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For example, in duodecimal, 1 / 2 = 0.6, 1 / 3 = 0.4, 1 / 4 = 0.3 and 1 / 6 = 0.2 all terminate; 1 / 5 = 0. 2497 repeats with period length 4, in contrast with the equivalent decimal expansion of 0.2; 1 / 7 = 0. 186A35 has period 6 in duodecimal, just as it does in decimal. If b is an integer base ...
Repeater (horology) The 13 in (33 cm) watch by Louis Brandt (1892) was the first wristwatch with a minute repeater. The movement was manufactured by Audemars Piguet. A repeater is a complication in a mechanical watch or clock that chimes the hours and often minutes at the press of a button. There are many types of repeater, from the simple ...
"History Repeating" is a 1997 song written by Alex Gifford and originally performed by English electronic music duo Propellerheads featuring Welsh singer Shirley Bassey. It was released shortly before their only album, Decksandrumsandrockandroll , released in 1998 by Wall of Sound in Europe and DreamWorks in the US and Japan . [1]
Syl Apps of the Toronto Maple Leafs after his team won Game 7 of the 1942 Stanley Cup Finals, overcoming a 3–0 series deficit. The following is the list of teams that have overcome 3–0 series deficits in a best-of-seven playoff series, otherwise known as a reverse sweep. The listed teams won four consecutive games after losing the first three.
The reciprocals of prime numbers have been of interest to mathematicians for various reasons. They do not have a finite sum, as Leonhard Euler proved in 1737. Like rational numbers, the reciprocals of primes have repeating decimal representations. In his later years, George Salmon (1819–1904) concerned himself with the repeating periods of ...
Also the converse is true: The decimal expansion of a rational number is either finite, or endlessly repeating. Finite decimal representations can also be seen as a special case of infinite repeating decimal representations. For example, 36 ⁄ 25 = 1.44 = 1.4400000...; the endlessly repeated sequence is the one-digit sequence "0".
Fibonacci sequence. In mathematics, the Fibonacci sequence is a sequence in which each number is the sum of the two preceding ones. Numbers that are part of the Fibonacci sequence are known as Fibonacci numbers, commonly denoted Fn . The sequence commonly starts from 0 and 1, although some authors start the sequence from 1 and 1 or sometimes ...
Midy's theorem. In mathematics, Midy's theorem, named after French mathematician E. Midy, [1] is a statement about the decimal expansion of fractions a / p where p is a prime and a / p has a repeating decimal expansion with an even period (sequence A028416 in the OEIS ). If the period of the decimal representation of a / p is 2 n, so that.
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