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Equation   Listen
noun
Equation  n.  
1.
A making equal; equal division; equality; equilibrium. "Again the golden day resumed its right, And ruled in just equation with the night."
2.
(Math.) An expression of the condition of equality between two algebraic quantities or sets of quantities, the sign = being placed between them; as, a binomial equation; a quadratic equation; an algebraic equation; a transcendental equation; an exponential equation; a logarithmic equation; a differential equation, etc.
3.
(Astron.) A quantity to be applied in computing the mean place or other element of a celestial body; that is, any one of the several quantities to be added to, or taken from, its position as calculated on the hypothesis of a mean uniform motion, in order to find its true position as resulting from its actual and unequal motion.
Absolute equation. See under Absolute.
Equation box, or Equational box, a system of differential gearing used in spinning machines for regulating the twist of the yarn. It resembles gearing used in equation clocks for showing apparent time.
Equation of the center (Astron.), the difference between the place of a planet as supposed to move uniformly in a circle, and its place as moving in an ellipse.
Equations of condition (Math.), equations formed for deducing the true values of certain quantities from others on which they depend, when different sets of the latter, as given by observation, would yield different values of the quantities sought, and the number of equations that may be found is greater than the number of unknown quantities.
Equation of a curve (Math.), an equation which expresses the relation between the coördinates of every point in the curve.
Equation of equinoxes (Astron.), the difference between the mean and apparent places of the equinox.
Equation of payments (Arith.), the process of finding the mean time of payment of several sums due at different times.
Equation of time (Astron.), the difference between mean and apparent time, or between the time of day indicated by the sun, and that by a perfect clock going uniformly all the year round.
Equation clock or Equation watch, a timepiece made to exhibit the differences between mean solar and apparent solar time.
Normal equation. See under Normal.
Personal equation (Astron.), the difference between an observed result and the true qualities or peculiarities in the observer; particularly the difference, in an average of a large number of observation, between the instant when an observer notes a phenomenon, as the transit of a star, and the assumed instant of its actual occurrence; or, relatively, the difference between these instants as noted by two observers. It is usually only a fraction of a second; sometimes applied loosely to differences of judgment or method occasioned by temperamental qualities of individuals.
Theory of equations (Math.), the branch of algebra that treats of the properties of a single algebraic equation of any degree containing one unknown quantity.






Collaborative International Dictionary of English 0.48








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"Equation" Quotes from Famous Books



... has had its contributing influence in the people's depreciation of their own creative efforts. As people become inured to machine standards, they lose their sense of art values along with their joy in creative effort, their self regard as working men and their personal equation in industrial life. ...
— Creative Impulse in Industry - A Proposition for Educators • Helen Marot

... much used to noises not to be able to work an equation, and prepare her Virgil, to the sound of scales, and Mysie was a good deal restored by them ...
— The Two Sides of the Shield • Charlotte M. Yonge

... Helmholtz. Whatever he did and worked on was 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 ...
— Edison, His Life and Inventions • Frank Lewis Dyer and Thomas Commerford Martin

... metal or slag and moves an adjustable dial or gage so as to get an exact comparison between the color of the heat measured with the calor of a lamp or screen in the pyrometer itself. This, of course, requires practice, and judgment, and brings in the personal equation. With care, however, very reliable temperature measurements may be made. The temperatures of rails, as they leave the finishing pass of a rolling mill, are measured in ...
— The Working of Steel - Annealing, Heat Treating and Hardening of Carbon and Alloy Steel • Fred H. Colvin

... roofed cooling-shed for pre-chilling of air to be used by the refrigeration systems themselves. The fuel-store—stored power—was thereupon stretched to three times its former calculated usefulness. The situation was no longer a simple and neat equation of despair. ...
— Sand Doom • William Fitzgerald Jenkins

... 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 ...
— Rattlin the Reefer • Edward Howard

... and they will propound the most opposite opinions; nor will there be any objective test by which you can affirm that one opinion is more correct than another. The deliverances of the external sense are, or at least can be made, by correction of the personal equation, infallible and the same for all; those of the internal sense are different not only in different persons, but in the same person at ...
— The Meaning of Good—A Dialogue • G. Lowes Dickinson

... answered Leonard; "but as I am not an equation in algebra yearning to be worked out, I don't quite see the fun of it. But if you ask me what I think she will do, I should say that she will follow the example of everybody else and ...
— The People Of The Mist • H. Rider Haggard

... had no less than four kinds of 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

... interval. There are already well-known trigonometrical formulae for calculating all these elements, if all the observations are good; but at Upsala they do far more. Not only are the observations first controlled by forming an equation to express the condition that the two lines of sight from either end of the base should meet in a point, if the angles have been correctly measured and all bad sets rejected; but the mean errors ...
— Scientific American Supplement, No. 611, September 17, 1887 • Various

... that the 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 ...
— Modern Spiritualism • Uriah Smith

... community he might have followed it, and all have been well; but the world has to be dealt with as one finds it, and we must get sad answers to many a fair calculation if we 'state' it wrongly in the equation. That there is one law for the male and another for the female had not as yet vitally entered into his considerations. He was too dizzy with the dream, or he must have seen what an unequal bargain he ...
— The Book-Bills of Narcissus - An Account Rendered by Richard Le Gallienne • Le Gallienne, Richard

... said 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 ...
— All Around the Moon • Jules Verne

... lives possessed for the people of Mars, my companion spoke eloquently. It was, he said, like the fascination to a mathematician of a most elaborate and exquisite demonstration, a perfect algebraical equation, with the glowing realities of life in ...
— The Blindman's World - 1898 • Edward Bellamy

... as if indeed it was a curious thing. His coolness nearly convinced me. Surely he should have hesitated in actually demanding this last piece of evidence. I had heard, however, that the Bertillon system of measurements often depended on the personal equation of the measurer as well as on the measured. Was he relying on that, or ...
— The Poisoned Pen • Arthur B. Reeve

... reached 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 like him; I'll ...
— From Jest to Earnest • E. P. Roe

... 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

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

... 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

... verifying both in England and in Ireland. From this peculiar anomaly, affecting the domestic economy of English merchants, there arises a disturbance upon the usual scale for measuring the relations of rank. The equation, so to speak, between rank and the ordinary expressions of rank, which usually runs parallel to the graduations of expenditure, is here interrupted and confounded, so that one rank would be collected from the name ...
— Autobiographic Sketches • Thomas de Quincey

... coronoid process 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

... 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. You see how that is. She wants to be fair and ...
— Captivating Mary Carstairs • Henry Sydnor Harrison

... 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; the disturbance can be only on one side of the equation, namely, in your hat. ...
— Memorials and Other Papers • Thomas de Quincey

... have Arithmetical Puzzles, an immense class, full of diversity. These range from the puzzle that the algebraist finds to be nothing but a "simple equation," quite easy of direct solution, up to the profoundest problems in the elegant domain ...
— The Canterbury Puzzles - And Other Curious Problems • Henry Ernest Dudeney

... first 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 inside to the clearest ...
— Orthodoxy • G. K. Chesterton

... perceptible by the mind alone"; for that is right which is in 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

... this material development of leaving as unhampered as is compatible with the public good the strong and forceful men upon whom the success of business operations inevitably rests. The slightest study of business conditions will satisfy anyone capable of forming a judgment that the personal equation is the most important factor in a business operation; that the business ability of the man at the head of any business concern, big or little, is usually the factor which fixes the gulf between ...
— Complete State of the Union Addresses from 1790 to the Present • Various

... this evening may occasionally have heard it stated of me that I am rather apt to contradict myself. I hope I am exceedingly apt to do so. I never met with a question yet, of any importance, which did not need, for the right solution of it, at least one positive and one negative answer, like an equation of the second degree. Mostly, matters of any consequence are three-sided, or four-sided, or polygonal; and the trotting round a polygon is severe work for people any way stiff in their opinions. For myself, I am never satisfied that I have handled a subject properly till I have ...
— On the Old Road Vol. 1 (of 2) - A Collection of Miscellaneous Essays and Articles on Art and Literature • John Ruskin

... beans will make five white ones? Given the number, explain the process, and solve the equation. ...
— Punch, or the London Charivari, Volume 100, May 9, 1891 • Various

... striking 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 ...
— A Short History of Monks and Monasteries • Alfred Wesley Wishart

... to say, Go on, sir," retorted Mark, "but it isn't a Latin exercise, and it isn't an equation. I don't know how ...
— Dead Man's Land - Being the Voyage to Zimbambangwe of certain and uncertain • George Manville Fenn

... said that a man is a 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 ...
— Theodoric the Goth - Barbarian Champion of Civilisation • Thomas Hodgkin

... Hamlet did not reason much more deeply), nevertheless it shows an innate sense of exact balance and equal justice "An eye for an eye, a tooth for a tooth." Our sense of revenge is as exact as our mathematical faculty, and until both terms of the equation are satisfied we cannot get over the sense of ...
— Bushido, the Soul of Japan • Inazo Nitobe

... 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 dens provided for them, and then, hermetically sealed on storage, ...
— My Studio Neighbors • William Hamilton Gibson

... better ideas of living. He detected that the Kaffirs of South Africa were sharp to humour, owners of a lively sense of the ridiculous. On that hung an incident, which brought out the value of the personal equation in dealing with natives, whether in South Australia, New Zealand, or South Africa. It was an item of Sir George Grey's whole native policy. An old witch doctor, he mentioned, had been inciting unrest among the dark masses of Kaffraria. Sir George had him put comfortably in prison, where ...
— The Romance of a Pro-Consul - Being The Personal Life And Memoirs Of The Right Hon. Sir - George Grey, K.C.B. • James Milne

... this; her eyelids quivered, but she looked straight at him. It nerved her to be brought into his equation, even in the form which should finally be eliminated. ...
— The Path of a Star • Mrs. Everard Cotes (AKA Sara Jeannette Duncan)

... capacity increases directly, both with the capacity and with the resistance, and it is expressed by the product, K R. The whole retardance, and, therefore, the speed of working the circuit or the clearness of speech, is given, by the equation ...
— Scientific American Supplement No. 822 - Volume XXXII, Number 822. Issue Date October 3, 1891 • Various

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

... 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

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

... anxious that he should prosper, because they felt that they were sharing in that prosperity. Ninety per cent. of these men had a grievance against the canneries. And he had the good will of these men with sun-browned faces and hook-scarred hands. The human equation in industrial processes is a highly important one, as older, wiser men than Jack MacRae had ...
— Poor Man's Rock • Bertrand W. Sinclair

... equation of this curve, refer it to the co-ordinate axes a d (axis of X) and e f (axis of Y), intersecting at the ...
— Scientific American Supplement, No. 787, January 31, 1891 • Various

... brother in awe, as he looked on that thin, stern face. "Terry is your theory. If he disappoints you, he'll be simply a theory gone wrong. You'll cut him out of your life as if he were an algebraic equation and ...
— Black Jack • Max Brand

... began, with a sardonic laugh, "the stonemason will carve 'Passer-by, accord a tear, in memory of one that's here!' Oh," he continued, "I would cheerfully pay a hundred sous to any mathematician who would prove the existence of hell to me by an algebraical equation." ...
— The Magic Skin • Honore de Balzac

... reaction, we meet in every part of nature; in darkness and light; in heat and cold; in the ebb and flow of waters; in male and female; in the inspiration and expiration of plants and animals; in the equation of quantity and quality in the fluids of the animal body; in the systole and diastole[98] of the heart; in the undulations of fluids, and of sound; in the centrifugal and centripetal gravity; in electricity, galvanism, ...
— Essays • Ralph Waldo Emerson

... data on 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 ...
— Rip Foster in Ride the Gray Planet • Harold Leland Goodwin

... mechanical engineer 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 ...
— Radio Boys Loyalty - Bill Brown Listens In • Wayne Whipple

... 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 the Board of Control and the ...
— Deep Furrows • Hopkins Moorhouse

... broke the ordered labors of the week. Neel blinked twice at Costa before his equation-fogged brain assimilated an immediate and ...
— The K-Factor • Harry Harrison (AKA Henry Maxwell Dempsey)

... of his baggy trousers with a stick which one of the guards carried. The 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 an officer for laying ...
— My Year of the War • Frederick Palmer

... combined Huygens's theorems for the measure of centrifugal force with the law of gravitation, and thus formed a simple fundamental equation between the duration of the rotation of what he calls the producing star, and the distance of the star produced. The constants of this equation were the radius of the central star, and the intensity of gravity at its surface, which is a direct consequence of its mass. ...
— Vestiges of the Natural History of Creation • Robert Chambers

... ingredients which have come from the materials furnishing the acid. In the manufacture of vinegar, alcohol is always used as the source of the acetic acid. The production of acetic acid from alcohol is a simple oxidation. The equation C2H6O O2 C2H4O2 H2O shows the chemical change that occurs. This oxidation can be brought about by purely chemical means. While alcohol will not readily unite with oxygen under common conditions, if the alcohol is allowed to pass ...
— The Story Of Germ Life • H. W. Conn

... 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 the excentric. The line from the earth to the "excentric" ...
— History of Astronomy • George Forbes

... individual memories and imaginations through which it has been filtered, taking from each some trace of colour, some flavour of style or character, some improving or modifying touch. The 'personal equation' is, in the ballad, a quantity at once immense and unknown. As in Homer's Iliad, the voice we hear is not that of any individual poet, but of an age and of a people—a voice simple, almost monotonous, in its rhythmic rise and fall, but charged ...
— The Balladists - Famous Scots Series • John Geddie

... volume u may be determined by repeating the experiment when only air is in the cup. In this case v 0, and the equation becomes (u al)(h - k) uh, whence u al(h - k)/k. Substituting this value in the expression for v, the volume of the body inserted in the cup becomes known. The chief errors to which the stereometer is liable are (1) variation of temperature and atmospheric pressure during the experiment, ...
— Encyclopaedia Britannica, 11th Edition, Volume 8, Slice 2 - "Demijohn" to "Destructor" • Various

... many green coffee firms have come to realize that there is a good-will element that enters into the equation which can be fostered by the intelligent use of advertising space in the coffee roaster's trade journal. Also, a few importers are now featuring trade marks in their advertising, thus building up a tangible trade-mark asset in addition ...
— All About Coffee • William H. Ukers

... dreams; and the nature of brutes may be best understood by considering them as somnambulists. This is a deep meditation, though the position is capable of the strictest proof, namely, that there can be no I without a Thou, and that a Thou is only possible by an equation in which I is taken as equal to Thou, and yet not the same. And this, again, is only possible by putting them in opposition as correspondent opposites, or correlatives. In order to this, a something must be affirmed in the one which is rejected in ...
— Confessions of an Inquiring Spirit etc. • by Samuel Taylor Coleridge

... 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 ...
— The Glory of Ippling • Helen M. Urban

... 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)

... thirty-seven 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 ...
— In Troubadour-Land - A Ramble in Provence and Languedoc • S. Baring-Gould

... gunwale nearly.' And as for her future skipper, he says, 'I had plenty of work at navigation. It really is very puzzling at first; so much to remember—currents, compass, variation, sun's declination, equation of time, lee way, &c. But I think I have done my work pretty well up to now, and of course it is a great pleasure as well as a considerable advantage to be able to give out the true and magnetic course of the ship, and to be able from day to day ...
— Life of John Coleridge Patteson • Charlotte M. Yonge

... 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 can explain it ...
— Dwellers in the Hills • Melville Davisson Post

... ascensions and declinations, and 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 calculated eclipses of the moon, and used them for the correction of his lunar tables, and he had an approximate knowledge of parallax." ...
— Beacon Lights of History, Volume III • John Lord

... 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 ...
— The Religious Sentiment - Its Source and Aim: A Contribution to the Science and - Philosophy of Religion • Daniel G. Brinton

... 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 other words, of penetrating to the man's motives or his understanding ...
— The Function Of The Poet And Other Essays • James Russell Lowell

... fatigued senses. He wrapped himself in vibrations and rays which were new, and he would have hugged Marconi and Branly had he met them, as he hugged the dynamo; while he lost his arithmetic in trying to figure out the equation between the discoveries and the economies of force. The economies, like the discoveries, were absolute, supersensual, occult; incapable of expression in horse-power. What mathematical equivalent could he suggest ...
— The Education of Henry Adams • Henry Adams

... present as nitrate of lime, it was usually treated with a solution of potassium carbonate, the result being the precipitation of the lime as carbonate, pure saltpetre being left in solution, according to the following equation...
— Manures and the principles of manuring • Charles Morton Aikman

... the two students were diligently at work, Sarah in the role of preceptress, hearing Amanda's French verbs, or helping to discover the perplexing value of X in an algebraic equation. Only occasionally did ...
— Blue Bonnet's Ranch Party • C. E. Jacobs

... readily see that, in accordance with the Lorentz transformation, the law of the transmission of light in vacuo is satisfied both for the reference-body K and for the reference-body K1. A light-signal is sent along the positive x-axis, and this light-stimulus advances in accordance with the equation ...
— Relativity: The Special and General Theory • Albert Einstein

... longer be allowed to bluster 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

... of prey is a balanced equation. Each one, I think without a single exception, does some damage, chiefly in the destruction of valuable wild birds. The value of the poultry destroyed by hawks and owls is very small in comparison with their killing of wild prey. Many of the ...
— Our Vanishing Wild Life - Its Extermination and Preservation • William T. Hornaday

... convinced me that I was asleep and thus enabled me to awake. I gathered some pebbles and began to count them and lay them in heaps, and count them over again. There were no discrepancies between my counts; I was awake. Then I took out my pencil and memorandum-book to see whether I could solve an equation. But my hand was seized with trembling, and wrote without my assistance or guidance these words: "I, Copernicus, will comfort your friends. Be calm, be happy, you shall return and reap a peculiar glory. You, first of the inhabitants of Earth, ...
— The Atlantic Monthly, Volume 17, No. 102, April, 1866 • Various

... storing up of these showy ornaments for his wife and the wives of her descendants. They gleamed somewhat ironically now. "Yet why?" he asked himself. It was but a question of vanity throughout; and if that were admitted into one side of the equation it should be admitted into the other. His wife was a d'Urberville: whom could ...
— Tess of the d'Urbervilles - A Pure Woman • Thomas Hardy

... 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 man to be what the ...
— Through the Eye of the Needle - A Romance • W. D. Howells

... staying 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 ...
— The heart of happy hollow - A collection of stories • Paul Laurence Dunbar

... admixture of yellow 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 ...
— Five of Maxwell's Papers • James Clerk Maxwell

... time literary and distinctly his own. His personality was interesting and lovable, quickly responsive to a variety of human nature. No play of his was ever wholly worthless, because of that personal equation which lent youth and spontaneity to much of his dialogue. When he attained popular fame, he threw off his dramas—whether original or adapted from the French and German—with a rapidity and ease that did much to create a false impression as to his haste ...
— Representative Plays by American Dramatists: 1856-1911: The Moth and the Flame • Clyde Fitch

... 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 ...
— The Flying Legion • George Allan England

... 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

... 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, viz. the crossing point ...
— Pioneers of Science • Oliver Lodge

... claimed for the quantification of the predicate is that it reduces every affirmative proposition to an exact equation between its subject and predicate. As a consequence every proposition would admit of simple conversion, that is to say, of having the subject and predicate transposed without any further change in the proposition. The forms also of Reduction (a term which will be explained later on) ...
— Deductive Logic • St. George Stock

... that of the known, and by so doing it is setting a new standard of business 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

... of bragging to us boys about the golden splendors of his Sunday dissipation, and his grand acquaintances, even in class. He would even interrupt himself in the middle of an equation at ...
— The Martian • George Du Maurier

... to make up our minds as to what it was that, in a given case, the witness saw. We have not material for such a judgment. We have probably much evidence, up and down his writings, as to what sort of man the witness was, in what manner he would be likely to see anything and with what personal equation he would relate that which he saw. Baur would seem to have been the first vigorously and consistently to apply this principle to the gospel narratives. Before we can penetrate deeply into the meaning of an author we must know, if we may, his purpose in writing. Every author belongs to the ...
— Edward Caldwell Moore - Outline of the History of Christian Thought Since Kant • Edward Moore

... dissolved in some selected solvent; but in each case we may state the following considerations regarding the course of the reaction. For a transformation to take place from left to right in the sense of the reaction equation, all the molecules A1, A2, ... must clearly collide at one point; otherwise no reaction is possible, since we shall not consider side-reactions. Such a collision need not of course bring about that transposition ...
— Encyclopaedia Britannica, 11th Edition, Volume 6, Slice 1 - "Chtelet" to "Chicago" • Various

... 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 lowest terms—it's a ...
— Gaslight Sonatas • Fannie Hurst

... style, and utterance is the striking personality of the writer herself. It is not enough to read the writings of Miss Sanborn, though you cannot help doing this. She must be heard, if one would know the secret of her power—subtle, magnetic, impossible of transfer to books. The "personal equation" is everything—the strong, gifted woman putting her whole soul into the interpretation and transmission of her thought so that it may inspire the hearts of those who listen; the power of self-radiation. ...
— Memories and Anecdotes • Kate Sanborn

... balance swings this way and that, and neither scale will definitely settle down. It is very likely that the bias of temperament makes us incapable of decision. What is called the personal equation holds the two scales of our minds painfully equal, and while we meditate perpetual peace we suddenly hear the trumpet blowing. In many of us a primitive instinct survives which blinds and warps the reason, and calls us like a bugle to the silly and atrocious ...
— Essays in Rebellion • Henry W. Nevinson

... is an 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 ...
— The Armies of Labor - Volume 40 in The Chronicles Of America Series • Samuel P. Orth

... for fear of making things worse. But I neglected to tell you one very important item. The first scientist stricken is becoming rational again, or at least we hope so. Yesterday he asked for food. A short time later he picked up a pencil and paper and began to work out an equation, one connected with the project. Apparently the equation was the last thing he had been working on when the mind reader struck. So we hope and believe that nature is healing the damage. There is no evidence of tissue destruction, so perhaps complete recovery is possible. It's ...
— The Electronic Mind Reader • John Blaine

... not suspect that I was then setting myself a double task 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"

... 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 ...
— Analyzing Character • Katherine M. H. Blackford and Arthur Newcomb

... evenness, monotony, level. equivalence; equipollence^, equipoise, equilibrium, equiponderance^; 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 up ...
— Roget's Thesaurus of English Words and Phrases: Body • Roget

... 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

... 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 radicalism, tempered, ...
— Shapes that Haunt the Dusk • Various

... 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 from an a priori ...
— Atlantic Monthly, Volume 3, No. 19, May, 1859 • Various

... at the equation again. Somehow, the explanation was not very helpful. The value of K was unknown. He understood that much, all right but it didn't seem ...
— Out Like a Light • Gordon Randall Garrett

... man may explain 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

... 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 ...
— The Devil's Dictionary • Ambrose Bierce

... Street, but among the selected few were names to be conjured with, such as Andrew Carnegie and Henry C. Frick. Whether President McKinley's interest in Knox was spontaneous or prompted by Mr. Frick I do not know. Mr. Knox likes to believe that Mr. Frick did not enter into the equation. Mr. Knox declined, saying that he could not sacrifice his lucrative practice but that in four years he would accept the invitation if the President ...
— The Mirrors of Washington • Anonymous

... through all this wide range is in each creation passed through the mind of the artist and presented necessarily under all the conditions of his personality. His nature is a term in the process, and the question of imperfection or of error, known as the personal equation, arises. Individual differences of perceptive power in comprehending what is seen, and of narrative skill, or in the plastic and pictorial arts of manual dexterity, import this personal element into all artistic works, the more in proportion to the ...
— Heart of Man • George Edward Woodberry

... he said to himself, but I seem to remember something about a locus, which was a curve or a surface every point on which satisfied some particular equation of relation among the coordinates. It begins to look to me as though life might be a kind of locus, whose commanding equation we call God. The points on that locus cannot conceive of the equation, yet they are subject to it. They cannot conceive of that equation, because of course ...
— Where the Blue Begins • Christopher Morley

... long years of marriage have been in vain if they have not taught her to watch a man's moods and tenses; when to speak and when to be silent, and how to avoid useless discussion of subjects on which there is a pronounced difference of opinion. Leaving out the personal equation, the older and more experienced woman is better fitted to get along peaceably with a man than the young girl who has her wisdom yet ...
— Threads of Grey and Gold • Myrtle Reed

... was a crowded 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, even ...
— Eben Holden - A Tale of the North Country • Irving Bacheller

... 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

... researches in the domain of physics we often meet with the following problem: Being given any function whatever, y f(x), to find a curve whose equation ...
— Scientific American Supplement, No. 514, November 7, 1885 • Various

... dearly loves to have its own way. It has 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 extremely powerful ...
— Quiet Talks on Power • S.D. Gordon

... water and a little sulphuric acid, sapotin is decomposed and yields glucose and an insoluble matter which I call sapotiretin. One hundred parts of sapotin produce 51.58 parts of glucose and 49.67 of sapotiretin. The equation which ...
— Scientific American Supplement, No. 841, February 13, 1892 • Various

... school, though, there were no distinctions on this account. There were but two measurements of standing among girls and boys together, their relative importance in their classes, the teacher giving force to this, and among the boys alone the equation resulting from the issue of all personal encounter. Boys will be boys, and our fighting Anglo-Saxon blood ...
— A Man and a Woman • Stanley Waterloo

... friends or foes may be attended with the gravest consequences to all his material interests, and he is dealing with dangerous weapons whenever he interferes with arrangements pre-established by a power higher than his own. The equation of animal and vegetable life is too complicated a problem for human intelligence to solve, and we can never know how wide a circle of disturbance we produce in the harmonics of nature when we throw the smallest pebble into the ocean of organic being. This much, however, the facts ...
— The Earth as Modified by Human Action • George P. Marsh

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

... to us. I say that the immediate antecedent of, and the phenomenon most 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 and the ...
— The Note-Books of Samuel Butler • Samuel Butler

... clear to Tabs that behind all that Sir Tobias had been saying lay his misery over Maisie and Adair. He saw the world always in the personal equation. ...
— The Kingdom Round the Corner - A Novel • Coningsby Dawson

... "inland soul" feels on its "first league out from land." Though she "never spoke with God, nor visited in heaven," she is "as certain of the spot as if the chart were given." "In heaven somehow, it will be even, some new equation given." "Christ will explain each separate anguish in the fair ...
— The Land of Contrasts - A Briton's View of His American Kin • James Fullarton Muirhead

... Dorsett. "Quite right too. But here I produce the personal equation. For five weary weeks I've skittered about this city, carrying around with me half a dozen of the ripest, richest franchise propositions ever matured. Bona-fide prospects, mind you, communities ...
— Torchy, Private Sec. • Sewell Ford

... 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

... monopoly on the condition," smiled Ashton-Kirk. "It comes to all of us, and in just the way you've described." His singular eyes were studying the big man's face, and in their depths was a sort of calm expectancy. "The personal equation has many queer results. But what is the ...
— Ashton-Kirk, Criminologist • John T. McIntyre

... extracted from Mr. O'Connell's most elaborate letter, his distinctly expressed preference for Federalism, and the single reason upon which the preference is founded. The remainder consists for the most part of a sort of logical equation, balancing the component elements of both plans, from which ...
— The Felon's Track • Michael Doheny

... too sure, but 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 not understand ...
— The Einstein See-Saw • Miles John Breuer

... differ. Dr. Neale's enthusiasm carried him so far that he was persuaded and sought to persuade others of the existence of liturgical quotations in the writings of St. Paul. This hypothesis is at the present time generally rejected by sober-minded scholars. Perhaps "the personal equation" enters equally into the conclusions of those who assign a very late origin to the liturgies, pushing them along as far as the sixth or seventh century. If one happens to have a rooted dislike for prescribed forms of worship, and believes ...
— A Short History of the Book of Common Prayer • William Reed Huntington

... that a comrade before him 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 ...
— The Poet's Poet • Elizabeth Atkins

... of energy; and so we should have energy, plus intelligence, in the case of life; and only energy for all other forms. But in that case life could not simply be converted into or derived from any other mode of energy; because we should have "intelligence" left over, in our equation—which was created de novo whenever life was derived from other energies, and plunged into extinction and nothingness whenever life passed into any other mode of energy—in the course of our daily lives. But this is contrary both ...
— The Problems of Psychical Research - Experiments and Theories in the Realm of the Supernormal • Hereward Carrington

... in the eyes as he said this. He fully believed in the possibility of human flight, given the transcendent genius who could work out the equation of weight and power. Perhaps that genius might be with him now in the bridge-house. His vivid imagination was already picturing the lovely girl at his side crowned Empress of the Russias and the East, and himself in command of an aerial navy, beneath whose ...
— The Mummy and Miss Nitocris - A Phantasy of the Fourth Dimension • George Griffith

... romance development, handled the theme on distinctively religious lines, preserving the Mystery element in its three-fold development, and equating the Vessel of the Mystic Feast with the Christian Eucharist. From what we now know of the material it seems certain that the equation was already established, and that Borron was simply stating in terms of romance what was already known to him in terms of Mystery. In face of the evidence above set forth there can no longer be any doubt that the Mystic Feast of the Nature cults really had, and that at ...
— From Ritual to Romance • Jessie L. Weston

... proposal, requesting that 50 places might be exceeded: I obtained answers of 75, 65, 63, 58, 57, and 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 ...
— A Budget of Paradoxes, Volume II (of II) • Augustus de Morgan

... Cheswick's mind. First he impressed, indelibly, six symbols and their meanings. Second, a long and intricate equation; ...
— The Galaxy Primes • Edward Elmer Smith

... of evolutions, at the end of which, their result—an act of violence, a paroxysm of tears, a gradual subsidence into repose, or whatever it may be—declares itself, like the last stage of an attack of fever and ague. No one can observe children without noticing that there is a personal equation, to use the astronomer's language, in their tempers, so that one sulks an hour over an offence which makes another a fury for five minutes, and leaves him or her an ...
— The Autocrat of the Breakfast-Table • Oliver Wendell Holmes, Sr. (The Physician and Poet not the Jurist)

... own. So many men to-day are led astray by the merely superficial graces and attractions of girls who in reality possess no mental equipment at all. Many a man is bitterly disillusioned after marriage when he realises that his wife cannot solve a quadratic equation, and that he is compelled to spend all his days with a woman who does not know that X squared plus 2XY plus Y squared is the same thing, or, I think nearly the same thing, as X plus ...
— Literary Lapses • Stephen Leacock

... calcium, uniting together to form that particular compound of hydrogen and carbon, or hydrocarbon, which is known as acetylene, whose formula is C2H2; while the residual calcium and oxygen join together to produce calcium oxide or lime, CaO. Put into the usual form of an equation, ...
— Acetylene, The Principles Of Its Generation And Use • F. H. Leeds and W. J. Atkinson Butterfield

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

... dependence on miracles, and will never cease to implore the special interposition of the Deity. It is so much simpler thus to make a daily convenience of his Creator than to consult those dry abstractions, the laws of Nature. Of this deep and tiresome x and y he has not time to solve the equation, granting it to be, in its ultimate terms, soluble. Who shall say in each instance whether the impulse to decline that method and adopt the shorter be ...
— Lippincott's Magazine of Popular Literature and Science, Volume 22. October, 1878. • Various

... 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 ...
— Encyclopaedia Britannica, 11th Edition, Volume 4, Part 4 - "Bulgaria" to "Calgary" • Various

... borne out by the corresponding 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 ...
— Kinship Organisations and Group Marriage in Australia • Northcote W. Thomas

... don't mind. I can sing 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 most ...
— The Heart of Una Sackville • Mrs. George de Horne Vaizey

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

... said stridently, "I wish to know the equation! Tell me the method of pointing a body in a fourth or a fifth direction. It is ...
— Astounding Stories of Super-Science January 1931 • Various

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

... 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 ...
— Tales and Novels, Vol. IV • Maria Edgeworth

... ourselves just what reactions, if any, are going on in there. I wonder, Brenton," the doctor faced him steadily; "if ever it has occurred to you that, in the last analysis, pure science is often baffled by the personal equation which comes into it, which defies all analysis, and which upsets the whole of our calculations. If it were not for the fact that Reed's ego is his own property, not ours, we could have settled this point about his future, months on months ago. Beyond ...
— The Brentons • Anna Chapin Ray

... 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 ...
— Christianity and Greek Philosophy • Benjamin Franklin Cocker

... between the conditioned forms of being and the unconditioned form of being forever inscrutable. The interpretation of all phenomena in terms of Matter, Motion, and Force is nothing more than the reduction of our complex symbols of thought to the simplest symbols; and when the equation has been brought to its lowest terms, the symbols remain symbols still. Hence the reasonings contained in "First Principles" afford no support to either of the antagonist hypotheses respecting the ultimate nature of things. Their implications are no more materialistic than they ...
— Beacon Lights of History, Volume XIV • John Lord

... 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

... 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 and with thought. ...
— Library Work with Children • Alice I. Hazeltine

... 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 ...
— Roget's Thesaurus • Peter Mark Roget

... the opposite verge of what was called European civilization, the perpetual war between the Roman Empire and the Grand Turk had for the moment been brought into a nearly similar equation. Notwithstanding the vast amount of gunpowder exploded during so many wearisome years, the problem of the Crescent and the Cross was not much nearer a solution in the East than was that of mass and conventicle in the West. War was the normal and natural condition of mankind. ...
— The Rise of the Dutch Republic, 1555-1566 • John Lothrop Motley

... way in decent self-respect. Also he assured himself that the personal equation as between two lovers of one and the same woman was entirely eliminated. But who can tell which motive it was that prompted him to turn aside before he came to the army of toilers at the slide: to turn and cross the stream and make as wide a detour as the nature ...
— A Fool For Love • Francis Lynde

... 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, ...
— The Golden Snare • James Oliver Curwood

... 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 say nothing of the nth dimension, ...
— Blue Goose • Frank Lewis Nason

... strange servants. I can find pleasure in a motor-car, but I hate even the risk of accidents. I have no objection to an income, but I hate investments. And so on. All I ask is to live simply and sensibly, but instead of that my existence is transformed into a quadratic equation. And I can't stop it. My happiness is not increasing—it's decreasing. I spend more and more time in wondering whither I am going, what I am after, and where precisely is the point of being alive at all. That's a fact, and now ...
— Mr. Prohack • E. Arnold Bennett

... anticipation of Poker Flat. The stage-driver proved himself really right, though you are not to suppose from this that Jimville had no conventions and no caste. They work out these things in the personal equation largely. Almost every latitude of behavior is allowed a good fellow, one no liar, a free spender, and a backer of his friends' quarrels. You are respected in as much ground as you can shoot over, in as many pretensions as you ...
— The Land of Little Rain • Mary Austin

... 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 ...
— Autobiography of a YOGI • Paramhansa Yogananda

... best in expressing our lives. A rotting log is truth to a bed of 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

... 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. Depress your animal and it ceases to ...
— Little Journeys To The Homes Of Great Teachers • Elbert Hubbard

... Compare Boisguillebert, Traite des Grains, II, ch. 2. John Stuart Mill speaks of an equation: the price of a commodity in a given market is always high enough to produce a demand corresponding to the present supply, or to an expected supply. The price of such commodities only which may not be increased to any desirable extent depends on ...
— Principles Of Political Economy • William Roscher

... This method of getting reaction times has been in use for a number of years, especially by the astronomers who need to know, in making their observations, how much time is taken by the observer in recording a transit or other observation. It is part of the astronomer's "personal equation." ...
— The Story of the Mind • James Mark Baldwin

... could list all the traits, each representing some one characteristic of human nature, and measure the amount of each of them possessed by a man, we could represent his nature—read his character—in a great equation. John Smith would equal so many units of this, plus so many units of that, and so on. Such a mental inventory would express his individuality conceivably in its entirety and with great exactitude. No such list has been made for ...
— Introduction to the Science of Sociology • Robert E. Park

... The work he has published, under the title of Mecanique Celeste, contains the most astonishing discoveries of physical theory, the great inequality of Jupiter and Saturn, the acceleration of the Moon, the equation of the third Satellite of Jupiter, and the flux and reflux ...
— Paris As It Was and As It Is • Francis W. Blagdon

... balanced this equation; she was greatly delighted, and if she had not, perhaps, perfectly appreciated the first offering, more than atoned by her ...
— Margarita's Soul - The Romantic Recollections of a Man of Fifty • Ingraham Lovell

... that somehow it was different now—the personal element had entered unwelcomed, into the equation. Sitting there in the dark, Gonzales' body crumpled on the floor at his feet, and Moylan lying stiff and cold along the back seat, with this girl grasping his sleeve in trust, she remained no longer merely the Major's daughter—she had become ...
— Molly McDonald - A Tale of the Old Frontier • Randall Parrish

... 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 ...
— Psychology and Industrial Efficiency • Hugo Muensterberg

... ordinary 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. ...
— David Poindexter's Disappearance and Other Tales • Julian Hawthorne

... 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 ...
— Man Made • Albert R. Teichner



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