Results 51 to 60 of about 154,479 (279)
A crossed product of a skew field of quaternions and four-group
Журнал Белорусского государственного университета: Математика, информатика, 2018 The article considers construction of generalized crossed product of an arbitrary quaternions skew field and Klein four-group relative to factor system. It is well known that such crossed product is semisimple ring.
Valery V. Kursov
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On the Strong Atoms of Q-Algebras
AxiomsThe concept of strong atoms in Q-algebras is discussed herein. In this work, some properties of strong atoms are provided. We show that there is no Q-algebra X with |X|≥3 such that all elements are strong atoms.
Kittisak Saengsura +2 more
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Solution of an inverse kinematics problem using dual quaternions
International Journal of Applied Mathematics and Computer Science, 2020 The paper proposes a solution to an inverse kinematics problem based on dual quaternions algebra. The method, relying on screw theory, requires less calculation effort compared with commonly used approaches.
Chen Lei +3 more
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Journal of Mathematics, 2021 Picture fuzzy sets (PFSs) are one of the fundamental concepts for addressing uncertainties in decision problems, and they can address more uncertainties compared to the existing structures of fuzzy sets; thus, their implementation was more substantial ...
Saleem Abdullah +3 more
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Spintronic Memtransistor Leaky Integrate and Fire Neuron for Spiking Neural Networks
Advanced Electronic Materials, EarlyView.Spintronic memtransistor neurons based on domain walls enable energy‐efficient, field‐gated, and current‐controlled LIF functionality for neuromorphic computing, as demonstrated. When integrated into spiking neural network architectures, these devices achieve >96% pattern recognition accuracy, demonstrating high performance, scalability, and mem ...
Aijaz H. Lone +7 more
wiley +1 more source
Anisotropic variation formulas for imaging applications
AIMS Mathematics, 2019 The discrete anisotropic variation, sometimes referred to as the anisotropic gradient, and its integral are important in a variety of image processing applications and set boundary measure computations.
Thomas Asaki, Heather A. Moon
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Two different template replicators coexisting in the same protocell: stochastic simulation of an extended chemoton model. [PDF]
PLoS ONE, 2011 The simulation of complex biochemical systems, consisting of intertwined subsystems, is a challenging task in computational biology. The complex biochemical organization of the cell is effectively modeled by the minimal cell model called chemoton ...
István Zachar +2 more
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In Situ Graph Reasoning and Knowledge Expansion Using Graph‐PRefLexOR
Advanced Intelligent Discovery, EarlyView.Graph‐PRefLexOR is a novel framework that enhances language models with in situ graph reasoning, symbolic abstraction, and recursive refinement. By integrating graph‐based representations into generative tasks, the approach enables interpretable, multistep reasoning.
Markus J. Buehler
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Integral Cryptanalysis Using Algebraic Transition Matrices
IACR Transactions on Symmetric Cryptology, 2023 In this work we introduce algebraic transition matrices as the basis for a new approach to integral cryptanalysis that unifies monomial trails (Hu et al., Asiacrypt 2020) and parity sets (Boura and Canteaut, Crypto 2016).
Tim Beyne, Michiel Verbauwhede
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Advanced Intelligent Discovery, EarlyView.A crystal graph neural network based on the attention mechanism is proposed in this work. The model dynamically weights features through the attention mechanism, enabling precise prediction of properties of material from structural features. Here, taking Janus III–VI van der Waals heterostructures as a representative case, the properties have been ...
Yudong Shi +7 more
wiley +1 more source