论文标题
部分可观测时空混沌系统的无模型预测
Extensions of democracy-like properties for sequences with gaps
论文作者
论文摘要
在\ cite {o2015}中,T。Oikhberg引入并研究了贪婪和弱贪婪算法的变体,用于序列的间隙。在本文中,我们将与这些算法有关的一些自然而然的概念扩展到存在差距的序列上下文。特别是,我们将考虑一系列自然数序列$ n_ {k+1} \ le \ c n_ {k} $或$ n_ {k+1} \ le \ le \ c+n_k $保持正常常数$ \ c $,并在其规定的情况下找到正常的对象。
In \cite{O2015}, T. Oikhberg introduced and studied variants of the greedy and weak greedy algorithms for sequences with gaps. In this paper, we extend some of the notions that appear naturally in connection with these algorithms to the context of sequences with gaps. In particular, we will consider sequences of natural numbers for which the inequality $n_{k+1}\le \C n_{k}$ or $n_{k+1}\le \C+n_k$ holds for a positive constant $\C$ and all $k$, and find conditions under which the extended notions are equivalent their regular counterparts.