Tektitesedited by V. E. Barnes and M. A. Barnes
نویسندگان
چکیده
منابع مشابه
Barnes-Hut-SNE
The paper presents an O(N logN)-implementation of t-SNE — an embedding technique that is commonly used for the visualization of high-dimensional data in scatter plots and that normally runs in O(N). The new implementation uses vantage-point trees to compute sparse pairwise similarities between the input data objects, and it uses a variant of the Barnes-Hut algorithm to approximate the forces be...
متن کاملAsymptotics and Mellin-Barnes Integrals
A catalogue record for this book is available from the British Library.
متن کاملTheory of Barnes Beta distributions
A new family of probability distributions βM,N , M = 0 · · ·N, N ∈ N on the unit interval (0, 1] is defined by the Mellin transform. The Mellin transform of βM,N is characterized in terms of products of ratios of Barnes multiple gamma functions, shown to satisfy a functional equation, and a Shintani-type infinite product factorization. The distribution log βM,N is infinitely divisible. If M < N...
متن کاملPractical Decoders for Barnes-wall Lattice Constellations∗
EXTENDED ABSTRACT. In 2008, Micciancio and Nicolosi [1] have proposed a low-complexity algorithm to decode the infinite Barnes-Wall lattice BW2m ⊂ C2m for any m ≥ 1 such that the worst-case complexity is O ( N log(N) ) where N = 2. More recently, Construction A′ [2] of Barnes-Wall lattices has been proposed wherein the BW2m can be obtained as BW2m = (1+ i) mZ[i]2m ⊕L2m such that L2m is a cubic-...
متن کاملEvaluating multiloop Feynman integrals by Mellin-Barnes representation
When calculating physical quantities that describe a given process one needs to evaluate a lot of Feynman integrals. After a tensor reduction based on some projectors (see, e.g., [1]) a given Feynman graph generates various scalar Feynman integrals that have the same structure of the integrand with various distributions of powers of propagators. A straightforward analytical strategy is to evalu...
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ژورنال
عنوان ژورنال: Journal of Applied Crystallography
سال: 1974
ISSN: 0021-8898
DOI: 10.1107/s0021889874009733