Finding Real Roots of Polynomials Using Sturm Sequences
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DOI: 10.1080/10511970.2018.1501626
Abstract: Abstract Following a line of inquiry regarding the exact number of real roots of a real polynomial, this investigation considers: Descartes’ Rule of Signs, the Budan–Fourier Theorem, and versions of Sturm’s Method in contrast with… read more here.
Keywords: polynomials using; roots polynomials; sturm sequences; finding real ... See more keywords
On the Study of Trigonometric Polynomials Using Strum Sequence
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DOI: 10.1155/2020/7068176
Abstract: This article constructs trigonometric polynomials of the sine and cosine whose sums are nonnegative. As an application, those nonnegative trigonometric sums are used to study the geometric properties of complex polynomials in the unit disk.… read more here.
Keywords: strum sequence; study trigonometric; polynomials using; trigonometric polynomials ... See more keywords
Generating integer polynomials from X 2 and X 3 using function composition: a study of subnearrings of (ℤ[X], +, ◦)
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DOI: 10.2989/16073606.2020.1744768
Abstract: Abstract Which integer polynomials can we write down if the only exponent to be used is 3? Such problems can be considered as instances of the subnearring generation problem. We show that the nearring (ℤ[x],… read more here.
Keywords: generating integer; polynomials using; integer polynomials; integer ... See more keywords
Construction of Permutation Polynomials Using Additive and Multiplicative Characters
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DOI: 10.3390/sym14081539
Abstract: Permutation is a natural phenomenon useful for understanding and explaining the structural and functional behavior of objects or concepts. The mathematical formulation of permutation behavior can be readily achieved by permutation polynomials. Permutation polynomials are… read more here.
Keywords: permutation polynomials; construction permutation; using additive; polynomials using ... See more keywords