1.1.2. 随机性的刻画 为了刻画集合的随机性, 下面我们给出所谓 "伪随机" 的概念. 这些定义并不十分直观. 定义1.1.1.(伪随机性) 1. 称ν:[N]→R+为一个测度, 是指其期望满足E(ν)=1+o(1). 3. 称一个测度 度ν:[N]→R+为(m0,t0,L0)−线性型, 是指对任何m≤m0个线性函数ψi:[N]t→...
\begin{aligned} &\mathbb{E}_{x,h_1,h_2\in[N]}\nu(x)\nu(x+h_1)\nu(x+h_2)\nu(x+h_1+h_2)W(x,h_1,h_2)^2 \\ =&\mathbb{E}_{x,h_1,h_2,y,y'\in[N]}\prod_{i=1}^{12}\nu(\psi_i(x,h_1,h_2,y,y'))=1+o(1) \end{aligned} \\ 可由(12,5,2)-...
必应词典为您提供green-tao-theorem的释义,网络释义: 格林-陶定理;陶定理;
Workaround There is a breaking API change in Gradle 8.0. If you must use the greenDAO plugin, a bugfix release is available in preview. Original issue FAILURE: Build failed with an exception. * What went wrong: A problem occurred configu...
The province has also been exploring its eco-tourism resources, and aims to build an international eco-tourism destination. It will continue to step up ecological protection efforts to protect the environment, always putting the protection of lucid waters and lush mountains first, said Liu Tao, vi...
Tao, S. et al. Confining H3PO4 network in covalent organic frameworks enables proton super flow. Nat. Commun. 11, 1981 (2020). Article ADS CAS PubMed PubMed Central Google Scholar Wu, X. et al. Perfluoroalkyl-functionalized covalent organic frameworks with superhydrophobicity for anhydrous pr...
Today I've updated to version 3.1.1 When I launch the app, I make a request and pass the data to db. Since the new update I watch this warning, is it normal? Excuse for my english Rejecting re-init on previously-failed class java.lang.Cl...
Wendong Tao, Mohammad A.H. Badsha, Pubudu W. Arachchilage, Alsayed Mostafa15 January 2024 Article 148336 Article preview select article Revealing the roles of biochar derived from iron-rich fermented sludge residue in anaerobic digestion Research articleAbstract only Revealing the roles of biochar der...
Tao Chen School of Materials and Chemical Engineering, Xi’an Technological University, Xi’an, 710021, P. R. China Hongwei Zhou Frontiers Science Center for Flexible Electronics, Xi’an Institute of Flexible Electronics (IFE), Northwestern Polytechnical University, Xi’an, 710072, China Wei Huang...
下面我们将看到, 从任给的实函数F, 可以生成一个反 Gowers 函数DF: DF(x)=Eh∈[N]k−1∏0≠ω∈{0,1}k−1F(x+ω⋅h), DF也称为F的对偶函数. 引理3.1.1.设ν为k阶伪随机测度,F为实函数. (1)(F,DF)=‖F‖Uk−12k−1; ...