Results 21 to 30 of about 2,146,795 (300)
The partial correlation coefficient (Pcor) is a vital statistical tool employed across various scientific domains to decipher intricate relationships and reveal inherent mechanisms.
Jingying Yang, Guishu Bai, Mei Yan
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Partially Ordinal Sums and $P$-partitions [PDF]
We present a method of computing the generating function $f_P(\textbf{x})$ of $P$-partitions of a poset $P$. The idea is to introduce two kinds of transformations on posets and compute $f_P(\textbf{x})$ by recursively applying these transformations. As an application, we consider the partially ordinal sum $P_n$ of $n$ copies of a given poset, which ...
Daniel K. Du, Qing-Hu Hou
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In this article, we consider the Laplace-Bessel differential operatorΔBk,n=∑i=1k∂2∂xi2+γixi∂∂xi+∑i=k+1n∂2∂xi2,γ1>0,…,γk>0.{\Delta }_{{B}_{k,n}}=\mathop{\sum }\limits_{i=1}^{k}\left(\frac{{\partial }^{2}}{\partial {x}_{i}^{2}}+\frac{{\gamma }_{i}}{{x}_{i}}
Hasanov Javanshir J. +2 more
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Zeros of partial sums of L-functions [PDF]
We consider a certain class of multiplicative functions $f: \mathbb N \rightarrow \mathbb C$. Let $F(s)= \sum_{n=1}^\infty f(n)n^{-s}$ be the associated Dirichlet series and $F_N(s)= \sum_{n\le N} f(n)n^{-s}$ be the truncated Dirichlet series. In this setting, we obtain new Halász-type results for the logarithmic mean value of $f$.
Roy, Arindam, Vatwani, Akshaa
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Partial sum process of orthogonal series as rough process [PDF]
In this thesis, we investigate the pathwise regularity of partial sum process of general orthogonal series, and prove that the partial sum process is a geometric 2-rough process under the same condition as in Menshov-Rademacher Theorem.
Yang, Danyu
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Infrared Small Target Detection Based on Partial Sum Minimization and Total Variation
In the advanced applications, based on infrared detection systems, the precise detection of small targets has become a tough work today. This becomes even more difficult when the background is highly dense in addition to the nature of small targets.
Sur Singh Rawat +5 more
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On an Extended Reverse Multidimensional Half-Discrete Hilbert-Type Inequality
By means of the weight functions, the idea of introduced parameters and the techniques of real analysis, we give a new reverse Hardy-type inequality and then obtain an extended reverse multidimensional half-discrete Hilbert-type inequality with the ...
Jianquan Liao, Bicheng Yang
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The Enumeration of Sequences with Restrictions on their Partial Sums [PDF]
We examine sequences containing $p$ "$-t$"s and $pt+r$ "$+1$"s, where $p$, $t$, and $r$ are integers satisfying $p\ge0$, $t\ge 1$ and $pt+r\ge0$. We develop a rotation method to enumerate the number of sequences meeting additional requirements related to their partial sums.
Stephen Suen, Kevin P. Wagner
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A Generalized Sum-Difference Inequality and Applications to Partial Difference Equations
We establish a general form of sum-difference inequality in two variables, which includes both two distinct nonlinear sums without an assumption of monotonicity and a nonconstant term outside the sums.
Wu-Sheng Wang
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Partial Differential Equations in Zero-Sum Differential Game and Applications on Coronavirus
In this paper, we studied a zero-sum game described by the partial differential equations as an application on Coronavirus. The game contains two players, player 1 is Coronavirus and player 2 is the population. We used ∞-Laplacian which is denoted by ∆∞.
Abd El-Monem A. Megahed +1 more
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