Results 51 to 60 of about 16,496 (311)
ON THE ASYMPTOTIC FORM OF THE LANDAU-LIFSHITZ EQUATION ON A THREE-DIMENSIONAL TORUS
We consider the Landau-Lifshitz equation on a three-dimensional torus. The equation is reduced to the form of the Euler equation for the geodesic left-invariant metric on the infinite-dimensional Lie algebra of the current group. The group of currents is
A. M. Lukatsky
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Axioms for Behavioural Congruence of Single-Pass Instruction Sequences [PDF]
In program algebra, an algebraic theory of single-pass instruction sequences, three congruences on instruction sequences are paid attention to: instruction sequence congruence, structural congruence, and behavioural congruence.
J.A. Bergstra, C.A. Middelburg
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This paper presents a new framework based on geometric algebra (GA) to solve and analyse three-phase balanced electrical circuits under sinusoidal and non-sinusoidal conditions. The proposed approach is an exploratory application of the geometric algebra
Francisco G. Montoya +4 more
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Physical Origin of Temperature Induced Activation Energy Switching in Electrically Conductive Cement
The temperature‐induced Arrhenius activation energy switching phenomenon of electrical conduction in electrically conductive cement originates from structural degradation within the biphasic ionic‐electronic conduction architecture and shows percolation‐governed characteristics: pore network opening dominates the low‐percolation regime with downward ...
Jiacheng Zhang +7 more
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In a three-phase symmetric power system, we propose a transformation that converts the original current to a current with minimal losses while preserving the standard constraints. The selected transformation is realized in suitable geometric algebra and
Johanka Brdečková, Jaroslav Hrdina
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With the increasing demand for multidimensional data processing, Geometric algebra (GA) has attracted more and more attention in the field of geographical information systems.
Uzair Aslam Bhatti +8 more
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In this paper, we study Hom-Lie structures on tensor products. In particular, we consider current Hom-Lie algebras and discuss their representations. We determine faithful representations of minimal dimension of current Heisenberg Hom-Lie algebras. Moreover derivations, including generalized derivations, and centroids are studied.
Jmaa, Torkia Ben +2 more
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A plasmonic optoelectronic memristor based on Te nanowires‐Au nanoparticles/ι‐carrageenan enables IR‐programmed and visiblelight‐erased non‐volatile conductance. The all‐photonic write/erase scheme supports in‐sensor logic and real‐time motion detection in darkness.
Jingyao Bian +7 more
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Current Algebra and Gauge Variance [PDF]
It is urged that the lesson of gauge invariance in quantum electrodynamics implies the irrelevance of «Schwinger term» difficulties in current algebra. The divergence equations of Veltman form the basis of a gauge-variation formalism in which these questions are avoided.
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Central Extensions of Current Algebras [PDF]
The second cohomology group of Lie algebras of kind L ⊗ U L \otimes U with trivial coefficients is investigated, where L L admits a decomposition with one-dimensional root spaces and U U is an arbitrary associative commutative algebra with unit. This paper gives a unification
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