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Updated: May 19, 2025
Among prehistoric and savage races, who were ignorant of the laws and nature of cosmic forces, the greater or less weight of a thing did not involve any examination of the mass of a phenomenon, its distance, and the general laws of gravity; this differential weight was itself believed to be a thing which acted, and sometimes deliberately, acted in different ways on the different objects which they were comparing at the moment.
The work of the physics labs was operating on the differential ability of various gas molecules to "leak" through plastic membranes under pressure, causing separation of the various molecular constituents of the atmosphere; shunting carbon dioxide off in one direction, and returning oxygen and the inert nitrogen and other gases back to the surrounding atmosphere.
The contest for priority between Leibnitz and Newton concerning the invention of the differential calculus was later settled by the decision that Newton invented his method of fluxions first, but that Leibnitz published his differential calculus earlier and in a more perfect form.
It is not, perhaps, going too far to say, that few professors in Britain have an equally accurate and extensive knowledge of the integral and differential calculus, with some lads of 17 or 18, who have completed their education at the Ecole Polytechnique.
It is in this direction, I am convinced, that we must look for the solution of many ancient perplexities. * In a perfected science, causal laws will take the form of differential equations or of finite-difference equations, if the theory of quanta should prove correct.
It also resembles a lipoma, especially the congenital variety which grows from the periosteum, and the differential diagnosis between these is rarely completed until the swelling is punctured or explored by operation. If treatment is called for, it is carried out on the same lines as for hæmangioma, by means of electrolysis, igni-puncture, or excision.
College seems small and trivial after you have been in the actual world of affairs. But Tyndall did not give up. He rose every morning at six, took his cold bath, dressed and ran up the hill half a mile and back. He breakfasted with the family, that he might talk German. Then he dived into differential calculus and philosophical abstrusities. He was not sent to college: he went.
Smith," said the reporter of the Mariposa Newspacket, "we'd like to get your views of the effect of the proposed reduction of the differential duties." "By gosh, Pete," said Mr. Smith, "you can search me. Have a cigar." "What do you think, Mr. Smith, would be the result of lowering the ad valorem British preference and admitting American goods at a reciprocal rate?"
Of that freedom the first and foremost point was the true Christian religion and liberty of conscience and opinion. There must be religion in the Republic, he had said, but that the war was carried on to sustain the opinion of one doctor of divinity or another on differential points was something he had never heard of and could never believe.
The differential gave them the same spasms as the negation of the negation gives Herr Duehring and it played a role in it as we shall see. They admitted it at last, at least as many as did not die first, not because they were convinced but because it always worked out right.
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