查询词典 set point

Sequential dynamical system; functional digraph ; orbit ; width ; periodic point ; fixed point ; invertible ; matrix ; Markov chain ; adaptive ; acyclic orientation ; word ; C-pseud independent set ; random graph

南开大学；郑洁贯序动力系统；像图；轨道；宽度；周期点；固定点；可逆；矩阵；马氏链；适应；无圈定向；字； C-伪独立集；随机图

Boundary polynomial point interpolation mesh-free method and boundary radial point interpolation mesh-free method were presented, based on polynomial basis and radial basis respectively for transient eddy current analysis, and their interpolation shape functions satisfy the Kronecker delta function and the essential boundary conditions can be directly imposed on the boundary nodes. An example on analyzing transient eddy current of a square metal column was set to prove the validity of the proposed methods, and a comparison on accuracy between BPPIM and BRPIM was analyzed as well.

运用多项式点插值法和径向基点插值法构造形函数，推导了适合于工程电磁场瞬态涡流问题的多项式基点插值边界无单元方法和径向基点播值边界无单元方法，这两种方法的空间插值形函数满足Kronecker delta条件，从而强加边界条件可以直接施加在边界点上，以金属长方柱的瞬态涡流分析作为数值算例，证实了两种方法的正确性和有效性，并对两种基类的点插值法进行了精度分析和比较。

It has been proved that if example set is of lattice point distribution the example set can be memorized by a fuzzy neural network, otherwise the fuzzy neural network will lost its memory.

通过定理，证明了在这种情况下，样本组可被模糊神经网络所记忆；证明了若样本组前n-1个样本和整个样本组的模糊矩阵的秩相等，则权向量不能调整，否则会使模糊神经网络"丧失记忆"。

When the mean square deviation between point set obtained by iteration and attractor become the minimum, the prediction value can be used as the function value of the point to be extrapolated.

该算法利用内区间的迭代函数系和吸引子由特定初始点进行搜索，通过迭代使得到的点集与吸引子的均方偏差最小，从而获得需要外推点的函数值作为预测值。

First, based on the research of vocality art and vocalization, I discuss how to set up reasonable aesthetics concept on tenor"s voice, then expatiate on the characteristics,of the tenor"s voice in bel canto and the theoretic significance of setting up reasonable sound aesthetics concept. This essay is mainly on the way and key point of constructing tenor" s voice, especially solving the core problem of alt skill. The essay argues that the construction of tenor" s voice is based on the mediant and undertone sections; finding the phonate source, practice step by step, surrounding the point , string and side of the voice; train the students using suitable vowels according to the students with different characteristics ; emphasizing that ten essential words are the golden key to solution of the core problem in the "closing " method.

首先从研究声乐艺术和发声方法的指导思想和出发点着手，探讨了如何建立科学的男高音声音审美观；进而阐述了美声唱法中男高音的声音特点及建立科学审美观的理论指导意义；本文着重提出了构建男高音声音的方法与要领(特别是解决高音技术这一核心问题)，本文认为男高音声音构建先以中、低声区为基础，从找发声点开始，围绕声音的点、线、面逐一训练，同时根据不同特点的学生选择合适的母音进行训练，强调了"关闭"唱法中十字要领是解决核心难点的金钥匙。

At first, the existence of extended form of approach to continuous selection for any set valued mapping without any continuity restriction in para-compact metric space is proved ;by the topologically separated mappings , the approximate selection theorem of sub-lower-semi-continuous mapping is established, furthermore , continuous selection problem in H-space is studied. Next, with W-correspondence, an improved variational inequality is obtained ; by the H-KKM mapping ,Ky Fan\'s minimax inequality is generalized to H-space . At last, with H-convexity instead of the linear topological structure, a new version of Browder fixed point theorem is established.Chapter 3 deals with set-valued mapping vector variational inequality and minimax problems.

第二章首先在仿紧的度量空间上对任意的集值映射建立了新的逼近连续选择定理，利用映射的拓扑可分性，在H-空间上建立了次下半连续映射的逼近连续选择定理和一个新的连续选择定理；然后利用W-对应，在H-空间上建立了广义的变分不等式；利用H-KKM映射，在H-空间上建立了广义的KyFan极小极大不等式；最后，利用H-凸性代替拓扑线性结构，在H-空间上建立了一个新型的Browder不动点定理。

In order to study vector-valued optimization problem, in chapter 5, a class of vector -valued function, that is, uniformly same-order set-valued function is introduced , which includes the separated functions as its proper subset; without hypothesis of convexity, new minimax theorem and saddle point theorem for uniformly same-order set-valued function are established. Next, by employing Ky Fan\'s lemma and H-KKM mapping , several existence results for generalized vector equilibrium problem established.

为了研究向量优化问题，作为可分函数的推广，第五章引入了一致同阶集值函数类，在没有凸性条件的假设下，对一致同阶集值函数建立了新的极小极大定理与鞍点存在定理；利用H-KKM映射，对一般向量均衡问题建立了(来源：A73BcbC论文网www.abclunwen.com)几个存在性定理；最后讨论了集值向量均衡问题系统，利用集值映射的拟凸性，在较弱的条件下证明了解的存在性。

If a is a nonperiodic recurrent point and there is a period point in orb, orb doesn't contain an innumerable scrambled set.

结果 a是符号空间中的非周期回复点，且orb包含一个子转移σ的周期点，则orb不包含一个不可数混乱集。

From this point of view,it ispointed out that there are two kinds of commonalities among diverse prob-lems,one is the relative commonality and the other is the homogenous co-mmonality,and it is advanced that the approach to effectively make useof the relative commonality is to divide models suitably and to set up theorganic relation between models convenient to their composite conection oncondition that models are shared,and the approach to effectively make useof the homogenous commonality is from the view point of different problemsneeding their special models for solving,to convert their special modelrepresentation to comparatively general model depth representation on theprinciple of independence and share of commonality.The articles in thepast has made deep and complete research on model management in aspectssuch as model division and compositive conection,and a number of theoriesand methods are provided,but none of them is in relation to model depthrepresentation.

从这一角度出发，作者指出，在多样性问题中存在两种共性，一种是问题相关共性，另一种是问题同构共性，并提出有效利用问题相关共性的方法是在实现模型共享的前提下对模型进行合理划分和建立便于模型复合联接的各模型之间的有机联系，而有效利用问题同构共性的方法则是从不同问题求解本质上需要的专用模型出发，根据独立与共享原理，将这些专用模型表示转化成较为通用的模型深层表示，以往的文献在模型划分、复合联接等诸方面对模型管理进行了较为深入全面的研究，并从这一角度提出了许多模型表示的理论和方法，但对模型深层表示方面尚没有涉足。

In point set topological theory, open set and neighborhood are the basic concept.

在点集拓扑理论中，开集、域等是最基本的概念。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。