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Topology, 1981 §l. INTRODUCTION THE CLASSICAL Alexander polynomial[l] A(x) = A&) of a knot or link K C S3 is an invariant of ambient isotopy that is well-defined up to sign and multiplication by powers of the variable x. The Conway polynomial V(z) = V,(z) is a direct invariant of ambient isotopy.
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Discrete Mathematics, 1988 This important paper generalizes techniques from association schemes and spherical designs to study finite subsets of polynomials spaces. A polynomial space is a set \(\Omega\) with a function \(\rho: \Omega\times\Omega\to {\mathbf R}\) with \(\rho(x,x)=r>0\), \(\rho(x,y)=\rho(y,x)
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Improved polynomial remainder sequences for ore polynomials [PDF]
ACM Communications in Computer Algebra, 2013 Polynomial remainder sequences contain the intermediate results of the Euclidean algorithm when applied to (non-)commutative polynomials. The running time of the algorithm is dependent on the size of the coefficients of the remainders. Different ways have been studied to make these as small as possible. The subresultant sequence of two polynomials is a
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Jacobi polynomials as generalized Faber polynomials [PDF]
Transactions of the American Mathematical Society, 1990 Let B {\mathbf {B}}
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Spectral-factorisation Root-MUSIC algorithm for super-resolution ISAR imaging
The Journal of Engineering, 2019 Inverse synthetic aperture radar (ISAR) is widely used in both military and civil fields recently. The fast Fourier transformation is the conventional method to obtain high-resolution ISAR images, but it is Rayleigh limited and has high sidelobes.
Qiuchen Liu, Yong Wang
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The Relationship Between Semiclassical Laguerre Polynomials and the Fourth Painlevé Equation [PDF]
, 2013 We discuss the relationship between the recurrence coefficients of orthogonal polynomials with respect to a semiclassical Laguerre weight and classical solutions of the fourth Painlevé equation. We show that the coefficients in these recurrence relations
Clarkson, Peter +3 more
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Integrality and rigidity for postcritically finite polynomials [PDF]
, 2011 We give an arithmetic proof of rigidity for postcritically finite polynomials of prime power ...
Adam Epstein, Epstein, Adam L.
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Asymptotically extremal polynomials with respect to varying weights and application to Sobolev orthogonality [PDF]
, 2008 9 pages, no figures.-- MSC2000 code: 33C45.MR#: MR2431543 (2009g:41009)Zbl#: Zbl 1155.33006We study the asymptotic behavior of the zeros of a sequence of polynomials whose weighted norms, with respect to a sequence of weight functions, have the same $n ...
Díaz Mendoza, Carlos J. +3 more
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On Even 2n-Unitary Perfect Polynomials over
AppliedMathLet k be a positive integer. A polynomial A∈F2[x] is called k-unitary perfectif the sum of the k-th powers of its distinct unitary divisors equals Ak.
Wiam Zeid +3 more
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A low-cost spatial tool for transforming feature positions of CAD-based topographic mapping
Geodesy and Cartography, 2019 In fact, Computer Aided Design (CAD) offers powerful design tools to produce digital large scale topographic mapping that is considered the backbone for construction projects, urban planning and landscape architecture.
Maan Habib +2 more
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