Cyclic polynomial：Cyclic Polynomials
Cyclic Polynomials
Cyclicpolynomialsarepolynomialfunctionsthatareinvariantundercyclicpermutationofthearguments.Thisgivestheminterestingpropertiesthatareusefulinfactorizationandproblemsolving.。其他文章還包含有：「Apolynomial...」、「CyclicandSymmetricPolynomials」、「Cyclicpolynomialsarisingfromthefunctionalequationfor...」、「CyclicPolynomialsinDirichlet」、「Cyclotomicpolynomial」、「FactorizationofCyclicandSy...
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A polynomial...
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A polynomial is called cyclic if after changing all its variables cyclically, the resulting polynomial does not change.
Cyclic and Symmetric Polynomials
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Cyclic polynomials are unchanged by cyclic permutations of their variables, while symmetric polynomials are unchanged by any permutation of their variables. 2.
Cyclic polynomials arising from the functional equation for ...
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In this paper, we study algebraic properties of a family of certain polynomials arising from the functional equation for Dickson polynomials.
Cyclic Polynomials in Dirichlet
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Our purpose is to characterize the polynomials that are cyclic for the shift operators on these spaces in two variables.
Cyclotomic polynomial
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The cyclotomic polynomials are monic polynomials with integer coefficients that are irreducible over the field of the rational numbers.
Factorization of Cyclic and Symmetric polynomials
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Product of cyclic polynomials is cyclic. We therefore need a cyclic polynomial of degree 1. Use the table in 2 above to help. f(2, 1, 0) = (2 – 1)(1 – 0) (0 ...
Factorization of cyclic polynomial
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The method to factor cyclic expressions is to arrange the expression with the highest powers of the first variable.
Structure of the ring of cyclic polynomials
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It may be tempting to conjecture that elementary symmetric polynomials together with the numerator might generate the ring of polynomial invariants.