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An Improved Bound for the Nystrom Method for Large Eigengap
An Improved Bound the Nystrom Method Large Eigengap
2012/11/23
We develop an improved bound for the approximation error of the Nystr\"{o}m method under the assumption that there is a large eigengap in the spectrum of kernel matrix. This is based on the empirical ...
An improved bound for the Manickam-Miklós-Singhi conjecture
the Manickam-Miklós-Singhi conjecture math
2010/11/18
We show that for $n>k(4e\log k)^k$ every set $\{x_1,..., x_n\}$ of $n$ real numbers with $\sum_{i=0}^{n}x_i \geq 0$ has at least $\binom{n-1}{k-1}$ $k$-element subsets of a non-negative sum. This is ...
An Improved Bound for the Complex Phase Speed of Baroclinic Instability
Complex Phase Speed Baroclinic Instability
2008/7/4
An improved bound is obtained for the radius of the semicircle in the complex plane containing the complex phase speed of baroclinically unstable plane wave disturbances. In the limit of long waves, t...