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Cyclic Resultants
[article]

2005
*
arXiv
*
pre-print

We characterize polynomials having the same set of nonzero

arXiv:math/0401220v3
fatcat:kya5gg4i5veibnraufc6ac5zye
*cyclic**resultants*. ... Finally, we discuss how our*results*yield algorithms for explicit reconstruction of polynomials from their*cyclic**resultants*. ...*Cyclic**Resultants*and Rational Functions We begin with some preliminaries concerning*cyclic**resultants*. ...##
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Cyclic resultants

2005
*
Journal of symbolic computation
*

We characterize polynomials having the same set of nonzero

doi:10.1016/j.jsc.2005.01.001
fatcat:osxcipynlnhgfphudlu5jrafzq
*cyclic**resultants*. ... Finally, we discuss how our*results*yield algorithms for explicit reconstruction of polynomials from their*cyclic**resultants*. ...*Cyclic**resultants*and rational functions We begin with some preliminaries concerning*cyclic**resultants*. ...##
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Polynomial recurrences and cyclic resultants
[article]

2006
*
arXiv
*
pre-print

The m-th

arXiv:math/0411414v4
fatcat:o2lzlj23nreanbcc6uzhvetq64
*cyclic**resultant*of f is r_m = Res(f,x^m-1). ... In addition, we show that*cyclic**resultants*satisfy a polynomial recurrence of length d+1. ... The sequence {r n } n≥1 of*cyclic**resultants*of f obeys a polynomial recurrence of length d + 1. ...##
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A classification result and contact structures in oriented cyclic orbifold
[article]

2015
*
arXiv
*
pre-print

In course of proving the above

arXiv:1503.05645v7
fatcat:zizpj3alezgu3fgf625qq5sfdu
*results*we prove a classification*result*for compact oriented*cyclic*-3 orbifolds which has not been seen by us in literature before. ... We prove every oriented compact*cyclic*3-orbifold has a contact structure. ... The*resulting*space has a*cyclic*orbifold structure. 6. Contact orbifold Definition 6.1. ...##
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Exceptional units and cyclic resultants

2012
*
Acta Arithmetica
*

Hillar and Levine [8] proved that a generic monic polynomial f is determined by its first 2 d+1

doi:10.4064/aa155-4-5
fatcat:vxnws7ne3jb5pgkzfyhkkwg4ze
*cyclic**resultants*and conjectured that the first d + 1*cyclic**resultants*suffice to determine f. ... Hillar [7] , and later Bézivin [2, 3] , studied the general case and characterized polynomials f and g in C[x] which generate the same sequence of non-zero*cyclic**resultants*. ...##
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Polynomial recurrences and cyclic resultants

2006
*
Proceedings of the American Mathematical Society
*

The m-th

doi:10.1090/s0002-9939-06-08672-2
fatcat:navbx5cxjfemddbjeq4zd3wfsq
*cyclic**resultant*of f is A generic monic polynomial is determined by its full sequence of*cyclic**resultants*; however, the known techniques proving this*result*give no effective computational bounds ... In addition, we show that*cyclic**resultants*satisfy a polynomial recurrence of length d + 1. ... The sequence {r n } n≥1 of*cyclic**resultants*of f obeys a polynomial recurrence of length d + 1. ...##
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CYCLICALLY PRESENTED GROUPS AND RESULTANTS

2010
*
International journal of algebra and computation
*

The following corollary to the

doi:10.1142/s0218196710005777
fatcat:fsr6yktaj5gczgmiaxtmfywrri
*results*of*Cyclically*Presented Groups and*Resultants*419 Sec. 3 confirms this for l ≤ 15 and 6 ≤ n ≤ 100. ... Now the automorphism θ of F n defined above induces an automorphism of G n (w), and the*resulting*split extension H n (w), of G n (w) by the*cyclic*group of order n, has a presentation H n (w) = x, t | ... The*results*are given in Table 4 . ...##
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Planck 2013 results support the cyclic universe

2013
*
Physical Review D
*

We show that

doi:10.1103/physrevd.87.123533
fatcat:vllunuhyerfldpo3ewhpueeahy
*results*from the Planck satellite reported in 2013 are consistent with the simplest*cyclic*models for natural parameter ranges i.e., order unity dimensionless coefficients, assuming the standard ... With improved precision, forthcoming*results*from Planck and other experiments should be able to test the parameter ranges by confirming or refuting the core predictions - i.e., no observable primordial ... LD14438 R E V I E W C O P Y N O T F O R D I S T R I B U T I O N Planck2013*results*support the*cyclic*universe The recent*results*by the Planck satellite have been presented as supporting the predictions ...##
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Some results on quasi-cyclic codes

1969
*
Information and Control
*

The last

doi:10.1016/s0019-9958(69)90497-5
fatcat:t7ljngviirhdffcw3ez72wpyga
*result*is a proof that there exist very long quasicyclic codes which meet the Gilbert bound. ... These quasicyclic codes are closely related in structure to*cyclic*codes although they are not nearly as well understood. ... Many of the more elementary*results*for*cyclic*codes have quasicyclic analogs, and it would appear that several decoding techniques suited to short*cyclic*codes can be used for short quasicyclic codes. ...##
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Results On Cyclic Signal Processing Systems

1998
*
Zenodo
*

*CYCLIC*STATE-SPACE DESCRIPTIONS Consider a

*cyclic*LTI structure with N

*cyclic*delay elements (e.g., N = L − 1 and N = 1 in Figs. 1 and 2, respectively). ... The quantity W k L is interpreted as a unit of "

*cyclic*-delay", and is used in structures representing

*cyclic*systems. ...

##
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Exact results on linear response of cyclic molecular aggregates
[article]

1995
*
arXiv
*
pre-print

The exact

arXiv:cond-mat/9509040v2
fatcat:r56dsp6thrftjakkwhg74o4vbe
*results*for characteristics of the response are obtained. In particular, we calculate time-dependent two-point correlation functions at finite temperature for the*cyclic*1-D XY-model. ... Basing on the picture of Frenkel excitons in molecular crystals described by the XY-model we consider the linear response of linear*cyclic*aggregates at finite temperature. ... The conclusion completes the paper with a discussion of the*resulting*formulae for characteristics of the linear response for the*cyclic*J-aggregates. ...##
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Some Results on Cyclic Interval Edge Colorings of Graphs
[article]

2017
*
arXiv
*
pre-print

Some

arXiv:1606.09389v2
fatcat:a5pjmipz2zft3kdh4iwvuknque
*results*are obtained for (a,b)-biregular graphs, that is, bipartite graphs with the vertices in one part all having degree a and the vertices in the other part all having degree b; it has been conjectured ... that all these have*cyclic*interval colorings. ... The*resulting*coloring is a*cyclic*interval 5-coloring. ...##
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New cyclic voltammetry method for examining phase transitions: Simulated results

2007
*
Journal of Electroanalytical Chemistry
*

We propose a new experimental technique for

doi:10.1016/j.jelechem.2006.10.037
fatcat:4e4hg4znonadlf5wefaxbjl7ke
*cyclic*voltammetry, based on the first-order reversal curve (FORC) method for analysis of systems undergoing hysteresis. ... Experimental data for EC-FORC analysis could easily be obtained by simple reprogramming of a potentiostat designed for conventional*cyclic*-voltammetry experiments. ... The method is thus a simple generalization of the standard*cyclic*voltammetry (CV) method, in which the negative return potential is decreased for each cycle. ...##
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Further results on the global cyclicity index of graphs
[article]

2013
*
arXiv
*
pre-print

In this paper, by utilizing techniques from graph theory, electrical network theory and real analysis, we obtain some further

arXiv:1303.0369v1
fatcat:dg4pvgplbjeqlie2aeriyqa5ii
*results*on this new*cyclicity*measure, including the strictly monotone increasing ... property, some lower and upper bounds, and some Nordhuas-Gaddum-type*results*. ... In this section, we will consider Nordhaus-Gaddum-type*results*for the global*cyclicity*index. There is only one connected graph P 4 on 4 vertices with the connected complement P 4 = P 4 . ...##
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A Further Result on the Cyclic Subspace

2014
*
Advances in Linear Algebra and Matrix Theory
*

By this

doi:10.4236/alamt.2014.42007
fatcat:mvuwsuftw5aa5ngb7kajy2dwfm
*result*, a new approach of proof is found for the fact that a square matrix with only one eigenvalue and one-dimensional eigenspace is similar to a Jordan block matrix. ... Based on the geometric theories of vector space, a Cross-Identity theorem is proved for the relationship between the power kernels and power images of linear map Α Ι − λ on its*cyclic*subspace. ... Now, it is ready to present some further*results*for a*cyclic*space as follows. ...
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