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Updated: May 3, 2025
"A formula for writing down the coefficient of any stated term in the expansion of any stated power of a given binomial," replied the Wonder. Elmer blew out his cheeks and looked at Challis, but met the gaze of Mr. Steven, who adjusted his glasses and said, "I am satisfied under this head." "It's all beyond me," remarked Squire Standing frankly. "I think, Mr.
The discovery of the binomial theorem was an effort of genius; but there was none shown in Jedediah Buxton's being able to multiply 9 figures by 9 in his head. If he could have multiplied 90 figures by 90 instead of 9, it would have been equally useless toil and trouble. He is a man of capacity who possesses considerable intellectual riches: he is a man of genius who finds out a vein of new ore.
Some of the religions papers condemned the whole affair, enlarging upon the strained wrists, broken blood-vessels and barbaric animalism of men who ought to have been rowing their race with the Binomial Theorem for one oar and Kames' Elements of Criticism for the other.
What universal binomial denominations would be his as entity and nonentity? Assumed by any or known to none. Everyman or Noman. What tributes his? Honour and gifts of strangers, the friends of Everyman. A nymph immortal, beauty, the bride of Noman. Would the departed never nowhere nohow reappear?
And yet people say there is no poetry in commerce! Newton did not make more calculations for his famous binomial than Birotteau made for his Comagene Essence, for by this time the Oil had subsided into an Essence, and he went from one description to the other without observing any difference.
It is said that Newton discovered the binomial theorem by induction; by raising a binomial successively to a certain number of powers, and comparing those powers with one another until he detected the relation in which the algebraic formula of each power stands to the exponent of that power, and to the two terms of the binomial. The fact is not improbable: but a mathematician like Newton, who seemed to arrive per saltum at principles and conclusions that ordinary mathematicians only reached by a succession of steps, certainly could not have performed the comparison in question without being led by it to the
"Eh, what?" and Woloda straightway began to expound to me Newton's Binomial, but so rapidly and unintelligibly that, suddenly reading in my eyes certain misgivings as to the soundness of his knowledge, he glanced also at Dimitri's face. Clearly, he saw the same misgivings there, for he blushed hotly, though still continuing his involved explanations.
The occasion was memorable in other ways a long conversation between Maury and a defunct crab, which he was dragging around on the end of a string, as to whether the crab was fully conversant with the applications of the binomial theorem, and the aforementioned race in two hansom cabs with the sedate and impressive shadows of Fifth Avenue for audience, ending in a labyrinthine escape into the darkness of Central Park.
In view of the manifold variety of requisites for making each sex fulfil its earthly mission, the standard to be adopted in measuring its relative position must be of a composite character; or, to borrow from economic language, it must be a multiple standard. Bushido had a standard of its own and it was binomial. It tried to guage the value of woman on the battle-field and by the hearth.
The loss of pressure in question can only be calculated conveniently on the hypothesis that it is very small, and the general formula, For this purpose the binomial formula, au + bu squared, or the simple formula, b1 u squared, is generally adopted; a b and b1 being coefficients deduced from experiment.
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