Results 81 to 90 of about 3,572,424 (305)
Generalized Chebyshev Polynomials
Discussiones Mathematicae - General Algebra and Applications, 2018 Let h(x) be a non constant polynomial with rational coefficients. Our aim is to introduce the h(x)-Chebyshev polynomials of the first and second kind Tn and Un. We show that they are in a ℚ-vectorial subspace En(x) of ℚ[x] of dimension n.
Abchiche Mourad, Belbachir Hacéne
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Constant congestion linkages in polynomially strong digraphs in polynomial time
Discrete MathematicsGiven integers $k,c > 0$, we say that a digraph $D$ is $(k,c)$-linked if for every pair of ordered sets $\{s_1, \ldots, s_k\}$ and $\{t_1, \ldots, t_k\}$ of vertices of $D$, there are $P_1, \ldots, P_k$ such that for $i \in [k]$ each $P_i$ is a path from $s_i$ to $t_i$ and every vertex of $D$ appears in at most $c$ of those paths.
Raul Lopes, Ignasi Sau
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Universal Conductance Fluctuations in Quantum Anomalous Hall Insulators
Advanced Materials, EarlyView.Universal conductance fluctuations are observed in mesoscopic quantum anomalous Hall insulators. Two distinct fluctuation patterns are identified, arising from different interference processes of bulk and chiral edge states, respectively. These findings unveil rich quantum interference phenomena in quantum anomalous Hall insulators and provide insights
Peng Deng +11 more
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Model Order Selection From Noisy Polynomial Data Without Using Any Polynomial Coefficients
IEEE Access, 2020 Given a set of noisy data values from a polynomial, determining the degree and coefficients of the polynomial is a problem of polynomial regressions. Polynomial regressions are very common in engineering, science, and other disciplines, and it is at the ...
Asoke K. Nandi
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Orthogonal Dirichlet polynomials with constant weight
Applicable Analysis and Discrete Mathematics, 2019 Let {?j}? j=1 be a sequence of distinct positive numbers. We analyze the orthogonal Dirichlet polynomials {?n,T} formed from linear combinations of {?-it,j}n j=1 , associated with constant (or Legendre) weight on [-T, T]. Thus 1/2T ? T,-T ?n,T (t) ?m,T(t)dt = ?mn. Moreover, we analyze how these polynomials behave as T varies.
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Constant-Size Commitments to Polynomials and Their Applications [PDF]
, 2010 We introduce and formally define polynomial commitment schemes, and provide two efficient constructions. A polynomial commitment scheme allows a committer to commit to a polynomial with a short string that can be used by a verifier to confirm claimed evaluations of the committed polynomial.
Kate, A., Zaverucha, G., Goldberg, I.
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Triggered Ferroelectricity in HfO2 From Hybrid Phonons and Higher‐Order Dynamical Charges
Advanced Materials, EarlyView.We combine first‐principles calculations, LGD theory and group theory to demonstrate the mechanism of hybrid‐triggered ferroelectricity in HfO2${\rm HfO}_2$, enabled by trilinear and quadlinear couplings between stable polar and nonpolar modes. HfO2${\rm HfO}_2$ hosts unconventional interplay between structure modes where substantial contribution to ...
Seongjoo Jung, Turan Birol
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Algebraic derivations with constants satisfying a polynomial identity
Israel Journal of Mathematics, 2003 The authors continue the line of investigation started by \textit{I. N. Herstein} and \textit{L. Neumann} [Ann. Mat. Pura Appl., IV. Ser. 102, 37-44 (1975; Zbl 0302.16020)]. The philosophy is that if \(R\) is a unitary algebra over a commutative ring \(C\) and \(b\in R\) is integral over \(C\), then the centralizer \(C_R(b)\) is large enough in the ...
Chuang, C. L., Lee, T. K.
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Humid‐Air Condensation Heat Transfer on Hierarchical Structured Superhydrophobic Graphite Composites
Advanced Materials Interfaces, EarlyView.Humid‐air condensation on graphite composites shows that making a surface superhydrophobic is not sufficient to enhance heat transfer. A hierarchical CuO/lauric‐acid coating yields spherical droplets but promotes Wenzel‐type pinning and adds effective thermal resistance under operation.
Raphael Raab +7 more
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Images of polynomial maps with constants
MathematikaAbstractLet be the matrix algebra over and be the invertible elements in . Inspired by Kaplansky–Lv́ov conjecture, we explore the image of polynomials with constants, namely polynomials from the free algebra . In this article, we compute the images of the polynomial maps given by (a) generalized sum of powers and (b) generalized commutator map ...
Saikat Panja, Prachi Saini, Anupam Singh
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