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Self-Similar Blowup Solutions to the 2-Component Degasperis-Procesi Shallow Water System
, 2010 In this article, we study the self-similar solutions of the 2-component Degasperis-Procesi water system:% [c]{c}% \rho_{t}+k_{2}u\rho_{x}+(k_{1}+k_{2})\rho u_{x}=0 u_{t}-u_{xxt}+4uu_{x}-3u_{x}u_{xx}-uu_{xxx}+k_{3}\rho\rho_{x}=0. By the separation method,
Camassa +19 more
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Fourier transform and rigidity of certain distributions
, 2012 Let $E$ be a finite dimensional vector space over a local field, and $F$ be its dual. For a closed subset $X$ of $E$, and $Y$ of $F$, consider the space $D^{-\xi}(E;X,Y)$ of tempered distributions on $E$ whose support are contained in $X$ and support of ...
BINYONG SUN +3 more
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Материалы по археологии и истории античного и средневекового Крыма, 2014 Средневековый пещерный комплекс над г. Ялтой расположен на высоте около 1250 м над уровнем моря. Он состоит из двух пещер Иограф I и II. В первой из них некогда располагался храм, известный по рисункам художников конца XIX — начала XX вв., во второй ...
Турова Н.П. / Turova N.P.
doaj
Sample Complexity of Sample Average Approximation for Conditional Stochastic Optimization
, 2020 In this paper, we study a class of stochastic optimization problems, referred to as the \emph{Conditional Stochastic Optimization} (CSO), in the form of $\min_{x \in \mathcal{X}} \EE_{\xi}f_\xi\Big({\EE_{\eta|\xi}[g_\eta(x,\xi)]}\Big)$, which finds a ...
Chen, Xin, He, Niao, Hu, Yifan
core
A Smoothed-Distribution Form of Nadaraya-Watson Estimation [PDF]
Given observation-pairs (xi ,yi ), i = 1,...,n , taken to be independent observations of the random pair (X ,Y), we sometimes want to form a nonparametric estimate of m(x) = E(Y/ X = x). Let YE have the empirical distribution of the yi , and let (XS ,YS )
John T. Addison, Ralph W. Bailey
core
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