By Ghora J.K.
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Extra resources for A Central Limit Theorem for the L2 Error of Positive Wavelet Density Estimator
Samuel Johnson was taking this blustery March afternoon. They were going to pin down the fraction hiding behind the mask of \f2 , and they were going to do it before lunch was over. The twins went to the board with blue markers in their hands and, at the suggestion of the oldest girl there, patiently multiplied 14/10 by itself: 196/100, so we were definitely just about finished. While ideas raced around the table about products of two negatives and why not try decimals and whether the final answer's numerator would be even or odd, the twins quietly calculated (142/100)2 and then (141/100)2, with results elating or depressing, depending on your point of view.
How do you know that a different order of removing the faces of a cube will leave V - E + F unchanged? How do you know that—in some other polyhedron—you can always find a removal sequence which would leave V - E + F unchanged? Maybe, even if you were able to flatten out another polyhedron, you might create virtual edges, faces, or vertices, or obscure some of those that were there? And since we already know by simple counting that in a cube, V-E + F = 2, we didn't need this elaborate atomizing for the cube itself; it was meant only to exemplify a general procedure—but in fact it seems to exemplify no such thing.
Best of all, this light governance of our thinking's network lets us become true travelers in it: lost at times, but never at a loss, because we have an underlying sense of our resources, if not of the geography. Fan tastic visions may lead us around, but not astray; gratification, so long delayed, is replaced by the delight of small details. Your attention spans the problem and what you bring to it, as its personality becomes indistinguishable from yours. Putting on Hold One of the charms of reading or listening to German is that a sentence may march positively along only to be brought up short by a "nicht" at the end.