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He could neither divide nor multiply by fractions, and it is not too much to say that he might have been throttled on the spot if the moonshiners could have had a mental vision of the liberties the stalwart integers were taking with their price-current, so to speak, and the preternatural discount that was making so free with their profits.
Many of the people wandering about, leaning against the bar, or integers of the compact groups around the gambling tables, were dressed in the height of fashion; but, on the other hand, certainly half were in the roughest sort of clothes floppy old slouch hats, worn flannel shirts, top boots to which dried mud was clinging. These men were as well treated as the others.
Hence it follows that there are pairs of integers which never have been and never will be thought of by human beings, and that all of them deal with integers the product of which is over 100.
It is self-evident that the hypocycloid must return into itself at the point of beginning, without crossing: each branch, then, must subtend an aliquot part of the circumference, and can be traced also by another and a smaller describing circle, whose diameter therefore must be an aliquot part of the diameter of the outer pitch-circle; and since this last must be equal to the sum of the diameters of the two describing circles, it follows that the radii of the pitch circles must be to each other in the ratio of two successive integers; and this is also the ratio of the number of pins to that of the epicycloidal branches.
How long could family life persist under these conditions where privacy was almost gone and comfort almost unknown? In the village separate home integers appear ideal; in the city they are possible only to the few. The many, at present, find them a crushing burden. Desirable as privacy is, it can be purchased at too high a price.
About him lay the awful evidences. Coats, caps, weapons, bits of gear, all marked and emphasized with many, many shapeless, ghastly things. Here they lay, these integers of the line, huddled, jumbled. They had all the contortions, all the frozen ultimate agonies left for survivors to see and remember, so that they should no more go to war.
Two apparently animate substances gets off the train, both carrying bags full of croquet mallets and these magic lanterns with pushbuttons. "I compares these integers with the original signatures to the letters and, well, gents, I reckon the mistake was due to my poor eyesight.
"Far be it from me to impugn the religion of that community of which we are ceasing to be integers at the pleasing rate of sixty miles an hour. God knows they need their faith in a different kind of land hereafter!" And even Mrs. Bines was not without a sense of quiet and rest induced by the gentler contours of the landscape through which they now sped.
We know that all pairs of integers the product of which is less than 100 have been actually multiplied together, and the value of the product recorded in the multiplication table. But we also know that the number of integers is infinite, and that only a finite number of pairs of integers ever have been or ever will be thought of by human beings.
Burnham was one of those large, liberal Western husbands who classified his household under the general title of "woman folk," for the integers of which he was not responsible. He hesitated, and then propounded over the balusters to the upper story the direct query "You don't happen to have Nellie Wynn up there, do ye?"