Results 61 to 70 of about 15,933 (255)
gl3 ALGEBRA IN MIXED MATRIX REPRESENTATIONS
Acta PolytechnicaIt is demonstrated that the so-called mixed realization of the gl3 algebra generators in terms of matrix differential operators in two variables, as presented by Smirnov-Turbiner (2013), can be “lifted” into the action in the Fock space associated with ...
Alexander V. Turbiner
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Advanced Intelligent Systems, EarlyView.Motion artifacts in electrocardiographic signals, conventionally dismissed as noise, are shown to encode discriminative activity information. A smart t‐shirt fusing textile strain sensors with textile ECG electrodes, processed through a complex‐valued residual network, recognizes 12 sport activities.
Nada Al‐azzawi +4 more
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Vector‐Based SparseGPT: A Vector‐Based Sparsity Method for Large Language Model
Advanced Intelligent Systems, EarlyView.Conventional pruning such as SparseGPT produces harmful accumulated errors through step‐by‐step weight editing. V‐SparseGPT prunes and updates target weights simultaneously to curb these errors for N:M structured sparsity. Block‐sparsity and layer‐parallel sparsity greatly boost pruning efficiency.
Junfei He +3 more
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Derivations and automorphisms of locally matrix algebras and groups
Доповiдi Нацiональної академiї наук УкраїниWe describe derivations and automorphisms of infinite tensor products of matrix algebras. Using this description, we show that, for a countable–dimensional locally matrix algebra A over a field F, the dimension of the Lie algebra of outer derivations of ...
O.O. Bezushchak
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Clarke Transform: A Lingua Franca for Continuum Robotics
Advanced Intelligent Systems, EarlyView.Using the Clarke transform, both robot‐dependent mappings are known exactly for kinematic models, leading to a complete chain of transformations between spaces with associated abstraction. This eases the derivation. Therefore, proposing the Clarke transform as a lingua franca and utilizing a practical fact sheet can pave the way for more systematic ...
Reinhard M. Grassmann, Sami Haddadin
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Asia-Pacific Journal of Chemical Engineering, EarlyView.ABSTRACT Efficient removal of liquid aerosols from compressed gas streams is essential in chemical and energy processes. Conventional separators relying on a single mechanism (inertial or centrifugal) struggle to capture both fine and coarse droplets simultaneously.
Son Ung Kang +3 more
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Asia-Pacific Journal of Chemical Engineering, EarlyView.ABSTRACT Hybrid nanofluids have emerged as next‐generation working fluids for advanced engineering application due to their superior heat transport capability in relation to the conventional nanofluids. Motivated by the rising demand for accurate prediction of transport phenomena under realistic operating situations, the present study examines the ...
B. Prabhakar Reddy +3 more
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Method of general Сoule-Hopf substitutions in theory of finite-dimensional dynamical systems
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011 We consider the results of applying the method of generic Cole-Hopf substitutions to integration of finite-dimensional dynamical systems. Dynamical systems are represented in the form of matrix ordinary differential equations with specific matrix algebra
Victor M Zhuravlev, Konstantin S Obrubov
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Yang–Baxter maps, discrete integrable equations and quantum groups
Nuclear Physics B, 2018 For every quantized Lie algebra there exists a map from the tensor square of the algebra to itself, which by construction satisfies the set-theoretic Yang–Baxter equation.
Vladimir V. Bazhanov, Sergey M. Sergeev
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Advanced Physics Research, EarlyView.This graphical abstract illustrates the unified framework of Data Field Theory (DFT), integrating hyperbolic geometry for hierarchical embedding, gauge theory for internal symmetries, renormalization group for multi‐scale dynamics, Lévy processes for heavy‐tailed fluctuations, noncommutative geometry for quantum‐inspired cognition, and higher ...
Mohammadreza Nehzati
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