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Year after year, the wild animals with which man never interferes are, on the average, neither more nor less numerous than they were; and yet we know that the annual produce of every pair is from one to perhaps a million young, so that it is mathematically certain that, on the average, as many are killed by natural causes as are born every year, and those only escape which happen to be a little better fitted to resist destruction than those which die.
After these observations, which close our meditation on statistics, we are entitled to cut out of this number one hundred thousand individuals; consequently we can consider it to be proven mathematically that there exist in France no more than four hundred thousand women who can furnish to men of refinement the exquisite and exalted enjoyments which they look for in love.
Where are you going? where have you been?" he said in his soft, low-pitched, lisping voice, with the provincial accent struggling through its patent affectation. "I am going to the yew tree and I have been to Steel's Corner," she answered slowly, in her odd, almost mathematically exact manner of reply. "From Steel's Corner! And how is that excellent young man, our deputy shepherd?" he asked.
It was never known to do a turn of work not legitimately its own, though mathematically exact in its proper office. But after I came here with my sister, a helpless cripple, we found out that the mathematical machine was a man, with a soft, beating heart. He was called upon to lift me from the carriage, and he did it as tenderly as a woman.
"I shall only use my chronometer," replied Captain Nemo. "If to-morrow, the 21st of March, the disc of the sun, allowing for refraction, is exactly cut by the northern horizon, it will show that I am at the South Pole." "Just so," said I. "But this statement is not mathematically correct, because the equinox does not necessarily begin at noon."
If any one could have shown him mathematically that this action or the other would gain or lose him exactly so many votes, his course would have been clear, but his own advisers were uncertain about the matter. A mistake in a little thing like this might easily lose him the election.
Your battery is always hidden and out of sight, for fear the enemy should see the flash of the firing; consequently the officer in charge of the battery lays the guns mathematically, but cannot observe the effect of his shots. The officer who goes forward can see the target; by telephoning back his corrections, he makes himself the eyes of the officer at the guns.
Some of them have been more or less fully worked out, while in certain instances all that has been done is to show that they are mathematically conceivable. Among these there is one which in all its characteristics is polarically opposite to the Euclidean system, and which is destined for this reason to become the space-system of levity.
He'd dabbled with ESP mathematically, but now he found himself wondering if it could exist. Could they be tracking him by some natural or mechanical ability to read his mind? He strained his own mind to find a whisper of foreign thought, outside his brain. He drew a blank, of course, as he'd expected. There were no answers.
Those who are mathematically inclined will recognize here that I have differentiated the curve representing the slope of the bill, and laid the differential curve down in plan. Having wandered off my subject, I must return to more mechanical things, and give the results of some experiments which I have made on the balls of ball bearings.
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