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Every positive integer can be expressed as the sum of at most 19 fourth powers; every integer larger than 13792 can be expressed as the sum of at most 16 fourth powers (see Waring's problem). Fermat knew that a fourth power cannot be the sum of two other fourth powers (the n = 4 case of Fermat's Last Theorem; see Fermat's right triangle theorem).
Historically, the concept of a proof and its associated mathematical rigour first appeared in Greek mathematics, most notably in Euclid's Elements. [4] Since its beginning, mathematics was primarily divided into geometry and arithmetic (the manipulation of natural numbers and fractions ), until the 16th and 17th centuries, when algebra [ a ...
The earliest known uniform systems of measurement seem to have all been created sometime in the 4th and 3rd millennia BC among the ancient peoples of Mesopotamia, Egypt and the Indus Valley, and perhaps also Elam in Persia as well. Weights and measures are mentioned in the Bible (Leviticus 19:35–36). It is a commandment to be honest and have ...
Americans are obsessed with a white Christmas and all the trimmings – snow, icicles, sleigh rides, frost on windowpanes, cuddling up by the fire, mittens, the North Pole.
Joseph Edward Corcoran, 49, is set to be executed for the July 26, 1997 murders of his brother, sister's fiancé and two of their friends in Indiana.
Although men had the highest mortality rates overall, women saw the "largest proportional rise," according to the study findings, with deaths going from 4.8 per 100,000 in 1999 to 12 in 2020.
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