查询词典 in the saddle

Systems of inqualities,the minimum or maximum of a convex function over a convex set,Lagrange multipliers,and minimax theorems are among the topic treated,as well as basic results about the structure of convex sets and continuity and differentiability of convex functions and saddle-functions.

其中对不等式系统、凸集上的凸函数的极小或极大、拉格朗日乘子和极小极大定理做了专题论述，同时对凸集的结构和连续性以及凸函数的可微性和鞍点函数的基本结果做了介绍。

The instant Halely touched the saddle, the mettlesome creature bounded from the earth with a sudden spring.

海利一跨上马鞍，那匹烈性子的小马就突然从地面腾空而起。

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。

The result indicates that equilibrium point that is temporary minimum is saddle point.

系统的平衡点即临时极小点为鞍点。

The proud Paladin removed his helmet and set it on the pommel of Mirador's saddle.

重视名誉的圣骑士取下他的头盔，把它放在米兰达的马鞍的鞍桥。

Tirion walked Mirador around to the back of the tower and drew his heavy bastard sword from the scabbard attached to his saddle.

提里奥牵着马绕到塔后，一边从马鞍边抽出了他的重剑。

Though I have to say that a saddle is a mite more comfortable than these benches.

尽管我不得不说一个马鞍是比这些长椅子更舒适的小东西。

The Moment Generating Function of decision variable and a saddle point approximation method are exploited to analyze the BER performance of FD-SS-CLDD, and the theoretical results are evaluated by simulation.

通过利用判决变量的矩生成函数，并采用鞍点近似的分析方法，得到了频域扩频码片级差分检测的误码率性能的解析表达式，同时进行了仿真验证。

By using saddle point reduction and Morse theory,we obtain an existence theorem of three periodic solutions for this equation.By means of E~+-Morse theory established by A.

本章还首次应用临界点理论研究中立型泛函微分方程的次调和解，在变分泛函中允许含有时滞变量，从而给出了研究这类方程周期解的新途径。

Given a mesh, we first solve a Poisson equation to construct a scalar field and use it to generate some critical points. The cutting paths between the critical points and the boundaries are solved in the Poisson scalar field using the deepest descent method. For meshes with nonzero-genus, we construct a Harmonic scalar field, and connect the saddle points with the boundaries based on the Morse theory.

对于给定的任意网格，通过求解泊松方程构造标量场来选取临界点，并采用最速下降法给出临界点到边界或者初始点的切割路径；对于亏格不为零的网格，基于Morse理论，通过构造一个调和标量场来得到鞍点，并将它们连接到边界。

Liapunov—Schmidt method is one of the most important method in the bifurcation theory.

Liapunov—Schmidt方法是分叉理论的最重要方法之一。

Be courteous -- even when people are most discourteous to you .

要有礼貌──即使当別人对你最不礼貌的时候。