查询词典 minimal

Two-dimensional scatter plot of principal axes analysis,systematic cluster tree and the minimal spanning tree on the basis of niche overlaps were drawn,which revealed the ecological similarity of 42 moss species.The combinative application of principal axes analysis,systematic cluster analysis and minimal spanning tree method on the basis of niche overlaps could express the ecological similarities among species intuitively.

以此为指标，分别应用主坐标排序、图论聚类及系统聚类分析方法，作出了反映42种地面藓类的种间生态关系的二维投影图、最小生成树和动态聚类图。3种方法相结合，能够对生态位重叠值矩阵进行直观地表达，并使所表达的藓类种间关系具有确切的生态学含义。

Setting forth the realization method by hardware for searching minimal cutset of a graph with N-SearCut model. Then this method affords theory and practice fundament for solving this puzzle of searching for minimal cutset in reliability evaluation of power system.

提出了运用N-SearCut神经网络模型搜索图最小割集的全硬件实现方法，为更理想地解决网络可靠性评估中出现的最小割集搜索这一瓶颈问题提出了新的思路，提供了理论和实践依据。

We newly define the minimal broadcasting graph in f mode, and prove the rationality of the definition. We study the essential characters of the minimal f-broadcasting graph and the especial qualities in an special f, which is familiar in the competition self-combination network.

针对f模式重新定义了极小广播图，并证明了定义的合理性；讨论了极小f广播图的基本性质并针对竞争自组网中一种常见的f模式讨论了其特殊性质。

E. MCNG-ISOMAP (Minimal Connected Neighborhood Graph-based ISOMAP), which can prune effectively "shortcut" edges, existed possibly in the neighborhood graph, based on that the minimal connected neighborhood graph can avoid "shortcut" edges effectively.

该算法能在一定程度上避免邻域大小难以有效选取的问题，同时还能在不依赖于邻域大小的情况下发现数据真正的固有维数。

In this chapter the model of minimal perturbation constraints nonlinear programming is established, and the concept of the minimal perturbation efficient solution is introduced.

在研究模型中的较多约束集的结构表示的基础上，给出了较多约束最优解要满足的Fritz John条件和Kuhn-Tucker条件。

We have proved that there exist only one type of cubic polynomial thermal minimal surface. Some basic properties of it have been discussed and the free-selfintersect region is given. In additional, the quartic minimal surface is discussed.

在本文中我们从等温参数化出发，利用等温参数极小曲面的调和性质讨论了参数多项式极小曲面的存在性和唯一性问题，证明了三次等温参数多项式极小曲面的唯一性，给出了高次参数多项式曲面是极小曲面的一个条件，并在此基础上给出了若干高次参数多项式极小曲面的例子。

This paper begin with a review of curves and surfces modeling, then we discuss the parametric polynomial minimal surface. This is followed by a discussion of the representations of catenoids and helicoids. Next, we discuss the numeric approximations to the minimal surfaces with piecewise polygons and B-Spline surfaces.

全文安排如下首先，我们简要回顾曲面造型历史和发展现状在第二和第三章，讨论参数多项式极小曲面；在第四章讨论悬链面和螺旋面的表示；在第五章讨论极小曲面的分片线性逼近；在第六章讨论极小曲面的B-样条逼近；最后，我们对全文做简单的总结。

This paper introduces the concept of minimal perturbation efficient solution in minimal perturbation constraints programming.

文中引进了极小扰动约束规划的极小扰动有效解概念。

In chapter two, under non-Lipschitz condition, the existence and uniqueness of the solution of the second kind of BSDE is researched, based on it, the stability of the solution is proved; In chapter three, under non-Lipschitz condition, the comparison theorem of the solution of the second kind of BSDE is proved and using the monotone iterative technique , the existence of minimal and maximal solution is constructively proved; in chapter four, on the base of above results, we get some results of the second kind of BSDE which partly decouple with SDE, which include that the solution of the BSDE is continuous in the initial value of SDE and the application to optimal control and dynamic programming. At the end of this section, the character of the corresponding utility function has been discussed, e.g monotonicity, concavity and risk aversion; in chapter 5, for the first land of BSDE ,using the monotone iterative technique , the existence of minimal and maximal solution is proved and other characters and applications to utility function are studied.

首先，第二章在非Lipschitz条件下，研究了第二类方程的解的存在唯一性问题，在此基础上，又证明了解的稳定性；第三章在非Lipschitz条件下，证明了第二类BSDE解的比较定理，并在此基础上，利用单调迭代的方法，构造性证明了最大、最小解的存在性；第四章在以上的一些理论基础之上，得到了相应的与第二类倒向随机微分方程耦合的正倒向随机微分方程系统的一些结果，主要包括倒向随机微分方程的解关于正向随机微分方程的初值是具有连续性的，得到了最优控制和动态规划的一些结果，在这一章的最后还讨论了相应的效用函数的性质，如，效用函数的单调性、凹性以及风险规避性等；第五章，针对第一类倒向随机微分方程，运用单调迭代方法，证明了最大和最小解的存在性，并研究了解的其它性质及在效用函数上的应用。

This paper study the character and application of the solution of BSDE, the main results include: for the second kind of BSDE, the existence and uniqueness of the solution under non-Lipschitz condition, comparison theorem and stability are established , under weaker condition , the existence of the minimal and maximal solution is proved and the application in stochastic control and utility function is given; for the first kind of BSDE, under weaker condition , the existence of minimal and maximal solution .stability, comparison theorem and application to utility function are proved.

本文研究倒向随机微分方程解的性质及其应用，主要结果有：针对第二类方程，讨论了在非Lipschitz条件下倒向随机微分方程解的存在唯一性，比较定理及稳定性等，在更弱条件下，得到了倒向随机微分方程的最大解和最小解的存在性，在此基础之上，给出了在随机控制及效用函数方面的应用；针对第一类方程，同样在较弱条件下，证明了方程最大、最小解的存在性、稳定性、比较定理及其在效用函数的应用。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。