Results 71 to 80 of about 6,609,770 (304)
Explicit Bounds for Linear Forms in the Exponentials of Algebraic Numbers
Proceedings of the 2022 International Symposium on Symbolic and Algebraic Computation, 2022 In this paper, we study linear forms \[λ= β_1\mathrm{e}^{α_1}+\cdots+β_m\mathrm{e}^{α_m},\] where $α_i$ and $β_i$ are algebraic numbers. An explicit lower bound for the absolute value of $λ$ is proved, which is derived from "théorème de Lindemann--Weierstrass effectif" via constructive methods in algebraic computation.
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Now available in Open Access, this best-selling textbook for a second course in linear algebra is aimed at undergraduate math majors and graduate students.
Axler, Sheldon
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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
wiley +1 more source
An algorithm for the optimisation of n-forms using symmetric multilinear forms [PDF]
, 1987 This paper describes an algorithm for locating stationary points of n-forms. Use is made of the associated n-linear form, the stationary points of which are seen to coincide with those of the n-form.
Bousfield, RA
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Power graphs and exchange property for resolving sets
Open Mathematics, 2019 Classical applications of resolving sets and metric dimension can be observed in robot navigation, networking and pharmacy. In the present article, a formula for computing the metric dimension of a simple graph wihtout singleton twins is given.
Abbas Ghulam +4 more
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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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SAGE Open, 2015 Feng Shui, still popularly practiced today, was closely related to philosophy, natural science, geography, environmental science, architecture, metaphysics, and astrology in ancient China.
Albert Ting Pat So +3 more
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The qudit Pauli group: non-commuting pairs, non-commuting sets, and structure theorems [PDF]
QuantumQudits with local dimension $d \gt 2$ can have unique structure and uses that qubits ($d=2$) cannot. Qudit Pauli operators provide a very useful basis of the space of qudit states and operators.
Rahul Sarkar, Theodore J. Yoder
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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 +3 more
wiley +1 more source
Freeness of linear and quadratic forms in von Neumann algebras
Journal of Functional Analysis, 2011 We characterize semicircular distribution by the freeness of linear and quadratic forms in noncommutative random variables from a tracial $W^*$-probability space with relaxed moment conditions.
Chistyakov, Gennadiy +2 more
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