Results 51 to 60 of about 4,546 (229)
Effective approximation to complex algebraic numbers by algebraic numbers of bounded degree
Transactions of the American Mathematical SocietyWe establish the first effective improvements on the Liouville inequality for approximation to complex non-real algebraic numbers by complex algebraic numbers of degree at most 4 4
Bajpai, Prajeet, Bugeaud, Yann
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On the number of good approximations of algebraic numbers by algebraic numbers of bounded degree [PDF]
Acta Arithmetica, 1999 Define the absolute height of an algebraic number \(\beta\) by \(H(\beta)=|a_0|\prod_{i=1}^t\max (1,|\beta^{(i)}|)^{1/t}\), where \(t\) is the degree of \(\beta\), \(a_0\) is the leading coefficient of its minimal polynomial, and where \(\beta^{(1)}\ldots \beta^{(t)}\) are its conjugates. \textit{E. Wirsing} [Number Theory Institute 1969, Proc.
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Advanced Science, EarlyView.We report the solid‐state ball milling, a traditional, reliable, mass‐productive material processing, to prepare the air‐stable and dual‐phase GeSe2‐x nanoparticles with extended photodetection feasibility toward optical‐wavelength regions. We further display photonic multi‐valued logic (MVL) circuit through the employment of a hybrid PMMA/GeSe2‐x ...
An‐Ting Tsai +8 more
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Physical Sciences and Technology, 2018 To consider the interactions between light nuclei, as well as the nature of the nuclear forces between them, and the test was made of the coupled and resonant positions of the nucleus (_3^6)Li using the technique of the "Algebraic version of the ...
N.K. Kalzhigitov +4 more
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Updatable Closed‐Form Evaluation of Arbitrarily Complex Multiport Network Connections
Advanced Electronic Materials, EarlyView.The inverse design of electrically large wave devices often uses reduced‐order multiport models with discrete optimization, requiring many evaluations of complex interconnections between subsystems that differ only in a few blocks. This paper introduces a closed‐form framework enabling efficient Woodbury low‐rank updates of related, previous ...
Hugo Prod'homme, Philipp del Hougne
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Low‐Power Control Of Resistance Switching Transitions in First‐Order Memristors
Advanced Electronic Materials, EarlyView.Joule losses are a serious concern in modern integrated circuit design. In this regard, minimizing the energy necessary for programming memristors should be handled with care. This manuscript presents an optimal control framework, allowing to derive energy‐efficient programming voltage protocols for resistance switching devices. Following this approach,
Valeriy A. Slipko +3 more
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SPICE‐Compatible Compact Modeling of Cuprate‐Based Memristors Across a Wide Temperature Range
Advanced Electronic Materials, EarlyView.A physics‐guided compact model for YBCO memristors is introduced, incorporating carrier trapping, field‐induced detrapping, and a differential balance equation to describe their switching dynamics. The model is compared with experiments and implemented in LTspice, allowing realistic circuit‐level simulations.
Thomas Günkel +6 more
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APPROXIMATING NUMBERS WITH MISSING DIGITS BY ALGEBRAIC NUMBERS [PDF]
Proceedings of the Edinburgh Mathematical Society, 2006 AbstractWe show that for a given base $b$ and a proper subset $E\subset\{0,\dots,b-1\}$, $\#E\ltb-1$, the set of numbers $x\in[0,1]$ that have no digits from $E$ in their expansion to base $b$ consists almost exclusively of $S^*$-numbers of type at most $\min\{2,\log b/\log(b-\#E)\}$.
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Agribusiness, EarlyView.ABSTRACT Innovation is essential for competitiveness in agribusiness facing dynamic environments. This study examines how market orientation, marketing, relational, and social capabilities influence innovation performance. Using data from 751 Spanish firms and a multi‐method approach that integrates Structural Equation Modeling (PLS‐SEM), Necessary ...
Beatriz Corchuelo Martínez‐Azúa +1 more
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Approximation to real numbers by cubic algebraic integers. II [PDF]
Annals of Mathematics, 2003 22 pages, v2: minor ...
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