Results 81 to 90 of about 5,932 (309)
Zeros of quaternion polynomials
Applied Mathematics Letters, 2001 For each \(q \in \mathbb H\) let \([q]\) be the equivalence class of all elements \(q'\) having the form \(xqx^{-1}\) with some \(x \in \mathbb H\). Then the authors show that for a quaternionic polynomial of the form \(f(x) = (x - x_1)\dots (x - x_n)\) the subset \(\text{zero}(f) \cap [x_r]\) is nonempty for each \(r\).
Rogério Pedro Serôdio, Lok-Shun Siu
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On the Zeros of Plane Partition Polynomials [PDF]
The Electronic Journal of Combinatorics, 2012 Let $PL(n)$ be the number of all plane partitions of $n$ while $pp_k(n)$ be the number of plane partitions of $n$ whose trace is exactly $k$. We study the zeros of polynomial versions $Q_n(x)$ of plane partitions where $Q_n(x) = \sum pp_k(n) x^k$. Based on the asymptotics we have developed for $Q_n(x)$ and computational evidence, we determine the ...
Robert P. Boyer, Daniel T. Parry
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Advanced Materials, EarlyView.Anion‐exchange doping of conjugated polymers is an effective way to achieve high conductivities. Here, we report over 2000 S cm−1 electrical conductivity for doped P(g3BTTT). In addition, we show that P(g3BTTT) sustains exceptionally high doping levels without any drop in the charge mobility.
Basil Hunger +14 more
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THE REAL-ZEROS OF JONES POLYNOMIAL OF TORUS [PDF]
, 2020 . This article proved two theorems and presented one conjecture about the real-zeros of Jones Polynomial of Torus. The distribution of zeros of Jones Polynomial is an interesting topic in knots theory of math and physics.
Chang Li
core
Covariance of the number of real zeros of a random trigonometric polynomial
International Journal of Mathematics and Mathematical Sciences, 2006 For random coefficients aj and bj we consider a random trigonometric polynomial defined as Tn(θ)=∑j=0n{ajcosjθ+bjsinjθ}. The expected number of real zeros of Tn(θ) in the interval (0,2π) can be easily obtained. In this note we show that this number is
K. Farahmand, M. Sambandham
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Switchable Magnonic Crystals Based on Spin Crossover/CrSBr Heterostructures
Advanced Materials, EarlyView.Multiscale modeling is employed to investigate the functionality of a light‐controlled, tunable magnonic crystal based on spin‐crossover Fe‐pz molecules integrated with a monolayer of CrSBr. Ab initio simulations confirm that the molecules remain functional on the CrSBr surface, while a semiclassical elastic model demonstrates that light‐induced ...
Andrei Shumilin +4 more
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Lifting/Descending Processes for Polynomial Zeros [PDF]
, 1998 The recently proposed Chebyshev-like lifting map for the zeros of a univariate polynomial was motivated by its applications to splitting a univariate polynomial p(x) numerically into factors, which is a major step of some most effective algorithms for ...
Victor Y. Pan, Bernard Mourrain
core
Algebraic complexity of computing polynomial zeros [PDF]
, 1987 Using the power sum techniques of Turan, we evaluate all the complex zeros of an nth degree univariate polynomial with relative errors ⩽ ϵ using O(n2 log n (n log n + log(1/ϵ))) arithmetic operations. O(n log n log(1/ϵ)) operations suffice to approximate
Pan, V.
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Polynomials with Symmetric Zeros
, 2019 Polynomials whose zeros are symmetric either to the real line or to the unit circle are very important in mathematics and physics. We can classify them into three main classes: the self-conjugate polynomials, whose zeros are symmetric to the real line; the self-inversive polynomials, whose zeros are symmetric to the unit circle; and the self-reciprocal
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Space‐Time Coding Conformal Metasurfaces for Multifrequency Beam Steering and Shaping
Advanced Materials, EarlyView.Space‐time coding conformal metasurfaces enable dynamic wave control on curved surfaces by combining programmable spatial patterns with temporal modulation. This study shows that a single conformal aperture can independently manipulate multiple frequency components, achieving multifunctional beam shaping and steering, with implications for ...
Filippo Pepe +8 more
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