. 22, September, 1878 • Various

... perhaps be maintained, that with time and patience, one might train a rather stupid plough-boy to understand the differential calculus. This might be done with the help of an inward desire on the part of the boy to learn, but never otherwise. If the boy wants to learn or to improve generally, he will do so in spite of every hindrance, till in time he becomes a very different ...
— Life and Habit • Samuel Butler

... instant; and likewise the position of the material points of a system defined and isolated by science is determined by the position of these same points at the moment immediately before. In other words, the laws that govern unorganized matter are expressible, in principle, by differential equations in which time (in the sense in which the mathematician takes this word) would play the role of independent variable. Is it so with the laws of life? Does the state of a living body find its complete explanation in the state immediately before? Yes, if it is agreed a priori to liken ...
— Creative Evolution • Henri Bergson



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