| 单词 | algebraical |
| 例句 | In her correspondence, as reported by New Scientist magazine, Lovelace said that “the Analytical Engine weaves algebraical patterns just as the Jacquard-loom weaves flowers and leaves.” Google Doodle celebrates Ada Lovelace 2012-12-10T13:43:22Z Of or pertaining to algebra; containing an operation of algebra, or deduced from such operation; as, algebraic characters; algebraical writings. Webster's Unabridged Dictionary 2012-03-24T02:00:23.513Z He published a collection of arithmetical, mathematical, and algebraical questions. Life and Character of Richard Carlile 2012-03-14T02:00:25.327Z "She is very kind and considerate," Nellie murmured doubtfully; trying to work out the algebraical problem. A Drake by George! 2012-01-09T03:00:22.163Z On the other hand, we connect with every numeral, and with all algebraical symbols, accurately defined abstract concepts. The World As Will And Idea (Vol. 1 of 3) 2011-12-29T03:00:18.017Z Leibnitz supposed them to contain a reference to the modern algebraical discoveries, and especially to the binary calculation. The Philosophy of History, Vol. 1 of 2 2011-12-24T03:07:59.623Z One who analyzes; formerly, one skilled in algebraical geometry; now commonly, one skilled in chemical analysis. Webster's Unabridged Dictionary 2012-03-24T02:00:23.513Z To two distinct solutions of the algebraical problem, however, two distinct types of group will not necessarily correspond. Encyclopaedia Britannica, 11th Edition, Volume 12, Slice 6 "Groups, Theory of" to "Gwyniad" 2011-12-16T03:00:12.320Z The geometrical solution of arithmetical and algebraical problems is usually termed graphical analysis; the application to problems in mechanics is treated in Mechanics, � 5, Graphic Statics, and Diagram. Encyclopaedia Britannica, 11th Edition, Volume 12, Slice 3 "Gordon, Lord George" to "Grasses" 2011-11-13T03:00:13.177Z In the ordinary algebraical treatment of numbers this proof is altogether omitted, or given by a process of limits which does not seem to be natural to the subject. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z On a plane algebraical curve we may consider linear series of sets of points, obtained by the intersection with it of curves λϕ + λ1ϕ1 + ... Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 3 "Frost" to "Fyzabad" 2011-08-15T02:00:28.473Z We know that if we give one term in an algebraical expression an infinite value, all the rest go for nothing; so likewise do probable judgments vanish in the face of absolute authority. Pastor Pastorum 2011-07-25T02:00:14.597Z For groups of the plane it may be shown that not more than two of these differential invariants are independent, all others being formed from these by algebraical processes and differentiation. Encyclopaedia Britannica, 11th Edition, Volume 12, Slice 6 "Groups, Theory of" to "Gwyniad" 2011-12-16T03:00:12.320Z Diderot was informed that a learned mathematician was in possession of an algebraical demonstration of the existence of God and would give it to him before all the court if he desired to hear it. The Seven Follies of Science [2nd ed.] A popular account of the most famous scientific impossibilities and the attempts which have been made to solve them. 2011-06-30T02:00:34.290Z We shall treat the subject in order to show why the usual algebraical treatment of proportion is not really sound. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z And we may consider series of sets of points determined by variable curves whose coefficients are algebraical functions, not necessarily rational functions, of parameters. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 3 "Frost" to "Fyzabad" 2011-08-15T02:00:28.473Z Its real value depends on the moral sign attached to it, just as sternly as that of a mathematical quantity depends on the algebraical sign attached to it. Unto This Last and Other Essays on Political Economy 2011-06-29T02:00:26.763Z Now even the phenomena of electricity and the reactions one upon another of chemical bodies are expressed in algebraical formulae. The Gospel Of Evolution From "The Atheistic Platform", Twelve Lectures 2011-05-31T02:00:36.420Z And we have not made a geometrical and algebraical theodicea, after the example of many philosophers, and the most illustrious. Lectures on the true, the beautiful and the good 2011-05-25T02:00:17.943Z Having proved that these six laws hold, we can at once prove every one of the above propositions in their algebraical form. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z I'm going to let him drink his waters and go, with his countess and his algebraical daughter, and am not going so much as to turn my head to look at him. Royal Highness 2011-05-05T02:00:22.363Z Differential Equation, an algebraical relation involving derivatives or differentials. The New Gresham Encyclopedia Volume 4, Part 1: Deposition to Eberswalde 2011-04-14T02:00:57.977Z It is not that the algebraical solution, or algebraic formula for the roots, when n is greater than 4, has not been discovered; it does not exist. The New Gresham Encyclopedia Volume 4, Part 2: Ebert to Estremadura 2011-04-14T02:00:56.200Z But Gall proceeded entirely upon fact; and those who accuse his system as imaginative, will probably call the ‘Faerie Queene’ an historical poem, and ‘Lear’ an algebraical tragedy. Christian Phrenology A Guide to Self-Knowledge 2011-04-03T02:00:15.543Z This we shall do now; and we shall find that these laws are the same with those which hold in algebraical addition and multiplication. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z Besides these general theorems of formul�, what remains in the algebraical calculus is the resolution of equations. A System of Logic: Ratiocinative and Inductive 7th Edition, Vol. II 2011-03-01T03:00:40.557Z Or the equation may be algebraical; that is, the coefficients are not then restricted to denote, or are not explicitly considered as denoting, numbers. Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 7 "Equation" to "Ethics" 2011-02-27T03:00:31.973Z It is a synthesis not arithmetical, but algebraical; that is to say, its particular subjects are universal symbols, its predicates, universal laws: hence it is infinitely suggestive. The Literature of Ecstasy 2011-02-16T03:00:39.843Z When the unit is not determined, the reasoning is algebraical rather than arithmetical. Encyclopaedia Britannica, 11th Edition, Volume 2, Slice 5 "Arculf" to "Armour, Philip" The treatment, as here given, is admirable, and in every respect superior to the algebraical method by which Euclid’s theory is now generally replaced. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z The following may be stated as the general problem of the algebraical calculus: F being a certain function of a given number, to find what function F will be of any function of that number. A System of Logic: Ratiocinative and Inductive 7th Edition, Vol. II 2011-03-01T03:00:40.557Z It does not even follow that in the case of a numerical equation solvable by radicals the algebraical solution gives the numerical solution, but this requires explanation. Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 7 "Equation" to "Ethics" 2011-02-27T03:00:31.973Z If from this algebraical expression we determined that space admitted of four dimensions, we should be enunciating a mystery, because we should be applying to space a notion which belongs to quantity. An Essay In Aid Of A Grammar Of Assent The only other algebraical symbol is for minus; plus being expressed by merely writing terms one after another. Encyclopaedia Britannica, 11th Edition, Volume 8, Slice 5 "Dinard" to "Dodsworth" Considered from this point of view, we may say the fifth book of the Elements shows that some of the simpler algebraical operations hold for incommensurable numbers. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z Differences and Differential Coefficients.—The various formulae are most quickly obtained by symbolical methods; i.e. by dealing with the operators Δ, E, D, ... as if they were algebraical quantities. Encyclopaedia Britannica, 11th Edition, Volume 8, Slice 4 "Diameter" to "Dinarchus" We now consider the question of the algebraical solution of equations, or, more accurately, that of the solution of equations by radicals. Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 7 "Equation" to "Ethics" 2011-02-27T03:00:31.973Z Supposing a boy cannot make his answer to some arithmetical or algebraical question tally with the book, need he at once distrust the book? An Essay In Aid Of A Grammar Of Assent But the law-abiding character of life is, however, just as much an algebraical expression as the "proportion of the product." Anarchism A Criticism and History of the Anarchist Theory We shall state all his propositions in that algebraical form to which we are now accustomed. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z Hence the symbols can be separated from the functions on which the operations are performed, and treated as if they were algebraical quantities. Encyclopaedia Britannica, 11th Edition, Volume 8, Slice 4 "Diameter" to "Dinarchus" But when the quartic is numerical the same thing happens as in the cubic, and the algebraical solution does not in every case give the numerical one. Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 7 "Equation" to "Ethics" 2011-02-27T03:00:31.973Z Another far more subtle and effective instrument is algebraical science, which acts as a spell in unlocking for us, without merit or effort of our own individually, the arcana of the concrete physical universe. An Essay In Aid Of A Grammar Of Assent It was not every teacher even that could follow him in his quick but exact evolutions of complex algebraical formul�. In the School-Room Chapters in the Philosophy of Education These are the methods of what is now called analytical, or sometimes algebraical, geometry. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z Such is the basis of the algebraical or modern analytical geometry. Encyclopaedia Britannica, 11th Edition, Volume 8, Slice 2 "Demijohn" to "Destructor" It puts one in mind of long algebraical p. 273operations in which the student has wholly lost sight of reality, and is driving on his symbols, quite unable to grasp their significance. The Claims of Labour an essay on the duties of the employers to the employed His discovery of the simple application of the notation of indices to algebraical powers, has totally remodelled the whole science of algebra. Ancient and Modern Celebrated Freethinkers Reprinted From an English Work, Entitled "Half-Hours With The Freethinkers." Fixity, indeed, is a characteristic of the signs which have been expressly invented for scientific use, such as algebraical notation or the nomenclature of chemistry. Introduction to the Study of History There is nothing algebraical in this analysis, as distinguished from synthesis, of the Greeks, and of the expositors of pure geometry. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z There is no more breach of continuity in those than there is in an algebraical curve that goes to infinity. Memoranda Sacra Little Jack's solution calls for a word of praise, as he has written out what really is an algebraical proof in words, without representing any of his facts as equations. A Tangled Tale "On horseback?" said Faith, much as if those words had been also French, or an algebraical puzzle. Say and Seal, Volume I According to these experiments, the resistance of the air can be represented by no simple algebraical law over a large range of velocity. Encyclopaedia Britannica, 11th Edition, Volume 3, Part 1, Slice 2 "Baconthorpe" to "Bankruptcy" During the later years of his life he resided in London, devoting himself to the construction of machines capable of performing arithmetical and even algebraical calculations. Encyclopaedia Britannica, 11th Edition, Volume 3, Part 1, Slice 1 "Austria, Lower" to "Bacon" The scorner was informed that an eminent mathematician had an algebraical proof of the existence of God, which he would communicate before the whole Court, if agreeable. A Budget of Paradoxes, Volume II Q. Y. Z. tries a rather complex algebraical solution, and succeeds in finding the time of meeting correctly: all else is wrong. A Tangled Tale It would be pure science and patient calculation: an algebraical hippogriff, with pluck in the saddle. The Bill-Toppers The major part of the two nuisances, like algebraical quantities of plus and minus, extinguished each other. The Posthumous Works of Thomas De Quincey, Vol. 2 The discovery that geometrical curves might be expressed by algebraical numbers, though highly important in the history of mathematics, only interests us here by leading us to trace his philosophical development. The Great Events by Famous Historians, Volume 11 The letters have been modernized in spelling, and, to some extent, in algebraical notation; it also seems that conjectural methods of introducing interpolations into the text have been necessary. A Budget of Paradoxes, Volume II We keep the old term dollars as an algebraical symbol for comparing the values of products with one another. The World's Greatest Books — Volume 14 — Philosophy and Economics Every action, to me, could be proved as a proposition in Euclid or an algebraical problem. The Strand Magazine, Volume V, Issue 30, June 1893 An Illustrated Monthly These things do not stand under algebraical laws, as though ratting to the right hand could balance a ratting to the left, and leave the guilt = 0. The Posthumous Works of Thomas De Quincey, Vol. 2 It was, he said, like the fascination to a mathematician of a most elaborate and exquisite demonstration, a perfect algebraical equation, with the glowing realities of life in place of figures and symbols. The Blindman's World 1898 But though pleasure and pain stand to one another in the same algebraical relation as money gained and lost, yet there is more than algebra can take account of in the difference. A Budget of Paradoxes, Volume II It is characterised by great lucidity, by logical arrangement, and by comparatively simple geometrical and algebraical demonstrations, so that it may be understood and appreciated with a very moderate knowledge of mathematics. Contributions to the Theory of Natural Selection A Series of Essays He found the editing, writing, illustrating, publishing, and entire bringing-out of a small journal he founded far more agreeable to his taste than Latin verbs and algebraical problems. The Strand Magazine, Volume V, Issue 30, June 1893 An Illustrated Monthly Let us call these primary elements by algebraical signs, a, b, c, d, e, f. Folklore as an Historical Science Formula is an odious word in any case, recalling, as it does, algebraical horrors of a forgotten past; but everybody present wrote out formulae, and dialecticians had the time of their lives. Experiences of a Dug-out, 1914-1918 Diderot was informed that a learned mathematician was in possession of an algebraical demonstration of the existence of God, and would give it him before all the Court, if he desired to hear it. A Budget of Paradoxes, Volume II It was quite enough if one of the two knew anything about the matter; besides, he thought that it improved me so much to look over the problems and algebraical calculations of my schoolfellows. Rattlin the Reefer He is surely, James, in all his elaborateness, trying to square the rose and compute the lily, algebraical advances upon a most simple thesis. Adventures in the Arts Informal Chapters on Painters, Vaudeville, and Poets Miss Jenny Ann was trying to instruct four of her pupils from "Miss Tolliver's Select School for Girls" in the intricacies of algebraical problems. Madge Morton's Secret Let us assume that the two teachers are on a level in respect of their capacity for influencing and stimulating their pupils, and let us indicate that level by the algebraical symbol x. What Is and What Might Be A Study of Education in General and Elementary Education in Particular The effect produced by external light is superposed on this intrinsic light, and certain curious results of this algebraical summation will be noticed later. Response in the Living and Non-Living He seated himself in his armchair, and with a pen began to make an algebraical calculation. A Journey to the Centre of the Earth This hieroglyphical or algebraical method of 'taking off' the occurrences of human life is applied with almost unvarying uniformity. Chambers's Edinburgh Journal, No. 428 Volume 17, New Series, March 13, 1852 To-night, however, it was quite impossible to take a proper interest in algebraical problems, when each member of the little group had such a serious individual problem staring her in the face. Madge Morton's Secret At the time of our first meeting at school, I was unable to solve even the simplest algebraical problem. The House of the Vampire If the two faces are not molecularly similar, however, there will be a current, and the electrical effects to be subsequently described will act additively, in an algebraical sense. Response in the Living and Non-Living This is lightning, mere vulgar lightning, a simple result of electrical conditions in the upper atmosphere, inconveniently connected with algebraical formulas in x, y, z, with horrid symbols interspersed in Greek letters. Falling in Love With Other Essays on More Exact Branches of Science Sometimes an algebraical formula or theorem seems to give pleasure to the mathematician's eye, but it is probably only an intellectual pleasure. Amusements in Mathematics So saying, he traced some algebraical signs on the paper, amongst which n^2 and x^2 frequently appeared. The Moon-Voyage It is like working out a problem in electrical resistance by a nice convenient algebraical formula. All in It : K(1) Carries On A Continuation of the First Hundred Thousand "To my paralysed brain, the Blackmore case is like an endless algebraical problem propounded by an insane mathematician." The Mystery of 31 New Inn In astronomy, I have really done very little beyond mere algebraical working of the fundamental theorems, and a little casual observation of the telescope. Men of Invention and Industry Also, the arithmetical and algebraical puzzles are not separated in the manner adopted by some authors, who arbitrarily require certain problems to be solved by one method or the other. Amusements in Mathematics The term, as we use it, answers to no real thing, but merely serves as an algebraical symbol for comparing the values of products with one another. Looking Backward, 2000 to 1887 To the eyes of the economist, the revolutions of empires seem now like the reduction of algebraical quantities, which are inter-deducible; now like the discovery of unknown quantities, induced by the inevitable influence of time. What is Property? I entered, and found Captain Nemo deep in algebraical calculations of x and other quantities. Twenty Thousand Leagues under the Sea But to those who tread the Long Trail the making of camp resolves itself into an algebraical formula. The Forest The first of the equivoques is implied by those who observe that one can likewise think with geometrical figures, algebraical numbers, ideographic signs, without a single word, even pronounced silently and almost insensibly within one. Aesthetic as Science of Expression and General Linguistic Its development, past or future, is contained in it just as a curve is contained in its algebraical formula. Amiel's Journal Scientific godlessness formularises this tendency into a system, and proclaims that laws are everything and God a mere algebraical x. Expositions of Holy Scripture Isaiah and Jeremiah Upon one of these pieces of cotton were certain cabalistic signs, such as figures, algebraical marks, and geometrical figures. Jack Harkaway and His Son's Escape from the Brigand's of Greece In the following list, the first head is purely algebraical, and the second nearly so: but they are closely related to observational science, and to the physical subjects which follow. Autobiography of Sir George Biddell Airy So I invoke your name to stand before my endeavour like a figure outside the brackets in an algebraical sum, to make all the difference by multiplying the meaning contained. The Westcotes He is acquainted with the abstract idea of space by the help of his geometrical figures; he is acquainted with the abstract idea of quantity by the help of his algebraical symbols. Emile It appears to have been begun in senile peevishness, containing only a few prefatory remarks and discussing some algebraical questions with the fancied errors of the editors. Thomas Hariot, the Mathematician, the Philosopher and the Scholar I make bold to take the chalk in hand myself, to seize the rudder of our algebraical boat. The Life of the fly; with which are interspersed some chapters of autobiography The present distribution of good and evil is, therefore, the algebraical sum of accumulated positive and negative deserts; or, rather, it depends on the floating balance of the account. Evolution and Ethics It is to this method of subjecting everywhere infinity to algebraical calculations, that the name is given of differential calculations or of fluxions and integral calculation. Letters on England Arithmetical or algebraical calculations are, from their very nature, fixed and determinate. The Works of Edgar Allan Poe — Volume 4 For the lines of beauty there are no abscissae and ordinates; circles and ellipses are not described by means of their algebraical formulae. On War — Volume 1 Let us hurl ourselves head first into the algebraical gulf; and perhaps the imminent danger of drowning will call forth efforts capable of bringing me to land. The Life of the fly; with which are interspersed some chapters of autobiography A man's personal equation, as astronomers call the effect of his individuality, is kin, for all its complexity, to those simple algebraical problems which so puzzled us at school. The Soul of the Far East All that is left of the universe henceforward is a whirl of atoms in which nothing counts but certain fixed quantities translated by our systems of equations; the rest has vanished "in algebraical smoke." A New Philosophy: Henri Bergson Let us place the first move in a game of chess, in juxta-position with the data of an algebraical question, and their great difference will be immediately perceived. The Works of Edgar Allan Poe — Volume 4 In the algebraical question, as it proceeds towards solution, the certainty of its operations remains altogether unimpaired. The Works of Edgar Allan Poe — Volume 4 |
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