最优条件

First, the phenomenon of the projectile-retarded mechanism of moving plates is introduced, the conditions of the projectile-retarded mechanism of moving plates is analyzed. By a number of numerical simulations, the residual length and residual velocity of the rod which penetrate the fixed plate is contrasted with those of the moving plate. Under the different velocity of moving plate, the relationship between the effect of the projectile-retarded moving plates with thickness and intersection angle of the projectile-retarded moving plates is achieved, and the most optimal thickness and intersection angle is gotten.

首先介绍了运动板抗弹作用的现象，分析了产生运动板抗弹作用的条件，利用数值计算的方法，对比了长杆侵彻固定靶板和运动靶板后长杆的剩余长度和剩余速度，分析了不同的运动板速度条件下产生运动板作用的条件，得出了运动板抗弹效果与靶板厚度和夹角的关系，得到了产生运动板抗弹作用的最优靶板厚度和夹角。

On fuzzy mapping F :〓→〓, the concepts of directional derivative and integralover a line segment are defined, and the increase, convexity and continuity are investigated.

作为应用，给出了一个这类凸模糊映射在〓的某一凸子集中某一点达到最小值的等价条件，并得到了某点是一个凸模糊优化问题的最优解的一个充分条件。

We get the optimum process scheme which is suitable for the unit, through analysising and comparising different absorption schemes in the incipience of running of PSA. As to different operation conditions during pressure swing absorption actual operating, we propose to refer absorption cycle time, hydrogen yield and recovery rate as target of process characteristic, study and find out the interrelation between process parameters which influences each other and controls guideline; Through optimizing process conditions, we find out the best operation clicking in actual production, then confirm the best range of absorption cycle time, which make hydrogen yield of plant, hydrogen products purity and hydrogen recovery rate come up to the production requirement at the same time.

通过装置运行初期对不同吸附方案的分析、比较，选出适合本套装置的最优方案，针对变压吸附实际运行过程中的不同生产条件，提出了吸附时间、氢气产量和氢气回收率作为工艺条件研究的主要对象，找出相互影响的工艺参数和控制指标的相互关系；通过对工艺条件的优化，找出实际生产中最佳操作点，确定吸附时间的最佳范围，使装置氢气产量、氢产品纯度和氢气回收率同时满足生产要求，并对影响氢气回收率的其他因素进行了阐述，对优化操作提出建议。

Moreover, A very general optimization problems with a complementarity problem constraint, a inequality and a equality constraints, and an abstract constraint are studied.

最后，我们应用Mordukhovich广义导数方法，在较弱的约束规范性条件—静态条件下，研究当f，g，h，G，H为非光滑函数时，互补约束的优化问题的最优必要性条件。

Hypercube has many advantages, such as smaller diameter, simple routing algorithm, many parallel paths between any two nodes, and fault-tolerance, on the other hand that the Hypercube nodal degree increased logarithmetically to the number of nodes has limited network population. So we propose a constant nodal degree hierarchical topology to remedy the weakness of Hypercube and take advantages of Hypercube most. Given the definition of FCCN we analyse the basic properties including nodal degree , number of links , extensibility and diameter (maximum network communication delay). Also we proposed a simple and self-routing algorithm applied in FCCN. Although the self-routing algorithm is not optimal, but at more than 82% case it can get the shortest path, and the percent is larger and larger increased with network levels. By the self-routing algorithm the internodal distance is calculated to evaluate the network communication delay more clearly. The average internal distance is in order of the cubic root of the network population that is almost same as logarithmetically relation in a few thousands. FCCN is a highly scalable network due to its recursive construction.

首先在比较了基本互连网络的基础上，看到超立体网络的杰出性能，包括网络直径小、寻路算法简单且为自寻路算法、容错能力好等等，但是由于其节点度随网络的规模的增加而按对数关系增长，使得超立体网络的应用规模受到极大限制，所以为了能最大限度利用超立体网络的优点的同时弥补其节点度方面的不足，作者提出了节点度等于常数4的FCCN网络结构，来最多地利用立方体网络的优点；然后在对FCCN网络进行严格的定义后，分析了网络的节点度、链路数、延伸特性、网络的直径（决定网络的最大通讯延迟）等，并提出了适于FCCN网络的简单的自寻路算法，计算自寻路算法可得到最短路径的比例，看到在多于82％以上的情况自寻路算法都是最优的，而且比例随网络层数的增加而增加；应用所提出的自寻路算法计算了可以更加准确反映网络通讯延迟的参数—网络平均节点距离，计算得到此参数与网络大小的立方根成正比，此比例关系在网络的规模在几千节点以内与对数关系的网络几乎一样；FCCN网络是一高度可扩展结构，这是因为FCCN的递归构成方式，使得网络在增加节点时其原有的拓扑结构可以保持不变，不需对网络进行重新设计，为网络的实用扩展提供了条件；理论分析得出FCCN网络是一种高度可扩展高性能网络的结论。

This paper will assume that there are effective stock market and effective executive market, and the basic hypothesises in Black-Scholes Stock Options Pricing Model are correct. We will discuss the optimal repricing scheme under three situations, one is that the board of the company considers repricing when the price declines straightly ; the second is at the beginning of stock life,the board promises to reprice under some conditions at a certain coming time; the third is when some condition happens at an uncertain coming time, the board promises to reprice the ESO.

本文在有有效的股票市场，也有有效的经理人市场，Black-Scholes期权定价模型中的基本假设是正确的条件下，分别讨论了公司的董事会在股价持续下跌时考虑重新定价、在授予经理人期权的时候就承诺在未来某一确定时刻一定条件下可以进行重新定价和未来不确定时刻一定条件下可以进行重新定价三种情况下的最优重新定价问题。

Especially when the performance index and the system all possess symmetries, there is more chance to use this condition.

这个条件在许多场合下要比由最大值原理给出的必要条件简单得多，特别对于目标函数和系统都具有对称性的最优控制问题，可以应用这个条件的机会就更多。

In view of these, the second part of this paper presents two sufficient conditions and two mixed type duals for the generalized fractional programming only under-convexity assumptions. These sufficient conditions apply to a broader class of mathematical programming problems.The results about weak duality, strong duality and strictly reverse duality arealso presented under more suitable conditions.

鉴于此，本文的第二部分，我们仅在函数—凸性假设下，给出了广义分式规划的二个最优性充分条件，这些充分条件较文献中的相关的条件有更广泛的适用性；同时还给出了混合型对偶，并且在适当的条件下，给出了相应的弱对偶定理、强对偶定理，以及严格逆对偶定理。

Moreover, we proposed a flow diagram of the quasi-continuous heat recovery system containing a solid-gas heat pump, and a global mathematical model of the system. This model can be used for determination of the operation conditions. Under the optimized cycle, the recovery efficiency can reach 121W/kg.

在此基础上，提出一个拟连续回热型气-固化学热泵制冷系统流程，并建立全系统数学模型，用最优化方法确定系统的最优操作条件，在最优循环周期下，可获制冷功率121W/kg。

In this paper we turn the problem of sub-Riemannian geodesics into an optimal control problem, express the constraint to, and sub-Riemannian Hamiltonian H=1/2g^(-1)pl(subscript D, pl in detail.

该文从最优控制论的角度，将次黎曼刚地线问题转化为一个最优控制问题，将约束条件γ'∈D转化为，进而得到了次黎曼Hamiltonian H=1/2g^(-1)pl(下标 D， pl的具体形式。

Finally, according to market conditions and market products this article paper analyzes the trends in the development of camera technology, and designs a color night vision camera.

最后根据市场情况和市面上产品的情况分析了摄像机技术的发展趋势，并设计了一款彩色夜视摄像机。

Only person height weeds and the fierce looks stone idles were there.

只有半人深的荒草和龇牙咧嘴的神像。