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This thread is now for programmers. Computer (italicized) programmers. (1)
Within narrow limits with a filename like *ChessboardMath7*. Real
numbers are scientifically definitional, whereas floating point are
heuristic only. (2) Within programs, use a lot of // and /*  */,
because most of what is said is ignored anyway, and what is not said is
forgotten. (3) Programming CVs is like this. Take a perfectly good
sentence: A QUICK BROWN FOX JUMPED OVER THE LAZY DOGS. It's conveniently
I.T. because of having every letter, with only 9 doubles making 35 letters. Erroneously it often goes to length 34 only as ''dog'' not dogs, but then there is no ''s''. So dogs it is.  How about 'sgod yzal eht revo
depmuj xof nworb kciuq a'? That's like one necessary
Carrera-Bird-Capablanca-Trice-Duniho array of the original. Think of
several effective ways (you have to be immersed in it) to code for that
backwards array, and other permutations too, using any tools of the trade, string, character array, loops, sorting, what return values, the whole gamut of specialization, functions neat and tidy. Next, abcdefghijklmnopqrstuvwxyz (white space) adeeoooru. It packs the same wallop on CPU as aqbfjotld, and the letters are just straightened out. Yet Argentinan Jorge Luis Borges found Lasswitz's Universal Library, cataloguing every possible permutation of every concatenation of words, in each and all languages ever to be spoken and written, to be essentially useless, because most volumes are mumbo jumbo, and folio of Shakespeare, or poem of Borges, rarely produced randomly. (4) Now try 'A quick brown OX jumped over the lazy FROGS. /*watch case sensitivity*/ It's catchier because fox and dog are really the same thing, in the new mathematical biology -- like all we primates down to the hairless seven billion ones -- that computer experts tend to be totally ignorant of, separate from nature. All 26 letters are still used with OX FROGS instead of FOX DOGS because 'd' was already a double letter, and the string is still 35 letters, so no need for drudgeried secretarial maintenance by the poor programmer. The four, Fox, Dogs, Ox, Frogs are the variant chess **pieces** substituted and should already be familiar to CVers. As many piece-types as we want, forever and evermore, and when running out of
characters, if computer is holding 128, start using words, and if they run
out someday, call up numeric variables to hold them all, each one very
so slightly altering the original inventors' intentions back there and then at India year 600. Evolution, in contradistinction to devolution.