Results 61 to 70 of about 6,609,770 (304)
Finite-dimensional linear algebra
, 2010 Linear algebra forms the basis for much of modern mathematics-theoretical, applied, and computational. Finite-Dimensional Linear Algebra provides a solid foundation for the study of advanced mathematics and discusses applications of linear algebra to ...
Gockenbach, Mark, Mark S. Gockenbach
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Advanced Science, EarlyView.Sr1−xBaxCo2V2O8 is established as a magnetic‐ion‐based proper displacive ferroelectric whose transition is continuously suppressed by Ba substitution to a ferroelectric quantum critical point. In the resulting quantum paraelectric regime, a transverse magnetic field induces magnetic quantum criticality, realizing multiferroic quantum criticality and ...
Takayuki Nagai +3 more
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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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Advanced Science, EarlyView.In this work, we show that multisensory integration in autistic children is characterized by attenuated ERP responses and α‐band desynchronization, together with reduced theta‐band communication between parieto‐occipital and frontal regions. The intermediate neural profile observed in unaffected siblings raises the possibility that altered cortical ...
Theo Vanneau +3 more
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Известия Иркутского государственного университета: Серия "Математика", 2015 Solvability theorem for the Cauchy problem to a degenerate linear evolution equation of fractional order in a Banach space is used for deriving of necessary and sufficient conditions of solvability for some arising in hydrodynamics equations systems of ...
D.M. Gordievskikh, V.E. Fedorov
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Chebyshev constants, linear algebra and computation on algebraic curves
, 2015 In previous work of the author, directional Chebyshev constants were studied on a complex algebraic curve. Using linear algebra, we study further properties of these constants.
Ma‘u, S
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Accelerating High‐Fidelity Airfoil Design via Physics‐Informed Video Diffusion Model
Advanced Science, EarlyView.Physics‐informed video diffusion enables rapid inverse aerodynamic design by mapping target lift‐to‐drag response to airfoil geometries and full‐field flow distributions. Trained on 53 400 DNS samples, the model achieves over 90% fidelity with ∼30 s inference, while experimentally realized propeller designs demonstrate a practical pathway from ...
Yifeng Ai +9 more
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Versal deformations: a tool of linear algebra [PDF]
A versal deformation of a matrix $A$ is a normal form to which all matrices $A+E$, close to $A$, can be reduced by similarity transformation smoothly depending on the entries of $A+E$.
Dmytryshyn, Andrii,, Dmytryshyn, Andrii
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Deep Learning for AD Risk Screening and Progression Prediction
Advanced Science, EarlyView.A pretrained MRI‐based deep learning model generalizes from Western cohorts to an independent Chinese cohort, detects Alzheimer's disease with high sensitivity, and identifies elevated AD risk years before diagnosis. Its risk scores align with cognition and plasma biomarkers, and individualized brain risk maps uncover clinically distinct subtypes ...
Bin Lu +12 more
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The Index and Split Forms of Linear Differential-Algebraic Equations
The Bulletin of Irkutsk State University. Series Mathematics, 2019 Differential-algebraic equations (DAEs) composed by linear systems of ordinary differential equations (ODE) with rectangular matrices of coefficients are considered, including the case when the matrix before the derivative of the desired vector function has not full rank for all argument values from the domain. Criteria for the existence of nonsingular
M.V. Bulatov, V.F. Chistyakov
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