Results 51 to 60 of about 63,696 (324)
Approximate solution of nonlinear multi-point boundary value problem on the half-line
Mathematical Modelling and Analysis, 2012 In this work, we construct a novel weighted reproducing kernel space and give the expression of reproducing kernel function skillfully. Based on the orthogonal basis established in the reproducing kernel space, an efficient algorithm is provided to solve
Jing Niu, Ying Zhen Lin, Chi Ping Zhang
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Reproducing kernel method for solving wiener-hopf equations of the second kind [PDF]
Journal of Hyperstructures, 2016 This paper proposed a reproducing kernel method for solving Wiener-Hopf equations of the second kind. In order to eliminate the singularity of the equation, a transform is used.
Azizallah Alvandi +2 more
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FEBS Open Bio, EarlyView.This study optimizes a two‐step induction system to generate PGCLCs from chicken ESCs. The induced cells express germline markers and migrate to gonads in ovo, offering a novel approach for avian genetic resource conservation. Primordial germ cells (PGCs) are the progenitor cells of sperm and eggs.
Zeyu Li +10 more
wiley +1 more source
Altered Dynamic Functional Network Connectivity in Post‐Stroke Aphasia
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Previous studies examining post‐stroke aphasia (PSA) patients via resting‐state functional magnetic resonance imaging (rs‐fMRI) have predominantly focused on static functional connectivity. In contrast, the current investigation aims to elucidate the alterations in dynamic functional network connectivity (dFNC) among PSA patients ...
Guihua Xu +6 more
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Using an Effective Numerical Method for Solving a Class of Lane-Emden Equations
Abstract and Applied Analysis, 2014 We use the reproducing kernel method to solve the well-known classes of Lane-Emden-type equations. These classes of equations have the form of Lane-Emden problem.
Yulan Wang +3 more
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Combining the reproducing kernel method with Taylor series expansion to solve systems of nonlinear fractional Volterra integro-differential equations [PDF]
Iranian Journal of Numerical Analysis and OptimizationIn this article, we present a novel approach for solving systems of nonlinear fractional Volterra integro-differential equations $(NFVI-DEs)$ by reproducing the Hilbert kernel method.
T. Amoozad +3 more
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Advanced Biology, EarlyView.Infrared (IR) light evokes distinct calcium and water transport responses in astrocytes, depending on stimulation duration and protocol. This study uses widefield imaging and pharmacology to reveal differential engagement of astroglial signaling pathways.
Wilson R. Adams +7 more
wiley +1 more source
Reproducing kernel functions for linear tenth-order boundary value problems
ITM Web of Conferences, 2018 Higher order differential equations have always been an onerous problem to investigate for the mathematicians and engineers. Different numerical methods were applied to get numerical approximations of such problems.
Akgül Ali +3 more
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Positive Definite Kernels in Machine Learning [PDF]
, 2009 This survey is an introduction to positive definite kernels and the set of methods they have inspired in the machine learning literature, namely kernel methods.
Cuturi, Marco
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A Primer on Reproducing Kernel Hilbert Spaces
, 2015 Reproducing kernel Hilbert spaces are elucidated without assuming prior familiarity with Hilbert spaces. Compared with extant pedagogic material, greater care is placed on motivating the definition of reproducing kernel Hilbert spaces and explaining when
Amblard, Pierre-Olivier +1 more
core +3 more sources