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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 2n, so that
Napier relies on several insights to compute his table of logarithms. To achieve high accuracy he starts with a large base of 10,000,000. But he then gets additional precision by using decimal fractions in a notation that he invented, but now universally familiar, namely using a decimal point. He goes on to explain how his notation works with ...
Grade of service is the probability of a call in a circuit group being blocked or delayed for more than a specified interval, expressed as a vulgar fraction or decimal fraction. This is always with reference to the busy hour when the traffic intensity is the greatest. Grade of service may be viewed independently from the perspective of incoming ...
The California Job Case was a compartmentalized box for printing in the 19th century, sizes corresponding to the commonality of letters. The frequency of letters in text has been studied for use in cryptanalysis, and frequency analysis in particular, dating back to the Arab mathematician al-Kindi (c. AD 801–873 ), who formally developed the method (the ciphers breakable by this technique go ...
In discussing decimal fractions, Struik states that (p. 7): [21] "The introduction of decimal fractions as a common computational practice can be dated back to the Flemish pamphlet De Thiende , published at Leyden in 1585, together with a French translation, La Disme , by the Flemish mathematician Simon Stevin (1548-1620), then settled in the ...
Any such symbol can be called a decimal mark, decimal marker, or decimal sign. Symbol-specific names are also used; decimal point and decimal comma refer to a dot (either baseline or middle ) and comma respectively, when it is used as a decimal separator; these are the usual terms used in English, [ 1 ] [ 2 ] [ 3 ] with the aforementioned ...
That is, fractions aren't difficult to compare if the numerator is 1 (e.g., 1 ⁄ 2 is larger than 1 ⁄ 3, which in turn is larger than 1 ⁄ 4). However, comparisons become more difficult when both numerators and denominators are mixed: 3 ⁄ 4 is larger than 5 ⁄ 7 , which in turn is larger than 2 ⁄ 3 , though this cannot be determined by ...
A British gold sovereign with a face value of £1. Prior to decimalisation on 15 February 1971, £1 was made up of 240 pence.. A non-decimal currency is a currency that has sub-units that are a non-decimal fraction of the main unit, i.e. the number of sub-units in a main unit is not a power of 10.