在三维空间中，它甚至可以是一个鞍点。
比如说极大值、极小值以及鞍点。
There is maximum and there is minimum, but there is also saddle points.
并且拓广了广义鞍点的应用。
And enlarge the application of the generalized saddle point.
但是在虚拟平面上的鞍点应该环绕这里。
But the saddle point in the imaginary plane should convolute here.
这些鞍点代表电流的驻点。
These saddle points represent points of stagnation of the current flow.
首次给出并实现了鞍点量计算的公式算法。
A formula algorithm for saddle quantities is given and used for the first time.
同时，我们还建立了对偶理论及相关的鞍点理论。
Moreover, we develop corresponding duality theory and related saddle point theory.
越过马鞍点和前因子所需的能量决定该过程的速度。
The rate of a process is based upon the energy barrier required to cross the corresponding saddle point, and a harmonic prefactor.
求解矩阵中的马鞍点是计算机程序设计中的常见问题。
To solve the saddle point is the common problem in computer programming.
如果你从中间的鞍点开始，观察图像，并且试图总是呆在同一海拔。
And, if you look on the plot, say that you started at the saddle point in the middle and you try to stay at the same level.
本文研究高维系统连接三个鞍点的粗异宿环的分支问题。
In this paper, we study the bifurcation problems of rough heteroclinic loops connecting three saddle points for a higher-dimensional system.
当能量增加到鞍点能时，几乎所有的相空间轨迹都是混沌的。
When the energy is increased to the saddle point energy, nearly all the phase space trajectory is chaotic.
实验上推出来的鞍点核形状同液滴模型的理论予示作了比较。
A comparison is made for the shapes of experimental saddle point with the theoretical predictions by the liquid drop model.
在鞍点近似下，求得了系统的电子态密度和一些低温热力学量。
The electronic density of states (DOS) of the system as well as low temperature thermodynamic quantities are obtained under the saddle point approximation.
同时，根据鞍点出现条件，提出边坡混沌动力学演化预警标准。
Meanwhile, the chaotic dynamic evolution and early warning criterion of slopes are both put forward according to the condition of target point.
一个既不是局部极大点又不是局部极小点的平稳点称为一个鞍点。
A stationary point which is neither a local maximum nor a local minimum point is called a saddle point.
研究广义状态系统中线性二次型微分对策鞍点策略的数值求解问题。
This paper studies the numerical problem of the saddle point strategy for linear quadratic differential game in generalized state systems.
但这种办法并不普遍，只能用于二元函数，来判断是极小值点、极大值点还是鞍点。
I should say that is for a function of two variables to try to decide whether a given critical point is a minimum, a maximum or a saddle point.
方法通过广义鞍点的性质并结合择一定理，得到有关充分条件和必要条件。
Methods Using the properties of saddle point and alternative theorem, the sufficient and necessary conditions of a super efficient point being a generalized saddle point are obtained.
同时讨论了弱对偶性、强对偶性及逆对偶性，证明强对偶性等价于鞍点准则。
It is proved that the strong duality is equivalent to the saddle point criterion.
当前美联储观察失业率时，考虑的不是高科技的东西了，而是来自于数学里的术语：“鞍点”。
When Fed officials look at unemployment just now, they think not of rockets but of a different term from the world of maths: a “saddle point”.
考虑了广义二次规划问题，基于其鞍点的充要条件，提出了求解它的一个神经网络。
This paper considers the extended quadratic programming problem. Based on the necessary and sufficient conditions for a saddle point, a neural network for solving it is proposed.
给定数据(不是图形)，六西格玛黑带应能确定驻点是最大值、最小是还是马鞍点。
Given data (not graphics), the Six Sigma Black Belt will be able to determine if the stationary point is a maximum, minimum or saddle point.
本文指出了鞍点定理的推论的数学结果是不正确的，并进而讨论了鞍点的存在条件。
This paper points out that the mathematical result of the corollary of the saddle point theorem is incorrect, and further are discussed the conditions about the existence of the saddle point.
在射流孔区域靠近叶片表面处流场结构中鞍点数和结点数相等，满足奇点总数规律。
The number of saddle is equal to that of node in the region of injection hole in tip platform, which satisfies the singularity point total number.
传统的基于距离变换的骨架算法不能保证骨架的连通性，需要引入鞍点解决连通问题。
The traditional skeletonization algorithms based on distance transform can not guarantee the connectivity property, so saddle points should be added to solve the connectivity problem.
在主要的冲程里，系统将规律性地沿着从一个马鞍点到另一个马鞍点的方向高度分化。
In broad strokes, a system is advanced along a series of minimum energy configurations which are all separated from one another by one first order saddle point.
鞍点逼近法是一个非常有效的逼近工具，它可以获得密度函数和分布函数的逼近函数。
Saddlepoint approximations are powerful tools for obtaining accurate expressions for densities and distribution functions.
在裂变过程中，解释非对称性和非各向同性时，奇宇称形状振荡在鞍点谱中起主要作用。
The occurrence of odd-parity shape oscillations in the saddle-point spectrum plays an important role in the interpretation of asymmetry and anisotropy in the fission process.
在裂变过程中，解释非对称性和非各向同性时，奇宇称形状振荡在鞍点谱中起主要作用。
The occurrence of odd-parity shape oscillations in the saddle-point spectrum plays an important role in the interpretation of asymmetry and anisotropy in the fission process.
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