查询词典 metrically convex subset

Quasi-convex relaxation algorithm, which aims to solve ordinary constraint global optimization problems, is produced by a combination of branch-and-bound method with quasi-convex lower bound and quasi-concave upper bound functions developed from quasi convex-concave extension. This algorithm extends the interval algorithm with box constraint to general constraint global optimization problem.

利用拟凸-凹扩张中构造出的函数的拟凸下界函数和拟凹上界函数，与分枝定界方法相结合，建立了求一般约束全局优化问题的拟凸松弛算法，这一算法是将盒子约束的区间算法推广到一般约束优化问题中。

This article outlines the progress of ancient Chinese lenses from the Pre-Qin Period to the Five Dynasties, and discusses mainly two arguments: First, the"yangsui" recorded and narrated in Lun Heng by Wang Chong of Eastern Han Dynasty may be a plano-convex glass lens; secondly, the"four mirrors" recorded and narrated in Tanzi Hua Shu by Tan Qiao of Southern Tang Dynasty may be a plano-convex lens, a biconvex lens, a transparent planeparallel plate and a concave-convex lens respectively, but what kind of tra...

本文概述了中国古代透镜从先秦到五代的发展进程，着重从古代文献和出土文物的研究出发，结合中国古代社会经济发展水平，论证了东汉王充《论衡》中记述的阳燧可能是玻璃平凸透镜；论证了南唐谭峭的《谭子化书》中记述的&四镜&可能是平凸透镜、双凸透镜、平光镜和凹凸透镜。作者认为《谭子化书》&四镜&段可能实际上是对中国古代透镜发展的阶段性总结。

The intra-subset complementary codes have ideal correlation properties and the inter-subset complementary codes have approximately ideal correlation properties.

这些子集内的码具有理想的相关性能，同时子集之间的码具有近似理想的相关性能。

We proved that there exists a dense G (subscript δ) subset of the complete metric space consisting of the vector optimization problems satisfying some conditions ,and each problem in the dense G (subscript δ) subset has stable solution set, which generalized the corresponding results in the literature.

证明了满足一定条件的向量优化问题构成的完备度量空间中，存在一个稠密G集，在此稠密集中每个问题的解集都是稳定的，推广了文献中的相应结果。

Further some equivalent conditions for a trivial algebra are given, and that the mapping which maps the subset of the universal to the maximal congruence that saturates the subset being a -homomorphism, being order preserving, being constant mapping, the algebra being trivial are equivalent is proved.

最后利用该同余给出了关于平凡代数的几个等价条件，证明了泛代数的子集到渗透该集的最大同余的映射为保序映射、该映射为-同态、该泛代数平凡等是等价的。

Paul Erds once posed the following problem about real line R: is it true that, for every infinite set X, there is a closed set E with positive lebesgue measure such that E doesn't contain any subset similar to X (I.e., there is no subset of E, which is a linear homeomorphic image of X). In 1984, K. J. Falconer proved the following: for a decreasing sequence of positive numbers {xn} such that \%lim\%xn=0 and \%lim\%(xn+1)/=1, Erds problem has a partial positive answer.

叶盛 Paul Erds曾提出如下关于实直线R的问题：是否对R的每一个无限子集X，都存在一个具有正测度的闭子集E，使得E的任何子集都不相似于X(E的任何子集都不与X线性同胚)。1984年，Falconer证明了如下结论：对于一个满足limxn=0和lim(xn+1)/=1的单调递减的正实数列{x n}，Erds问题有一个部分肯定的解答。

In this method, all stable sub-intervals in the training sequence were located for each pixel as possible background. Then a classify data set was constructed by the median values of each subinterval. A background subset was obtained from the data set by unsupervised clustering. Accordingly the initialized background was obtained from the background subset.

首先利用滑动可变窗口检测每个像素的所有不重叠平滑子序列，获取可能背景；然后选择每个平滑子序列的中值样本点构建分类序列集，根据未知类别的无监督聚类识别思想获取背景子集，实现背景初始化。

Genius is a subset of human nature, just as neurotics are a subset of human nature.

天才是人类本质的一种，正如神经病是人类本质的一种一样。

From the analysis, we can conclude that at least three aspects will cause cross-cultural pragmatic failure: a. The intersection of pragmeme subset A and pragmeme subset B is an empty set; b. Interlocutor A's pattern of pract elements coupling is different from that of interlocutor B's; c. The outranging of allopract causes the transferring from a pragmeme to another pragmeme. The three aspects of pragmeme theory enrich the studies on cross-cultural pragmatic failure.

通过分析，我们得出跨文化语用失误的原因有三：第一，交际者双方对于某一语用行为的语用位交集为空集时会导致跨文化语用失误；第二，交际者双方选择的语用素集合中元素之间耦合方式不相同时会导致跨文化语用失误；第三，交际者一方的语用变体超出对方语用位范畴时会导致跨文化语用失误。

The IKONOS data of Beijing Yuanmingyuan is fused with Tasseled Cap and PCA methods.The fusion results are analyzed and compared with full image and vegetation subset.The result shows that,in study area,the KT fusion method is better than PCA in full image and vegetation subset.The fusion results are differential with different KT transformation matrix,and the method of fusion should be chosen according to study area,data,and classification methods.

应用缨帽变换和主成分分析方法，对北京圆明园周围的IKONOS全色波段和多光谱波段进行融合，并分别对整景影像和植被区的融合结果进行对比研究，结果表明：在该实验区，整景影像和植被区缨帽变换融合结果都优于主成分析结果，不同的缨帽变换系数矩阵在整景影像和植被区融合质量会有差别，应根据具体地点、时相，分类方法做适当的选择。

Listen,point and check your answers.

听，指出并且检查你的答案。

Warming needle is one of effective treatment methods for knee arthralgia aggravated by cold,and it is simple,safety,so it should be developed in clinical acupuncture and moxibustion extensively.

但以本院科针灸门诊在2005年1月—2006年6月期间共收治膝痛患者100余例，经过临床的诊断后，其中施以温针治疗的48例，疗效显著，报道如下。1临床资料本组病例48