查询词典 saddle point

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。

The question of searching characteristic points or straight lines on moving rigid body is decomposed into two relatively independent sub-questions. The first one is to evaluate the characteristic of points and straight lines on moving rigid body, whose mathematics model is a kind of special non-differential max-mini optimal problem with inequality constraints. By the method of Saddle-point Programming and maximum entropy, the problem can be transformed as a differential optimal problem with single objective. The second oner is to search approximative character points or straight lines on moving rigid body within design space, whose mathematic model is nonlinear and non-differential problem with multiple constraints.

本文将在运动刚体上寻找特征点或直线的优化问题分解为两个相对独立的子问题，一是对运动刚体上点或直线的特征性评定，其实质是平面曲线的圆度或直线度的评定问题，优化模型是以最大误差为最小作为优化目标的约束不可微的优化问题，本文采用鞍点规划和极大熵方法，将其转化为单目标可微优化模型；二是在设计空间内，寻找运动刚体上特征性评定指标最小的近似特征点或直线，其优化模型是非线性、多约束的不可微优化问题，本文提出用遗传算法和BFGS局部搜索法相结合来求解。

It includes the undertermined fundamental frequency approaching zero and the collision of the periodic orbit with the saddle point.

然后分别依据系统的待定固有频率趋于零和周期轨道趋近于鞍点两条途径获得了强非线性振动条件下系统同宿分岔的解析判据。

Transform from wavenumber domain to space domain can be realized through the saddle point method and phase integral.

波数域到空间域的变换可以通过鞍点法和相位积分来实现。

The concepts to be introduced include, but are not limited to, the random phase approximation, the mean field theory (aka saddle-point, or semiclassical approximation), the tunneling dynamics in imaginary time, instantons, Berry phase, coherent state path integral, renormalization group..

这些方法主要涉及如无规相近似、平均场理论(aka 鞍点或半经典理论)、虚时间中的隧道动力学、瞬子、贝里相、相干态路径积分及重整化群等概念。

Show that in the overdamped regime, the saddle point equation δS /δθ= 0 can be satisfied

在 这情况下，用尺度估计，可以证明动能项mθ2 / 2 是小于

On this basis a pure strategy solution under the condition of grey number position degree was defined and the necessary and sufficient conditions for the existence of the pure strategy solution, or the grey position saddle point were derived.

在此基础上，定义了灰数势意义下的纯策略解，且证明了这一纯策略解存在的充要条件。

We have developed a method for doing this, using the dimer method for saddle point finding combined with the kinetic Monte Carlo to advance the system over barriers.

我们设计了一种寻找马鞍点二聚物法与蒙特卡罗法相结合的方法。

We calculate the positions and the widths of 21 2P 0 resonances in BeⅡ between 1 1S 0 and 2 1P thresholds with a saddle point complex rotation method.

利用鞍点复转动的方法，计算了21个位于BeⅡ的11S和21P阈值之间的2P0自电离态，得到了包括相对论修正和质量极化修正在内的共振能量和宽度。

Nonsingular H-matrix; generalized H-matrix; eigenvalue; numerical radius; matrix splitting; saddle point problem; Krylov subspace method; preconditioning technique

基础科学，数学，代数、数论、组合理论非奇H-矩阵；广义H-矩阵；特征值；数值半径；矩阵分裂；鞍点问题； Krylov子空间法；预处理技术

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。