极小

In summary, the drive current by Alfvén waves can be enhanced by plasma rotation The negative magnetic shear is favorable for the efficiency of the current drive by Alfvén waves Moreover, in the reversed shear configuration the current drive due to Alfvén waves in an rotation plasma can obviously change the plasma current profile The Alfvén wave current drive may be useful in controlling the current profile in order to suppress magnetohydrodynamic instabilities.

另外，我们还发现负剪切区域愈大，同时安全因子极小值q〓愈小，对阿尔芬波电流驱动愈好。总之，等离子体极向旋转能够增强阿尔芬波电流驱动，负磁剪切对阿尔芬波电流驱动是有利的。另外，反磁剪切位形下旋转等离子体的阿尔芬波电流驱动可以明显改善等离子体电流剖面。

To obtain quadratical convergence, however, strict complementarity condition at the Danskin point was used. The condition is too strict to be satisfied in many practical problems such as discrete semi-infinite minimax problem. Another kind of Newton method for finite minimax problems was presented by E. Polak and, without strict complementarity at the Danskin point, superlinear convergence (of order 3/2) was proven.

Polak等人提出了一种直接求解极大极小问题的二阶收敛的牛顿法，但是为获得二阶收敛速度要求在Danskin点处满足严格互补条件，这个条件太强，很多实际问题尤其是半无限极大极小问题的离散化不满足该条件；他们又给出另外一种牛顿法，在不假设严格互补条件成立的情况下，证明了它的超线性（3/2阶）收敛性。

The technique, known as energy minimization, is used to minimize the potential function.

被称为能量极小化的技术被用来对势能函数求极小。

The catenoids are the only nonplanar minimal surface of roation, the right helicoids are the only skew ruled minimal surface of roation, but they can not be represented in form of NURBS.

悬链面是唯一的旋转极小曲面，正螺面是唯一的直纹极小曲面表示，它们在建筑和机械制造行业有广泛应用，但是它们都不能用NURBS精确表示，这个工程应用带来很多不便。

Therefore, it's natural to estimate those values of operators such as 〓, log mf and so on in order to investigate the weighted inequalities for the minimal operator We discuss them under two conditions respectively: In one-weight case, we establish the relative weighted inequalities under the condition of A〓-weight and A〓-weight respectively, and the equivalent condition has been found between the strong -type weighted inequality and the property of W〓-weight; while in the case of two-weight condition, we characterize the equivalent relations between the weak type weighted inequality and the property of W〓-weight, the strong -type weighted inequality and the property of W〓-weight.

我们分两种情况分别加以讨论：单权情况下，我们分别刻画了A∞权和A〓权条件下关于〓，log mf等的强型加权不等式，并证明了关于鞅的极小算子的强型加权不等式与对应的W〓权性质之间的某些等价关系；在双权情况下，我们刻画了关于极小算子的弱型加权不等式与W〓权以及强型加权不等式与W〓权之间的等价关系。

In section 2,we characterize the minimal ideals of finite dimensional symmetricself-dual Lie algebras over the complex field and gives an optimistic lower bound for thedimension of the space of invariant symmetric bilinear forms on a symmetric self-dualLie algebra by means of the number of linearly independent minimal ideals.

在第二节中，我们完全刻划了有限维对称自对偶李代数的极小理想；用线性无关极小理想的个数给出了一个对称自对偶李代数上由不变对称双线性型构成的线性空间维数的最好下界

By means of moving frame, some properties of ruled surfaces are obtained, including the surfaces being minimal, totally geodesic, totally developableand totally umbilical. Some equivalent conditions in which the ruled surfaces are totally developable are obtained. It is abtained that (k+1)-dimensional ruled surfaces are totally geodesic if and only if they are minimal and totally developable.

利用活动标架法研究了直纹面的一些性质，包括极小性，全可展性，全测地性和全脐性，给出了直纹面是全可展性的一组充要条件，同时得到，R(上标 n+1 下标 v)中的k+1维直纹面M是全测地的充要条件是它是极小的且全可展的。

In this paper, using the method of the Lagrangian dual, an unconstraint but nondifferentiable optimal problem in input space is proposed as the dual of the quadratic programm...

证明了该分片二次函数的极小点对应原二次规划的ε最优解，而用此极小点可直接算出支持向量和最优超平面。

Focusing on some disadvantages in standard BP algorithm, such as low convergence rate, easily falling into local minimum point and weak global search capability, Genetic algorithm is used to optimal the connection weight of BP Algorithm in this paper, and construct a GA-BP algorithm of evolutionary neural network, and the algorithm is applied to the control of BLDCM speed adjusting system.

针对标准BP算法存在全局搜索能力弱和易陷入局部极小点等缺点，本文将遗传算法与BP神经网络相结合，构造了一种新的进化神经网络GA-BP算法，并将该算法应用于无刷直流电机调速系统的控制，仿真结果表明，与传统的PI控制系统相比，该算法得出的电机控制曲线几乎无超调，与基于BP算法的速度控制系统相比较，具有收敛速度快、不易陷入局部极小的优点。

It is concerned with the optimal design of cylindrical shell on minimax deflection and minimal compliancy with arbitrary axisymmetrical boundary conditions and radial pressure, under the condition of the volume being constant.

研究在任意轴对称边界条件下和任意轴对称分布载荷作用下体积保持常数的圆柱壳的两类优化设计问题：极小化圆柱壳的最大挠度和极小化圆柱壳的柔度。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失