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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



... permits escape of liquid from the anterior chamber, is the one which apparently holds out the most hope of permanently relieving the condition. While success will depend always to a certain extent upon the personal equation, yet it seems now that for a large majority if not all of the cases we are justified in abandoning all other operations than trephining, notwithstanding the verdict of Elschnig and others that fistula forming ...
— Glaucoma - A Symposium Presented at a Meeting of the Chicago - Ophthalmological Society, November 17, 1913 • Various

... the agonised criminal; whisper courage, brother, courage, at the ghastly deathbed, and strike down the infidel with the lance of evidence and the shield of reason!' In a pecuniary point of view I am confident, nay, the calculations may be established as irresistibly as an algebraic equation, that I can realise, as incumbent of Lady Whittlesea's chapel, the sum of not less than one thousand pounds per annum. Such a sum, with economy (and without it what sum were sufficient?), will enable me to provide amply for my wants, to discharge my obligations ...
— The Newcomes • William Makepeace Thackeray

... 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 ...
— Memoir of John Lothrop Motley, Complete • Oliver Wendell Holmes, Sr.

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

... of conventional surprise worn by mistresses of the house towards those they do not know, but she did not disguise the expression of annoyance which, at my appearance, clouded her countenance with the thought that I was aware how ill-timed was my presence. My master, doubtless absorbed in an equation, had not yet raised his head; I therefore waved my right hand towards the young lady, like a fish moving his fin, and on tiptoe I retired with a mysterious smile which might be translated "I will not be the one to prevent him committing an act of infidelity ...
— The Physiology of Marriage, Part II. • Honore de Balzac

... thus until six o'clock, and, little by little, the question presents itself to his mind with the strictness of an equation, bare and dry and cleared of all the details that ...
— The Hollow Needle • Maurice Leblanc

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

... tendency to become changed into acts; their motor effects are indirect, and at a long range. But this intermediate moment is par excellence the moment for psychology. It is also the moment of the personal equation: every man receives, transforms, and restores outwards according to his own organization, temperament, idiosyncrasies, character—in a word, according to his personality, of which needs, tendencies, desires, are the ...
— Essay on the Creative Imagination • Th. Ribot

... it is evident that the facts so far collected have not cumulative force enough to establish in the generality of disciplined minds a substantial unanimity of conviction. There are far too many alternatives in the interpretation of the facts and, in general, the personal equation of the investigator colours the conclusions reached. Of course this is, in a measure, true in every field of investigation, but it is ...
— Modern Religious Cults and Movements • Gaius Glenn Atkins

... 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 Crane ...
— Little Journeys to the Homes of the Great, Vol. 2 of 14 - Little Journeys To the Homes of Famous Women • Elbert Hubbard

... 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 ...
— Theodore Roosevelt - An Autobiography by Theodore Roosevelt • Theodore Roosevelt

... the coefficient in the last equation for the lesser heads, it was found, by calculation, that the least cost could be obtained with a head from 300 to 350 feet. The head fixed upon was 303.6 feet, with a length of 4,438.7 feet. A profile of the pipe, with nearly the same horizontal and vertical scales (horizontal ...
— Scientific American Supplement, No. 455, September 20, 1884 • Various

... the Captain, who had been looking over the paper, "you have worked the thing out very well. You have the integral equation of the living forces, and I have no doubt it will give us ...
— All Around the Moon • Jules Verne

... death rate is only one factor in the vital equation. The birth rate is equally important. Mr. Hoffman concedes, with reluctant reservation, that the colored birth rate may be greater than that of the whites. "That the birth rate of the Negroes is in excess of that of the white population ...
— A Review of Hoffman's Race Traits and Tendencies of the American Negro - The American Negro Academy. Occasional Papers No. 1 • Kelly Miller

... it looks like plenty. What's the equation for it?" Beneath his jocularity, Phil felt a tremendous sinking within him. It looked serious, despite the fact that he did ...
— The Einstein See-Saw • Miles John Breuer

... almost unformed and not yet ground down; but that is mere pedantry in most cases. We have enough in what lies before us in the oldest form in attested documents, to show us the right formula for the equation. ...
— Chips From A German Workshop. Vol. III. • F. Max Mueller

... I came out of the chamber all protoplast except for the spinal zone. Yet I was still Treb Hawley. As the coma faded away, the last equation faded in, completely meaningful and soon followed by all the leads I could handle for the next ...
— Man Made • Albert R. Teichner

... preceding statement it has been objected, that "we naturally construe the subject of a proposition in its extension, and the predicate (which therefore may be an adjective) in its intension (connotation): and that consequently co-existence of attributes does not, any more than the opposite theory of equation of groups, correspond with the living processes of thought and language." I acknowledge the distinction here drawn, which, indeed, I had myself laid down and exemplified a few pages back (p. 77). But though it is true that we naturally "construe the subject of a proposition in ...
— A System Of Logic, Ratiocinative And Inductive • John Stuart Mill

... of a great mill building corporation, was especially interested in the personal equation concerning the students, particularly after Bill Brown bad asked him a lot of questions, some of which he had replied to rather lamely. Even more as a matter of getting back at this young investigator who sat with a crutch held before him and regarded these replies with ...
— Radio Boys Loyalty - Bill Brown Listens In • Wayne Whipple

... The equation of the real and the rational, or the discovery of one significant process underlying both life and reason, led Hegel to proclaim a new kind of logic, so well characterized by Professor Royce as the "logic of passion." To repeat what has been said above, this means that ...
— The German Classics of The Nineteenth and Twentieth Centuries, Vol. VII. • Various

... that a is an attainable result, whatever values may be assigned to the other factors. If we assign concrete dollars to the abstract x and y, a theoretically becomes concrete dollars as well. But immediately we do this, another factor known as the personal equation calls for cards, and from then on insists upon sitting in the game. Simple algebra no longer suffices; calculus, differential as well as integral, enters into our problem, and if we can succeed in fencing out quaternions, to ...
— Blue Goose • Frank Lewis Nason

... scientifically how a certain 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

... dear Cyril, upon the illogicality of American life. You know what the plutocratic principle is, and what the plutocratic civilization should logically be. But the plutocratic civilization is much better than it should logically be, bad as it is; for the personal equation constantly modifies it, and renders it far less dreadful than you would reasonably expect. That is, the potentialities of goodness implanted in the human heart by the Creator forbid the plutocratic ...
— Through the Eye of the Needle - A Romance • W. D. Howells

... pendulum, as has been described, it will be possible to express BA', that is, the width of a band, in terms of the widths and rates of movement of the two sectors and of the pendulum. This expression will be an equation, and from this it will be possible to derive the phenomena which the bands of the illusion actually present as the speeds of disc and rod, and the widths of ...
— Harvard Psychological Studies, Volume 1 • Various

... discovered the great inequality, called the "variation," amounting to 37', and depending on the alternate acceleration and retardation of the moon in every quarter of a revolution, and he had also ascertained the existence of the annual equation. Of these two inequalities Newton gave a most ...
— The Great Events by Famous Historians, Volume 12 • Editor-In-Chief Rossiter Johnson

... efficiency. The more brilliant qualities, like courage and imagination, must be coupled with capacity for investigation and analysis, with endless patience in seeking out the twos and the fours and eliminating them from the equation. When it is possible by scientific research to distinguish a right way and a wrong way to do a task, it is not an evidence of courage or imagination but of folly to act on a faulty and ...
— Higher Education and Business Standards • Willard Eugene Hotchkiss

... The change from poverty to riches has been so rapid that it's more like a dream than a reality. And here's the worst feature of the whole business," continued Welborn as the two made their way to the ticket wagon. "Here's the fly in the ointment. My side of the equation has been nothing but plus, plus. I am fearful that yours will be more than minus. You are tired of the mob; you want to get away from the crowds. You have a mental picture of the ranching business; horses, cattle, cowboys, knee-deep grass billowing through the great open spaces. It's your ...
— David Lannarck, Midget - An Adventure Story • George S. Harney

... 52 places. But one answer, by Mr. W. Harris Johnston,[144] of Dundalk, and of the Excise Office, went to 101 decimal places. To test the accuracy of this, I requested Mr. Johnston to undertake another equation, connected with the former one in a way which I did not explain. His solution verified the former one, but he was unable to see the connection, even when his result was obtained. My reader may be as much at a loss: ...
— A Budget of Paradoxes, Volume II (of II) • Augustus de Morgan

... of the mandible. From the carnassial tooth you can infer the reduced clavicle, and so on. "In a word, the form of the tooth implies the form of the condyle; that of the shoulder blade that of the claws, just as the equation of a curve implies ...
— Form and Function - A Contribution to the History of Animal Morphology • E. S. (Edward Stuart) Russell

... golden snare 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

... boat and were soon afloat On a sea of Speculation, But the sea grew rough, and their boat, though tough, Was split into an Equation. ...
— A Nonsense Anthology • Collected by Carolyn Wells

... the stars by right ascensions and declinations; he was acquainted with the obliquity of the ecliptic. He determined the inequality of the sun, and the place of its apogee, as well as its mean motion; the mean motion of the moon, of its nodes and apogee; the equation of the moon's centre, and the inclination of its orbit; he likewise detected a second inequality, of which he could not, for want of proper observations, discover the period and the law. His commentary on Aratus shows that he had expounded, and given a geometrical demonstration of, the methods ...
— The Old Roman World • John Lord

... 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 ...
— The Minds and Manners of Wild Animals • William T. Hornaday

... then, 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; ...
— Memorials and Other Papers • Thomas de Quincey

... closely connected with, heredity is memory. I do not profess to show why anything can remember at all, I only maintain that whereas, to borrow an illustration from mathematics, life was formerly an equation of, say, 100 unknown quantities, it is now one of only, inasmuch as memory and heredity have been shown to be one ...
— The Note-Books of Samuel Butler • Samuel Butler

... multiply it. Let aspirants to science well understand, then, that neither the juggler's tricks nor miracles are to be asked of the adept. The Hermetic science, like all the real sciences, is mathematically demonstrable. Its results, even material, are as rigorous as that of a correct equation. ...
— Morals and Dogma of the Ancient and Accepted Scottish Rite of Freemasonry • Albert Pike

... Senior Second. "Well, here's luck!" That is what he said aloud; to himself he always said a bit of a prayer, realising perhaps even more than the bridge how little man's wits count in the great equation. He generally said something to the effect that "After all, it's up to ...
— Love Stories • Mary Roberts Rinehart

... plus-or-minus bugger factor. The time-lapse due to distance had a presumed correction and there was a considerable probable error in the speed of translation of the ship during overdrive. It was a moderately complicated equation, and the computation of the probable error was especially tricky. Bors stared at it, ...
— Talents, Incorporated • William Fitzgerald Jenkins

... involution of spirit into matter and of the evolution of matter into spirit. If, on the one hand, we insist too strongly on one view, we shall only have a one-sided conception of the process; if, on the other, we neglect one factor, we shall never solve the at present unknown quantity of the equation. Thus the Soul is represented as the "lost sheep" struggling in the meshes of the net of matter, passing from body to body, and the Spirit is represented as descending, transforming itself through the spheres, in order to finally rescue its Syzygy from ...
— Simon Magus • George Robert Stow Mead

... his equation: it had cleared itself up; he worked it out in five minutes. Betty came to tell him that the dinner was ready, and he went down, peaceful ...
— Robert Falconer • George MacDonald

... 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 ...
— The Mystery of 31 New Inn • R. Austin Freeman

... England should retain Guadaloupe or Canada. She had conquered both, but it seemed to be admitted that she must restore one. It was even then a comical bit of political mathematics to establish anything like an equation between the two, nor could it possibly have been done with reference to intrinsic values. It was all very well to dilate upon the sugar crop of the island, its trade, its fertility, its harborage. Every one knew that ...
— Benjamin Franklin • John Torrey Morse, Jr.

... 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

... understand their secret meaning, peculiarly interesting. A 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 ...
— Atlantic Monthly, Volume 3, No. 19, May, 1859 • Various

... other departments of life, ability and industry usually have their reward; but alone they do not always command success. Other factors there are in the equation of life and not least luck and opportunity. In those distant days, in the pride of youth, I was too apt to think that they who succeeded owed their success to themselves alone; but the years have taught me that this is not always so, and I have ...
— Fifty Years of Railway Life in England, Scotland and Ireland • Joseph Tatlow

... internal 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 ...
— Deep Furrows • Hopkins Moorhouse

... 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

... does not know the truth. He has been lied to from the cradle; taught a set of catchwords, a set of wise saws, a set of moral rules, logarithms by which the equation of life could be worked out, all arbitrary, and many grossly erroneous. He is led to believe that his father or the schoolmaster has grasped the scheme of human life and ...
— Dwellers in the Hills • Melville Davisson Post

... represented by a logarithmic curve, of which the ordinates increase in arithmetical progression; while the abscissae increase in geometrical progression; and lastly, that the curvature of the profile will be expressed by the equation ...
— The Bow, Its History, Manufacture and Use - 'The Strad' Library, No. III. • Henry Saint-George

... was not mathematically accurate, as the condition of track, the weather, and the personal equation of the locomotive engineers all had an effect, but, later, when correcting the rating by tests with dynamometers, it was found that ...
— Transactions of the American Society of Civil Engineers, Vol. LXX, Dec. 1910 • Beverly S. Randolph

... 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 ...
— Life at High Tide - Harper's Novelettes • Various

... observational astronomy. He measured the obliquity of the ecliptic, and agreed with Eratosthenes. He altered the length of the tropical year from 365 days, 6 hours to 365 days, 5 hours, 53 minutes—still four minutes too much. He measured the equation of time and the irregular motion of the sun; and allowed for this in his calculations by supposing that the centre, about which the sun moves uniformly, is situated a little distance from the fixed earth. He called this point ...
— History of Astronomy • George Forbes

... and lead them. I do not know who was found to broach the matter to Dr Drummond; report says his relative and housekeeper, Mrs Forsyth, who perhaps might do it under circumstances of strategical advantage. Mrs Forsyth, or whoever it was, had her reply in the hidden terms of an equation—was it any farther for the people of East Elgin to walk to hear him preach than for him to walk to minister to the people of East Elgin, which he did quite once a week, and if so, how much? Mrs Forsyth, or ...
— The Imperialist • (a.k.a. Mrs. Everard Cotes) Sara Jeannette Duncan

... diminishes the brightness of the blue. The negative values of U indicate that a mixture of V, U, and E cannot be made equivalent to the given colour. The experiments from which these results were taken had the negative values transferred to the other side of the equation. They were all made by means of the colour-top, and were verified by repetition at different times. It may be necessary to remark, in conclusion, with reference to the mode of registering visible colours in terms of three arbitrary standard colours, that it proceeds ...
— Five of Maxwell's Papers • James Clerk Maxwell

... from the young writers of their time who were making war on stilted rhetoric and conventionalism of phrase. Schumann touches hands with the Romantic poets in their strivings in two directions. His artistic conduct, especially in his early years, is inexplicable if Jean Paul be omitted from the equation. His music rebels against the formalism which had held despotic sway over the art, and also seeks to disclose the beauty which lies buried in the world of mystery in and around us, and give expression to the multitude of ...
— How to Listen to Music, 7th ed. - Hints and Suggestions to Untaught Lovers of the Art • Henry Edward Krehbiel

... time when I could solve an equation of three unknown quantities, and could even jimmy a quantity out from under a radical sign, and had the feeling that I was quite a fellow. Then one day I went into a bookstore to buy a book. I had quite ...
— Reveries of a Schoolmaster • Francis B. Pearson

... also argues that the jury can eliminate "the personal equation" better than the judge. But is this so? Does education count for nothing in producing that calm, firm, passionless state of mind which is essential in those who determine causes ...
— The Bay State Monthly - Volume 2, Issue 3, December, 1884 • Various

... 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 is brought about ...
— Autobiography of a YOGI • Paramhansa Yogananda

... construct from the facts brought to our consciousness by the senses, an accurately measured world of phenomena, uncoloured by the human equation in each of us. It seeks to create a point of view outside the human standpoint, one more stable and accurate, unaffected by the ever-changing current of human life. It therefore invents mechanical instruments to do the measuring ...
— The Practice and Science Of Drawing • Harold Speed

... determine for himself what are the effects of the properties of lines upon open or cable circuits will find most of the subject in the following equation. It tells the value of a in terms of the four properties, a being the attenuation ...
— Cyclopedia of Telephony & Telegraphy Vol. 1 - A General Reference Work on Telephony, etc. etc. • Kempster Miller

... the fly, slowing down now and then to read something, until a yell from Santos or Koa warned that the sun line was creeping close. When he had all data noted on the board, he started his mathematics. He was right in the middle of a laborious equation when he stumbled over a thorium crystal. He went headlong, shooting like a rocket three feet above the ground. His board flew away at a tangent. His stylus sped out of his glove like a miniature projectile, and the slide rule clanged against ...
— Rip Foster in Ride the Gray Planet • Harold Leland Goodwin

... par, quits, a wash; not a pin to choose; distinction without a difference, six of one and half a dozen of the other; tweedle dee and tweedle dum [Lat.]; identity &c 13; similarity &c 17. equalization, equation; equilibration, co-ordination, adjustment, readjustment. drawn game, drawn battle; neck and neck race; tie, draw, standoff, dead heat. match, peer, compeer, equal, mate, fellow, brother; equivalent. V. be equal &c adj.; equal, match, reach, keep pace with, run abreast; come to, amount to, come ...
— Roget's Thesaurus of English Words and Phrases: Body • Roget

... plays had been acted frequently in the German theaters. The scenes of these early plays are laid in Norway, it is true, and the characters are all Norwegian, and altho it is easy enough for us, to-day, with our knowledge of what Ibsen has become, to find in them the personal equation of the author, still he was then frankly continuing the French tradition of stage-craft, with a willing acceptance of the formula of the "well-made play" and with no effort after novelty in his dramaturgic method. Not until he brought forth the 'Ghosts' is there any overt assertion ...
— Inquiries and Opinions • Brander Matthews

... only woman who can state woman. The unknown quantity falls not within the terms of any equation to which man can reduce her. Master, teacher of all other lessons in nature, here he must be the taught. Leader of all other movements, here he must be follower. Greater must not only ...
— The Continental Monthly, Vol. 4, No. 1, July, 1863 - Devoted to Literature and National Policy • Various

... places one instantly in an older France. We ramble with curiosity in and out among the streets and shops, finding no one preeminent attraction, but an infinite number of minor ones which maintain the equation. In fact there is little for the guide-book sight-seer in Bayonne. The cathedral leaves only a dim impression of being in no wise remarkable. The citadel affords, it is said, a wide-ranging view, but ...
— A Midsummer Drive Through The Pyrenees • Edwin Asa Dix

... has likewise seen things at 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

... University honors, that his scientific attainments are far from inconsiderable. He is well known to be the author of an essay in the Philosophical Transactions on the accurate rectification of a circular arc, and of an investigation of the equation of a lunar caustic—a problem likely to become of great ...
— A Budget of Paradoxes, Volume I (of II) • Augustus De Morgan

... 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 take ...
— Edison, His Life and Inventions • Frank Lewis Dyer and Thomas Commerford Martin

... will with passion. In short, he simplifies too much, and looks at man from that more elementary point of view which is only sufficient in the case of the animal. That spontaneity which is vital or merely chemical he already calls will. Analogy is not equation; a comparison is not reason; similes and parables are not exact language. Many of Schopenhauer's originalities evaporate when we come to translate them into a more close ...
— Amiel's Journal • Mrs. Humphry Ward

... his standing with Ophelia although each had reason to believe that he was her favorite. Her interest in Charley added an unexpected and perplexing equation to ...
— The Ramblin' Kid • Earl Wayland Bowman

... as a mathematician solves an equation, or a theologian comes to a conclusion, but more after the manner in which some women and most children will look at a person and say, "I ...
— From Jest to Earnest • E. P. Roe

... question will arise: How many of these blessings are due to Christianity as 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 unknown ...
— Allan Quatermain • by H. Rider Haggard

... hundred people lifting up their hearts in an outburst of emotion—song! Fifteen hundred people of one mind, doing anything in unison—do you know what it means? Ecstasy is essentially a matter of sex. In art and religion sex can not be left out of the equation. The simple fact that in forty years the Negro race in America has increased from four million to ten million tells of their ecstasy as a people. "Only happy beings reproduce themselves," says Darwin. ...
— Little Journeys To The Homes Of Great Teachers • Elbert Hubbard

... in the form of a mare, had twins by Vivasvat, in the shape of a stallion. Their offspring were the Asvins, who are more or less analogous in their helpful character to Castor and Pollux. Now, can it be by accident that Saranyu in the Veda is Erinnys in Greek? To this 'equation,' as we saw, Mannhardt demurred in 1877. Who was Saranyu? Yaska says 'the Night;' that was Yaska's idea. Mr. Max Muller adds, 'I think he is right,' and that Saranyu is 'the ...
— Modern Mythology • Andrew Lang

... of the system; but also, that this axis should follow, the axis of the lunar orbit, at the same mean inclination, during the complete revolution of the node. The mean inclination of the two axes, determined by observation, is 2d 45', and the monthly equation, at a maximum, is about 15', being a plus correction in the northern hemisphere, where the moon is between her descending and ascending node, reckoned on the plane of the vortex, and a minus correction, when between her ascending and descending node. And the mean longitude ...
— Outlines of a Mechanical Theory of Storms - Containing the True Law of Lunar Influence • T. Bassnett

... could hardly be imagined. None of his judgments came true. As a consequence the Republicans for a long time had everything their own way, and, save for the Taft-Roosevelt quarrel, might have held their power indefinitely. All history tells us that the personal equation must be reckoned with in public life. Assuredly it cuts no mean figure in human affairs. And, when politicians fall out—well—the ...
— Marse Henry, Complete - An Autobiography • Henry Watterson

... in virtue of, and as a manifestation of, the same power whereby we are able to remember intelligently what we did half an hour, yesterday, or a twelvemonth since, and this in no figurative but in a perfectly real sense. If life be compared to an equation of a hundred unknown quantities, I followed Professor Hering of Prague in reducing it to one of ninety-nine only, by showing two of the supposed unknown quantities to be so closely allied that they should count as one. I maintained ...
— Luck or Cunning? • Samuel Butler

... readily see," the doctor went on, "how this analysis of the product of industry must needs tend to minimize the importance of the personal equation of performance as between individual workers. If the modern man, by aid of the social machinery, can produce fifty dollars' worth of product where he could produce not over a quarter of a dollar's worth without society, then forty-nine dollars and three quarters out of every fifty dollars ...
— Equality • Edward Bellamy

... 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 of the solar heat may be looked ...
— Outlines of the Earth's History - A Popular Study in Physiography • Nathaniel Southgate Shaler

... Cooper I depend on as a lure for younger readers. When they have read about enough (in my opinion), I invite them to go a little higher. Whenever they come to the office and look helplessly about, I immediately jump up from my work, and, solving the personal equation, pick out two or three books which I think adapted first to interest, and then instruct. I try to welcome their appearance, assuring them that the books are to be read, urging the older ones to read carefully ...
— Library Work with Children • Alice I. Hazeltine

... illustration of the power of the personal equation in the interpretation of history than that afforded by the conflicting opinions respecting the overthrow of monasticism in England. Those who mourn the loss of the monasteries cannot find words strong enough ...
— A Short History of Monks and Monasteries • Alfred Wesley Wishart

... original equation was represented as clearly as possible. An image of the original equation can be found in the html version of ...
— G. K. Chesterton, A Critical Study • Julius West

... given. Harriot considered algebraical equations merely as analytical expressions, detached wholly from the operations by which they might be individually produced ; and, carrying all the terms over to one side, he assumed the hypothesis, that, as in that state the equation was equal to nothing, it could always be reduced to as many simple factors as there were units in the index of ...
— Thomas Hariot • Henry Stevens

... instrument-table and plunged into a maze of mathematics, of masses and weights, angles and distances. Half an hour later he stood looking at the last symbol on the last sheet of paper with something like fear. It was the fatal x which remained to satisfy the last equation, the unknown quantity which represented the unseen force that was dragging them into the outer wilderness of insterstellar space, into far-off regions from which, with the remaining force at his disposal, ...
— A Honeymoon in Space • George Griffith

... them into the language of sincere living. National honor ought to be made a clearer idea. We ought at least to be sure it contains the idea of honesty. Such prejudices as our history has encouraged in us must be recognized, and computed in our personal equation. These prejudices we certainly harbor—in regard to our own particular type of government, our culture and education, our freedom and our democracy and our security. Every nation appears to have its own idols, its concealments and its self-deceptions, its belief in its own supremacy ...
— The Psychology of Nations - A Contribution to the Philosophy of History • G.E. Partridge

... the interjection, an elliptical term which comprises the three terms of a proposition. In summing up the value of a simple proposition, we have (a noteworthy thing) the figure 9. This gives the accord of 9. The subject 1, the verb 2, and 6 upon the attribute, equal 9. Thus the equation is perfect. ...
— Delsarte System of Oratory • Various

... Mr. Hodge is a co-operative enthusiast and probably considers that the result which he sees flowing from his efforts are due to the working of co-operation. I, who was able to watch the efforts, had no hesitation in inferring that the personal equation counted for success in the one and ...
— Third class in Indian railways • Mahatma Gandhi

... The personal equation is always a prominent factor in human ambitions, and nowhere was it more emphatically dominant than in the mutual jealousies of the men of Florence. The "xy" sign of absolute assurance had its match and equal in the "x-y" sign of restrictive deference. ...
— The Tragedies of the Medici • Edgcumbe Staley

... semblance of death in its insect victim, reducing all the vital functions to the point of dissolution, and then holds them suspended—literally prolongs life, it would sometimes seem, even beyond its normal duration—by a process which I might call ductile equation. This chemical resource is common to all the hornets, whether their victims be grasshoppers, spiders, cicadae, or caterpillars. In a condition of helpless stupor they are lugged off to the respective ...
— My Studio Neighbors • William Hamilton Gibson

... been disposed of himself,' said Selpdorf, 'and he is the one human being for whom the good Counsellor has the slightest regard. In politics it is necessary to consider the personal equation. To touch Counsellor in his weakest point would have been to alienate England at ...
— A Modern Mercenary • Kate Prichard and Hesketh Vernon Hesketh-Prichard

... the limits of commonplace blasphemy as well. Turning his back on the priest he rushed from the room, slamming the door behind him. And, being a ruminant fat mortal, the priest sat so still considering on which side of the equation his own bread might be buttered as to cause the impression that the room was empty; whereas only the maharajah had left it. And a little later the ...
— Guns of the Gods • Talbot Mundy

... chest: he must not forget that. Slowly he 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 ...
— Lippincott's Magazine Of Popular Literature And Science, No. 23, February, 1873, Vol. XI. • Various

... the rain ceases, the sun shines, and the harvest is safely housed, when no one expected it, our Professor may, if he will, consult the barometer, discourse about the atmosphere, and throw what has happened into an equation, ingenious, even though it be not true; but, should he proceed to rest the phenomenon, in matter of fact, simply upon a physical cause, to the exclusion of a divine, and to say that the given case actually belongs to his science because other like cases do, I must tell him, Ne sutor ultra ...
— The Idea of a University Defined and Illustrated: In Nine - Discourses Delivered to the Catholics of Dublin • John Henry Newman

... eagerness, also, to play fast and loose for the names of great foreign cities have at least this virtue. Jimmy, too, looked very well when he was dressed and, as he stood in the hall giving a last equation to the bows of his dress tie, his father may have felt even commercially satisfied at having secured for his son qualities often unpurchaseable. His father, therefore, was unusually friendly with Villona and his manner expressed a real respect for foreign accomplishments; but this subtlety ...
— Dubliners • James Joyce

... 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

... this, probably most English-speaking lawyers would accept the preventive theory without hesitation. As to the violation of equal rights which is charged, it may be replied that the dogma of equality makes an equation between individuals only, not between an individual and the community. No society has ever admitted that it could not sacrifice individual welfare to its own existence. If conscripts are necessary for its army, it seizes them, and marches ...
— The Common Law • Oliver Wendell Holmes, Jr.

... recital of dry detail. Personally, I should like to do so, Miss Katherine; I honestly admire your independence, and I believe that you might even be able to suggest some helpful ideas, but business does not concern itself with the personal equation." ...
— The Short Line War • Merwin-Webster

... historian's record, the philosopher's system. In the field of metaphysical poetry it has recently been identified by Santayana as "normal madness." In its milder forms, the fallacy is now known by every one as the "personal equation"; in its pronounced, abnormal manifestations it is known by the psychoanalysts as "transference." It is a Protean fallacy woven into the emotional texture of the human mind. Nothing, for it, is sacred enough to be inviolate. For Spinoza discovered it sanctimoniously enshrined even ...
— The Philosophy of Spinoza • Baruch de Spinoza

... and only ask humbly whether the good of the whole be not made up of the good of the parts, and whether as a part he have not some right to his share of good, the dexterous logical arithmetician answers, that B is totally out of the question, because B is a negative quantity in the equation. And if obstinate B, still conceiving himself aggrieved, objects to this total annihilation of himself and his interests, and asks why the lot of extinction should not fall upon the debtor C, or even upon the calculator himself, by whatever letter of the alphabet he happens ...
— Tales and Novels, Vol. IV • Maria Edgeworth

... useful to all, yet he ought not to flatter himself that in either respect he has been entirely successful. In ecclesiastical history, no more than in any other branch of history, is it possible for an author who is really absorbed in his work to eliminate completely the personal equation. He should be glad to be informed of any instance in which he may have unwittingly failed in impartiality, that when occasion presented he might correct it. The day has gone by in which ecclesiastical history can not ...
— A Source Book for Ancient Church History • Joseph Cullen Ayer, Jr., Ph.D.

... appreciates in money the military allowance, a piece of gold (eleven shillings) was equivalent to eighty pounds of bacon, or to eighty pounds of oil, or to twelve modii (or pecks) of salt, (Cod. Theod. l. viii. tit. iv. leg. 17.) This equation, compared with another of seventy pounds of bacon for an amphora, (Cod. Theod. l. xiv. tit. iv. leg. 4,) fixes the price of wine at ...
— The History of The Decline and Fall of the Roman Empire - Volume 3 • Edward Gibbon

... 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 ...
— Narrative And Miscellaneous Papers • Thomas De Quincey

... have not yet 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 in nature is in the air in our ...
— Our Friend John Burroughs • Clara Barrus

... 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 ...
— Ancient art of the province of Chiriqui, Colombia • William Henry Holmes

... go to form military history. A military situation is made up of many factors, and before a ship can be called obsolete, useless to the great general result, it must be determined that she can contribute no more than zero to either side of the equation—or of the inequality. From the time she left the hands of the designers, a unit of maximum value, throughout the period of her gradual declension, many years will elapse during which a ship once first-rate will be an object of consideration to friend and ...
— Lessons of the war with Spain and other articles • Alfred T. Mahan

... put both of those up to him, and they seemed to embarrass him a little. I gathered that he had suggested them both to Mrs. Carstairs, and that she had turned them down hard. The ground seemed delicate. You see, we must allow for the personal equation in all this. No matter where they met, he couldn't hang around the house getting acquainted with Mary without coming into sort of intimate contact with Mrs. Carstairs, and giving a kind of domestic touch to their relations. ...
— Captivating Mary Carstairs • Henry Sydnor Harrison

... left out of her calculations was herself. She had known the man, had taken the situation at its proper value. But she had left out this important factor in the equation,—that factor which in every relationship between man and woman determines the ...
— K • Mary Roberts Rinehart

... mental perception, makes a not insignificant difference in each individual. Astronomers first discovered the existence of this difference, in that they showed that various observers of contemporaneous events do not observe at the same time. This fact is called "the personal equation.'' Whether the difference in rate of sense-perception, or the difference of intellectual apprehension, or of both together, are here responsible, is not known, but the proved distinction (even to a second) is so much the more important, since events which ...
— Robin Hood • J. Walker McSpadden

... journals, and that Lurida presented such a neat solution that the young man fell in love with her on the strength of it. I don't think the story is literally true, nor do I believe that other report that he offered himself to her in the form of an equation chalked on the blackboard; but that it was an intellectual rather than a sentimental courtship I do not doubt. Lurida has given up the idea of becoming a professional lecturer,—so she tells me,—thinking that her future husband's parish will find her work ...
— A Mortal Antipathy • Oliver Wendell Holmes, Sr.

... forward, clutching the seat arms. It had to work! His equation must be right! The symbol had the proper cultural connotations. It was bound to capture the audience, put them in the right mood of awe-struck superstitious reverence, make the revelation of the great circle of the Ipplinger starship overhead ...
— The Glory of Ippling • Helen M. Urban

... Tristan's reasons for carrying off Isolde are clear to him from Marke's 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

... as mixed and sixty-seven as bad. This leaves the remaining cases "suspended in the air,'' and Dr. Bergen conjectures that "perhaps the missionary felt in such a confused mental state at their conclusion, that he was quite unable to work out the complicated equation of their results.'' ...
— An Inevitable Awakening • ARTHUR JUDSON BROWN

... symptoms of mania; but, however that might be, there was the banjo, a witness whose silent testimony there was no gainsaying. The more I meditated on the matter the more inconceivable did it appear. Two hundred years—twenty-four hours; these were the terms of the proposed equation. Ken and the banjo both affirmed that the equation had been made; all worldly knowledge and experience affirmed it to be impossible. "What was the explanation? What is time? What is life? I felt myself beginning to doubt the reality of all things. And so this was the mystery which my ...
— David Poindexter's Disappearance and Other Tales • Julian Hawthorne

... the 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, that you can bring ...
— The Parables of Our Lord • William Arnot

... intelligence, I try to imagine how I should myself have proceeded under the same circumstances. In this case the matter was simplified by Brunton's intelligence being quite first rate, so that it was unnecessary to make any allowance for the personal equation, as the astronomers have dubbed it. He knew that something valuable was concealed. He had spotted the place. He found that the stone which covered it was just too heavy for a man to move unaided. What would he do ...
— The Strand Magazine, Volume V, Issue 29, May 1893 - An Illustrated Monthly • Various

... The Annual Equation, an irregularity discovered by Tycho Brahe, which is produced by the increase and decrease of the Sun's disturbing force as the Earth approaches or recedes from him in her orbit, had its value first assigned by ...
— The Astronomy of Milton's 'Paradise Lost' • Thomas Orchard

... sort of body thinks about Hamlet, but ourselves being a void so far as distinctively individual opinion goes. A poem, like the Scriptures, is its own best interpreter; and there is always scope for the personal equation in judging literature, because criticism is empiricism in any case, being opinion set against opinion. Different people think different things, and that is the end. Literary criticism can never be an exact science, and everybody may have and ...
— A Hero and Some Other Folks • William A. Quayle

... of them brought to my room the integration of some differential equation in mechanics which had been sent me by our instructor. He was very friendly then, apparently. He told me upon leaving, if I desired any further information to come to his "house," and he would give it. I observed that he ...
— Henry Ossian Flipper, The Colored Cadet at West Point • Henry Ossian Flipper

... value of V (volume under standard conditions) is the one usually sought, it is convenient to transpose the equation to the following form: ...
— An Elementary Study of Chemistry • William McPherson

... 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 ...
— Pioneers of Science • Oliver Lodge

... to fish Harry Goward out of the ocean of New York city doesn't trouble me in the least. Given Aunt Elizabeth, he will complete the equation. If Mrs. Chataway should fail me—But I won't suppose that Mrs. Chataway will fail. I must be sure and explain ...
— The Whole Family - A Novel by Twelve Authors • William Dean Howells, Mary E. Wilkins Freeman, Mary Heaton Vorse, Mary Stewart Cutting, Elizabeth Jo

... simple continued fractions to approximate to the solutions of numerical equations; thus, if an equation has a root between two integers a and a 1, put x a 1/y and form the equation in y; if the equation in y has a root between b and b 1, put y b 1/z, and so on. Such a method is, however, too tedious, compared with such a method ...
— Encyclopaedia Britannica, 11th Edition, Volume 7, Slice 2 - "Constantine Pavlovich" to "Convention" • Various

... of material phenomena, scientific men generally leave to common ignorance, or to moral and theological tradition, all the interests and activities of man, other than those which are physical or physiological. And some of them are even aware, that if they could find the physical equation of man, or, through their knowledge of physiology, actually produce in man the sensations, thoughts, and notions now ascribed to the intelligent life within him, the question of the spiritual or material nature of man and the world, would remain precisely ...
— Browning as a Philosophical and Religious Teacher • Henry Jones

... own strong personal liking. His profound knowledge of human nature in all its forms, not excepting the clerical, professional, and theological sort,—especially when in the fighting mood,—enabled him to measure accurately the personal equation in every problem, even when masked to the point of self-deception. His judicial balance and his power to see the real point in a controversy made him an admirable guide, philosopher, and friend. His vital rather than traditional view and use ...
— Charles Carleton Coffin - War Correspondent, Traveller, Author, and Statesman • William Elliot Griffis

... violets, while sand is truth to a cactus. But when the violet writes a book on "Expression as I Have Found It," making laws for the evolution of beautiful blossoms, it leaves the Century Plant out of its equation, or else swears, i' faith, that a cactus is not a flower, and that a Night-Blooming Cereus is a disordered thought from a madman's brain. And when the proud and lofty cactus writes a book it never mentions violets, because it has never stooped to ...
— Little Journeys to the Homes of the Great Philosophers, Volume 8 • Elbert Hubbard

... 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. Nor ...
— The Pirate Island - A Story of the South Pacific • Harry Collingwood

... FeS. Name it. How 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

... the Fifth Symphony. Is Parsifal a reformation of Gluck? This talk of reform is only confusing the historic with the aesthetic. Art is a tricksy quantity and like quicksilver is ever mobile. As in all genuine revolutions the personal equation counts the heaviest, so in dealing with the conditions of music at the present time one must study the temperament of our music-makers and let prophecy sulk in its ...
— Ivory Apes and Peacocks • James Huneker

... normal sex functions and activities. The actual physical process of reproduction, the details which initiate reproduction in the case of the human being, it seems unnecessary here to describe. In the animal world, into which the moral equation does not really enter, the facts of conjugation represent a simple and natural working-out of functional bodily laws, usually with a seasonal determination. But where man is concerned these facts are so largely made to serve the purposes of pruriency, so exploited to inflame the imagination in an ...
— Sex - Avoided subjects Discussed in Plain English • Henry Stanton

... is over me now, I know. To run would be a confession of weakness and open the field for his further activities, with the rear-guard continuously exposed. There is nothing like the personal equation. I will call at five this afternoon, if you are ...
— The Voice on the Wire • Eustace Hale Ball

... knot of Anglo-Saxon icy reserve that in the end fair England might assume as a policy of world administration the award of citizenship rights to the darker races in the sphere of influence of the league of civilized nations. It was a part of this problem to enter the equation with such deliberate caution as to upset no part of the nicely calculated adjustments of white to darker peoples. And it was also a part of his problem that he should not relinquish his grasp upon the factors that led ...
— Kelly Miller's History of the World War for Human Rights • Kelly Miller

... time that covers the period in which she has been wrestling with this problem. How successfully has she solved it? In the Darwinian sense of the term "fittest," she has not so much as stated her first equation or extracted the root of her first power. She is manifestly as much puzzled over the problem as Mr. Darwin himself. He fails to see that the "survival of the fittest," necessarily implies, or carries with it, the correlative proposition,—the ...
— Life: Its True Genesis • R. W. Wright



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



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