Results 1 to 10 of about 618,048 (272)
Transfinite Approximation of Hindman's Theorem [PDF]
Hindman's Theorem states that in any finite coloring of the integers, there is an infinite set all of whose finite sums belong to the same color. This is much stronger than the corresponding finite form, stating that in any finite coloring of the ...
Beiglböck, Mathias, Towsner, Henry
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Approximate Central Limit Theorems [PDF]
15 ...
Berckmoes, B., Molenberghs, Geert
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Goldstone Theorem in the Gaussian Functional Approximation to the Scalar $\phi^{4}$ Theory [PDF]
We verify the Goldstone theorem in the Gaussian functional approximation to the $\phi^{4}$ theory with internal O(2) symmetry. We do so by reformulating the Gaussian approximation in terms of Schwinger-Dyson equations from which an explicit demonstration
Dmitrašinović, V. +2 more
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Typos and example achieving lower bound fixed, decomposition of interleaving ...
Dejan Govc, Primoz Skraba
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Gaussian approximation of suprema of empirical processes [PDF]
This paper develops a new direct approach to approximating suprema of general empirical processes by a sequence of suprema of Gaussian processes, without taking the route of approximating whole empirical processes in the sup-norm.
Chernozhukov, Victor +2 more
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Parametrix for the localization of the Bergman metric on strictly pseudoconvex domains [PDF]
We give the parameter version of localization theorem for Bergman metric near the boundary points of strictly pseudoconvex domains. The approximation theorem for square integrable holomorphic functions on such domains in the spirit of Graham-Kerzman is ...
Lewandowski, Arkadiusz
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Formal and convergent solutions of analytic equations [PDF]
We provide the detailed proof of a sharpened version of the M.
Płoski, Arkadiusz
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Kronecker’s approximation theorem
By elementary algebraic/arithmetic reasoning \textit{L. Kronecker} [Berl. Ber. 1884, 1179--1193 (1884; JFM 16.0083.02)] proved: Theorem A. Let \(A\) be an \(N \times M\) matrix with real entries, and let \(\alpha\in \mathbb R^N\) . Then the following two assertions are equivalent: 1.
Steven M. Gonek, Hugh L. Montgomery
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On martingale approximations and the quenched weak invariance principle [PDF]
In this paper, we obtain sufficient conditions in terms of projective criteria under which the partial sums of a stationary process with values in ${\mathcal{H}}$ (a real and separable Hilbert space) admits an approximation, in ${\mathbb{L}}^p({\mathcal ...
Cuny, Christophe, Merlevède, Florence
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The Weierstrass theorem on polynomial approximation [PDF]
Summary: A simple proof of the Weierstrass approximation theorem on a function continuous on a compact interval of the real line is given. The proof is elementary in the sense that it does not use uniform continuity.
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