Results 71 to 80 of about 5,932 (309)

On the Location of the Zeros of a Polynomial

Journal of Approximation Theory, 1994
It is known [see \textit{S. Kakeya}, Tôhoku Math. J. 2, 140-142 (1912- 1913)] that if \(p(z) = \sum^ n_{\nu = 0} a_ \nu z^ \nu\) is a polynomial of degree \(n\) with real coefficients satisfying ...
Gardner, R.B., Govil, N.K.
openaire   +1 more source

Two‐Photon Grayscale Lithography (2GL) of High Mechanical and Optical Quality 3D Silica Glass Microstructures

Advanced Functional Materials, EarlyView.
Two‐photon grayscale lithography (2GL) enables high‐speed and precise 3D printing of thermolyzed silica glass microstructures with optical‐grade surface quality, high quality factors, and mechanical strength utilizing a custom‐made pre‐glass resist based on polyhedral oligomeric silsesquioxane (POSS) modified with a high‐sensitivity Norrish type II ...
Jonathan L. G. Schneider, Jiajie Liang, Paul Somers, Martin Wegener, Jens Bauer   +4 more
wiley   +1 more source

Chromatic roots are dense in the whole complex plane [PDF]

, 2004
I show that the zeros of the chromatic polynomials P-G(q) for the generalized theta graphs Theta((s.p)) are taken together, dense in the whole complex plane with the possible exception of the disc \q - l\ < l.
Sokal, AD
core  

Polynomial automata: Zeroness and applications [PDF]

2017 32nd Annual ACM/IEEE Symposium on Logic in Computer Science (LICS), 2017
We introduce a generalisation of weighted automata over a field, called polynomial automata, and we analyse the complexity of the Zeroness Problem in this model, that is, whether a given automaton outputs zero on all words. While this problem is non-primitive recursive in general, we highlight a subclass of polynomial automata for which the Zeroness ...
Michael Benedikt, Timothy Duff, Aditya Sharad, James Worrell 0001   +3 more
openaire   +2 more sources

A Thermodynamic Model of Antiferroelectics and Its Application to Electric Field Induced Antiferroelectric‐Ferroelectric Transition in PbZrO3

Advanced Functional Materials, EarlyView.
A thermodynamic model that incorporates ferroelectric, antiferroelectric, and antiferrodistortive orders of PbZrO3${\rm PbZrO}_3$ is established and parameterized based on experimental measurements and first‐principles calculations. We derive a Clapeyron‐like equation for describing the temperature‐dependence of critical electric fields for the ...
Zhiyang Wang, Guodong Zhao, Aiden Ross, Long‐Qing Chen   +3 more
wiley   +1 more source

Orthogonal polynomials for exponential weights x2α(1 – x2)2ρe–2Q(x) on [0, 1)

Open Mathematics, 2020
Let Wα,ρ = xα(1 – x2)ρe–Q(x), where α > –12$\begin{array}{} \displaystyle \frac12 \end{array}$ and Q is continuous and increasing on [0, 1), with limit ∞ at 1.
Liu Rong
doaj   +1 more source

Artificial Intelligence‐Assisted Workflow for Transmission Electron Microscopy: From Data Analysis Automation to Materials Knowledge Unveiling

Advanced Materials, EarlyView.
AI‐Assisted Workflow for (Scanning) Transmission Electron Microscopy: From Data Analysis Automation to Materials Knowledge Unveiling. Abstract (Scanning) transmission electron microscopy ((S)TEM) has significantly advanced materials science but faces challenges in correlating precise atomic structure information with the functional properties of ...
Marc Botifoll, Ivan Pinto‐Huguet, Enzo Rotunno, Thomas Galvani, Catalina Coll, Payam Habibzadeh Kavkani, Maria Chiara Spadaro, Yann‐Michel Niquet, Martin Børstad Eriksen, Sara Martí‐Sánchez, Georgios Katsaros, Giordano Scappucci, Peter Krogstrup, Giovanni Isella, Andreu Cabot, Gonzalo Merino, Pablo Ordejón, Stephan Roche, Vincenzo Grillo, Jordi Arbiol   +19 more
wiley   +1 more source

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, Peng Zhang, Gang Qiu, Ting‐Hsun Yang, Chang Niu, Yaochen Li, Wenqiang Cui, Yang Feng, Peide D. Ye, Ke He, Kai Chang, Kang L. Wang   +11 more
wiley   +1 more source

Critical Periods of Perturbations of Reversible Rigidly Isochronous Centers

Abstract and Applied Analysis, 2013
We study the problem of bifurcation of critical periods of a time-reversible polynomial system of degree n. We first present a new method to find the number of zeros of the period function.
Jiamei Zhou, Na Li, Maoan Han
doaj   +1 more source

On the Zeros of Apolar Polynomials

Kragujevac Journal of Mathematics
The classical notion of apolarity is defined for two complex polynomials of same degree. The main property of two apolar polynomials, f(z) and g(z) was given by Grace’s theorem which states that “every circular domain containing all the zeros of f(z) contains at least one zero of g(z) and vice-versa”. A. Aziz [1] dropped the condition that f(z) and g(z)
Nazir, Ishfaq, Mir, Mohammad Ibrahim, Wani, Irfan Ahmad   +2 more
openaire   +2 more sources