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sunglasshut .com. Sunglass Hut is an international retailer of sunglasses and sunglass accessories founded in Miami, Florida, United States, in 1971. Sunglass Hut is part of the Italian-based Luxottica Group, the world’s largest eyewear company. As of December 31, 2008, the Luxottica Group operated 2,286 stores around the world, most of those ...
for every r = 1, 2, ..., m. The values x r = x 1, x 2, ..., x m are distinct numbers in the interval 0 < x r < π / 2. Since the function cot 2 x is one-to-one on this interval, the numbers t r = cot 2 x r are distinct for r = 1, 2, ..., m. By the above equation, these m numbers are the roots of the m th degree polynomial
The idea becomes clearer by considering the general series 1 − 2x + 3x 2 − 4x 3 + 5x 4 − 6x 5 + &c. that arises while expanding the expression 1 ⁄ (1+x) 2, which this series is indeed equal to after we set x = 1.
The splitting field of x2 + 1 over F7 is F49; the polynomial has no roots in F7, i.e., −1 is not a square there, because 7 is not congruent to 1 modulo 4. [3] The splitting field of x2 − 1 over F7 is F7 since x2 − 1 = ( x + 1) ( x − 1) already splits into linear factors. We calculate the splitting field of f ( x) = x3 + x + 1 over F2.
Binary logarithm. Graph of log2 x as a function of a positive real number x. In mathematics, the binary logarithm ( log2 n) is the power to which the number 2 must be raised to obtain the value n. That is, for any real number x , For example, the binary logarithm of 1 is 0, the binary logarithm of 2 is 1, the binary logarithm of 4 is 2, and the ...
GF (2) GF (2) (also denoted , Z/2Z or ) is the finite field with two elements [1] (GF is the initialism of Galois field, another name for finite fields). Notations Z2 and may be encountered although they can be confused with the notation of 2 -adic integers . GF (2) is the field with the smallest possible number of elements, and is unique if ...
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