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THE ORACLE. No doubt then you wish to know how to extricate yourself from this unfortunate position? NAPOLEON. It is not generally considered unfortunate, madam. Supremely fortunate rather. THE ORACLE. If you think so, go on making them drunk with glory. Why trouble me with their folly and your vectors? NAPOLEON. Unluckily, madam, men are not only heroes: they are also cowards.
Adams enthused. "Fascinating! And, indubitably, supremely important. In fact, it may point out the key datum underlying the solution of our entire problem. If this zeta field is causing this seemingly peculiar biological effect, that gives us a tremendously powerful new tool, for certain time vectors in the generalized matrix become parameters.
He has made very precise quantitative experiments, and has demonstrated, in his turn, that it is impossible, even with spherical waves, to succeed in determining on which of the two vectors which have to be regarded in all theories of light on the subject of polarization phenomena the luminous intensity and the chemical action really depend.
Take this or that term, place the + sign before it and forthwith you have the ellipse, the trajectory of the planets, with its two friendly foci, transmitting pairs of vectors whose sum is constant; substitute the sign and you have the hyperbola with the antagonistic foci, the desperate curve that dives into space with infinite tentacles, approaching nearer and nearer to straight lines, the asymptotes, but never succeeding in meeting them.
"We're going to break contract " he said aloud and that shook the other two, knocked some of their assurance out of them. "How about that?" Rip asked Ali. The acting-engineer nodded. "We have fuel enough to lift from here and maybe set down at Terraport if we take it careful and cut vectors.
I shall only mention the name of that important class of magnitudes having direction in space which Hamilton has called vectors, and which form the subject-matter of the Calculus of Quaternions, a branch of mathematics which, when it shall have been thoroughly understood by men of the illustrative type, and clothed by them with physical imagery, will become, perhaps under some new name, a most powerful method of communicating truly scientific knowledge to persons apparently devoid of the calculating spirit.
The X rays, if they are attributable to sudden variations in the ether that is to say, a variation of the two vectors of Hertz themselves produce within the atom a kind of electric impulse which breaks it into two electrified fragments; i.e. the positive centre, the size of the molecule itself, and the negative centre, constituted by an electron a thousand times smaller.
The attempts of popularizers who endeavour to represent, in all their details, the mechanism of the electric phenomena, thus appear vain enough, and even puerile. It is useless to find out to what material body the ether may be compared, if we content ourselves with seeing in it a medium of which, at every point, two vectors define the properties.
The conic section is submitted to algebra, an obstetrical appliance which brings forth the equation; and behold, entreated now in one direction, now in another, the womb of the formula gives birth to the ellipse, the hyperbola, the parabola, their foci, their radius vectors, their tangents, their normals, their conjugate axes, their asymptotes and the rest.
Can you calculate what the methematicians call vectors, without putting a single algebraic symbol on paper? Can you launch ten thousand men across a frontier and a chain of mountains and know to a mile exactly where they will be at the end of seven weeks? The rest is nothing: I got it all from the books at my military school.
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