Results 31 to 40 of about 2,093 (267)

Algebraic bases of some algebras of polynomials on Banach spaces

Математичні Студії
The work is devoted to the study of algebraic bases of algebras of continuous polynomials on real and complex Banach spaces. A subset of an algebra is called an algebraic basis if every element of the algebra can be uniquely represented as a linear ...
R. V. Ponomarov, T. V. Vasylyshyn
doaj   +1 more source

Complexity of Some Generalized Operations on Networks

Complexity, 2021
The number of spanning trees in a network determines the totality of acyclic and connected components present within. This number is termed as complexity of the network.
Muhammad Javaid, Hafiz Usman Afzal, Shaohui Wang   +2 more
doaj   +1 more source

An exciting Approach to Theoretical Spectroscopy

Advanced Science, EarlyView.
ABSTRACT Theoretical spectroscopy, and more generally, electronic‐structure theory, are powerful concepts for describing the complex many‐body interactions in materials. They cover methods from ground‐state properties to lattice excitations and light‐matter interaction, including time‐resolved variants.
Martí Raya‐Moreno, Alexander Buccheri, Noah Alexy Dasch, Nasrin Farahani, Ignacio Gonzalez Oliva, Andris Gulans, Seokhyun Hong, Manoar Hossain, Hannah Kleine, Martin Kuban, Sven Lubeck, Benedikt Maurer, Pasquale Pavone, Fabian Peschel, Daria Popova‐Gorelova, Lu Qiao, Elias Richter, Santiago Rigamonti, Ronaldo Rodrigues Pela, Maximilian Schebek, Kshitij Sinha, Daniel T. Speckhard, Jan Stutz, Sebastian Tillack, Dmitry Tumakov, Jānis Užulis, Mara Voiculescu, Cecilia Vona, Mao Yang, Claudia Draxl   +29 more
wiley   +1 more source

Subsymmetric Polynomials on Banach Spaces and Their Applications

Mathematics
We investigate algebraic and topological properties of subsymmetric polynomials on finite- and infinite-dimensional spaces. In particular, we focus on the problem of the existence of an algebraic basis in the algebra of subsymmetric polynomials, as well ...
Vitalii Bihun, Daryna Dolishniak, Viktoriia Kravtsiv, Andriy Zagorodnuyk   +3 more
doaj   +1 more source

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, Alon Ascoli, Fernando Corinto, Yuriy V. Pershin   +3 more
wiley   +1 more source

Cryptanalysing variants of Stickel's key agreement scheme

Journal of Mathematical Cryptology, 2011
Stickel's key agreement scheme was successfully cryptanalysed by V. Shpilrain when GL(n, q) is used as a platform. Shpilrain suggested the algebra of all (not necessarily invertible) n × n matrices defined over some finite ring R would make a more secure
Mullan Ciaran
doaj   +1 more source

Synchronization of Analog Neuron Circuits With Digital Memristive Synapses: An Hybrid Approach

Advanced Electronic Materials, EarlyView.
An hybrid circuit mimicking neural units coupled using memristive synapses is introduced. The analog neurons provide flexibility and robustness, and the digital memristive coupling guarantees the full reconfigurability of the interconnection. The onset of a synchronized spiking behavior in two circuits mimicking the Izhikevich neuron is discussed from ...
Lamberto Carnazza, Francesco Maria Esposito, Carlo Famoso, Arturo Buscarino   +3 more
wiley   +1 more source

Polynomials—Unifying or Fragmenting High School Mathematics?

Education Sciences
This paper presents research on the origin, scope, evolution, and rationale of knowledge about polynomials in high school mathematics. Within the framework of the Anthropological Theory of the Didactic, Croatian high school curricula and textbooks were ...
Jelena Pleština, Željka Milin Šipuš, Matija Bašić   +2 more
doaj   +1 more source

Linear gradings of polynomial algebras

Open Mathematics, 2008
Abstract Let k be a field, let $$ G $$ be a finite group. We describe linear $$ G $$-gradings of the polynomial algebra k[x 1, ..., x m] such that the unit component is a polynomial k-algebra.
openaire   +2 more sources

OnC *-algebras having linear, polynomial and subexponential growth

Inventiones Mathematicae, 1992
Answering q a question of \textit{D. Voiculescu} [On the existence of quasi- central approximate units relative to normed ideals, Problem 5.9, J. Funct. Anal. 91, 1-36 (1990)], we show that \(C^*\)-algebras having filtrations \((A_ n)_{n\in\mathbb{N}}\) satisfying the condition \(\limsup_{n\to\infty}ln \dim A_ n/n=0\) (in particular having ...
Kirchberg, Eberhard, Vaillant, Ghislain
openaire   +2 more sources