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Updated: June 7, 2025
In case Cowans shares K.'s suspicions about my sneaking desire for Ellison, I say, "I assure you; most solemnly I assure you, that the personal equation does not, even in the vaguest fashion, enter into my thoughts.
It is an established conviction of the mathematical scientist that, once an observed regularity in nature has been expressed as a mathematical equation, this equation may be transformed in any mathematically valid way, and the resulting formula will still apply to some existing fact in the world.
But the figures were not in his head. They were on reference sheets. He collected the data on the fly, slowing down now and then to read something, until a yell from Santos or Koa warned that the sun line was creeping close. When he had all data noted on the board, he started his mathematics. He was right in the middle of a laborious equation when he stumbled over a thorium crystal.
A note of Peirce's, for example, in the number for February, proposes two new symbols, one for the mystic ratio of the circumference to the diameter, a second for the base of Napier's logarithms, and then, by joining them in an equation with the imaginary symbol, expresses in a single sentence the mutual relation of the three great talismans in the magic of modern science.
The others nearby were busy doing the same thing, but few of them set about it with the air of cocky jauntiness that Hawkes wore. Finally he stared at the board in satisfaction and sat back. The croupier pounded three times with a little gavel and said, "103 sub-prime 5." Hastily Hawkes made a correction in his equation.
Richard Armour was a sensible man; but when one morning he suddenly packed a portmanteau and went up to town to Cavendish Square, the act might be considered from two sides of the equation.
For our point, indeed, the matter is of little importance, since the equation of the fermentation does not concern us.
The most interesting factor in the instinct equation is the endocrine, because that is the one that is most purely chemical. The position of the wish in psychology as the force within and behind the instinct may be compared to that of energy in physics, when it was elevated to a central position in the explanation of physical processes in the nineteenth century.
Under a right system of economy, there is then an equation between production and consumption. These points established, let us suppose a community of one thousand families, enclosed in a territory of a given circumference, and deprived of foreign intercourse. Let this community represent the human race, which, scattered over the face of the earth, is really isolated.
Copernicus could not sever himself from this obnoxious tradition. It is true that neither the Pythagorean nor the Egypto-Tychonic system required epicycles for explaining retrograde motion, as the Ptolemaic theory did. Furthermore, either system could use the excentric of Hipparchus to explain the irregular motion known as the equation of the centre.
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