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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



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

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

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

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

... will know 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 Poet's Poet • Elizabeth Atkins

... L/R while that due to 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

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

... founder of 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 ...
— History of Astronomy • George Forbes

... 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

... 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 ...
— Representative Plays by American Dramatists: 1856-1911: The Moth and the Flame • Clyde Fitch

... 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 striking success ...
— Complete State of the Union Addresses from 1790 to the Present • Various

... eternity" brings a "divine intoxication" such as the "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 schoolroom of ...
— The Land of Contrasts - A Briton's View of His American Kin • James Fullarton Muirhead

... is the object of the "equation of taxes"? Answer—To protect property from excessive taxation by those owning no property, and ...
— School History of North Carolina • John W. Moore

... 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

... that you are thinking that I have forgotten the personal equation, that I am arguing as if all people were of the same temperament, forgetting that under given conditions one person would be happy and another would not, and that you, with your varied interests ...
— A Jolly by Josh • "Josh"

... be in great part lost, if there were to be seen in this lapse only the personal element of the delinquents, and not the widespread decline of professional tone. Undoubtedly, of course, it is true that the personal equation, as always, made itself felt, but here as intensifying an evil which had its ...
— Types of Naval Officers - Drawn from the History of the British Navy • A. T. Mahan

... part is what Barbicane has done; that is, to get an equation which shall satisfy all the conditions of the problem. The remainder is only a question of arithmetic, requiring merely the knowledge of the ...
— Jules Verne's Classic Books • Jules Verne

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

... 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 ...
— Inquiries and Opinions • Brander Matthews

... 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, ...
— Literary Lapses • Stephen Leacock

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

... tremendous fatigues and trials of his campaigns, and of the opposition he encountered from selfish and shortsighted politicians in Congress—these qualities were almost sufficient to account for Washington. Almost, but perhaps not quite; there must have been in addition an inestimable personal equation which fused all into a harmonious individuality that isolates him in our regard: a wholeness, which can be felt, but which is hardly to be ...
— The History of the United States from 1492 to 1910, Volume 1 • Julian Hawthorne

... 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 ...
— How to Listen to Music, 7th ed. - Hints and Suggestions to Untaught Lovers of the Art • Henry Edward Krehbiel

... 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 ...
— David Lannarck, Midget - An Adventure Story • George S. Harney

... a perfect dunce over figures, father; I hope you 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 Heart of Una Sackville • Mrs. George de Horne Vaizey

... are disposed to regard the outward behavior of an adult as an equation between a number of variables, such as the resistance of the environment, repressed cravings of several maturities, and the manifest personality. [Footnote: Formulated by Kempf, Psychopathology, ...
— Public Opinion • Walter Lippmann

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

... 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 ...
— Fifty Years of Railway Life in England, Scotland and Ireland • Joseph Tatlow

... taking out his memo-book. "I'll make a note of it. This, you will understand, is a more or less scientific inquiry, and I shall make my estimates as carefully as possible, with all due regard to the human equation. Who, should you say, has the ...
— Best Short Stories • Various

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

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

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

... 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, ...
— The Idea of a University Defined and Illustrated: In Nine - Discourses Delivered to the Catholics of Dublin • John Henry Newman

... there was throb and glow in each pulsating touch of unseen instruments. Gard found his heart tightening, his nostrils expanding. A flash of the divine fire of youth leaped through his veins. Adventure suddenly beckoned him—the lure of the unknown, of the magic x of algebra in human equation. So great was his enjoyment that he savored it as one savors a dainty morsel, lingering over it, fearful that the next taste ...
— Out of the Ashes • Ethel Watts Mumford

... productions by proxy, of being conversant with what every 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 should have an opinion. Great productions ...
— A Hero and Some Other Folks • William A. Quayle

... equiponderance[obs3]; 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 ...
— Roget's Thesaurus

... 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 ...
— Deductive Logic • St. George Stock

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

... men begin a tunnel, working toward each other from different sides of a mountain, dreams, poetry, hypothesis and guesswork had better be omitted from the equation. Here is a case where metaphysics has no bearing. It is a condition that confronts ...
— Little Journeys to the Homes of the Great - Volume 12 - Little Journeys to the Homes of Great Scientists • Elbert Hubbard

... the feet of a short swarthy Sicilian, who, with his hat drawn over his eyes, hunched defiantly in the corner. As Anthony stopped beside him he stared up with a scowl, evidently intended to be intimidating; he must have adopted it as a defense against this entire gigantic equation. At Anthony's sharp "That seat taken?" he very slowly lifted the feet as though they were a breakable package, and placed them with some care upon the floor. His eyes remained on Anthony, who meanwhile sat down and unbuttoned ...
— The Beautiful and Damned • F. Scott Fitzgerald

... mali quod est culpa. There is a certain quantity of wrong done over the face of the world; therefore the great Judge exacts a proportionate quantity of punishment. The total amount of evil suffered makes nice equation with the total amount of evil done; the extent of human suffering tallies precisely with the extent of human guilt. Of course you must take original sin into account, 'which explains all, and without which you can explain nothing.' 'In virtue of this primitive degradation we are subject ...
— Critical Miscellanies (Vol. 2 of 3) - Essay 4: Joseph de Maistre • John Morley

... confusing talk of the value of nitrogens, proteids and—when I had reached the ultra-modernists—vitamines. Vitamines, I gathered, had only recently been discovered, yet by the progressives they were held to be of the supremest importance in the equation of properly balanced human sustenance. To my knowledge I had never consciously eaten vitamines unless a vitamine was what gave guaranteed strictly fresh string beans, as served at a table-d'hote restaurant, that peculiar flavor. Here all along I had figured it was the tinny taste ...
— One Third Off • Irvin S. Cobb

... referred to,—and belonging to the positive and initiative, rather than the negative and subjective side of the psychical equation,—these seers have been fewer in number, and are always individuals showing a high degree of self-control, and ...
— The New Avatar and The Destiny of the Soul - The Findings of Natural Science Reduced to Practical Studies - in Psychology • Jirah D. Buck

... have helped matters considerably. For Rydal and Blake would not hesitate at shooting. For them it must be either capture or kill—death for him, anyway, for he was the one factor not wanted in the equation. He summed up their chances and their danger calmly and pointedly, as he always looked at troubling things. And Dolores felt her heart sinking within her. After all, she had not handled the situation any too well. She ...
— Back to God's Country and Other Stories • James Oliver Curwood

... 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

... remembered that the value of solution No. 3 is now to be calculated on the basis of the equation KMnO{2} NO KNO{3} MnO{2}. One molecule of permanganate equals one molecule of nitric oxide when manganous sulphate is used, since no part of the permanganate employed in this method is reduced below the superoxide condition. In other words, ...
— Scientific American Supplement, No. 561, October 2, 1886 • Various

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

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

... before. Not being inclined to sentiment by nature, he had regarded Kit so far solely from the experimental standpoint. Since she had turned out to be a girl, he had decided to make the best of it, and at least try the effect of the course of instruction upon her. The personal equation had never entered into his calculation, and yet here was Kit forcing it upon him, quite as plainly as though ...
— Kit of Greenacre Farm • Izola Forrester

... quote ironically Hegel's famous equation of the real with the rational to his english disciple, who ends his chapter with the ...
— The Meaning of Truth • William James

... be his 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 of the truth, and his sunny calm ...
— Charles Carleton Coffin - War Correspondent, Traveller, Author, and Statesman • William Elliot Griffis

... drawings." After remarking on the value of photographs of the Corona up to a certain point because of their automatic accuracy Mrs. Todd very sensibly says, "but pencil drawings, while ordinarily less trustworthy because involving the uncertain element of personal equation are more valuable in delineating the finest and faintest detail of which the sensitive plate rarely takes note; the vast array of both, however, shows marked differences in the structure and form of the Corona from one eclipse to another though it has not yet ...
— The Story of Eclipses • George Chambers

... our economy is a highly complex and sensitive mechanism. Hasty and ill-considered action of any kind could seriously upset the subtle equation that encompasses debts, obligations, expenditures, defense demands, deficits, taxes, and the general economic health of the Nation. Our goals can be clear, our start toward them can be ...
— State of the Union Addresses of Dwight D. Eisenhower • Dwight D. Eisenhower

... is, that in some way or other gravity is the result of ubiquitous energy. And this, it seems to me, we must assert, or else conclude that gravity can never admit of a physical explanation. For all that we mean by a physical explanation is the proved establishment of an equation between two quantities of energy; so that if energy of position does not admit of being interpreted in terms of energy of motion, we must conclude that it does not admit of being interpreted at all—at least not in any ...
— A Candid Examination of Theism • George John Romanes

... 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 ...
— Captivating Mary Carstairs • Henry Sydnor Harrison

... warfare proved several things upon which mankind had long been in doubt. One of these was that, with all the expert mechanism that science and invention had supplied, the personal equation of the man could not be eliminated. Aviation increased the human element in warfare. To shoot straight requires calm nerves, but to fly straight requires ...
— In the Clutch of the War-God • Milo Hastings

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

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

... 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, the ...
— Acetylene, The Principles Of Its Generation And Use • F. H. Leeds and W. J. Atkinson Butterfield

... non-occurrence is a thing impossible to prophesy or calculate. They open without warning immediately ahead of the traveler, following no apparent rule or law of action. They are the unknown quantity of the polar equation. ...
— The North Pole - Its Discovery in 1909 under the auspices of the Peary Arctic Club • Robert E. Peary

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

... 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 ...
— Edward Caldwell Moore - Outline of the History of Christian Thought Since Kant • Edward Moore

... 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

... fought, had failed in the supreme hour of trial. It had failed, not because the sailors of Britain had done their duty less valiantly than they had done in the days of Rodney and Nelson, but simply because the conditions of naval warfare had been entirely changed, because the personal equation had been almost eliminated from the problem of battle, and because the new warfare of the seas had been waged rather ...
— The Angel of the Revolution - A Tale of the Coming Terror • George Griffith

... bliss of serious calculation Shall mock the trivial joys that fancy drew, And, oh, the rapture of a solved equation,— One self-same answer on the ...
— The Poetical Works of Oliver Wendell Holmes, Complete • Oliver Wendell Holmes, Sr.

... 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

... 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 complicate ...
— The Hollow Needle • Maurice Leblanc

... groaning over an algebraic equation. In his pale, pimpled face were traces of incapability and bad humour. Markus, owing to his physical defect, was not allowed to study by artificial light. He helped his mother shell the peas, and in order to make her angry ...
— The Goose Man • Jacob Wassermann

... 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 ...
— The Meaning of Good—A Dialogue • G. Lowes Dickinson

... speak of them not as similar but 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 ...
— The Parables of Our Lord • William Arnot

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

... 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 the thoughts ...
— Blue Bonnet's Ranch Party • C. E. Jacobs

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

... of 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 their problem. ...
— The Ramblin' Kid • Earl Wayland Bowman

... 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 ...
— The Psychology of Nations - A Contribution to the Philosophy of History • G.E. Partridge

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

... at this point that the dim beginnings of philosophy began to invade her mind. The thing resolved itself almost into an equation. If father had not had indigestion he would not have bullied her. But, if father had not made a fortune he would not have had indigestion. Therefore, if father had not made a fortune he would not have bullied her. Practically, in fact, if father did not bully her he would not be rich. And ...
— Something New • Pelham Grenville Wodehouse

... 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

... moment: that is to say, the seven-millionth or trillionth of its collective evidence. It is very clear, therefore, we cannot hope to get rid of the contradictory opinions, and keep the consistent ones, by a general equation. But, it has been said, these are no contradictory opinions; the Church is infallible. There was some talk about the infallibility of the Church, if I recollect right, in that letter of Mr. Bennett's to the Bishop of London. If any Church is infallible, it is assuredly the Invisible ...
— On the Old Road, Vol. 2 (of 2) - A Collection of Miscellaneous Essays and Articles on Art and Literature • John Ruskin

... relief of glaucoma, by which a filtering scar is produced which 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 operations eventually will ...
— Glaucoma - A Symposium Presented at a Meeting of the Chicago - Ophthalmological Society, November 17, 1913 • Various

... how the same Law is likely to work under as yet unknown conditions. If we had to deal with unknown laws as well as unknown conditions we should, indeed, be up a gum tree. Fancy a mathematician having to solve an equation, both sides of which were entirely made up of unknown quantities—where would he be? Happily this is not the case. The Law is ONE throughout, and the apparent variety of its working results from the infinite variety of the conditions under ...
— The Law and the Word • Thomas Troward

... and the nutritional effects of internment is worth careful attention. "A diet that would be tolerated if the subject were at liberty may become intolerable under conditions of imprisonment. There is a large personal equation operative in this direction. The soldier imbued with a high sense of his value to his country and of the justice of his cause will endure a monotonous diet that would not be endurable in the prisoner overwhelmed with disappointment ...
— The Better Germany in War Time - Being some Facts towards Fellowship • Harold Picton

... pleasure to-night, it will be seen, in sundry occult ways, it amused him to feel how everything else the master of the house consisted of, resources, possessions, facilities and amiabilities amplified by the social legend, depended, for conveying the effect of quantity, on no personal "equation," no mere measurable medium. Quantity was in the air for these good people, and Mr. Verver's estimable quality was almost wholly in that pervasion. He was meagre and modest and clearbrowed, and his eyes, if they wandered without fear, yet stayed without defiance; his shoulders ...
— The Golden Bowl • Henry James

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

... absolutely indeterminate. The results thus far reached run: Substantia una infinita—Deus sive natura—causa sui (aeterna) et rerum (immanens)—libera necessitas—non determinata. Or more briefly: Substance God nature. The equation of God and substance had been announced by Descartes, but not adhered to, while Bruno had approached the equation of God and nature—Spinoza decisively ...
— History Of Modern Philosophy - From Nicolas of Cusa to the Present Time • Richard Falckenberg

... 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

... 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 Canada could outweigh all these things ...
— Benjamin Franklin • John Torrey Morse, Jr.

... 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

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

... sense of humor into an 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 can ...
— The Land of Little Rain • Mary Austin

... practical value, because they cannot be read by the uninstructed eye? A single line may contain the elements of the motions of all the heavenly bodies; and the eye of science, taking its stand-point at the center of gravity of the system, will see in the equation the harmonious revolutions of all the bodies which circle the heavens. It is such labors and such generalizations that have rendered his name illustrious in the history of mathematical science. Is it of no practical value that the Chief of the Coast Survey (Prof. Bache), ...
— The Uses of Astronomy - An Oration Delivered at Albany on the 28th of July, 1856 • Edward Everett

... see, I not only know the business from beginning to end, but I want to show our salesmen that selling goods means something more than rattling off a list of what you've got, dilating like a parrot. I want to teach them the value of knowledge of the personal equation and how to apply that knowledge effectively. Does n't that telegram from Jackson show that I know ...
— Skinner's Dress Suit • Henry Irving Dodge

... 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 categories ...
— The German Classics of The Nineteenth and Twentieth Centuries, Vol. VII. • Various

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

... egg-shell; "and, apparently, you live contented. Yet, be apprised by me, you live in the manner of the beasts that perish. For the whole excuse, warrant, purpose, and business of life, you treat as alien to your equation." ...
— The Lady Paramount • Henry Harland

... market-place, let the genius rage as he will. He must be tamed. He must be softened; his divine fire shaded by the friendly screens of more prudent, more conventional talent. Even among men of genius up on the heights it is the personality of each that enters largely into the equation of their work. No one can confuse Whistler the etcher with the etcher Rembrandt; the profounder is the Dutchman. Yet what individuality there is in the plates of the American! What personality! Now, Felicien Rops, the Belgian etcher, ...
— Promenades of an Impressionist • James Huneker

... hour later, the conspirators dispersed. They had fixed the hour of the proposed revolution, the course to be pursued, the results to be obtained; but in stating their equation they had overlooked one factor,—God, or Fate, or whatever one may choose to call the Power that holds the destinies of man in ...
— The Marrow of Tradition • Charles W. Chesnutt

... simple and childish (though we know 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 something ...
— Bushido, the Soul of Japan • Inazo Nitobe

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

... says Delambre, "the position of the stars by right 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." His determination ...
— Beacon Lights of History, Volume III • John Lord

... to her peace of mind; if, in few words, those three had been puppets made of wood and worked by law, it would have been so much simpler for all concerned. It was the discovery that there was a personal equation in such matters, instead of just a simple rule of three, which disorganized the Colonel and made him almost angry; which depressed Mrs. Ercott and made her almost silent. . . . These two good souls had stumbled on a problem which has divided the world from birth. ...
— Forsyte Saga • John Galsworthy

... hieroglyphics and the ancient Asiatic: some of them may be found again in ancient Egyptian, 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

... 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 ...
— Simon Magus • George Robert Stow Mead

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

... to me a geometrical question, which I answered in such a way as to diminish his prejudices. From this he passed on to a question in algebra, then the resolution of a numerical equation. I had the work of Lagrange at my fingers' ends; I analyzed all the known methods, pointing out their advantages and effects; Newton's method, the method of recurring series, the method of depression, the method of continued fractions,—all ...
— Biographies of Distinguished Scientific Men • Francois Arago

... still as marble, except to moisten his lips which were becoming very dry. He had been willing enough to accept Brent's plan of refuge, before a blood equation developed, but now things were different. His honour, as a man of the mountains knows and sustains his honour, would permit him but ...
— Sunlight Patch • Credo Fitch Harris

... can not predicate of 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

... multitudes. Picturesque distress excited his emotions keenly, and sometimes formed ineffaceable memories, but memories oddly impersonal, little more than appreciations of sorrow as a factor in that mystic equation to the solving of which he ...
— The Orchard of Tears • Sax Rohmer

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

... mixture, or be 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 of the atoms of the single molecules which constitutes the above ...
— Encyclopaedia Britannica, 11th Edition, Volume 6, Slice 1 - "Chtelet" to "Chicago" • Various

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

... had to carry propitiatory offerings of vegetables and chickens. And then his persecution of my friend the Professor still rankled in me. Yet I found myself, of necessity, using him as the one known quantity in the equation over which I worked. He became my model. I fancied myself attaining a mien like his, a deep, resonant voice and a vocabulary of marvellous words. I dressed myself in material garments like his, in spreading folds of awe-inspiring ...
— David Malcolm • Nelson Lloyd

... 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 everything and anything. And yet the whole basis of the pilgrimage was insecure. There ...
— Beside Still Waters • Arthur Christopher Benson

... Tappken looked at me inquiringly, but I hesitated. It was not on account of monetary causes, but for peculiarly private reasons—the dilemma of one of our house becoming a spy. The Captain, unaware of the personal equation that was obsessing me before giving my word, evidently thought that his financial inducements were not ...
— The Secrets of the German War Office • Dr. Armgaard Karl Graves

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

... more 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 enough with which to condemn Henry VIII., ...
— A Short History of Monks and Monasteries • Alfred Wesley Wishart

... gleaming, where the waiting sphinxes, Humoring his dreaming, give him what he thinks is Key to the arcana—plausible equation Of the problems ...
— The New Penelope and Other Stories and Poems • Frances Fuller Victor

... 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

... 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 ...
— Memorials and Other Papers • Thomas de Quincey

... time of Hipparchus and Ptolemy. Tycho had 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 ...
— The Great Events by Famous Historians, Volume 12 • Editor-In-Chief Rossiter Johnson

... 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 ...
— The Physiology of Marriage, Part II. • Honore de Balzac

... of railway companies, decoded messages from London or from Paris, transcribed formulae as abstract, as remote from tangible things as the x and y of algebraic equations. These men all worked—the apologue of the quadratic equation held my mind—moving their symbols here and there, extracting roots, dissolving close-knit phrases into factors, cancelling, simplifying, but always dealing with symbols meaningless, unreal in themselves. Behind them was Ascher, Ascher and I suppose Stutz, who expressed realities in formulae, ...
— Gossamer - 1915 • George A. Birmingham

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

... 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 where it was. The explanation would still ...
— Browning as a Philosophical and Religious Teacher • Henry Jones

... 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 assault the armies and navies and ...
— The Mummy and Miss Nitocris - A Phantasy of the Fourth Dimension • George Griffith

... themselves may be further referred to certain universal interests. In this character the individual becomes one of the known or assumed terms of sociology. The individual as a center of active interests may be thought both as the lowest term in the social equation and as a composite term whose factors must be understood. These factors are either the more evident desires, or the more remote interests which the individual's desires in some way represent. At the same time, we must repeat the admission that these assumed ...
— Introduction to the Science of Sociology • Robert E. Park

... higher region of facts which belongs to the historian, whose task it is to interpret as well as to transcribe, Mr. Motley showed, of course, the political and religious school in which he had been brought up. Every man has a right to his "personal equation" of prejudice, and Mr. Motley, whose ardent temperament gave life to his writings, betrayed his sympathies in the disputes of which he told the story, in a way to insure sharp criticism from those of a different way of thinking. Thus ...
— Memoir of John Lothrop Motley, Complete • Oliver Wendell Holmes, Sr.

... "Hm-m-m," and stared 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

... is the God that is everywhere and everything, releasing himself in matter. Perhaps for our eyes and ears and fingers, the immanent God had an equation, whose answer is locked in our souls that are also a part of God—created in his image. And when in curve or line, in sequence of notes or harmony, or in thrilling touch sense, the equation is stated in terms of ...
— In the Heart of a Fool • William Allen White

... shall I plant? An easy question to ask—a difficult one to answer; for, though the one attempting a reply may know something of varieties, their size, quality and prolificness, there is always an unknown personal equation entering into ...
— The Pecan and its Culture • H. Harold Hume

... life in New York, Champney Googe, like many another man, failed to take into account the "minus quantities" in his personal equation. These he possessed in common with other men because he, too, was human: passions in common, ambitions in common, weaknesses in common, and last, but not least, the pursuance of a common end—the ...
— Flamsted quarries • Mary E. Waller

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

... already realise, that this modern reconstruction is in distinct contradiction to many of Varro's favourite theories. It is an accomplishment of which History may well be modestly proud, that modern scholars have been able to eliminate, to a large degree, the personal equation and the myopic effects of his own time from the statements of the greatest scholar of Roman antiquity, and thus though handicapped by the possession of merely a small percentage of the facts which Varro knew, to arrive at a concept of the whole matter infinitely more correct ...
— The Religion of Numa - And Other Essays on the Religion of Ancient Rome • Jesse Benedict Carter

... 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 ...
— Blue Goose • Frank Lewis Nason

... in principle, be that of complete neutrality. Expressed in terms of ionic reactions, it should be the point at which the H^{} ions from an acid[Note 1] unite with a corresponding number of OH^{-} ions from a base to form water molecules, as in the equation ...
— An Introductory Course of Quantitative Chemical Analysis - With Explanatory Notes • Henry P. Talbot

... 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

... self-esteem; or spoke of getting into employment at some future day, among the learned. The pleasure of intellectual exercise in demonstrating or analyzing a geometrical problem, or solving an algebraic equation, seemed to be your only object. No Junior, Seignour or Sophomore class, with annual honors, was ever, I ...
— The Reminiscences of an Astronomer • Simon Newcomb

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

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

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

... motion of the sun and is shown by the sundial; mean solar time, on the other hand, is shown by a correct clock; and the difference between the two—or the difference between apparent time and mean time is technically known as the equation of time, and is set forth in a nautical ...
— Christopher and the Clockmakers • Sara Ware Bassett

... took a 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

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

... 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

... 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 of the ...
— The Canterbury Puzzles - And Other Curious Problems • Henry Ernest Dudeney

... noted upon the days thereof. The Priests of Egypt therefore in the Reign of Amenophis continued to observe the Heliacal Risings and Settings of the Stars upon every day. And when by the Sun's Meridional Altitudes they had found the Solstices and Equinoxes according to the Sun's mean motion, his Equation being not yet known, they fixed the beginning of this year to the Vernal Equinox, and in memory thereof erected this monument. Now this year being carried into Chaldaea, the Chaldaeans began their year of Nabonassar on the same ...
— The Chronology of Ancient Kingdoms Amended • Isaac Newton

... who, in turn, calls up b, a scout, and possibly a squared, with a fair chance that, if x y z (a Zeppelin) carry on, they will run into a squared b squared c cruisers. At this point, the equation generally stops; if it continued, it would end mathematically in the whole of the German Fleet coming out. Then another factor which we may call the Grand Fleet would come from another place. To change the comparisons: the Grand Fleet is the "strong left" ready ...
— Sea Warfare • Rudyard Kipling

... In this equation K b d represents the concrete area in compression. The value of K is approximately equal ...
— Some Mooted Questions in Reinforced Concrete Design • Edward Godfrey



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