极小值

This minimum is computed with the calculus of variations and the gradient descent method, which provide a system of evolution equations solved with the well-known level set method.

能量泛函的极小值由变分法求解，利用梯度下降法和水平集方法推倒演化方程。

How to deal with the restrictions of deep excavation is a very difficult problem. This paper analyzes the restrictions of pile-support structure detailedly, uses a castigatory function to deal with the restrictions, and adds the castigation to the function. Now the problem has changed to solve a minimal problem, and GA can be used to the optimal design successfully.

束条件的处理是遗传算法应用到深基坑支护结构优化的难题和重点，本文详细分析了桩撑支护结构的约束条件，采用了罚函数法对约束条件进行处理并反映到适应度函数上，使其变为无约束的极小值问题，从而使遗传算法得以顺利实施。

In the algorithm game tree method is used. The optimal location of chessman movement is searched by pruning and minimax value method.

五子棋博弈算法采用了博弈树的方法，应用了剪枝和极大极小值原理进行搜索寻找最优的下子位置。

Monsoon circulation index and Walker circulation index have good relationship with El Ni o weaken and La Nina ended in respectively.

分析发现季风环流强度指数极小值和Walker环流强度指数极大值的出现对SSTA转折均具超前性，因此，季风环流的变化对预报El Ni o减弱或La Nina结束及SSTA变化趋势具有一定的指示意义。

The minimum potential region of water vapor transport vector correspond to intense heavy rainfall region, and the water vapor convergence of the heavy rain region is supplied by the hemisphere scale water vapor transport, indicating that even for a regional severe flood it must gain water vapor supply from very extensive regions.

水汽通量的势函数极小值区对应强降水区，并且暴雨区的水汽辐合是由半球尺度的水汽输送造成，这表明，即使对于该年背景的区域性大暴雨/洪水，它也必须从极大范围地区获得水汽供应。1999年水汽辐合的中心位置较1998年偏东偏南，这使得1999年降水较1998年偏南。

The primary cosmic radiation that reaches the earth is minimum at periods of maximum solar activity.

在极大的太阳活动时期，到达地球的初级宇宙辐射是极小值。

The definitions of generalized directional derivative and generalized gradient of Lipschitz functions defined on Riemannian manifold are presented. Some properties of the directional derivative and gradient are proved by using tangent and cotangent mapping. The minimization necessary condition of nonsmooth Lipschitz functions is given. Moreover, Fritz John necessary optimality condition in mathematical programming is provided on Riemannian manifold.

在黎曼流形上给出了Lipschitz函数的广义方向导数和广义梯度的概念，利用黎曼流形局部上与欧氏空间开集微分同胚的性质以及切映射和余切映射导出了广义梯度的性质和运算法则，证明了定义在黎曼流形上的函数取得极小值的必要条件是广义梯度包含零元素，并利用这些性质给出了黎曼流形上数学规划问题的Fritz John型最优性条件。

The number of the extreme point can be efficiently extracted by use of the method and the number of the dark fringe can be obtained.Then the measurement of the chip warpage can be achieved.

由灰度曲线的极小值点个数得到暗条纹级数，从而获取芯片相对于基准面的翘曲程度，完成芯片的翘曲度测量。

The swarm of dimer searches launched from each minimum are independent and can be run on separate machines.

二聚体查寻法可以从各个独立的极小值开始在分布于世界各地的计算机上同时开始。

With regard to the over-segmentation of watershed algorithm and the characteristics of the slice images of the digitized Chinese No.1 female dataset,a new segmentation algorithm that can effectively eliminate local minima and noise disturber was presented.

针对分水岭算法存在的过分割问题以及VCH-F1切片图像的特点，提出了一种能够有效消除局部极小值和噪声干扰的分割方法。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。