最小值

The maximum principle of the optimal control for the stochastic systems described by Zakaj stochastic partial sifferential equationis proved by approximately minimum point theorem of E. Ekeland. The convexity and compactness of the set of control values is not assumed, and it is not necessary for the maximum principle about differentiability in control variables included in drift term of the stoch astic system and the integrand in index functional, and costate process satisfies the stochastic partial ...

在不假便定控制变量取值的集合是凸的和紧的，不要求随机系统的漂移项和指标泛函的被积函数关于控制变量具有可微性的情况下，用E，Ekeland的近似极小点定理证明了Zakai随机偏微分方程描述的随机系统的最优控制的最大值原理，和用很简洁的方法证明了协态过程满足一个随机偏微分方程。

Studies have suggested: Of every joint curve, the pace of hip joint is smaller and not changing much; The paces of knee joint , ankle joint and tiptoe are obvious in curvilinear motion; Knee joint up to the peak value of pace early , then moderate , ankle and tiptoe nearly reach the pace maximum at the same time during the course of proposing the knee, later dropped rapidly, the tiptoe pace increased but not reached the maximum again at the time of hitting the target.

研究表明：各关节曲线中，髋关节速度较小且变化不大；膝关节、踝关节和脚尖的速度曲线变化明显；膝关节较早达到速度峰值，然后减速，在提膝阶段踝和脚尖几乎同时达到速度最大值，之后迅速下降，在击靶瞬间脚尖速度又增大但没达到最大值。

The constraint force/torque dexterousness is defined as the ratio of minimum singularity value to maximum one of the force/torque constraint matrix, by which the performance of the combinations of actuating inputs is evaluated.

将约束力/力矩矩阵的最小奇异值与最大奇异值之比定义为约束力/力矩各向同性度，并以此为指标对各驱动输入组合的优劣性进行评价。

Some relations between generalized KT-properly efficient solution and generalized H-local-properly efficient solution are obtained under appropriate conditions.

在实用中，由于在给定的约束条件下求得的目标函数的最优值，有时会不符合人们的要求，因此有必要考虑当目标函数的最优值作适当改进时，如何使约束条件进行极小扰动的问题。

The structure of WNN is trained using Structural Risk Minimization based on statistical learning theory and weights of networks are optimized by adaptive orthogonal least square.

采用统计学理论的中的结构风险最小化原则为目标来训练网络的结构，采用自适应正交最小二乘法来训练网络权值，该方法最大限度地保证了网络的泛化能力。

Wear degree decreases, and the wear particle distribution curves become protrusive and precipitous gradually in the initial stage.

通过分析铜合金销与碳钢盘在干摩擦条件下相互对磨所产生的磨粒群和销试样磨损量，发现磨粒的累积分布和微分分布特性随磨损时间的变化而变化：在磨损开始阶段，磨损程度逐渐减小，磨粒群分布曲线由平缓变得逐渐凸、陡；达到磨损平衡状态后，磨损率达到最小，磨粒群微分布曲线的幅值达到最大，横向宽度达到最小；随着销与盘间互适性变弱，磨损程度增大，磨粒分布曲线变得越来越平缓，横向宽度逐渐增大；磨粒分布曲线随磨损时间的变化规律与磨损率随磨损时间的变化规律有明显的对应关系，可为科学诊断和预测摩擦学系统状态提供有用信息。

In other words, on the basis of known low space resolution multi-spectral image and high space resolution panchromatic spectral image, it will simulate to create high space resolution multi-spectral image.

针对这一应用目的，本文在对现有的定性定量指标分析的基础上，设计了一组适合本文的评价标准，就是在目视判读的基础上，采用平均梯度和小波能量分析融合影像和原始未降解的多光谱影像的空间分辨率差异，采用标准方差、标准偏差和协方差矩阵行列式值分析融合影像和原始未降解的多光谱影像的信息差别，采用均值、中值和归一化最小方差分析融合影像的光谱信息保持程度。

The smaller bismuth ruthenate partical is, sheet resistivity is lower and temperature coefficient of resistance is more positive and the refiring change ratio is nearer to zero.

铅硼硅玻璃粉体平均粒径对厚膜电阻的性能影响有一极值点，约为1.51μm，在该点处膜层的方阻值最小，电阻温度系数绝对值最小，重烧变化率最接近零值。

When the aphids were feeding on Ww2730 seedlings, the time to 1st probing was delayed compared to those on Xiaoyan22 and Batis, searching was interrupted before 1st probing, and 1st probing was shorter than that on Xiaoyan22 and Batis significantly. Duration of pd Ⅱ-1 on Ww2730 and Xiaoyan22 was much longer than that on Batis. Duration of pd in C waveforms on Ww2730 was longer than that on Xiaoyan22 and Batis remarkedly. Times and duration of G waveform on Ww2730 were more and longer. Times of spot G waveform on Batis were more than on Ww2730 significantly, but the duration was shorter than those on Xiaoyan22 and Ww2730. Total time of E1 waveform, max longest duration of E1 fractions and mean duration time of E1 fractions following E2 wavefrom on Xiaoyan22 and Batis were all longer than on Ww2730 statistically. There were no differenences among mean durations of 1st E1 wavefrom on three varieties, but mean durations of other E1 waveforms on Ww2730 and Xiaoyan22 were shorter than those on Batis. The other waveform parameters, include times and durations of F and E2 were all not different on three wheat varieties.It is suggested that the resistance mechanism of wheat variety Ww2730 to S.

麦长管蚜在品种Ww2730上口针开始接触叶面时间显著晚于小偃22和Batis，第1次持续刺探前的刺探次数显著多于小偃22和Batis，开始刺入叶面后第1次刺探的持续时间极显著短于小偃22和Batis；在Ww2730和小偃22上的PdⅡ-1的平均时间显著长于Batis；Ww2730上C波阶段2个Pd波间的间隔平均时间显著大于另外2个品种；在Ww2730木质部取食的次数和时间显著大于其它2个品种；Batis上的点G波的次数极显著地高于Ww2730，而平均持续时间极显著短于小偃22和Ww2730；在Batis和小偃22上E1波的总时间，E1波的最大值、跟随E2波的E1波的平均时间均显著大于Ww2730；3个品种间第1次E1波持续的时间差异不显著，但Ww2730和小偃22上其它E1波持续的时间极显著少于Batis；3个品种上其它波形参数，包括F波的次数和总时间、E2波的次数和总时间没有差异。

This paper brings forward a approach for textile flaw automatic detection based on optimal Gabor filters. At first the niche genetic algorithm is employed to attain the parameters of the optimal Gabor filters and segmentation threshold based on the feature of the unflawed textile,and then apply the optimal Gabor filter and threshold on the fabric image to achieve the resnlts.

为了对织物缺陷进行快速准确的自动检测，建立了一种基于Gabor滤波器的织物缺陷自动检测方法，即首先根据无缺陷织物的结构特征，应用小生境遗传算法寻找最优的Gabor滤波器参数和分割阈值；然后将待检图像通过滤波和分割来得到检测结果，同时根据响应矩阵的极小值点来计算缺陷的形状特征。

The concept of equivalent rotationally rigidity is offered and the formula of rotationally rigidity is obtained.

主要做了如下几个方面的工作：对伸臂位于顶部的单层框架—筒体模型进行分析，提出了等效转动约束的概念和转动约束刚度的表达式。

Male cats normally do not need aftercare with the exception of the night after the anesthetic.

男猫通常不需要善后除了晚上的麻醉。