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Updated: May 13, 2025


It may be equal to the algebraic sum of these, or to their difference, according to whether the external conditions on the field were locally and individually favorable or unfavorable. A large amount of sugar may be due to high individual value, with slight subsequent deviation from it, or to a less prominent character combined with an extreme subordinate deviation.

The stage in which the word becomes a mere colorless, algebraic sign of object or process never occurs, practically, for in any case it has accumulated in its history and vicissitudes a fringe of suggestiveness, as a ship accumulates barnacles. "Words carry with them all the meanings they have worn," says Walter Raleigh in his "Essay on Style."

WOLF, the German metaphysician, relates of himself that he had, by the most persevering habit, in bed and amidst darkness, resolved his algebraic problems, and geometrically composed all his methods merely by the aid of his imagination and memory; and when in the daytime he verified the one and the other of these operations, he had always found them true.

While wise men may endure it for the sake of their material interests, they will never love it for itself. There is nothing sweeter than to be sympathised with, while nothing requires a rarer intellectual heroism than willingness to see one's equation written out. Nevertheless this same algebraic sense for character plays a large part in human friendship.

I am the algebraic x which represents the infinite divisibility of a finite particle. "Sir Overbeck felt a shudder as though an ice-cold hand had been placed upon his brow. 'What is your message? he whispered, falling prostrate before his mysterious visitor. "'To tell you that the eternities beget chaos, and that the immensities are at the mercy of the divine ananke.

The other day, when he was at the Observatory, where he now spends all his evenings, only coming home in the small hours, I took it upon myself to enter his room and examine his papers. I was terrified, madame, at finding a paper covered with algebraic calculations which, by their vast extent appeared to me to go beyond the limits of the human intellect."

Willibald was 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 at Philippina, kept making mean remarks about her staying out so long.

And that was all. Was it a handful of husks, or was it a banquet? Carolyn took it for the latter and lived on it for days. Little it mattered what or how much he had written: he had written, and of his own accord as Carolyn made a point of from the first. There is an algebraic formula expressive of the truth that "1" is an infinitely greater number of times than "0."

Now the mathematicians who saw that the results of any given impulse were absolutely endless and who saw that a portion of these results were accurately traceable through the agency of algebraic analysis who saw, too, the facility of the retrogradation these men saw, at the same time, that this species of analysis itself, had within itself a capacity for indefinite progress that there were no bounds conceivable to its advancement and applicability, except within the intellect of him who advanced or applied it.

But now he worked with indefatigable industry on an imaginary slate; put his postulate, counted probabilities, allowed for chances, added, deducted, multiplied, and unknowingly performed algebraic feats, till his brows were stiff with frowning, and his brain craved for stimulant. This necessity sent his hand to his purse, for the calling of the cab had not been a premeditated matter.

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