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Differential   /dˌɪfərˈɛnʃəl/  /dˌɪfərˈɛntʃəl/   Listen
Differential

noun
1.
The result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx.  Synonyms: derivative, derived function, differential coefficient, first derivative.
2.
A quality that differentiates between similar things.
3.
A bevel gear that permits rotation of two shafts at different speeds; used on the rear axle of automobiles to allow wheels to rotate at different speeds on curves.  Synonym: differential gear.



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"Differential" Quotes from Famous Books



... day that a considerable change had taken place in our position relative to the Rampart Berg. It appeared that a big lead had opened and that there had been some differential movement of the pack. The opening movement might presage renewed pressure. A few hours later the dog teams, returning from exercise, crossed a narrow crack that had appeared ahead of the ship. This crack opened quickly to 60 ft. and would have given us trouble if the dogs ...
— South! • Sir Ernest Shackleton

... 1823—Differential motion for roving frames patented by Arnold. First export of raw cotton from Egypt ...
— Textiles • William H. Dooley

... This differential spacing in a line of capitals will also be required in a line having abbreviations or initials. The following line, spaced with en-quads throughout, has unnecessarily wide ...
— Capitals - A Primer of Information about Capitalization with some - Practical Typographic Hints as to the Use of Capitals • Frederick W. Hamilton

... 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 for dread or jealousy; the feeling in ...
— Sir Gibbie • George MacDonald

... back to the hotel, I found Eugene with news that the differential of my car had broken, so that we could not start. It was important that we lose no time in getting the plans of the town to the German authorities, so I got Baron van der Elst to go with me to the General Staff ...
— A Journal From Our Legation in Belgium • Hugh Gibson

... is effected by means of continuity and of correlations which have a certain differential independence of other "things." That is to say, given a particular in one perspective, there will usually in a neighbouring perspective be a very similar particular, differing from the given particular, to the first order of small quantities, according to a law involving only the ...
— Mysticism and Logic and Other Essays • Bertrand Russell

... summer outfit in Bond Street for twopence. Now, don't look at me like that: be practical, Elsie, and let me help you paint the dado.' For unless I helped her, poor Elsie could never have finished it herself. I cut out half her clothes for her; her own ideas were almost entirely limited to differential calculus. And cutting out a blouse by differential calculus is weary, uphill ...
— Miss Cayley's Adventures • Grant Allen

... work, Menial Hygiene, or an Examination of the Intellect and Passions, designed to illustrate their Influence on Health and the Duration of Life, will be published in the course of the present month. Professor Church's Treatise on Integral and Differential Calculus, a revised edition; The Companion, or After Dinner Table Talk, by Chelwood Evelyn, with a fine portrait of Sydney Smith; The History of Propellers, and Steam Navigation, illustrated by engravings: a manual, said to combine ...
— The International Weekly Miscellany, Volume I. No. 8 - Of Literature, Art, and Science, August 19, 1850 • Various

... 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

... 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 ...
— The Elements of Geology • William Harmon Norton

... 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 ...
— Philistia • Grant Allen

... 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 the ...
— A Gentleman from Mississippi • Thomas A. Wise

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

... Somerville: "Nothing has afforded me so convincing a proof of the 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. ...
— History of the Warfare of Science with Theology in Christendom • Andrew Dickson White

... 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 ...
— Scientific American Supplement, Vol. XIX, No. 470, Jan. 3, 1885 • Various

... 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 think I'll ...
— Second Sight • Alan Edward Nourse

... was so difficult that it absolutely baffled the ingenuity of Arkwright and his contemporaries and immediate successors, and it was not until about 1825 that the difficulties were solved by the invention of the differential winding motion by Mr. Holdsworth, a well-known Manchester spinner, whose successors are still eminent master ...
— The Story of the Cotton Plant • Frederick Wilkinson

... tumblings had been performed on the three steps that led to the kitchen; and she had addled her tender brains, as well as inflamed the natural greed which is so pardonable in infants, by what was to her a sort of differential calculus before she learned to discriminate nicely among the various jams kept by Mummy in the ...
— The Devil's Garden • W. B. Maxwell

... 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 ...
— The Autocrat of the Breakfast-Table • Oliver Wendell Holmes, Sr. (The Physician and Poet not the Jurist)

... 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, ...
— The Works of Edgar Allan Poe - Volume 2 (of 5) of the Raven Edition • Edgar Allan Poe

... of death. The Professor, passing benevolently on, was glad he had now enough money to carry out his projects. He would be able to publish at once his great work on "The Secondary Variation of the Differential Calculus," that hitherto had languished in manuscript. It would make a sensation, he thought; there was more than one generally accepted theory he had challenged or contradicted in it. And he would put in hand at once his ...
— Uncanny Tales • Various

... single ray from the warmed earth could pass. In like manner, the sun's rays 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

... which prepares for the accurate perception of all the differential details in the qualities of things, is therefore the foundation of the observation of things and of phenomena which present themselves to our senses; and with this it helps us to collect from the external world ...
— Spontaneous Activity in Education • Maria Montessori

... the measure of what can be done in a lifetime by extraordinary ability, keen natural aptitude, exceptional opportunities, and freedom from the preoccupations of bread-winning, what are we to expect from the parliament man to whom political science is as remote and distasteful as the differential calculus, and to whom such an elementary but vital point as the law of economic rent is a pons asinorum never to be approached, much less crossed? Or from the common voter who is mostly so hard at work all ...
— Back to Methuselah • George Bernard Shaw

... exhausted the resources of their fields. So opulent was the black soil that little care was taken save to sow the seed and crudely cultivate it; and the simple prudences, such as rotation of crops, differential fertilizing, and the like, would have been laughed at by the farmer, heedless in the ...
— The Young Man and the World • Albert J. Beveridge

... diagnostic atmosphere to such an extent as to justify one in declaring that, since the discovery of the abscess there could be no doubt of diffuse peritonitis, is hard to understand. According to my training in the worth of differential diagnosis, I should look upon such a diagnosis as most excellent proof that the peritoneum was still intact, and, if the case were handled carefully, its intestine sacredness would remain free from the ...
— Appendicitis: The Etiology, Hygenic and Dietetic Treatment • John H. Tilden, M.D.

... Ah! "The simple forms of machines. The lever, the wedge, the inclined plane—Father—and here we come to further consider the application of this principle, my dear Charles, to what is known as the differential wheel and axle. Um Charles—Father—Charles. Father." (He looks up despairingly at MARY.) No good, my dear. Out of date. (He, however, resumes ...
— The Drone - A Play in Three Acts • Rutherford Mayne

... that smokers were the rule, and non-smokers the exception, among all civilized men, Charles Kingsley supports us here:—"'Man a cooking animal,' my dear Doctor Johnson? Pooh! man is a smoking animal. There is his ergon, his 'differential energy,' as the Aristotelians say,—his true distinction from the ...
— Atlantic Monthly Volume 6, No. 34, August, 1860 • Various

... organs, he showed that the cells on two sides are unequally influenced, on account of different external conditions, and contract unequally, and hence the various movements are produced—that the many anomalous effects, hitherto ascribed to 'specific sensibilities,' are due to the 'differential sensibilities'—differential excitability of anisotropic structures and to the opposite effects of external and internal stimuli—that all varieties of plant movements are capable of a consistent mechanical explanation. ...
— Sir Jagadis Chunder Bose - His Life and Speeches • Sir Jagadis Chunder Bose

... 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

... fired 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 was the sound of the motor, growing fainter ...
— The Rover Boys in the Air - From College Campus to the Clouds • Edward Stratemeyer

... monopoly,—the existence of the high prohibitory differential duty on sugar, is the greatest, strongest, and least answerable argument at present used by slave-holding countries against emancipation. The following was put strongly to ourselves in Amsterdam a short time since by a large slave owner in Dutch Guiana:—"We should ...
— The Economist - Volume 1, No. 3 • Various

... is double, consisting of two components which pass 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 ...
— Hormones and Heredity • J. T. Cunningham

... fundamentally 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 coefficients. This is done by inserting a ...
— Respiration Calorimeters for Studying the Respiratory Exchange and Energy Transformations of Man • Francis Gano Benedict

... the constitution of the British nobility and those broad popular distinctions which determine for each nobility its effectual powers. The next point is, to exhibit the operation of these differential powers in the condition of manners which they produce. But, as a transitional stage lying between the two here described—between the tenure of our aristocracy as a casual principle, and the popular working of our aristocracy as an effect—we will interpose a slight notice of the habits peculiar ...
— Blackwood's Edinburgh Magazine—Vol. 54, No. 333, July 1843 • Various

... easily comprehended economy of the ant-heap and the hive. This sense of the personal presence of an abiding Reality, fulfilling and transcending all our highest values, here in our space-time world of effort, may well be regarded as the differential mark of real spiritual experience, wherever found. It chimes well with the definition of Professor Pratt, who observes that the truly spiritual man, though he may not be any better morally than his non-religious neighbour, "has a confidence in the universe and an inner joy which the other does ...
— The Life of the Spirit and the Life of To-day • Evelyn Underhill

... pleasures, affections, aspirations, capacities, it is thought on that ground to have a special nobility and greatness, and a special power of evoking in the student the feelings themselves. The mathematician, dealing with conic sections, spirals, and differential equations, is in danger of being ultimately resolved into a function or a co-efficient; the metaphysician, by investigating conscience, must become conscientious; driving fat oxen is the ...
— Practical Essays • Alexander Bain

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

... said Dick. "Another hundred yards like this, and even if we don't smash the differential or the chassis, Ropes will get side-slip of the brain. Half an hour of such driving must be equal to a week in Purgatory ...
— The Car of Destiny • C. N. Williamson and A. M. Williamson

... 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 ...
— Literary and General Lectures and Essays • Charles Kingsley

... are frequently encountered by a comparatively high degree of culture associated with a cruel and debasing system of rites and practices which belong to the lowest savagery. Dr. Haddon has usefully suggested the term "differential evolution" for this phenomenon in the culture history of man,[310] and as I find myself in entire agreement with this distinguished anthropologist as to the facts[311] which call for a special terminology, I ...
— Folklore as an Historical Science • George Laurence Gomme

... take a wider view, and consider who will receive and act upon the advice given, and hence what the result will be on the differential birth-rate of ...
— Conception Control and Its Effects on the Individual and the Nation • Florence E. Barrett

... 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 dawn ...
— The Life of the Fly - With Which are Interspersed Some Chapters of Autobiography • J. Henri Fabre

... (1642-1727).—Natural philosopher, b. at Woolsthorpe, Lincolnshire, the s. of a small landed proprietor, and ed. at the Grammar School of Grantham and at Trinity Coll., Camb. By propounding the binomial theorem, the differential calculus, and the integral calculus, he began in 1665 the wonderful series of discoveries in pure mathematics, optics, and physics, which place him in the first rank of the philosophers of all time. He ...
— A Short Biographical Dictionary of English Literature • John W. Cousin

... &c.464; progression; arithmetical progression, geometrical 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, logometric[obs3], differential, fluxional[obs3], integral, ...
— Roget's Thesaurus

... of the beam and the crank shaft have their pedestals in the same horizontal plane. The throw of the crank is five feet. There are two differential plunger pumps, having upper plungers 20 inches in diameter, and lower plungers 33 inches in diameter, with a stroke of 5 feet. These pumps are vertical, and placed beneath the engine bed-plate, to which they are attached by strong brackets. ...
— Scientific American Supplement, No. 492, June 6, 1885 • Various

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

... 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 ...
— Introduction to the Philosophy and Writings of Plato • Thomas Taylor

... of the commercial agreement signed at Madrid the 13th day of February, 1884, it was stipulated and provided that "the duties of the third column of the customs tariffs of Cuba and Puerto Rico, which implies the suppression of the differential flag duty," should at once be applied to the products of and articles proceeding from the ...
— A Compilation of the Messages and Papers of the Presidents - Section 3 (of 3) of Volume 8: Grover Cleveland, First Term. • Grover Cleveland

... 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, and in the value attached to their oaths. ...
— Encyclopaedia Britannica, 11th Edition, Volume 4, Part 3 - "Brescia" to "Bulgaria" • Various

... 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 ...
— Canada under British Rule 1760-1900 • John G. Bourinot

... the differential principle. The lifting chain is passed over two sheaves, each of which is geared internally, the one having one or more teeth in excess of the other. Revolving around these internal teeth is a pinion, actuated by an eccentric, which is ...
— Scientific American, Vol.22, No. 1, January 1, 1870 • Various

... the generator, in such a case, by means of the fly wheel. Or a form of friction drive can be devised, by means of which the rear wheels (jacked up off the floor) may supply the necessary motive power. In such a case it would be necessary to make allowance for the differential in the rear axle, so that the power developed by the engine would be delivered to ...
— Electricity for the farm - Light, heat and power by inexpensive methods from the water - wheel or farm engine • Frederick Irving Anderson

... yet no intention of adopting astronomy as his profession. For two years he continued to work in the counting-house by day, and to pore over the Mecanique Celeste and the Differential Calculus by night. But the post of assistant in Schroeter's observatory at Lilienthal having become vacant by the removal of Harding to Gottingen in 1805, Olbers procured for him the offer of it. It was not without a struggle that he resolved to exchange the desk for the telescope. His reputation ...
— A Popular History of Astronomy During the Nineteenth Century - Fourth Edition • Agnes M. (Agnes Mary) Clerke

... after 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 ...
— Liberalism and the Social Problem • Winston Spencer Churchill

... achievement should not obscure the fame of a host of other justly celebrated scientists and inventors. One of Newton's contemporaries, the German philosopher Gottfried Wilhelm von Leibnitz (1646-1716), elaborated a new and valuable branch of mathematics, the differential calculus, [Footnote: The credit for this achievement was also claimed by Newton.] which has proved to be of immense service in modern engineering. At the same time, the first experiments were being made with the mysterious potencies of electricity: the electrical researches ...
— A Political and Social History of Modern Europe V.1. • Carlton J. H. Hayes

... propagandists pointed out 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 labor at a profit of 400 and 500 ...
— The Inside Story Of The Peace Conference • Emile Joseph Dillon

... discomfiture, and the balanced numbers that so often called for 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 ...
— Lord George Bentinck - A Political Biography • Benjamin Disraeli

... 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 ...
— Cyclopedia of Telephony & Telegraphy Vol. 1 - A General Reference Work on Telephony, etc. etc. • Kempster Miller

... porter of the Hotel Faucon, 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 queries of ...
— A Fascinating Traitor • Richard Henry Savage

... 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 ...
— The Masters and their Music - A series of illustrative programs with biographical, - esthetical, and critical annotations • W. S. B. Mathews

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

... therefore, in the main, have the character of the species and be indistinguishable from it, or show only such differences as escape ordinary observation. When occurring in the seeds of the variety they betray themselves as soon as the differential characters are displayed. Between the thousands of flowering plants of a white variety the hybrids will instantly catch the eye by their red or blue corollas. Quite the contrary effect results from the admixture of hybrids ...
— Species and Varieties, Their Origin by Mutation • Hugo DeVries

... 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

... 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 a highly ...
— Common Diseases of Farm Animals • R. A. Craig, D. V. M.

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

... 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 of delusions, and that during the course of such lying ...
— Pathology of Lying, Etc. • William and Mary Healy

... that in view of these considerations the court has repeatedly stated that "profit sharing could not be taken as a basis of awards, on the ground that it would involve the necessity of fixing differential rates of wages, which would lead to confusion, would be unfair to many employers, and unsatisfactory ...
— Socialism As It Is - A Survey of The World-Wide Revolutionary Movement • William English Walling

... differential calculus, in a time now happily long past, when a pupil timidly inquired the reason for this or that, was wont to fix the interrogator with his eye and say, "Sir; it is so because the book says so!" Even in more recent days a well-known university ...
— A Librarian's Open Shelf • Arthur E. Bostwick

... 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 value, as is now known, being ...
— History of the Intellectual Development of Europe, Volume I (of 2) - Revised Edition • John William Draper

... 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 to enable a skilful instrument-maker ...
— Encyclopaedia Britannica, 11th Edition, Volume 4, Part 4 - "Bulgaria" to "Calgary" • Various

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

... same thing holds good for the stimuli of the sensations of sight and of hearing, the differential stimulus bearing always a fixed ratio to the total magnitude of the stimuli. Here, then, was the ...
— A History of Science, Volume 4(of 5) • Henry Smith Williams

... order to justify the inference of a deterioration due to this process, would be, not that it simply increased the number of the candidates for living, but that it gave to the feebler candidates a differential advantage; that they are now more fitted than they were before for ousting their superior neighbours from the chances of support. But I can see no reason for supposing such a consequence to be probable or even possible. The struggle for existence, as I have suggested, rests upon the unalterable ...
— Social Rights and Duties, Volume I (of 2) - Addresses to Ethical Societies • Sir Leslie Stephen

... he had given 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 ...
— The Little City Of Hope - A Christmas Story • F. Marion Crawford

... It's Jimmy's sit-out. I just stepped in here to see if I could find a book on the differential calculus. Been figuring a problem in my head all evening, and there's a formula I need to get my final solution. I know that formula well as I know you, but somehow my memory seems ...
— Out of the Primitive • Robert Ames Bennet

... for psychology? Does he make all the observations on himself or may he be objectively observed by the psychologist? The latter, certainly. In fact, nearly all tests, such as those used in studying differential psychology, are objective. That is to say that the person tested is given a task to perform, and his performance is observed in one way or another by the examiner. The examiner may observe the time occupied by the subject to complete the task, or the ...
— Psychology - A Study Of Mental Life • Robert S. Woodworth

... instances of good management containing all of the elements necessary for permanent prosperity for both employers and men under ordinary day work, the task system, piece work, contract work, the premium plan, the bonus system and the differential rate; and he will find a very much larger number of instances of bad management under these systems containing as they do the elements which lead to discord and ultimate loss and ...
— Shop Management • Frederick Winslow Taylor

... the sugar 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 present ...
— Compilation of the Messages and Papers of the Presidents - Volume 8, Section 2 (of 2): Grover Cleveland • Grover Cleveland

... properties of the 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

... at length arrived. It was on differential and integral calculus. I was indifferent and abstracted, but a feeling of some dread passed over me when the same young professor who had questioned me at the entrance examination looked me in the face. I answered so badly that he looked at me compassionately, and said quietly but firmly that ...
— The World's Greatest Books, Vol X • Various

... spaces in a few words, but we may say roughly that there is a molecular bombardment from all warm surfaces by means of which small suspended bodies get driven outward and kept away from the surface. It is a sort of differential bombardment of the gas molecules on the two faces of a dust particle somewhat analogous to the action on Mr. Crookes' radiometer vanes. Near cold surfaces the bombardment is very feeble, and if they are cold enough it appears to act toward the body, ...
— Scientific American Supplement, No. 443, June 28, 1884 • Various

... October last to rescind my predecessor's proclamation of February 14, 1884, permitting such suspension. An arrangement was, however, speedily reached, and upon notification from the Government of Spain that all differential treatment of our vessels and their cargoes, from the United States or from any foreign country, had been completely and absolutely relinquished, I availed myself of the discretion conferred by law and issued on the 27th of October my proclamation ...
— Complete State of the Union Addresses from 1790 to the Present • Various

... captives, companions in misery, and then companions in mercy and blessedness, that is a new and stronger bond. Mutual love was the badge of reasonable creatures in innocency. But now Jesus Christ hath put a new stamp and signification on it; and made it the very differential character and token of his disciples, "By this shall all men know that ye are my disciples, if ye love one another." And therefore, when he is making his latter will, he gives this testamentary commandment to his children and heirs, "A new commandment give I unto you, that ye love one another, ...
— The Works of the Rev. Hugh Binning • Hugh Binning

... was due to the variable plane rotation that heated all parts evenly, 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 ...
— Eight Keys to Eden • Mark Irvin Clifton

... 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 ...
— The Working of Steel - Annealing, Heat Treating and Hardening of Carbon and Alloy Steel • Fred H. Colvin

... 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, stained glass, fresco painting, tiles, ...
— Scientific American Supplement, No. 446, July 19, 1884 • Various

... years since, that the ability of Parliament was a "protected ability": that there was at the door a differential duty of at least 2000 pounds a year. Accordingly the House of Commons, representing only mind coupled with property, is not equal in mind to a legislature chosen for mind only, and whether accompanied by ...
— The English Constitution • Walter Bagehot

... return to 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, have brilliantly ...
— The Iron Heel • Jack London

... had 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

... 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 ...
— Endymion • Benjamin Disraeli

... fairer analysis than Hume's these features will persist. It, too, would be a product of selection, of a selection depending on its maker's preferences. As James showed, the distinction between 'dreams' and 'realities,' between 'things' and 'illusions,' results only from the differential values we attach to the parts of the flux according as they seem important or interesting to us or not. The volitional contribution is all-pervasive in our thinking. And once this volitional interference with 'pure perception' is shown to be indispensable, it must be allowed ...
— Pragmatism • D.L. Murray

... eye gives but a poor means of telling 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 the 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

... respect of the matters therein presented as may seem necessary and proper, a report of the Secretary of State, with accompanying explanatory correspondence, in reference to the international questions arising from the imposition of differential rates of tonnage dues upon vessels entering ports of the United States from foreign countries under the provisions of the fourteenth Section of the act of June 26, 1884, and the later amendatory provisions of the act of June 19, 1886, as ...
— A Compilation of the Messages and Papers of the Presidents - Section 3 (of 3) of Volume 8: Grover Cleveland, First Term. • Grover Cleveland

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

... of an arbitrary electromotive force, E, actuates at the same time the two antagonistic circuits of a differential galvanometer. In the first circuit, which has a resistance, R, the battery sends a continuous current of the intensity, I; in the second circuit the battery sends a discontinuous series of discharges, obtained by charging periodically by means ...
— Scientific American Supplement, No. 613, October 1, 1887 • Various

... Causes, Predisposing and Exciting Symptoms and Pathological Anatomy Differential Diagnosis and Prognosis Treatment Malcolm's, Lieutenant Rose's, Bermbach's, Hoffmann's ...
— Diseases of the Horse's Foot • Harry Caulton Reeks

... stock of foolscap, and had a pretty stiff exam. I am only just through. I had seamanship, gunnery, navigation, nautical astronomy, algebra, geometry, trigonometry, conic sections, curve tracing, differential and integral calculus. I had only three questions out of five to answer in each branch, but in the first three I answered all five. After that I only had time for three, but at the end he said I need not finish, he was perfectly satisfied. I had done remarkably ...
— Real Soldiers of Fortune • Richard Harding Davis

... closer, and stood tense and ready. The lancing plane cut through one end of their control room, and Stevens leaped with his companion toward the new-made opening; while the air shrieked outward into space and their suits bulged suddenly with the abrupt increase in pressure differential. While they were in midflight, the frightful blade of destruction cleaved its way through the control board and through the spot upon which they had been standing a moment before. As they passed the severed edge, en route into open spare, Stevens seized ...
— Spacehounds of IPC • Edward Elmer Smith

... undissolved by rain water. In this clay, flints as long and thin as my arm often stand perpendicularly up; and I have been told by the tank-diggers that it is their "natural position!" I presume that this position may safely be attributed to the differential movement of parts of the red clay as it subsided very slowly from the dissolution of the underlying chalk; so that the flints arrange themselves in the lines of least resistance. The similar but less strongly marked arrangement of the stones in the drift near Southampton ...
— The Life and Letters of Charles Darwin, Volume II • Francis Darwin

... one of the great pillars of the Bourse at Antwerp. He was 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 ...
— The Rise of the Dutch Republic, 1555-1566 • John Lothrop Motley

... 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

... 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 great advantages of ...
— Blackwood's Edinburgh Magazine, No. CCCXXXIX. January, 1844. Vol. LV. • Various

... swiftness of foot, or even better weapons, would often lead to victory as well as mere physical strength. Moreover, this kind of more or less perpetual war goes on amongst savage peoples. It could lead, therefore, to no differential characters, but merely to the keeping up of a certain average standard of bodily and mental ...
— More Letters of Charles Darwin Volume II - Volume II (of II) • Charles Darwin

... 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 ...
— With the Procession • Henry B. Fuller

... They were reddish-purple, ulcerated, and the stench was oppressive. Hard, woodeny swellings appeared on the legs, and the victim became very decrepit. One of the main preoccupations in the wards was the differential diagnosis between atypical malaria and typhoid fever, for the malaria that one reads of in textbooks did not exist save exceptionally. A man had an irregular temperature for days and it was often extremely difficult ...
— In Mesopotamia • Martin Swayne

... 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

... Institute by the 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 ...
— Cupid's Middleman • Edward B. Lent

... 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 author being ...
— A Budget of Paradoxes, Volume II (of II) • Augustus de Morgan

... 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 ...
— Autobiography • John Stuart Mill

... produce, or the things will not continue to be produced. But the influence of taxation on value is subject to the same conditions as the influence of wages and of profits. It is not general taxation, but differential taxation, that produces the effect. If all productions were taxed so as to take an equal percentage from all profits, relative values would be in no way disturbed. If only a few commodities were taxed, their value would rise; and if only a few were left untaxed, their value ...
— Principles Of Political Economy • John Stuart Mill

... differentiate canicaudus from its nearest relatives, Microtus montanus canescens to the northward, M. m. nanus to the eastward, and M. m. montanus to the southward. In canicaudus we have noted one additional differential character; the interpterygoid space is acuminate anteriorly. In this feature and in each of the other features mentioned above, intergradation with Microtus montanus nanus is seen in the specimens from Hood River and Wapinitia. In the specimens from Hood River the auditory bullae are only slightly ...
— A New Subspecies of Microtus montanus from Montana and Comments on Microtus canicaudus Miller • E. Raymond Hall

... woman, you don't know a generator from a differential." Not unreasonably was Ted lofty with her. He was a natural mechanic, a maker and tinkerer of machines; he lisped in blueprints for the ...
— Babbitt • Sinclair Lewis

... his profound vision perceived its possible invalidity. He saw that it was at least possible that the difference of conducting power between the earth and the wire might give one an advantage over the other, and that thus a residual or differential current might be obtained. He combined wires of different materials, and caused them to act in opposition to each other, but found the combination ineffectual. The more copious flow in the better conductor was exactly counterbalanced by the resistance ...
— Little Masterpieces of Science: - Invention and Discovery • Various

... 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 and ...
— Views and Reviews - Essays in appreciation • William Ernest Henley

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

... 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

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

... was a helpless thing. When the clutch was thrown in, it could only respond with a loud, discordant whirring. It made no forward movement. We all thought our differential had gone to smash. One of our party went on ahead, and at a nearby camp we telephoned Mr. Hill, superintendent of the power company, of our predicament. He directed a man who was working a pair of heavy horses on a road near by, to hitch onto us and haul us up to his ...
— Out of Doors—California and Oregon • J. A. Graves

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

... power is 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 ...
— The Atlantic Monthly, Volume 17, No. 100, February, 1866 • 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 ...
— Life and Habit • Samuel Butler

... radiates from all bodies whatever, but that these rays may be reflected, according to the laws of optics, in the same manner as light. I shall repeat these experiments before you, having procured mirrors fit for the purpose; and it will afford us an opportunity of using the differential thermometer, which is particularly well adapted for these experiments. —I place an iron bullet, (PLATE III. Fig. 1.) about two inches in diameter, and heated to a degree not sufficient to render it luminous, in the focus of ...
— Conversations on Chemistry, V. 1-2 • Jane Marcet

... may be well to take this opportunity of refuting the error. He says that Fabianism advocates the socialisation of rent, and in confirmation quotes Shaw's words "rent and interest"! That makes all the difference. If the term rent is widened to include all differential unearned incomes, from land, from ability, from opportunity (i.e. special profits), interest includes all non-differential unearned incomes, and thus the State is to be endowed, not with rents alone, but with all unearned ...
— The History of the Fabian Society • Edward R. Pease

... wiring of differential circuit with shunts used with resistance thermometers for ...
— Respiration Calorimeters for Studying the Respiratory Exchange and Energy Transformations of Man • Francis Gano Benedict



Words linked to "Differential" :   curvature, mathematics, derivative, derived function, pinion and crown wheel, difference, reckoning, maths, partial derivative, differential psychology, pinion and ring gear, figuring, differentiation, computation, math, bevel gear, partial, calculation



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