Results 71 to 80 of about 19,319 (303)
The criteria for automorphisms on finite-dimensional algebras
Electronic Research ArchiveIn this paper, we will establish a criterion for automorphisms of finite-dimensional algebras. As an application, we will describe all automorphisms of the single-parameter generalized quaternion algebra. Additionally, we will obtain all automorphisms of
Yanni Yang, Quanguo Chen
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Advanced Theory and Simulations, EarlyView.FMint is introduced as a multi‐modal foundation model that integrates human‐designed solvers and data‐driven methods for fast, accurate simulation of dynamical systems. FMint leverages in‐context learning within a transformer‐based framework to refine coarse numerical solutions.
Zezheng Song, Jiaxin Yuan, Haizhao Yang
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Universal approach to derivation of quaternion rotation formulas [PDF]
MATEC Web of Conferences, 2019 This paper introduces and defines the quaternion with a brief insight into its properties and algebra. The main part of this paper is devoted to the derivation of basic equations of the vector rotation around each rotational x, y, z axis.
Chudá Hana
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Advanced Theory and Simulations, EarlyView.This study evaluates the simulation capabilities of lithium‐ion battery (LIB) electrochemical simulation software packages. The benchmark simulation results reveal the impacts of parameter sensitivity to solver performance and stability. The guidelines to troubleshooting common solver failures at high current rates lowers the steep learning curve to ...
Kenneth C. Nwanoro +2 more
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Label‐Free 3D Photoacoustic Imaging of Tumor Organoids for Volumetric Drug Screening
Advanced Science, EarlyView.A label‐free organoid photoacoustic imaging (LFOPI) system is developed for precise volumetric drug screening evaluation. As a proof of concept, LFOPI's performance in chemotherapy and immunotherapy drug screening assays are further evaluated. The LFOPI offers unique non‐invasive, label‐free capabilities for tumor organoids, and contributes to the ...
Xiaofei Luo +18 more
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Finiteness of Hermitian Levels of Some Algebras
Boletim da Sociedade Paranaense de Matemática, 2011 We characterize the hermitian levels of quaternion and octonion algebrasand of an 8-dimensional algebra D over the ground field F, constructed using a weak version of the Cayley-Dickson double process.It is shown that all values of the hermitian levels ...
Clotilzio Moreira dos Santos
doaj
Fractional Quaternion Zernike Moments for Robust Color Image Copy-Move Forgery Detection
IEEE Access, 2018 In this paper, fractional Zernike moments (FrZMs) for complex signals are generalized to fractional quaternion Zernike moments (FrQZMs) for quaternion signal processing in a holistic manner by the quaternion algebra.
Beijing Chen +4 more
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Tensor products of quaternion algebras [PDF]
Proceedings of the American Mathematical Society, 1972 Two quaternion division algebras have a common quadratic subfield if their tensor product contains zero-divisors.
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Drug Resistance Predictions Based on a Directed Flag Transformer
Advanced Science, EarlyView.CAPTURE, a deep learning framework combining structural and sequence data to predict drug‐resistant Mpro mutations, revealing that PAXLOVID use may be accelerating resistance—supporting real‐time viral surveillance and therapeutic design. Abstract The evolving SARS‐CoV‐2 virus threatens global public health, particularly with potential resistance to ...
Dong Chen +8 more
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Angewandte Chemie, EarlyView.The selenium‐based tBuCz‐DiKTaSe emitter containing a twisted ortho‐disposed tert‐butylcarbazole shows high ΦPL, suppressed ACQ, fast kRISC and is chiral. The OLEDs show high EQEmax and alleviated efficiency roll‐off compared to devices with carbonyl‐based MR‐TADF emitters.
Jingxiang Wang +9 more
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