Results 41 to 50 of about 108,480 (312)
The Solution of Generalization of the First and Second Kind of Abel’s Integral Equation
Integral equations are equations in which the unknown function is found to be inside the integral sign. N. H. Abel used the integral equation to analyze the relationship between kinetic energy and potential energy in a falling object, expressed by two ...
Muhammad Taufik Abdillah +2 more
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A New Integral Equation Form of Integrable Reductions of the Einstein Equations
LaTeX, 23 pages; v2: the third displayed equation in sec.
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Contractions of Integrable Equations [PDF]
The contraction is applied to obtaining of integrable systems associated with nonsemisimple algebras. The effect of contraction is splitting off some components from initial system without loss of integrability.
Gromov, N. A. +2 more
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We identified a systemic, progressive loss of protein S‐glutathionylation—detected by nonreducing western blotting—alongside dysregulation of glutathione‐cycle enzymes in both neuronal and peripheral tissues of Taiwanese SMA mice. These alterations were partially rescued by SMN antisense oligonucleotide therapy, revealing persistent redox imbalance as ...
Sofia Vrettou, Brunhilde Wirth
wiley +1 more source
One of the key tools for many fields of applied mathematics is the integral equations. Integral equations are widely utilized in many models, atmosphere–ocean dynamics, fluid mechanics, mathematical physics, and many other physical and engineering ...
Heba M. Arafa, Mohamed A. Ramadan
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A Grassmann integral equation [PDF]
The present study introduces and investigates a new type of equation which is called Grassmann integral equation in analogy to integral equations studied in real analysis. A Grassmann integral equation is an equation which involves Grassmann (Berezin) integrations and which is to be obeyed by an unknown function over a (finite-dimensional) Grassmann ...
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Tau acetylation at K331 has limited impact on tau pathology in vivo
We mapped tau post‐translational modifications in humanized MAPT knock‐in mice and in amyloid‐bearing double knock‐in mice. Acetylation within the repeat domain, particularly around K331, showed modest increases under amyloid pathology. To test functional relevance, we generated MAPTK331Q knock‐in mice.
Shoko Hashimoto +3 more
wiley +1 more source
In this letter, a Quasi‐Helmholtz Projector method including multibranch Rao‐Wilton‐Glisson (MB‐RWG) basis function to calculate the scattering problem of multiscale targets at low frequencies is proposed.
Yu Wang, Xiaojie Dang, Ming‐da Zhu
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We study minimax estimation of functionals of solutions to parabolic problems under nonlinear observations with rapidly oscillating coefficients. An averaging approach is developed, the existence of a minimax estimator is proved, and the convergence of ...
Oleksandr M. Stanzhytskyi +2 more
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The authors consider a Volterra integrodifferential equation of any order and of the second kind. They obtain exact and approximate solutions in the field of Mikusinski's operators \(F\), or, more precise, in a subspace \(F_c=\{f\in F\}\), where \(f\) is represented by a continuous function.
Takači, Arpad, Takači, Đurđica
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