Results 1 to 10 of about 3,701 (139)
Pseudorandom Number Generators and the Square Site Percolation Threshold [PDF]
, 2008 A select collection of pseudorandom number generators is applied to a Monte Carlo study of the two dimensional square site percolation model. A generator suitable for high precision calculations is identified from an application specific test of ...
B. Bollobás +10 more
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Fermat, Leibniz, Euler, and the gang: The true history of the concepts of limit and shadow [PDF]
, 2014 Fermat, Leibniz, Euler, and Cauchy all used one or another form of approximate equality, or the idea of discarding "negligible" terms, so as to obtain a correct analytic answer.
David Sherry +10 more
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Hyperfinite-dimensional subspaces of the nonstandard hull of 𝑐₀ [PDF]
Proceedings of the American Mathematical Society, 1980 Let c ^ 0 {\hat c_0} be the nonstandard hull of the Banach space c 0 {c_0} formed with respect to an ℵ 1 {\aleph _1} -saturated extension.
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Compactness of powers of \omega
, 2013 We characterize exactly the compactness properties of the product of \kappa\ copies of the space \omega\ with the discrete topology. The characterization involves uniform ultrafilters, infinitary languages, and the existence of nonstandard elements in ...
Lipparini, Paolo
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Hyper-extensions in metric fixed point theory [PDF]
, 2014 We apply a modern axiomatic system of nonstandard analysis in metric fixed point theory. In particular, we formulate a nonstandard iteration scheme for nonexpansive mappings and present a nonstandard approach to fixed-point problems in direct sums of ...
Wiśnicki, Andrzej
core
Some properties of nonstandard hulls of Banach algebras
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Baratella, Stefano, S. A. Ng
openaire +4 more sources
Concatenation theorems for anti-Gowers-uniform functions and Host-Kra characteristic factors
, 2016 We establish a number of "concatenation theorems" that assert, roughly speaking, that if a function exhibits "polynomial" (or "Gowers anti-uniform", "uniformly almost periodic", or "nilsequence") behaviour in two different directions separately, then it ...
Tao, Terence, Ziegler, Tamar
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On the Coverage Bound Problem of Empirical Likelihood Methods For Time Series [PDF]
, 2014 The upper bounds on the coverage probabilities of the confidence regions based on blockwise empirical likelihood [Kitamura (1997)] and nonstandard expansive empirical likelihood [Nordman et al.
Shao, Xiaofeng, Zhang, Xianyang
core
, 2011 A circle C holds a convex body K if C does not meet the interior of K and if there does not exist any euclidean displacement which moves C as far as desired from K, avoiding the interior of K.
Fruchard, Augustin
core +1 more source
Bidual as a weak nonstandard hull
, 2008 We construct the weak nonstandard hull of a normed linear space X from *X (the nonstandard extension of X) using the weak topology on X. The bidual (i.e. the second dual) X" is shown to be isometrically isomorphic to the weak nonstandard hull of X.
openaire +2 more sources