Results 61 to 70 of about 205,279 (307)
No-go theorems for r-matrices in symplectic geometry
If a triangular Lie algebra acts on a smooth manifold, it induces a Poisson bracket on it. In case this Poisson structure is actually symplectic, we show that this already implies the existence of a flat connection on any vector bundle over the manifold ...
Jonas Schnitzer
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On Jordan triple (σ,τ)-higher derivation of triangular algebra
Let R be a commutative ring with unity, A = Tri(A,M,B) be a triangular algebra consisting of unital algebras A,B and (A,B)-bimodule M which is faithful as a left A-module and also as a right B-module.
Ashraf Mohammad+2 more
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Edge of Chaos Theory Unveils the First and Simplest Ever Reported Hodgkin–Huxley Neuristor
This manuscript presents the first and simplest ever‐reported electrical cell, which leverages one memristor on Edge of Chaos to reproduce the three‐bifurcation cascade, marking the entire life cycle from birth to extinction via All‐to‐None effect of an electrical spike, also referred to as Action Potential, across axon membranes under monotonic ...
Alon Ascoli+12 more
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Sustainable Thermal Solutions: Enhancing Heat Transfer with Turbulators and Nanofluids
Nanofluids, which are nanoparticle suspensions in base fluid, facilitate heat transmission due to their improved thermal conductivity. Turbulators, which are inserts into fluid flow channels, disturb the flow, increasing turbulence and hence the heat transfer rate.
Zafar Said+9 more
wiley +1 more source
Controllability of discrete‐time signed multiagent networks
Abstract Most of the existing studies on controllability have only focused on networks with non‐negative weighted interactions/edges among agents. In fact, there are both positive and negative weighted interactions in a network, where positive/negative weight implies cooperative/antagonistic interaction.
Bo Liu+3 more
wiley +1 more source
On maximality of some solvable and locally nilpotent subalgebras of the Lie algebra $W_n(K)$
Let $K$ be an algebraically closed field of characteristic zero, $P_n=K[x_1,\ldots ,x_n]$ the polynomial ring, and $W_n(K)$ the Lie algebra of all $K$-derivations on $P_n$.
D.I. Efimov, M.S. Sydorov, K.Ya. Sysak
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Lie higher derivations of arbitrary triangular algebras [PDF]
Motivated by the works of Wang [Y. Wang, \textit{Lie (Jordan) derivations of arbitrary triangular algebras,} Aequationes Mathematicae, \textbf{93} (2019), 1221-1229] and Moafian et al. [F. Moafian and H. R. Ebrahimi Vishki, \textit{Lie higher derivations on triangular algebras revisited,} Filomat, \textbf{30}(12) (2016), 3187-3194.], we shall study Lie
arxiv
Hochschild Cohomology of Triangular Matrix Algebras
AbstractWe study the Hochschild cohomology of triangular matrix rings B=R0AMRA , where A and R are finite dimensional algebras over an algebraically closed field K and M is an A-R-bimodule. We prove the existence of two long exact sequences of K-vector spaces relating the Hochschild cohomology of A, R, and B.
Michelena, Sandra, Platzeck, Maria Ines
openaire +3 more sources
Abstract Although thermally coupled distillation (TCD) exhibits strong energy efficiency, the possibility of utility cost savings remains debatable. TCD designs that do not consider vapor transport can underestimate costs, making section rearrangement crucial to find more operable configurations.
Anqing Wang+2 more
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Parallel kernel solver of an FPGA‐based real‐time simulator for active distribution networks
Abstract Field‐programmable gate array (FPGA)‐based real‐time simulators are often applied in simulations of active distribution networks (ADNs) because of their parallel architectures and low cost. The overall performance of an FPGA‐based real‐time simulator is mainly determined by its kernel solver, which solves the nodal equation at each simulation ...
Peng Li+5 more
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