Algebraic equations with span less than $4$
نویسندگان
چکیده
منابع مشابه
Black Hole Configurations with Total Entropy Less than A/4
If one surrounds a black hole with a perfectly reflecting shell and adia-batically squeezes the shell inward, one can increase the black hole area A to exceed four times the total entropy S, which stays fixed during the process. A can be made to exceed 4S by a factor of order unity before the one enters the Planck regime where the semiclassical approximation breaks down. One interpretation is t...
متن کاملBlack Holes with Less Entropy than A/4
One can increase one-quarter the area of a black hole, A/4, to exceed the total thermodynamic entropy, S, by surrounding the hole with a perfectly reflecting shell and adiabatically squeezing it inward. A/4 can be made to exceed S by a factor of order unity before the shell enters the Planck regime, though practical limitations are much more restrictive. One interpretation is that the black hol...
متن کاملBlack Holes with Less Entropy than A/4
One can increase one-quarter the area of a black hole, A/4, to exceed the total thermodynamic entropy, S, by surrounding the hole with a perfectly reflecting shell and adiabatically squeezing it inward. A/4 can be made to exceed S by a factor of order unity before the shell enters the Planck regime, though practical limitations are much more restrictive. One interpretation is that the black hol...
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As with the scalar case, the equation is satisfied only at selected values of x = r = [r1, r2, · · · , rn], called the roots. The separation process model discussed in section §1.3.1 (variations 2 and 3, in particular) and the reaction sequence model of section §1.3.5 are two of the many examples in chemical engineering that give rise to such non-linear system of equations. As with the scalar c...
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In this paper, we explicitly construct a large class of symmetric Boolean functions on 2k variables with algebraic immunity not less than d, where integer k is given arbitrarily and d is a given suffix of k in binary representation. If let d = k, our constructed functions achieve the maximum algebraic immunity. Remarkably, 22 k⌋+2 symmetric Boolean functions on 2k variables with maximum algebra...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1964
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-1964-0169374-x