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Updated: May 1, 2025
He judges it to be good or bad "according as it has or has not a surplus of agreeable feeling." To be sure, Spencer criticises the utilitarians, and thinks little of the Benthamic calculus of pleasures. He believes that we should substitute for it something more scientific, a study of the processes of life.
The inductive method, or the "Baconian" method of observation and experiment, began to bear rich fruits. Fluxions, or the differential calculus, was discovered independently by both Newton and Leibnitz. Napier invented logarithms, to shorten mathematical calculations.
But the door opened before she had time to run away, and she found herself rather confusedly bowing to Miss Prescott, who held in her hand, not a book on calculus, but a common, every-day magazine. "Good evening, Miss Wyatt. Won't you come in and sit down?" said Miss Prescott, in a very cordially human tone.
A few months afterwards the animal was killed, and there was found a calculus of considerable size, of which the pebble was the nucleus. Occasionally the pressure of the bladder on the calculus which it contains is exceedingly great, so much so, indeed, as to crush the calculus.
The reason for this is that each person has a cultivated immunity to a given toxic state of the intestinal contents, and when from pressure or the irritation caused by a calculus. there is a denudation of the mucosa the infection that takes place has not the power to arouse a systemic resistance' but can cause only a local inflammation; this inflammation may end in ulceration, or it may cause a thickening of the parts and interfere with drainage from mucous or glandular pockets; then the locked up secretions become intensely toxic, and this sets up a new infection much greater then l the first and powerful enough to cause the system to call out its militia to put down the rebellion.
"Besides the three great subjects of Newton's labours the fluxional calculus, physical astronomy, and optics a very large portion of his time, while resident in his college, was devoted to researches of which scarcely a trace remains. Alchemy, which had fascinated so many eager and ambitious minds, seems to have tempted Newton with an overwhelming force.
Twenty-five cents purchased three quarts of strained honey from a bee-keeper friend of mine. The dollar I invested in hominy. Every morning, when I first got up and built the fire, I put on a double boiler with as much hominy as would cook in it. While it was cooking I sat down and studied hard on my calculus.
It is not uncommon for needles, hair-pins, and the like to form nuclei for incrustations. Gross found three caudal vertebrae of a squirrel in the center of a vesical calculus taken from the bladder of a man of thirty-five. It was afterward elicited that the patient had practiced urethral masturbation with the tail of this animal.
"One, two one, two," said Sam. "You can count, can't you?" His mathematics carried with it a momentary qualm and a lesson. The thought had not occurred to him that the thought could possibly occur to me not to ride at his side on that red road to revenge and justice. It was the higher calculus. I was booked for the trail. I began to eat more beans.
"Now then what is this Integral Calculus of yours?" "It is a branch of Mathematics that has for its object the summation of a certain infinite series of indefinitely small terms: but for the solution of which, we must generally know the function of which a given function is the differential coefficient.
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