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Equation   /ɪkwˈeɪʒən/   Listen
Equation

noun
1.
A mathematical statement that two expressions are equal.
2.
A state of being essentially equal or equivalent; equally balanced.  Synonyms: equality, equivalence, par.
3.
The act of regarding as equal.  Synonym: equating.



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"Equation" Quotes from Famous Books



... Moslem or a Druse, a member of the Orthodox or of the Catholic Church, an Armenian or a Protestant, you have almost always said enough to define his political position. Without the need of additional information you have already got the elements of his civic equation, and can say whether he is a loyal subject of the Porte, or whether he looks to Russia or Greece, to France, Austria, or England as the sovereign of his future choice. In fact, as has been often pointed out, in the East at this day "Religion ...
— Theodoric the Goth - Barbarian Champion of Civilisation • Thomas Hodgkin

... of this law can, it appears to me, best be derived from a study of its mathematical expression. This is, according to the notation of Professor Boole, x^{2}x. As such, it presents a fundamental equation of thought, and it is because it is of the second degree that we classify in pairs or opposites. This equation can only be satisfied by assigning to x the value of 1 or 0. The "universal type of form" ...
— The Religious Sentiment - Its Source and Aim: A Contribution to the Science and - Philosophy of Religion • Daniel G. Brinton

... perfect equation: if something is added or subtracted, something is subtracted or added, so long as there is life. Judith got her poise again in time, as strong natures do after any death; with some fibres weakened past mending, gray, but calm. If his side ...
— Life at High Tide - Harper's Novelettes • Various

... any physical agent that it is abstractedly the cause of another" (p. 15). "Causation is the will," "creation is the act, of God" Grove on "Correlation of Physical Forces," (p. 199). "Between gravity and motion it is impossible to establish the equation required for a rightly-conceived causal relation" ("Correlation and Conservation of Force," p. 253). See also Herschel's "Outlines of Astronomy," ...
— Christianity and Greek Philosophy • Benjamin Franklin Cocker

... of another. That he could not do. Rudyard did not know the truth, had not the faintest knowledge that Jasmine had been more to himself than an old and dear friend. To pay the price in any other way than by eliminating himself from the equation was to smirch her name, be the ruin of a home, and destroy all hope ...
— The Judgment House • Gilbert Parker

... can happen, nothing will!" he reassured her. "This motor's been run three hours in succession already without skipping an explosion. Everything's in absolute order, I tell you. And as for the human, personal equation, I ...
— Darkness and Dawn • George Allan England

... curious story the tramp told me. I do not question its truth. It came as all truth does, through a clouded and unclean medium: and any judgment of the story itself must be based upon a knowledge of the personal equation of ...
— Adventures In Contentment • David Grayson

... "hydrolysis" is applied to any resolution of a body into its constituents where the decomposition is brought about by the action of water, hence when soap is treated with cold water, it is said to undergo hydrolysis, the reaction taking place being represented in its simplest form by the equation:— ...
— The Handbook of Soap Manufacture • W. H. Simmons

... righteousness, three to keep, which he could not do without, and one kind to give away. Every detail of the case was supported by a little cluster of marginal texts, and no doubt it appeared as logical and simple to the author as a problem or an equation. But what an extraordinary form of religion it all was! There was not the least misgiving in the mind of the author. The Bible was to him a perfectly unquestioned manifesto of the mind of God, and solved ...
— Beside Still Waters • Arthur Christopher Benson

... you see, Cherry, you should not have put the negative sign to that equation. My dear ...
— The Pillars of the House, V1 • Charlotte M. Yonge

... taught[766] that the Atman or Self within the heart, smaller than a grain of mustard seed, is also greater than all worlds. The brief exposition of his doctrine which we possess starts from and emphasizes the human self. This self is Brahman. The doctrine of Uddalaka[767] takes the other side of the equation: he starts with Brahman and then asserts that Brahman is the soul. But though he teaches that in the beginning there was one only without a second, yet he seems to regard the subsequent products of this Being as external to it and permeated by it. But to Yajnavalkya ...
— Hinduism And Buddhism, Volume II. (of 3) - An Historical Sketch • Charles Eliot

... very well; my voice was better than any of the other girls, and that will give you more pleasure than if I could do all the sums in the world. They tried to teach me algebra, too. Such a joke; I once got an equation right. The teacher nearly had a fit. It was ...
— The Heart of Una Sackville • Mrs. George de Horne Vaizey

... fellow who can put the pieces together again, or rather, draw them together instantly. For the man who reorganizes without this Something is like the chap who cleans his own clock—he usually has a few pieces of the organization left over because they wouldn't fit in anywhere. The personal equation is magnetic. It comes along and acts, and every part falls into place, and the organization is capable of performing a ...
— Analyzing Character • Katherine M. H. Blackford and Arthur Newcomb

... plans and ambitions, and proposes to carry them through regardless of man, or—let the plain truth be spoken softly—of God. Its opinions are held tenaciously. Its favorite pronoun is I, capitalized, with variations of my and me. The personal equation is ...
— Quiet Talks on Power • S.D. Gordon

... What are the causes of variation in the scores obtained? Which of these reflect the inherent worth of the sample and which are related to technique, personal equation and methods of ...
— Northern Nut Growers Association Thirty-Fourth Annual Report 1943 • Various

... depending on his outlook, but would be too vast to admit of his using more than isolated fragments to work into his picture of the whole. Selection is a necessity, and when to the fact that there must be selection there is added the other fact that every historian has his personal equation, the notion of a history constructed by a single man on the methods of the physicist is a delusion. The best that the great historian can do is to present the details in the light of the spirit of the period of which he is writing, and in order that he may present his narrative ...
— Before the War • Viscount Richard Burton Haldane

... furlough, she said, speaking at meetings was the chief. If only the hard deputy work at home could be eliminated from the missionaries' programme, they would have a happier and a better time. But here the personal equation obscured her judgment. For to abandon the system would be to do away with the intimate touch and association by which interest in the Mission Field is so largely maintained. To many missionaries, also, the duty of ...
— Mary Slessor of Calabar: Pioneer Missionary • W. P. Livingstone

... been encouraging. But somehow it was not. What was possible to Thorndyke was, theoretically, possible to me—or to anyone else. But the possibility did not realize itself in practice. There was the personal equation. Thorndyke's brain was not an ordinary brain. Facts of which his mind instantly perceived the relation remained to other people unconnected and without meaning. His powers of observation and rapid inference were almost incredible, as I had noticed again and again, and always with undiminished ...
— The Mystery of 31 New Inn • R. Austin Freeman

... who, in reference to disputes of that sort, are of opinion that human duties may be ascertained with the exactness of mathematics. They deal with morals as with mathematics; and they think what is right may be distinguished from what is wrong with the precision of an algebraic equation. They have, therefore, none too much charity toward others who differ from them. They are apt, too, to think that nothing is good but what is perfect, and that there are no compromises or modifications to be made in consideration of difference of opinion or in deference to other men's judgment. ...
— American Eloquence, Volume II. (of 4) - Studies In American Political History (1896) • Various

... aware that the undulatory theory of light and heat and sound are now accepted by scientific men as the only sure basis of accurate calculation. We know that the rays of light travel in waves, and the equation ...
— The Romance of Mathematics • P. Hampson

... Marsden states an equation between Marco's values of the Notes and the actual Chinese currency, to which Biot seems to assent. I doubt its correctness, for his assumed values of the groat or grosso and tornesel are surely wrong. The grosso ran at that ...
— The Travels of Marco Polo Volume 1 • Marco Polo and Rustichello of Pisa

... don't go into a spell. The war is going to help you out on these lonesome fits, mother. Like Slawson put it to-day in Integral Calculus Four, war reduces the personal equation to its ...
— Gaslight Sonatas • Fannie Hurst

... higher region of facts which belongs to the historian, whose task it is to interpret as well as to transcribe, Mr. Motley showed, of course, the political and religious school in which he had been brought up. Every man has a right to his "personal equation" of prejudice, and Mr. Motley, whose ardent temperament gave life to his writings, betrayed his sympathies in the disputes of which he told the story, in a way to insure sharp criticism from those of a different way of thinking. Thus it is that in the work of M. Groen van Prinsterer, ...
— The Rise of the Dutch Republic, 1555-1566 • John Lothrop Motley

... to say, therefore, that if I have had a bias, it was always a bias in favour of democracy, and therefore of tradition. Before we come to any theoretic or logical beginnings I am content to allow for that personal equation; I have always been more inclined to believe the ruck of hard-working people than to believe that special and troublesome literary class to which I belong. I prefer even the fancies and prejudices of the people who see life from the ...
— Orthodoxy • G. K. Chesterton

... however unpleasant it might be for some of us to find ourselves, like Tarquin, made into villains, from the subtle necessities of "the best of all possible worlds,"—nevertheless, some such theory as Mr. Buckle's might possibly turn out to be true. Likely enough, there is some great "equation of the universe" where the value of the unknown quantities can be determined. But we must treat things in relation to our own powers and positions, and the question is, whether the sweep of those vast curves can be measured ...
— Prose Masterpieces from Modern Essayists • James Anthony Froude, Edward A. Freeman, William Ewart Gladstone, John Henry Newman and Leslie Steph

... the chief moral to be drawn from that terrible and tragic disaster was the terribly important part which the mere personality of the individual in command still plays in deciding the fate of hundreds of lives; that, in short, the personal equation—as it has come to be called—- is still the supreme and decisive factor in all naval enterprises. But there may be some grounds for the alarmist views of Sir Edward Reed, and I see no reason why his ...
— Sketches In The House (1893) • T. P. O'Connor

... the case of an observation on the mental plane this personal equation would not appreciably affect the impressions received, for since each would thoroughly grasp the entire subject it would be impossible for him to see its parts out of due proportion; but, except in the case of carefully trained and experienced ...
— Clairvoyance • Charles Webster Leadbeater

... testimony. A legend of the Br[a]hmana-texts, the Hindu equivalent of the Talmud, tells repeatedly that there are two dogs in heaven, and that these two dogs are Yama's dogs. I shall present two versions of the story, a kind of [Greek: Gigantomachia] in order to establish the equation between the terms "two dogs of Yama," ...
— Cerberus, The Dog of Hades - The History of an Idea • Maurice Bloomfield

... Mr. Grimm. He stood silent a moment, staring at the president. Some subtle change crept into the listless eyes, and his lips were set. "Perhaps I had better explain here that the personal equation enters largely into an affair of this kind," he said at last, slowly. "It happens that it entered into this. Unless I am ordered to pursue the matter further I think it would be best for all concerned to accept the fact ...
— Elusive Isabel • Jacques Futrelle

... been taken from the equation—had he not felt the thrill of it in his fingers and looked upon the warm fires of it as it lay unbound on Pierre Breault's table, his present relation with Bram Johnson he would have considered as a purely physical condition, and he might then have accepted the presence ...
— The Golden Snare • James Oliver Curwood

... troubles in business organizations the personal equation entered into it. Certain of the directors were inclined to criticise other directors and to be somewhat dictatory as to how the farmers' business should be conducted. With the idea of improving the system of management, the directors at this stage abolished ...
— Deep Furrows • Hopkins Moorhouse

... Russian quickened his steps and seemed to think nothing of the incident. But to me it was the worst thing that I saw at Doeberitz, this act of physical violence against a man by one who has power over him. The personal equation was inevitable to the observer. Struck in that way, could one fail to strike back? Would not he strike in red anger, without stopping to think of consequences? There is something bred into the Anglo- Saxon which resents a physical blow. We court-martial ...
— My Year of the War • Frederick Palmer

... In a ghastly way, he was trying to decide whose death it should be,—as one decides a winter's flitting, whether to Florida or California; only now the question was: should it be suicide, or,—as in the saloon yesterday,—leave the decision to Chance? For the time the personal equation was eliminated; the man weighed the evidence as impartially as though he were deciding ...
— A Breath of Prairie and other stories • Will Lillibridge

... alterations of climate may cause the ice sheet to come and go, we may say that all the influences which have been suggested by the students of glaciation, and various other slighter causes which can not be here noted, may have co-operated to produce the peculiar result. In this equation geographic change has affected the course of the ocean currents, and has probably been the most influential, or at least the commonest, cause to which we must attribute the extension of ice sheets. Next, alterations ...
— Outlines of the Earth's History - A Popular Study in Physiography • Nathaniel Southgate Shaler

... plan loses none of its dramatic features, it shows the practical defects that must surely have prevented its realization. Like many another Caesar hungering for empire and staking all to win it, the prospective lord of Kentucky, as we shall see, had left the human equation ...
— Pioneers of the Old Southwest - A Chronicle of the Dark and Bloody Ground • Constance Lindsay Skinner

... to his office where the personal equation would be less pronounced. He put to him plainly the charge made by Jerry and ...
— The Big-Town Round-Up • William MacLeod Raine

... dome alone sat Margaret again, this time with no friendly water-tank for her defense, and took counsel with herself. The howling coyotes seemed to be silenced for the time; at least they had become a minor quantity in her equation of troubles. She felt now that man was her greatest menace, and to get away safely from him back to that friendly water-tank and the dear old railroad track she would have pledged her next year's salary. She stole softly to the ...
— A Voice in the Wilderness • Grace Livingston Hill

... of this nature, or that many another girl, besides myself, had first begun to chase some "unknown" phantom through the intricate stages of life at the same time that she was puzzling over the hidden meaning of an algebraic equation. ...
— The Doctor's Daughter • "Vera"

... or galloped through. Another man takes no note of any of these things; always follows somebody else's lead when he can, and gets lost if he is left to himself; a mere owl in daylight. Just so some men have an eye for an equation, and would read at sight the one that you puzzled over. It is told of Sir Isaac Newton that he required no demonstration of the propositions in Euclid's Geometry, but as soon as he had read the enunciation the solution or answer was plain at ...
— The Autocrat of the Breakfast-Table • Oliver Wendell Holmes, Sr. (The Physician and Poet not the Jurist)

... note of Peirce's, for example, in the number for February, proposes two new symbols, one for the mystic ratio of the circumference to the diameter, a second for the base of Napier's logarithms,—and then, by joining them in an equation with the imaginary symbol, expresses in a single sentence the mutual relation of the three great talismans in the magic of modern science. Another article, in the April number, by Chauncey Wright, contains a new view of the law of Phyllotaxis, approaching it ...
— Atlantic Monthly, Volume 3, No. 19, May, 1859 • Various

... executed in a pure mathematical manner, and any wrangler at Oxford would have been delighted to see him juggle with integral and differential equations, with a dexterity that was surprising. He drew the shape of the bulb exactly on paper, and got the equation of its lines with which he was going to calculate its contents, when Mr. Edison again appeared and asked him what it was. He showed Edison the work he had already done on the subject, and told him that he would very soon finish calculating it. 'Why,' said Edison, 'I would simply ...
— Edison, His Life and Inventions • Frank Lewis Dyer and Thomas Commerford Martin

... keenest desire to be just in criticism, I have been unfair to several villages. I have been unfair, for example, to Burpham, which lies between Arundel and Amberley and of which nothing is said; and more than one reader has discovered unfairness to East Sussex. For this the personal equation is perhaps responsible: a West Sussex man, try as he will, cannot have the same enthusiasm for the other side of his county as for his own. For me the sun has always seemed to rise over Beachy Head, the most easterly of ...
— Highways & Byways in Sussex • E.V. Lucas

... substitution of a fractional power in the place of the square, rather than to go through the long calculations necessitated by the use of the binomial au bu squared. Accordingly, making use of the formula b1 u squared, the above equation becomes, ...
— Scientific American Supplement No. 275 • Various

... exceptionally untalented one will be excluded anyhow. The psychological aid in the selection of the fit refers only to the remaining four fifths of mankind for whom the chances of success can indeed be increased as soon as the psychological personal equation is systematically and with scientific exactitude brought into the calculation of the life development. How far a part of this effort will have to be undertaken by the school is a social problem which must be considered from various points of view. Its discussion ...
— Psychology and Industrial Efficiency • Hugo Muensterberg

... other customer, favored by Mr. Urquiza's valedictory thoughts, was a young man, cousin to the handsome lady, and bearing the name of Reyes. This youth occupied in Mr. Urquiza's estimate the same hyperbolical rank as the handsome lady, but on the opposite side of the equation. The rule as to him was— that he was to have no credit; strictly none. In this case, also, Kate saw no difficulty; and when she came to know Mr. Reyes a little, she found the path of pleasure coinciding ...
— Narrative And Miscellaneous Papers • Thomas De Quincey

... equation to be produced between fifteen original eggs on one side, and seven whole eggs, seven live chickens, two dead chickens, and another egg on the other. My theory was, that two of the eggs ...
— The Atlantic Monthly, Volume 15, No. 92, June, 1865 • Various

... names Liaritchi and Liaraku. Other possible equations are Mukula—Mukumurra, and Cheepa—Koocheebinga, but in the latter case, even if koo is a prefix, the distance of the two systems makes any such correspondence improbable. In Victoria the Malian-Multa equation is indisputable; it is interesting to note that the former is found in N.S. Wales as the name of the bird, while Multa belongs to ...
— Kinship Organisations and Group Marriage in Australia • Northcote W. Thomas

... same face. These three copies would not be recognized as referring to the same original. That of Mr. Pinart seems to show the most careful study and is probably accurate. Good photographs would be of service in eliminating the inconvenient personal equation always present in the delineation of such subjects. These figures bear little resemblance to those painted upon the vases of ...
— Ancient art of the province of Chiriqui, Colombia • William Henry Holmes

... piece de resistance in the American political problem. Representing him by the letter n, the Republicans begin to build their equation thus: "Let n the white man." This, however, appears to give an ...
— The Devil's Dictionary • Ambrose Bierce

... study of literature that one perceives how very little real passion books, even pretty good books, contain, how much of what at times seems to us passionate in them owes its appeal to accident, mode, and the personal equation. Of the highest achievement of art—that which avails itself of, but subdues, personal thought and feeling in the elaboration of a perfectly live character—Madame de Stael was indeed incapable. But in the second order—that which, availing itself of, but not subduing, the personal ...
— Corinne, Volume 1 (of 2) - Or Italy • Mme de Stael

... cinnamic acid is afterwards procured pure. These crystals also dissolve in nitric acid, and then form after a few moments crystals of the nitrate of the hyduret of cinnamyle. The conversion of styrone into the hyduret of cinnamyle by the action of the platinum black is shown by the following equation: ...
— The Art of Perfumery - And Methods of Obtaining the Odors of Plants • G. W. Septimus Piesse

... exchange is confined to the members of one class, among whom there is free competition. In exchange between classes or non-competing industrial groups, the normal value is simply a case of international value, and depends upon reciprocal demand, that is to say, is such as will satisfy the equation of demand. This theory is a substantial contribution to economical science and throws great light upon the general problem of value. At the same time, it may be thought that Cairnes overlooked a point brought forward prominently by Senior, who also had called attention ...
— Encyclopaedia Britannica, 11th Edition, Volume 4, Part 4 - "Bulgaria" to "Calgary" • Various

... physical type involves a really bad man, but he may be quite wrong (he generally is) about which sort of man is really bad. Thus his whole argument is useless, for he understands only one half of the equation. ...
— Alarms and Discursions • G. K. Chesterton

... his wife dead now and he is looking for another." He ends by stating that the most important single thing to be done for the betterment of country life is "good roads"; but in his answers he shows very clearly that most important of all is the individual equation of the ...
— Theodore Roosevelt - An Autobiography by Theodore Roosevelt • Theodore Roosevelt

... tenor of the life is a logical sequence from it, and a man can always explain himself to himself, if not to others, as a coherent whole, because he always knows, or thinks he knows, the value of x in the personal equation. Were it otherwise, that sense of conscious identity which alone makes life a serious thing and immortality a rational hope, would be impossible. It is with the means of finding out this unknown quantity—in ...
— The Function Of The Poet And Other Essays • James Russell Lowell

... and perfect foundation of physics, that accounts for and explains every kind of phenomena, we have constructed our metaphysics. All that belongs to these four lower planes we consider and treat as physics. All that relates to the planes beyond we consider metaphysics. Can you teach a child equation of payments before he knows the first four rules? You would not attempt such a task. The first four rules are the physics of arithmetic; all beyond is the metaphysics of arithmetic. It flows out of them. Can you comprehend our system of metaphysics ...
— Ancient and Modern Physics • Thomas E. Willson

... account? Without these incidents the whole story is unintelligible, but with Wagner in his then mood they counted for nothing in the flood of emotional material. It was in Die Meistersinger that Wagner found the final equation between impulse and action, and the public has again judged rightly in placing that work first among all his dramatic compositions. But the musician and the philosopher will always ...
— Wagner's Tristan und Isolde • George Ainslie Hight

... orthodox trade unionist of the British School. Bolshevism is to him a synonym for social ruin. He believes that capital and labor should cooperate but that capital should cease to be the predominant factor in the equation. In order to secure this balance he believes labor must unite and fight, and to this end he has devoted himself to the federation of American trade unions and to their battle. He has steadfastly refused political preferment and has declined ...
— The Armies of Labor - Volume 40 in The Chronicles Of America Series • Samuel P. Orth

... solved my equation—what sent me to nature? What made me take an intellectual interest in outdoor things? The precise value of the x is hard to find. My reading, no doubt, had much to do with it. This intellectual and emotional interest ...
— Our Friend John Burroughs • Clara Barrus

... with a neighbour in town pending his negotiations and thither he went to ponder on his circumstances. Then it was that Cindy Ann came into the equation. She demanded to know what was to be done and how it was ...
— The heart of happy hollow - A collection of stories • Paul Laurence Dunbar

... keen eyes took fresh stock of the cattleman, marking the assertive strength, the clean build, the erect carriage, the hard hands, the lean jaw and finally the steady eyes which always met his own. The personal equation always counts, perhaps with the banker more than most men imagine, and John Engle found no sign of any deterioration in the security offered by Alan Howard's personality. 'It's a good thing, anyway,' he went on, with the first hint of a twinkle in his ...
— The Desert Valley • Jackson Gregory

... to act, but no power; here we have powers, but no motives. A nameless unheimlichkeit comes over us at the thought of there being nothing eternal in our final purposes, in the objects of those loves and aspirations which are our deepest energies. The monstrously lopsided equation of the universe and its {84} knower, which we postulate as the ideal of cognition, is perfectly paralleled by the no less lopsided equation of the universe and the doer. We demand in it a character for which our emotions and active propensities shall ...
— The Will to Believe - and Other Essays in Popular Philosophy • William James

... nourishment corresponding exactly to demand and supply in the Science of Political Economy.[2] They tend continually to level themselves. Have we not the right to decide in which way the leveling shall be effected—the equation be formed? This is a simple solution of the difficulty. I suggest that this experiment be tried: let the girl study her extra time in the evening, if she desires, only being cautious that she do not infringe ...
— The Education of American Girls • Anna Callender Brackett

... I had fully determined to work out for him what the amount of his daily wages came to in a week, first by simple arithmetic, secondly by fractions, thirdly by decimals, and fourthly by duodecimals; and then to prove the whole correct by an algebraical equation. But all these triumphs of learning were not destined for me. I found, at length, that the glass coach drove up the inn-yard of some large coachmaster; but few words were said, and I was consigned to the coachman of one of the country stages, with as little remorse and as ...
— Rattlin the Reefer • Edward Howard

... The equation on the page of his scribbler began to spread out a widening tail, eyed and starred like a peacock's; and, when the eyes and stars of its indices had been eliminated, began slowly to fold itself together again. The indices appearing and disappearing ...
— A Portrait of the Artist as a Young Man • James Joyce

... two signs with one and the same meaning, I express this by putting the sign '' between them. So 'a b' means that the sign 'b' can be substituted for the sign 'a'. (If I use an equation to introduce a new sign 'b', laying down that it shall serve as a substitute for a sign a that is already known, then, like Russell, I write the equation—definition—in the form 'a b Def.' A definition is a rule ...
— Tractatus Logico-Philosophicus • Ludwig Wittgenstein

... many parts by weight of each element? What is its molecular weight? To produce FeS a chemical union took place between each atom of the Fe and of the S. We may express this reaction, i.e. chemical action, by an equation:— ...
— An Introduction to Chemical Science • R.P. Williams

... In our Zoological Park establishment there is no collection in which both the collective and the individual equation is more troublesome than the deer family. In their management, as with apes, monkeys and bears, it is necessary to take into account the temperament not only of the species, but also of each animal; and there are times when this necessity bears hard upon human nerves. The proneness of captive ...
— The Minds and Manners of Wild Animals • William T. Hornaday

... worst, and that the labor problem is still unsolved for both England and the Continent, remains a truth, though it is at once evident to the student of this problem that France has solved one or two phases of the equation over which England ...
— Prisoners of Poverty Abroad • Helen Campbell

... same. In order that a comparison may be effective either for ornament or for use, there must be, between the two acts or objects, a similarity in some points, and a dissimilarity in others. The comparison for moral or aesthetic purposes is like an algebraic equation in mathematical science; if the two sides are in all their features the same, or in all their features different, you may manipulate the signs till the sun go down, but you will obtain no useful result: it is only when they are in some of their terms the same and in some different, ...
— The Parables of Our Lord • William Arnot

... explosion the identity of the atoms, not simply their arrangement, is changed. A considerable fraction of the mass of the explosive charge, which may be uranium 235 or plutonium, is transformed into energy. Einstein's equation, E mc^2, shows that matter that is transformed into energy may yield a total energy equivalent to the mass multiplied by the square of the velocity of light. The significance of the equation is easily seen when one recalls that the velocity of light ...
— The Atomic Bombings of Hiroshima and Nagasaki • United States

... Every laborer is supposed to be capable of performing the task assigned to him; or, to use a common expression, "every workman must know his trade." The workman equal to his work,—there is an equation between functionary and function. ...
— What is Property? - An Inquiry into the Principle of Right and of Government • P. J. Proudhon

... stared at the equation again. Somehow, the explanation was not very helpful. The numeral 1 was unity. He understood that much, all right, but it didn't seem to do him ...
— The Impossibles • Gordon Randall Garrett

... question of expenses on the journey, which is that of a merchant investing in goods there to the amount of some L12,000 (i.e. in actual gold value, not as calculated by any fanciful and fallacious equation of values). ...
— Encyclopaedia Britannica, 11th Edition, Volume 6, Slice 2 - "Chicago, University of" to "Chiton" • Various

... distinct from civilization? And so the balance sways and the story runs — here a gain, there a loss, and Nature's great average struck across the two, whereof the sum total forms one of the factors in that mighty equation in which the result will equal the ...
— Allan Quatermain • by H. Rider Haggard

... accomplished. Anything now seemed possible. Jackson's death had destroyed this new equation of war. ...
— The Victim - A romance of the Real Jefferson Davis • Thomas Dixon

... plus folly, plus romance, minus anything to do. Your equation is worthy of Mrs. Harvey Anderson. I gave her a good dose of ...
— The Trial - or, More Links of the Daisy Chain • Charlotte M. Yonge

... the easier forms of equation, have been set him by a stranger. With some coaching he was also able to master textual problems in this way, giving eager and glad response in the form of "yes" and "no" when it came to questioning him as to his having understood or not understood—liked or ...
— Lola - The Thought and Speech of Animals • Henny Kindermann

... heaves and pushes, now at this, now at the life-line hitching on knob, handle, lever or projecting peg—on anything or nothing in that maze of machinery; by involution and evolution, like the unknown quantity in a cubic equation, through all the twists, turns, assumptions and substitutions, and always with that unmanageable, indivisible coefficient the box, until he reaches ...
— Lippincott's Magazine Of Popular Literature And Science, No. 23, February, 1873, Vol. XI. • Various

... soldiers, who can even run on occasion, and by telling of them holds a world in thrall—that's art! In these soldiers three we recognize something very much akin to ourselves, for the thing that holds no relationship to us does not interest us—we can not leave the personal equation out. This fact is made plain in "The Black Riders," where the devils dancing in Tophet look up and espying Steve ...
— Little Journeys to the Homes of the Great, Vol. 2 of 14 - Little Journeys To the Homes of Famous Women • Elbert Hubbard

... discrimination, as we do with regard to our contemporaries. We may even set them down to ignorance rather than specialization of interest. These differences depend on the attitude of mind of the physician, and are largely the result of his own personal equation. They do not reflect in any way either on his judgment or on the special knowledge of his time, but are the index of his ...
— Old-Time Makers of Medicine • James J. Walsh

... situation repeats itself with the spade of the farmer. The conditions are somewhat different, but the principle must be the same. Of course the farmer may use spades of different sizes, but he is far from bringing the product of spade surface and weight to a definite equation. Sometimes he wastes his energies and sometimes he exhausts them. But it is not only a question of the size of shovel or spade. The whole position of the body, the position of the hands, the direction of the attention, the rhythm of the movement, the ...
— Psychology and Social Sanity • Hugo Muensterberg

... Mechanical, Professional, Commercial and Artistic, the element of individual judgment of the analyst entered into the problem; yet here we have an agreement with the record amounting to 65-1/2%. Naturally, choice of exact vocation offers an unusually wide field to the personal equation, especially when the analyst has no data, as in this case, in regard to early environment, education, training, residence, and opportunities. But, even in this case, the students are, in general, in marked ...
— Analyzing Character • Katherine M. H. Blackford and Arthur Newcomb

... circumstanced in the matter of instructors, and aided by his own anxiety to improve, Bob made such steady and rapid progress that by the time the ship rounded the Cape he could "work a lunar," solve a quadratic equation or any problem in the first two books of Euclid, and write an intelligently expressed, correctly spelt, and grammatical letter, in addition to possessing a large store of knowledge on everyday subjects. ...
— The Pirate Island - A Story of the South Pacific • Harry Collingwood

... confess that I am in no mood to pretend making up my mind for any impartial estimate of Charles Dickens as an abiding power in English literature. The "personal equation" is in my own case somewhat too strong to leave me with a perfectly "dry light" in the matter. I will make a clean breast of it at once by saying, that I can remember reading some of the most famous of these books in their green covers, month by month, ...
— Studies in Early Victorian Literature • Frederic Harrison

... years, I find that every ode of Horace, every chapter of Caesar, every line of Virgil I learned at school lies as a sprig of lavender in the folds of my memory—but I cannot even set and work out a common equation, or add up a sum in ...
— In Troubadour-Land - A Ramble in Provence and Languedoc • S. Baring-Gould

... it means, and they can easily be trapped into misapplying it. To study it, the student should ask himself what each word of the statement means, and whether all are necessary. Can the word "independent" be omitted? If not, why not? What does this word really mean in this connection? Must each equation contain all the unknown quantities? May some of these equations contain none of the unknown quantities? What would be the condition of things if there were fewer equations than unknown quantities? What if there were ...
— How to Study • George Fillmore Swain

... Devil and his angels are personal beings also. He who denies that there is a personal Devil, must be prepared also to deny that there is a personal Christ. So far as the argument for personal existence is concerned, Christ and good angels stand on one side of the equation, and the Devil and his angels on the other; and whoever would rub out the one, must rub out the ...
— Modern Spiritualism • Uriah Smith

... their blackest and worst. But would Plato accept this as a justification for realistic poetry? It is doubtful. No one could be comforted by a merely literal rendering of life. The comfort must derive from the personal equation, which is the despair engendered in the author by dreams of something better than reality; therefore whatever merit resides in such poetry comes not from its realism, but from the idealism of ...
— The Poet's Poet • Elizabeth Atkins

... equally, and that expression, irrespective of the foregoing impression in the artist and the subsequent impression in the audience, is the aim of art. Standing as he did, as all the greatest artists and thinkers (and he was both) do, in a definite, inevitable relation to the universe—the equation between himself and it—he was utterly unable to turn his powers of perception and expression to idle and irresponsible exercises; and his conception of art, being the outcome of his whole personal mode of existence, was inevitably one of art, not for art's ...
— Renaissance Fancies and Studies - Being a Sequel to Euphorion • Violet Paget (AKA Vernon Lee)

... down the truer and more equable spirit of "the best for all the people." The men and women of the State were taking time to analyze some of those high-sounding phrases with which so-called temperance had disguised vicious theories which left human nature out of the equation. ...
— The Ramrodders - A Novel • Holman Day

... any more affect the thoughts than the thoughts affect the scenery. We see places through our humours as through differently-coloured glasses. We are ourselves a term in the equation, a note of the chord, and make discord or harmony almost at will. There is no fear for the result, if we can but surrender ourselves sufficiently to the country that surrounds and follows us, so that ...
— The Pocket R.L.S. - Being Favourite Passages from the Works of Stevenson • Robert Louis Stevenson

... experience in France is altogether still so vivid to me that to write about it reportorially, with the personal equation left out, would be quite as impossible as it is for me to refrain from execrating the Germans. When I add that during that visit I grew to love the French people (whom, in spite of many visits to France, I merely had admired coolly and impersonally) as much as I abominate the ...
— The Living Present • Gertrude Franklin Horn Atherton

... and afterwards it becomes hard to find. Slept like a dormouse; dreamed of dogs, dykes, and red-foxes, until I was awakened by my horse backing at a Virginia rail-fence, and giving me a nearer prospect of his ears than was consistent with the true principles of equation—found Sam shaking me by the shoulder, with warning that it was time ...
— Impressions of America - During The Years 1833, 1834, and 1835. In Two Volumes, Volume II. • Tyrone Power

... from shares in the Banc of England; but even he, while noting their clamorous good nature was chiefly impressed by their indolence and perversity.[12] It was left for an invalid traveling for his health to remark most vividly the human equation: "The negroes cannot be silent; they talk in spite of themselves. Every passion acts upon them with strange intensity, their anger is sudden and furious, their mirth clamorous and excessive, their curiosity audacious, and their love the sheer demand for gratification of an ardent ...
— American Negro Slavery - A Survey of the Supply, Employment and Control of Negro Labor as Determined by the Plantation Regime • Ulrich Bonnell Phillips

... famous equation outlining the equivalence of mass and energy, Einstein proved that the energy in any particle of matter is equal to its mass or weight multiplied by the square of the velocity of light. The release of the atomic energies ...
— Autobiography of a YOGI • Paramhansa Yogananda

... account the possibility of the girl having feelings to be hurt. But he had noticed Lali shrink visibly and flush slightly when some one stared harder than usual, and this troubled him. It opened up a possibility. He began indefinitely to see that they were not the only factors in the equation. He was probably a little vexed that he had not seen it before; for he wished to be a just man. He was wont to quote with more or less austerity—chiefly the result of ...
— The Judgment House • Gilbert Parker

... ride beside the girl who had just attempted his life. He bore her no resentment. Had the offender been a man, Buck would have snuffed out his life with as little remorse as he would a guttering candle. But her sex and her youth, and some quality of charm in her, had altered the equation. He meant to show her who was master, but he ...
— Mavericks • William MacLeod Raine

... Commercialism, or the long tradition and growth of a Welt-politik philosophy, or the general political ignorance which gave to these influences such rash and uncritical acceptance; or whether we accuse the somewhat difficult and variable personal equation of the Kaiser himself—the fact still remains that for years and years this war has been by the German Government most deliberately and systematically prepared for. The fact remains that Britain—though for a long period she had foreseen danger ...
— The Healing of Nations and the Hidden Sources of Their Strife • Edward Carpenter

... East Haven is the full equation of the American ideal worked out to a complete and finished result. Therein is to be found all that is best of New England intellectuality—well taught, well trained; all that is best of solidly established New England prosperity; all that is best of New England progressive ...
— Shapes that Haunt the Dusk • Various

... decomposition of potassium chlorate by heat is not at all simple, the quantities of chloride and perchlorate produced depending on the temperature. A very gentle heating gives decomposition approximating to the equation of 22KClO3 14KClO4 8KCl 5O2, whilst on a more rapid heating the quantities correspond more nearly to 10KClO3 6KClO4 4KCl 3O2. The decomposition is rendered more easy and regular by mixing the salt with powdered manganese ...
— Encyclopaedia Britannica, 11th Edition, Volume 6, Slice 3 - "Chitral" to "Cincinnati" • Various

... cannot but feel that the evidence presented to him is bewildering, indecisive, and obscure; and it may occur to him that the author is very like an individual who proposes to determine the value of two or three unknown quantities from one simple algebraic equation. His principal witness, Aristides, were he now living and brought up in presence of a jury, would find himself in rather an odd predicament. He is expected to settle the date of the death of Polycarp, and yet he knows nothing either of the pastor ...
— The Ignatian Epistles Entirely Spurious • W. D. (William Dool) Killen

... to the labor price, as any better expression of the real value than the money price, would be that it is an equivocal expression, leaving it doubtful on which side of the equation the disturbance had taken place, or whether on both sides. In which objection, as against others, you may be right; but you must not urge this against Adam Smith; because, on his theory, the expression is not equivocal; the disturbance can be only on one side of the equation, namely, in your hat. ...
— Memorials and Other Papers • Thomas de Quincey

... the other is simply an addition of x—x to the equation. If by next November we can get a single cotton-port open, we shall have settled that Uncle Tom and the Duchess of Sutherland may return to the social cabinet of Great Britain,—and that being so, the political cabinet ...
— Atlantic Monthly, Volume 8, No. 48, October, 1861 • Various

... nature is adapted to conditions variable, undetermined, and hidden from our view. We are not fitted to live in a world where a b always equals c, and there is nothing more to follow. The interest of life's equation arrives with the appearance of x, the unknown quantity. A settled, unchangeable, clearly foreseeable order of things does not suit our constitution. It tends to melancholy and a fatty heart. Creatures of habit we are undoubtedly; but ...
— Fisherman's Luck • Henry van Dyke

... came to the designated second for the forward movement. The Master blew no whistle, gave no signal to the many others scattered all through those darkly silent woods; but right and left, and over beyond the stockade, he knew with the precision of a mathematical equation every man was at that exact moment also arising, also obeying orders, also preparing to close in on the precious thing whereof they meant to make ...
— The Flying Legion • George Allan England

... city, even then, but I never felt so lonely anywhere outside a camp in the big woods, The last day of the first week came, but no letter from Hope. To make an end of suspense I went that Saturday morning to the home of the Fullers. The equation of my value had dwindled sadly that week. Now a small fraction would have stood for it—nay, ...
— Eben Holden - A Tale of the North Country • Irving Bacheller

... Austin, very crude!" remarked St Aubyn, patting his shoulder as they walked. "There's more in religion than that, a great deal. Beware of generalising too widely, and don't forget the personal equation. Now, come and have a look at the orchids. I've got one or two rather fine ones ...
— Austin and His Friends • Frederic H. Balfour

... things, only one statement is made, such as y 2, it is satisfied by a whole row of points, all the points in a horizontal line 2 feet above the ground. Hence y 2 may be said to represent that straight line, and is called the equation to that straight line. Similarly x 6 represents a vertical straight line 6 feet (or inches or some other unit) from the left-hand edge. If it is asserted that x 6 and y 2, only one point can be found to satisfy both conditions, ...
— Pioneers of Science • Oliver Lodge

... of the curve is best expressed in Fig. 2, where PQ represents any given deviation from the average value, and the ratio of PO to AB represents the relative probability of its occurrence. The equation to the curve and a discussion of its properties will be found in the Proceedings of the Royal Society, No. 198, 1879, by Dr. M'Alister. The title of the paper is the "Law of the Geometric Mean," ...
— Inquiries into Human Faculty and Its Development • Francis Galton

... preparation of heavy mild ales and stouts, as it gives a peculiarly sweet and full flavour to the beer, to which, no doubt, the popularity of this class of beverage is largely due. Invert sugar is prepared by the action either of acid or of yeast on cane sugar. The chemical equation representing the conversion (or inversion) ...
— Encyclopaedia Britannica, 11th Edition, Volume 4, Part 3 - "Brescia" to "Bulgaria" • Various

... Who can solve the equation of womanhood? Colonel Joseph is effusive in his cheery greeting. "My dear madame, I am glad to be in Paris once more." He would charm this sphinx into life and ...
— The Little Lady of Lagunitas • Richard Henry Savage

... Previously it was essential that the surgeon should depend upon his own diagnosis, upon what he could learn from his sense of touch and from surrounding conditions. With the X-Rays at his disposal he can quite eliminate the personal equation. His pictures are precise and mathematically accurate; he can prove the truth of his diagnosis before he cuts. We can take pictures of fractured bones and from what we learn we can immediately tell how they should be set to attain the very best results. We can actually ...
— The Eugenic Marriage, Volume IV. (of IV.) - A Personal Guide to the New Science of Better Living and Better Babies • Grant Hague

... to have paid back Kirby's generosity in kind. If her sister had not been a factor of the equation she would have gone straight to the police with her story and suffered arrest gladly to help her friend. But the circumstances did not permit a heroic gesture. She had to take ...
— Tangled Trails - A Western Detective Story • William MacLeod Raine

... accordance with the principle; also Avicenna's definition (Metaph. viii, 6), "The truth of each thing is a property of the essence which is immutably attached to it." The definition that "Truth is the equation of thought and thing" is applicable to it ...
— Summa Theologica, Part I (Prima Pars) - From the Complete American Edition • Thomas Aquinas

... would be the pleasure of it? It would be transformed into an endless church service; it would be holy, but tedious. But what about me? I suffer, but still, I don't live. I am x in an indeterminate equation. I am a sort of phantom in life who has lost all beginning and end, and who has even forgotten his own name. You are laughing— no, you are not laughing, you are angry again. You are for ever angry, all you care about is intelligence, but I repeat again that I would give away all this ...
— The Brothers Karamazov • Fyodor Dostoyevsky

... person. Ever since civilization began and until yesterday it has been assumed that wealth was simply ability legitimately funded and transmitted. Even modern humanitarians, while dallying with the equation wealth spoliation, have been unwilling wholly to relinquish the historic view of the case. I have always admired the courage with which Mr. Howells faced the situation in one of those charming essays for the Easy Chair of Harper's. Driving one night in a comfortable cab he was suddenly ...
— The Unpopular Review, Volume II Number 3 • Various

... in his review, I saw in my mind's eye the algebraic equation of Snow, the equals sign, and the answer in the ...
— Waifs and Strays - Part 1 • O. Henry

... existent by implication, to which add essays on various subjects or moral apothegms (e.g. My Favourite Hero or Procrastination is the Thief of Time) composed during schoolyears, seemed to him to contain in itself and in conjunction with the personal equation certain possibilities of financial, social, personal and sexual success, whether specially collected and selected as model pedagogic themes (of cent per cent merit) for the use of preparatory and junior grade students or contributed in printed form, following the precedent of Philip ...
— Ulysses • James Joyce

... power. He understood that one of the mainsprings of the system was the independence of the judges. He realized that the party-system—he never used the actual term—while it provides room for men's ambitions at the same time prevents the equation of ambition with indispensability. "Woe to him," says De Lolme, "... who should endeavor to make the people believe that their fate depends on the persevering virtue of a single citizen." He sees the paramount value of freedom ...
— Political Thought in England from Locke to Bentham • Harold J. Laski

... most definitely the meaning of a 'thing', for it represents measured spatial distance. Of the two factors on the other side of the second equation, one must needs have the same quality as s: this is c. Thus for the other factor, t, there remains the property of a pure number. We are, therefore, under an illusion if we assume the factor c to represent anything ...
— Man or Matter • Ernst Lehrs



Words linked to "Equation" :   regression of y on x, biquadratic, mathematics, quadratic, maths, equate, position, egalite, math, tie, mathematical statement, equating, equalisation, egality, status, equalization, leveling



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