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The repeating sequence of digits is called "repetend" which has a certain length greater than 0, also called "period". [5] In base 10, a fraction has a repeating decimal if and only if in lowest terms, its denominator has any prime factors besides 2 or 5, or in other words, cannot be expressed as 2 m 5 n, where m and n are non-negative integers.
All square triangular numbers have the form , where is a convergent to the continued fraction expansion of , the square root of 2. [ 4 ] A. V. Sylwester gave a short proof that there are infinitely many square triangular numbers: If the n {\displaystyle n} th triangular number n ( n + 1 ) 2 {\displaystyle {\tfrac {n(n+1)}{2}}} is square, then ...
A change in birefringence alters the polarization and thereby the fraction of light that is transmitted through the second polarizer. In the more general case of trirefringent materials described by the field of crystal optics, the dielectric constant is a rank-2 tensor (a 3 by 3 matrix). In this case the propagation of light cannot simply be ...
Dante describes the ninth and tenth bolgias in the Eighth Circle of Hell as being twenty-two miles and eleven miles respectively, [308] which correspond to the fraction 22 / 7 , which was the Pythagorean approximation of pi. [308] The Transcendentalists read the ancient Lives of Pythagoras as guides on how to live a model life. [309]
1p36 deletion syndrome is a congenital genetic disorder characterized by moderate to severe intellectual disability, delayed growth, hypotonia, seizures, limited speech ability, malformations, hearing and vision impairment, and distinct facial features.
61-K at IDF/AF Museum, Chatzerim airbase, Israel 61-K of the Soviet 210th Guards Anti-Aircraft Artillery Regiment PVO in Crimea, May 1944 The 37 mm automatic air defense gun M1939 (61-K) (Russian: 37-мм автоматическая зенитная пушка образца 1939 года (61-К)) is a Soviet 37 mm calibre anti-aircraft gun developed during the late 1930s and used during ...
For example: A $40 Lay Bet on the 4 would pay $20 on a win. The 5% vig would be $1 based on the $20 win. (not $2 based on the $40 bet as the way buy bet commissions are figured.) Like the buy bet the commission is adjusted to suit the betting unit such that fraction of a dollar payouts are not needed.
The Chipmunks' new school year starts, and Alvin immediately develops a crush on the new principal. However, to get past the principal's assistant, who is none other than Brittany,the leader of the Chipettes, Alvin misbehaves on purpose and throws his classes into chaos in order to get summoned to her office.