نتایج جستجو برای: k ε
تعداد نتایج: 389725 فیلتر نتایج به سال:
We show that the combinatorial complexity of a single cell in an arrangement of k convex polyhedra in 3-space having n facets in total is O(nk1+ε), for any ε > 0, thus settling a conjecture of Aronov et al. [5]. We then extend our analysis and show that the overall complexity of the zone of a low-degree algebraic surface, or of the boundary of an arbitrary convex set, in an arrangement of k con...
اخیرا سرریزهای پلکانی با شیب کم به علت مناسب بودن جهت اجرا بر روی سدهای خاکی مورد توجه قرار گرفته اند. مطالعات عددی کمی بر روی سرریزهای پلکانی با شیب کم صورت پذیرفته است. در این تحقیق، هیدرولیک جریان بر روی سرریز با روش دو فازی درهم (mixture) شبیه سازی گردید. برای توصیف آشفتگی جریان، از مدل یک معادله ای eddy viscosity، مدل های دو معادله ای k-ε، rng k-ε ، k-ω ، sst k-ω و مدل تنش رینولدز ω-rsm ...
We present an improvement on Thurley’s recent randomized approximation scheme for #k-SAT where the task is to count the number of satisfying truth assignments of a Boolean function Φ given as an n-variable k-CNF. We introduce a novel way to identify independent substructures of Φ and can therefore reduce the size of the search space considerably. Our randomized algorithm works for any k. For #3...
Strong final state interaction (FSI) effects can play a central role in the Standard Model prediction of weak K → 2π matrix elements. Here, I discuss how FSI's affect the direct CP violation parameter ε ′ /ε by solving the Omnès problem for the necessary K → 2π amplitudes. The main results of this analysis have been reported in a previous paper 1 and are further discussed in Refs. 2,3. The resu...
We study classic streaming and sparse recovery problems using deterministic linear sketches, including `1/`1 and `∞/`1 sparse recovery problems, norm estimation, and approximate inner product. We focus on devising a fixed matrix A ∈ Rm×n and a deterministic recovery/estimation procedure which work for all possible input vectors simultaneously. We contribute several improved bounds for these pro...
We extend a result of Ramaré & Rumely, 1996 [3] about Chebyshev function θ in arithmetic progressions. We find a map ε(x) such that | θ(x; k, l) − x/φ(k) |< xε(x) and ε(x) = O ( 1 lna x ) (∀a > 0) whereas ε(x) is a constant in [3]. Now we are able to show that | θ(x; 3, l)− x/2 |< 0.262 x lnx and, for x > 151, π(x; 3, l) > x 2 lnx .
Turbulent kinetic energy dissipation rates (ε) and eddy diffusion coefficients (K z) in the tropical mesosphere over Gadanki (13.5 • N, 79.2 • E), estimated from Doppler widths of MST radar echoes (vertical beam), observed over a 3-year period, show a seasonal variation with a dominant summer maximum. The observed seasonal variation of ε and K z in the mesosphere is only partially consistent wi...
We consider the semilinear equation ε(−∆)u+ V (x)u− u = 0, u > 0, u ∈ H(R ) where 0 < s < 1, 1 < p < N+2s N−2s , V (x) is a sufficiently smooth potential with infR V (x) > 0, and ε > 0 is a small number. Letting wλ be the radial ground state of (−∆)wλ +λwλ−w λ = 0 in H 2s(RN ), we build solutions of the form uε(x) ∼ k ∑ i=1 wλi ((x− ξ ε i )/ε), where λi = V (ξ ε i ) and the ξ ε i approach suita...
This paper presents new definitions which are a natural combination of the definition for asymptoticall equivalence and ∆−statistical convergence of sequences. Let θ = (k r) be a lacunary sequence. Then the sequences x and y are said to be [w] L θ,∆ −asymptotically equivalent of multiple L provided that for every ε > 0 lim r 1 h r k ∈ I r : t km (∆x k) t km (∆y k) − L ≥ ε = 0 .
Last time we proved the Leftover Hash Lemma, which states that if X is a random variable with universe U and H∞(X) ≥ k, ε > 0, and H is a universal hash family of size 2 with output length l = k − 2 log(1/ε), then Ext(x, h) = h(x) is a (k, ε/2) extractor with seed length d and output length m. In other words, Ext(x, h) extracts l bits from x that are ε-close to uniform, with ε = 12 √ 2−l. For a...
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