Results 281 to 290 of about 336,088 (309)
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Normal numbers from independent processes
Ergodic Theory and Dynamical Systems, 1992In 1960 Schmidt [S] showed that if p and q are not powers of the same integer, i.e., if log q/log p is irrational, then for certain special measures μ on [0,1), invariant under S:x ↦ px (mod 1), μ-almost every x is normal to the base q. The measures considered in [S] were similar to Cantor-Lebesgue measure: namely, under μ the p-digit process was a ...
Feldman, J., Smorodinsky, M.
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Independence number and clique minors
Journal of Graph Theory, 2007AbstractThe Hadwiger number ${h}({G})$ of a graph G is the maximum integer t such that ${K}_{t}$ is a minor of G. Since $\chi({G})\cdot\alpha({G})\geq |{G}|$, Hadwiger's conjecture implies that ${h}({G})\cdot \alpha({G})\geq |{G}|$, where $\alpha({G})$ and $|{G}|$ denote the independence number and the number of vertices of G, respectively.
Kawarabayashi, Ken Ichi, Song, Zi Xia
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Linear independence of certain numbers
Archiv der Mathematik, 2018The paper deals with linear independence of infinite series over the rational numbers. The main result states the following. Let \(k\ge2\), \(b\ge2\) and \(1\le a_1 < a_2 < \dots < a_m\) be integers such that \(\sqrt[k]{\frac{a_i}{a_j}}\not\in\mathbb Q\) for any \(i\ne j\). Then the real numbers \[ 1,\quad \sum_{n=1}^\infty \frac{1}{b^{a_1n^k}} , \quad
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Complete Minors and Independence Number
SIAM Journal on Discrete Mathematics, 2010Let $G$ be a graph with $n$ vertices and independence number $\alpha$. Hadwiger's conjecture implies that $G$ contains a clique minor of order at least $n/\alpha$. In 1982, Duchet and Meyniel proved that this bound holds within a factor 2. Our main result gives the first improvement on their bound by an absolute constant factor.
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Cancer treatment and survivorship statistics, 2022
Ca-A Cancer Journal for Clinicians, 2022Kimberly D Miller +2 more
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Relative Fractional Independence Number
2024 IEEE Information Theory Workshop (ITW)Sharareh Alipour +2 more
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On the number of independent sets in graphs with fixed independence number
Discrete Mathematics and Applications, 2007openaire +1 more source
Cancer statistics in China, 2015
Ca-A Cancer Journal for Clinicians, 2016Rongshou Zheng +2 more
exaly

