Results 271 to 280 of about 2,300,073 (304)

Partial sum of eigenvalues of random graphs

Applications of Mathematics, 2020
Let \(\lambda_{1}\geq\lambda_{2}\geq\cdots\geq\lambda_{n}\) be the eigenvalues of the adjacency matrix of a graph \(G\) with \(n\) vertices and \(m\) edges. The main result states that, for almost all graphs \(G\) and \(1\leq k\leq n\), we have \[s_{k}(G)=\sum_{i=1}^{k}\lambda_{i}\leq(m+k^{2})/(0.99n)^{1/2}\, .\] The main techniques explored in this ...
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On partial sums of chromatic polynomials

Ars Comb., 1999
Inequalities of the Bonferroni type are proved for \(P_{G}(\lambda)\), the chromatic polynomial of the graph \(G\). If \(P_{G}(\lambda)=\lambda ^n+a_1\lambda ^{n-1}+\cdots +a_n\) (\(n\) is the number of vertices of \(G\) and \(P_{G}(\lambda)\) is defined, of course, as the number of the proper vertex colorings of \(G\) by the colors \(\{1,2,\ldots ...
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On the angular partial sums

Georgian Mathematical Journal
Abstract In the paper, some approximation properties of angular partial sums are established.
Gogoladze, Larry, Vekua, Ekaterine
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The Zeros of the Partial Sums of the Exponential Series

The American Mathematical Monthly, 2003
(2003). The Zeros of the Partial Sums of the Exponential Series. The American Mathematical Monthly: Vol. 110, No. 4, pp. 337-339.
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The Variance of Partial Sums

2017
In order to study the deviation and the limiting distribution of a partial sum of real-valued random variables, one of the main steps is to study the variance of this sum.
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Iterated Partial Sums of the k-Fibonacci Sequences

Axioms, 2022
Sérgio Falcon, Angel Plaza
exaly  

PARTIAL SUMS OF ZEROS OF A POLYNOMIAL

The Quarterly Journal of Mathematics, 1962
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Dramatic Increase in the Use of Implantable Accelerated Partial Breast Irradiation After Breast-Conserving Surgery.

Ca-A Cancer Journal for Clinicians, 2011
Mary Kay Barton
exaly  

Maximal Inequalities for Partial Sums of ρ-Mixing Sequences

Annals of Probability, 1995
Qi-Man Shao
exaly  

High Moment Partial Sum Processes of Residuals in GARCH Models and Their Applications

Annals of Statistics, 2005
Reg Kulperger
exaly