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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



... though. He memorized the energy-mass equation in an attempt to justify his new status in life, but he hasn't the remotest notion of what it means. It's ironic in a way that Pfleugersville should have been discovered by someone with an ...
— The Servant Problem • Robert F. Young

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

... and 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 ...
— One Third Off • Irvin S. Cobb

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

... 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 shall be ...
— Scientific American Supplement, No. 514, November 7, 1885 • Various

... 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 ...
— The Living Present • Gertrude Franklin Horn Atherton

... interrupt—as Miss Ottway sometimes had done—the processes of his thought. Without realizing it he fell into the habit of listening for the inflections of her voice, and though he had never lacked the power of making decisions, she somehow made these easier for him especially if, a human equation ...
— The Crossing • Winston Churchill

... 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 at Philippina, kept making mean ...
— The Goose Man • Jacob Wassermann

... conjectured career in the 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 they become better ...
— Tess of the d'Urbervilles - A Pure Woman • Thomas Hardy

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

... equilibrium, 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 &c. adj.; equal, match,reach, keep pace with, run abreast; ...
— Roget's Thesaurus

... 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 ...
— My Year of the War • Frederick Palmer

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

... millionaires in Wall 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 cared to ...
— The Mirrors of Washington • Anonymous

... mathematical journals, and that Lurida presented such a neat solution that the young man fell in love with her on the strength of it. I don't think the story is literally true, nor do I believe that other report that he offered himself to her in the form of an equation chalked on the blackboard; but that it was an intellectual rather than a sentimental courtship I do not doubt. Lurida has given up the idea of becoming a professional lecturer,—so she tells me,—thinking ...
— The Autocrat of the Breakfast-Table • Oliver Wendell Holmes, Sr. (The Physician and Poet not the Jurist)

... 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 was stunted, she seemed to blossom ...
— Life at High Tide - Harper's Novelettes • Various

... and 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

... his friend Swinnerton Loughburne, M.A., Ph.D., L.L.D.): "Incontrovertibly the introduction of the personal equation leads to lamentable inversions, and the perceptive faculties when contemplating phenomena through the lens of ego too often conceive an accidental connotation or manifest distortion to be actuality, for the physical (or personal) too often beclouds that power of inner ...
— The Night Horseman • Max Brand

... 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 set down ...
— The History of the United States from 1492 to 1910, Volume 1 • Julian Hawthorne

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

... 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 suppose, presented to ...
— The Reminiscences of an Astronomer • Simon Newcomb

... 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 should not receive prompt, ...
— Sketches In The House (1893) • T. P. O'Connor

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

... was coiled up on the sofa calmly working out some algebra problems, quite oblivious to the noise around him. But he looked up from his slate, with his pencil suspended above an obstinate equation, to ...
— Lucy Maud Montgomery Short Stories, 1896 to 1901 • Lucy Maud Montgomery

... 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 and crushed ...
— The Better Germany in War Time - Being some Facts towards Fellowship • Harold Picton

... no 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 ...
— A Short History of Monks and Monasteries • Alfred Wesley Wishart

... in controversy, whatever might 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, ...
— Charles Carleton Coffin - War Correspondent, Traveller, Author, and Statesman • William Elliot Griffis

... 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

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

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

... 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

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

... the northern side. Their occurrence or 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

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

... of 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 ...
— Little Journeys to the Homes of the Great - Volume 12 - Little Journeys to the Homes of Great Scientists • Elbert Hubbard

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

... that L is here measured in electrical measure, or, adopting the unit given by Dr. Siemens in the British Association Address, in joules. One joule equals approximately 0.74 foot pound. Equation 3 gives at once an analytical proof of the second principle stated above, that for a given motor the current depends upon the couple, and upon it alone. Equation 2 shows that with a given load the speed depends upon E, the electromotive force of the main, and R the resistance in ...
— Scientific American Supplement, Vol. XV., No. 388, June 9, 1883 • Various

... unit of time for the velocity is made the hour, and in the place of the product of the velocity and density is written its equivalent, the weight of gas flowing per hour divided by the area of the tube, this equation becomes: ...
— Steam, Its Generation and Use • Babcock & Wilcox Co.

... 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, have visited ...
— The Atlantic Monthly, Volume 17, No. 102, April, 1866 • Various

... 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 ...
— The Problems of Psychical Research - Experiments and Theories in the Realm of the Supernormal • Hereward Carrington

... Every element of a picture, in whatever way it gains power to excite motor impulses, is felt as expressing that power in the flat pattern. A noble vista is understood and enjoyed as a vista, but it is COUNTED in the motor equation, our "balance," as a spot of so much intrinsic value at such and such a distance from the centre. The skillful artist will fill his target in the way to give the maximum of motor impulses with the perfection of balance ...
— The Psychology of Beauty • Ethel D. Puffer

... permeate 'em. Then there are other things—music, art, social opportunities, capacity of expression—that are no slight things to miss; they make up more of first-class living than Greek optatives or the equation of a surface. It isn't really possible for a man, not backed by circumstances, to get himself into a position that some are born to." He let the clover be and looked up. "Oh, I'm not growling, Winifred," he said, hastily, smiling, as he saw her about ...
— Stories by American Authors, Volume 9 • Various

... 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

... 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 ...
— Scientific American Supplement, No. 561, October 2, 1886 • Various

... 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 ...
— Essays in Rebellion • Henry W. Nevinson

... knowledge; and there is no more a specifically feminine way of describing correctly the origin of the Lollard movement, or the character of Spenser's poetry, than there is a specifically feminine way of solving a quadratic equation, or of proving the forty-seventh ...
— Women and the Alphabet • Thomas Wentworth Higginson

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

... judgment and in my private affections has hardly altered at all since the first reading. I like it as a reader perhaps rather more than I esteem it as a critic; but even as a critic, and allowing fully for the personal equation, I think that it deserves a far higher place than is generally accorded ...
— The Tales Of The Heptameron, Vol. I. (of V.) • Margaret, Queen Of Navarre

... few moments," said an aide-de-camp, who stood beside us. "The General is at work on a simultaneous equation!" ...
— Further Foolishness • Stephen Leacock

... when advancing or declining to advance the partner's bid, the personal equation should be a most important, if not the deciding, factor. Some players are noted for their reckless declaring; with such a partner the bidding must be ultra-conservative. Other players do not regard conventional rules in their early declarations. The bids ...
— Auction of To-day • Milton C. Work

... 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.

... 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 as the value of a Branly ...
— The Education of Henry Adams • Henry Adams

... 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

... United States has consisted chiefly of manufacturing and selling. The raw material has occupied no consistent place in the equation. The value it has had in fixing the price of the finished product has been merely in its relation to transportation. Intrinsically it has been accorded no value. This situation continued just as long as there was practically free ...
— Practical Forestry in the Pacific Northwest • Edward Tyson Allen

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

... in their minds. He asks for cold and clear logic, and when he talks about right and wrong he is really talking about right and wrong logic. Now, logic is not the mainspring of every action, nor is justice only the inevitable working out of an equation. Humanity, as Mr. Shaw sees it, moves like clockwork; and must be regulated as a watch is, and praised or blamed simply in proportion to its exactitude in keeping time. Humanity, as Mr. Shaw knows, does not move by clockwork, and the ...
— Plays, Acting and Music - A Book Of Theory • Arthur Symons

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

... chord to the radius, AB/AO, Fig. 3. This being given, the value of the ratio is found on the straight scale on the body of the instrument, and the curved plate is moved until the beveled edge cuts the scale at the desired point. The figure of this curve is a polar curve, whose equation is r a - b sin. 2 [theta], where a is the distance from the zero graduation to the axis of the mirror, and b is the length of the scale from zero to 2, and [theta] is the inclination of the mirror. In the perspective view, Fig. 1, the curved edge cuts the scale ...
— Scientific American Supplement, No. 832, December 12, 1891 • Various

... 'nice boy,' and had not secretly felt her husband's niece rather dangerous 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 ...
— Forsyte Saga • John Galsworthy

... liked him, trusted him, who were 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 been a ...
— Poor Man's Rock • Bertrand W. Sinclair

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

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

... aware of that," said Madame de Villefort; "but I have a passion for the occult sciences, which speak to the imagination like poetry, and are reducible to figures, like an algebraic equation; but go on, I beg of you; what you say interests me to ...
— The Count of Monte Cristo • Alexandre Dumas, Pere

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

... broach the matter to Dr Drummond; report says his relative and housekeeper, Mrs Forsyth, who perhaps might do it under circumstances of strategical advantage. Mrs Forsyth, or whoever it was, had her reply in the hidden terms of an equation—was it any farther for the people of East Elgin to walk to hear him preach than for him to walk to minister to the people of East Elgin, which he did quite once a week, and if so, how much? Mrs Forsyth, or whoever it was, might eliminate the unknown quantity. It ...
— The Imperialist • (a.k.a. Mrs. Everard Cotes) Sara Jeannette Duncan

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

... the chest: he must not forget that. Slowly he heaves and pushes, now at this, now at the life-line hitching on knob, handle, lever or projecting peg—on anything or nothing in that maze of machinery; by involution and evolution, like the unknown quantity in a cubic equation, through all the twists, turns, assumptions and substitutions, and always with that unmanageable, indivisible coefficient the box, until ...
— Lippincott's Magazine Of Popular Literature And Science, No. 23, February, 1873, Vol. XI. • Various

... all very well to laugh; but some of us, our personal equation quite apart, could not help feeling that the joke was of a precarious quality, that the situation held tragic possibilities. A young and attractive girl, by no means constitutionally insusceptible, and imbued with heterodox ideas ...
— Grey Roses • Henry Harland

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

... Timochares. In pure mathematics he gave methods for solving all triangles plane and spherical: he also constructed a table of chords. In astronomy, besides his capital discovery of the precession of the equinoxes just mentioned, he also determined the first inequality of the moon, the equation of the centre, and all but anticipated Ptolemy in the discovery of the evection. To him also must be attributed the establishment of the theory of epicycles and eccentrics, a geometrical conception for the purpose of resolving the apparent motions of the heavenly bodies, ...
— History of the Intellectual Development of Europe, Volume I (of 2) - Revised Edition • John William Draper

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

... assigned for sensation, but all such results must be very vaguely approximative. Boxers, fencers, players at the Italian game of morn, "prestidigitators," and all who depend for their success on rapidity of motion, know what differences there are in the personal equation of movement. ...
— Medical Essays • Oliver Wendell Holmes, Sr.

... which the rate of change or rate of growth at any instant t is directly proportional to the value of the function at the instant t obeys what has been termed the 'law of organic growth,' and may be expressed by the equation, ...
— Manhood of Humanity. • Alfred Korzybski

... 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 ...
— State of the Union Addresses of Theodore Roosevelt • Theodore Roosevelt

... earth as resting upon the shoulders of Atlas, and Atlas as standing upon a turtle; but what the turtle stood upon was a puzzle. An acute person says that science has but changed the terms of the equation, but that the unknown quantity is the same as ever. The earth now rests upon the sun,—in his outstretched palm; the sun rests upon some other sun, and that upon some other; but what they all finally rest upon, who can tell? Well may Tennyson speak of the "fairy ...
— Birds and Poets • John Burroughs

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

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

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

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

... into a clearing. Nor does the scenery any more affect the thoughts than the thoughts affect the scenery. We see places through our humours as though differently colored glasses. We are ourselves a term in the equation, a note of the chord, and make discord or harmony almost at will. There is no fear for the result, if we can but surrender ourselves sufficiently to the country that surrounds and follows us, so that ...
— Essays of Robert Louis Stevenson • Robert Louis Stevenson

... conditions, and this will lead us on in an intelligible manner to see 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 which it may work. Let ...
— The Law and the Word • Thomas Troward

... 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) would be ...
— Deductive Logic • St. George Stock

... the country. One sees less, but one feels more. I was standing near the window—through the double frames of which the morning sun was throwing its mote-flecked beams upon the floor of what seemed to me my intolerably wearisome schoolroom—and working out a long algebraical equation on the blackboard. In one hand I was holding a ragged, long-suffering "Algebra" and in the other a small piece of chalk which had already besmeared my hands, my face, and the elbows of my jacket. Nicola, clad in an apron, and with ...
— Youth • Leo Tolstoy

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

... character and action, and bid others do the same, and count themselves men of the world for their acuteness (Luke 16:1-8). And to do them justice, Jesus commends them; they have taken the exact measure of things "in their generation." Their mistake lies in their equation of the fugitive and the eternal; and it is the final and fatal mistake according to Jesus, and a very common one—forgetfulness of God in fact (Luke 12:20), a mistake that comes from not thinking things out. Jesus will have men think everything out to the very end. "He never says: Come unto ...
— The Jesus of History • T. R. Glover

... 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

... 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, ...
— Roget's Thesaurus of English Words and Phrases: Body • Roget

... to start with, the population remains in equilibrium. If the condition is not fulfilled to start with, Hardy showed that a position of equilibrium becomes established after a single generation, and that this position is thereafter maintained. The proportions of the three classes which satisfy the equation q^2 pr are exceedingly numerous, and populations in which they existed in the proportions shown in the appended table would remain in stable equilibrium generation ...
— Mendelism - Third Edition • Reginald Crundall Punnett

... anticipated should be inaugurated in our own households. I know how idle is the expectation of any general and permanent enhancement of the wages of any class or condition above the level of equation of Supply and Demand; yet it seems to me that the friends of woman's rights may wisely and worthily set the example of paying juster prices for female assistance in their households than those now current. If they would but resolve never to pay a capable, efficient woman less than two-thirds ...
— History of Woman Suffrage, Volume I • Elizabeth Cady Stanton, Susan B. Anthony, and Matilda Joslyn Gage

... 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

... 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 pedal marks are wrong in Chopin. I doubt if any edition can ever give them as they should be, for here again the individual equation comes into play. Apart from certain fundamental rules for managing the pedals, no pedagogic regulations should ever be made ...
— Chopin: The Man and His Music • James Huneker

... the rest of the picture has become almost all the picture: the author and the producer, among us, lift the weight of the play from the performer—particularly of the play dealing with our immediate life and manners and aspects—after a fashion which does half the work, thus reducing the "personal equation," the demand for the maximum of individual doing, to a contribution mostly of the loosest and sparest. As a sop to historic curiosity at all events may even so short an impression serve; impression of the strenuous age and its fine old masterful assouplissement ...
— A Small Boy and Others • Henry James

... can follow me. When tallow is saponified there is formed, from the palmitin, stearin, and olein contained, with the cauticizing agent—in this case, lime—a soap. But there are two ends to every equation, and at the bottom of this immense soap vat, held in solution by the water, which would afterwards be taken up by the surplus lime, was the other end of this equation; and as the yield from tallow of this other product is about thirty ...
— Great Sea Stories • Various

... 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

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

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

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

... 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 ...
— Glaucoma - A Symposium Presented at a Meeting of the Chicago - Ophthalmological Society, November 17, 1913 • Various

... the same values through the block is a geological assumption. From the outer shell, all the values can be taken to penetrate equal distances into the block, and therefore D, D1, D2 may be considered as equal and the equation becomes:— ...
— Principles of Mining - Valuation, Organization and Administration • Herbert C. Hoover

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

... demands. Thus he found himself, in his rude surroundings on the Plains, a man still unsettled and restless, ambitious for success, but most of all ambitious with that deadly inner ambition to stand for his own equation, to be himself, to reach his own standards; that ambition which sends so many broken hearts into graves whose headstones tell no history. Franklin wondered deliberately what it must be to succeed, what it must be to achieve. And he wondered deliberately ...
— The Girl at the Halfway House • Emerson Hough

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



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