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Cyclic Resultants
[article]
2005
arXiv
pre-print
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We characterize polynomials having the same set of nonzero 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. ...
arXiv:math/0401220v3
fatcat:kya5gg4i5veibnraufc6ac5zye
Cyclic resultants
2005
Journal of symbolic computation
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We characterize polynomials having the same set of nonzero 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. ...
doi:10.1016/j.jsc.2005.01.001
fatcat:osxcipynlnhgfphudlu5jrafzq
Polynomial recurrences and cyclic resultants
[article]
2006
arXiv
pre-print
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The m-th 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. ...
arXiv:math/0411414v4
fatcat:o2lzlj23nreanbcc6uzhvetq64
A classification result and contact structures in oriented cyclic orbifold
[article]
2015
arXiv
pre-print
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In course of proving the above 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. ...
arXiv:1503.05645v7
fatcat:zizpj3alezgu3fgf625qq5sfdu
Exceptional units and cyclic resultants
2012
Acta Arithmetica
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Hillar and Levine [8] proved that a generic monic polynomial f is determined by its first 2 d+1 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. ...
doi:10.4064/aa155-4-5
fatcat:vxnws7ne3jb5pgkzfyhkkwg4ze
Polynomial recurrences and cyclic resultants
2006
Proceedings of the American Mathematical Society
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The m-th 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. ...
doi:10.1090/s0002-9939-06-08672-2
fatcat:navbx5cxjfemddbjeq4zd3wfsq
CYCLICALLY PRESENTED GROUPS AND RESULTANTS
2010
International journal of algebra and computation
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The following corollary to the 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 . ...
doi:10.1142/s0218196710005777
fatcat:fsr6yktaj5gczgmiaxtmfywrri
Planck 2013 results support the cyclic universe
2013
Physical Review D
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We show that 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 ...
doi:10.1103/physrevd.87.123533
fatcat:vllunuhyerfldpo3ewhpueeahy
Some results on quasi-cyclic codes
1969
Information and Control
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The last 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. ...
doi:10.1016/s0019-9958(69)90497-5
fatcat:t7ljngviirhdffcw3ez72wpyga
Results On Cyclic Signal Processing Systems
1998
Zenodo
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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. ...
doi:10.5281/zenodo.36884
fatcat:6jz7jrausjgwzb6syjxcjzhnri
Exact results on linear response of cyclic molecular aggregates
[article]
1995
arXiv
pre-print
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The exact 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. ...
arXiv:cond-mat/9509040v2
fatcat:r56dsp6thrftjakkwhg74o4vbe
Some Results on Cyclic Interval Edge Colorings of Graphs
[article]
2017
arXiv
pre-print
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Some 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. ...
arXiv:1606.09389v2
fatcat:a5pjmipz2zft3kdh4iwvuknque
New cyclic voltammetry method for examining phase transitions: Simulated results
2007
Journal of Electroanalytical Chemistry
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We propose a new experimental technique for 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. ...
doi:10.1016/j.jelechem.2006.10.037
fatcat:4e4hg4znonadlf5wefaxbjl7ke
Further results on the global cyclicity index of graphs
[article]
2013
arXiv
pre-print
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In this paper, by utilizing techniques from graph theory, electrical network theory and real analysis, we obtain some further 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 . ...
arXiv:1303.0369v1
fatcat:dg4pvgplbjeqlie2aeriyqa5ii
A Further Result on the Cyclic Subspace
2014
Advances in Linear Algebra and Matrix Theory
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By this 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. ...
doi:10.4236/alamt.2014.42007
fatcat:mvuwsuftw5aa5ngb7kajy2dwfm
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