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Then there comes the interference of the schoolmaster, who has his favourite recipe of Latin verses, quadratic equations, and what not, to stuff into every head he can get hold of for a few terms.

Professor Jeans insists that in the equations which reveal the relations between phenomena, there may reside also the revelation of the ultimate which these phenomena express. He believes that there may exist "a great architect of the universe who is a pure mathematician." However, the Martian argues, "Is it not a fact that in your earthly experience, you have created your gods in your own image?

It was discovered that he was less anxious to question his instructor respecting the equations of a degree, or the value of unknown quantities, than to gain all the information he could about the different branches of the administration, and particularly the department of war.

The delicate interactions of the land and sea factors produce conditions too intricate for such blunt solutions. Even the initial equations they present are too complex to be reduced by the simple application of rough-and-ready maxims.

The illustrious commissioners of the prize, Laplace, Lagrange, and Legendre, while acknowledging the novelty and importance of the subject, while declaring that the real differential equations of the propagation of heat were finally found, asserted that they perceived difficulties in the way in which the author arrived at them.

We may, in other words, take one set of observations upon the combined time of the three elements numbered 1, 2, 3; another set upon elements 2, 3, 4; another set upon elements, 3, 4, 1, and still another upon the set 4,1, 2. By algebraic equations we may solve the values of each of the separate elements.

But it is because I feel that engineers of to-day are not satisfied with their position, that I wonder whether we have either fulfilled our obligations to the community, or secured proper recognition from it; whether, in fact, the engineer can become the force that he should be, until he brings something into his equations besides frozen figures, however diverting an occupation this may be.

I had also got through the first six books of Euclid after a fashion, and had advanced as far as quadratic equations in algebra, but had no mathematical talent whatever. My mother would not hear of trade as an occupation for me, and she could not afford to make me a soldier, sailor, doctor, lawyer, or parson.

I doubt whether it were possible to cite a single scientific discovery of any importance which has not excited discussions of priority. The new method of Fourier for solving numerical equations is in this respect amply comprised within the common law.

This stripling, who was at least five years my junior, proposed to me out of sheer gratitude. I actually succeeded in drumming quadratic equations into his stupid head, and he offered me his hand by the way of reward." Grace's sad expression had by this time vanished. She was regarding Emma with a smiling face. "Really and truly, Emma, did that happen to you?"