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A repeating decimal or recurring decimal is a decimal representation of a number whose digits are eventually periodic (that is, after some place, the same sequence of digits is repeated forever); if this sequence consists only of zeros (that is if there is only a finite number of nonzero digits), the decimal is said to be terminating, and is not considered as repeating.
Lagrange proved the converse of Euler's theorem: if x is a quadratic irrational, then the regular continued fraction expansion of x is periodic. [4] Given a quadratic irrational x one can construct m different quadratic equations, each with the same discriminant, that relate the successive complete quotients of the regular continued fraction ...
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 ...
The remainder and the unlisted 54.4478% decay with half-lives less than one year into nonradioactive nuclei. This is before accounting for the effects of any subsequent neutron capture; e.g.:
10 h 48 m 12.6 s −11° 20′ 14″ M6.5V [6] 0.08 15.60 17.32 219.3302 ± 0.0602 [8] flare star Gliese 440 (WD 1142-645, LP 145-141)‡ 15.1226 ± 0.0013 Mus* 11 h 45 m 42.9 s −64° 50′ 29″ DQ6 [6] 0.75 11.50 13.18 215.6753 ± 0.0181 [8] GJ 1245: A (G 208-44 A) 15.2001 ± 0.0034 Cyg: 19 h 53 m 54.2 s +44° 24′ 55″ M5.5V [6] 0.11 13. ...
Metric drill set, 1.0–6.0 mm by 0.1 mm, jobber length. The case that holds them in an indexed order (by size), via a graduated series of holes, is called a drill index. Metric drill bit sizes define the diameter of the bit in terms of standard metric lengths.
The usual English proper name for Earth's natural satellite is simply Moon, with a capital M. [19] [20] The noun moon is derived from Old English mōna, which (like all its Germanic cognates) stems from Proto-Germanic *mēnōn, [21] which in turn comes from Proto-Indo-European *mēnsis 'month' [22] (from earlier *mēnōt, genitive *mēneses) which may be related to the verb 'measure' (of time).
A control break is a value change detection method used within ordinary loops to trigger processing for groups of values. Values are monitored within the loop and a change diverts program flow to the handling of the group event associated with them.