次梯度

Through studying some fundamental properties of the curved surface in differential geometry , a method of linear feature extraction based on differential geometry is introduced.

通过研究微分几何理论中曲面的一些基本性质，本文介绍了一种基于微分几何的线状地物提取方法，首先在局部区域内拟合一个二次曲面函数，然后通过该函数来估算灰度曲面的梯度和曲率，设定合适的梯度和曲率阈值来检测线状地物，最后进行后处理，消除许多噪声颗粒及小块区域。

Applying the theorem of alternative of subconvexlike map and other some conclusions, the optimality conditions represented by gradient for the vector extremum problems with generalized inequality constraint are obtained.

在线性拓扑空间中，引入了G-可微函数的梯度的概念，运用次似凸映射的择一定理和其他一些结论，获得了带广义不等式约束的向量极值问题的一种含有梯度的最优性条件。

It can be concluded that to meet with the ideal separation effect in a relative short period, the following optional selection of experimental conditions should be carried on strictly: centrifuge rotor and gradient medium, which will influence separation capability; gradient density range, shape and slope, which is very important in separation degree; the methods of reorienting rotor,low and high rotor speed exchange and Gmax could be used in order to shorten separating time.

通过研究认为在相对短的时间内要达到理想的分离效果，应该对以下实验条件进行优化选择并严格控制：包括实验中影响分离本领的转头、梯度介质选择；为获得满意分离度应严格选择梯度的密度范围、梯度形状以及梯度的斜率；为了缩短分离时间，可采用重定向梯度、二次变速及Gmax等方法。

Analysis of the feature and geometry of the normal compaction trend is used to establish the compaction trend with polynomial of degree 2 or 3 or polygonal line, and to predict the distribution of geopressure using the method of seismic transit time deviation -pore pressure gradient in Yinggehai bas.

研究了压力预测的方法，推导地震声波时差差值—压力梯度法的计算公式并指出它的优点是能够充分利用已知的钻井实测压力资料；从理论上分析了正常压实趋势线的性质和形态，并用2~3次多项式和分段函数建立正常压实趋势线；根据莺歌海盆地高温高压及沉积速率高、泥底辟发育的特征，建立合理的压实趋势线，并用声波时差差值—压力梯度法预测了莺歌海盆地的压力分布。

By relaxing the linking constraints via Lagrangian relaxation technique, the model is decomposed into production and distribution planning subproblems with a quasi-distributed decision-making structure constructed. An optimized coordination scheme is designed based on subgradient algorithm.

建立供应链生产和配送计划集成模型，通过Lagrangian松弛技术松弛关联约束并构造一种准分布决策结构，基于次梯度算法设计一种优化协调策略。

In nowadays literature, schedule recovery problems are mainly modeled by time-space network, solved using Lagrangian relaxation heuristic algorithm, subgradient optimization and commercial optimization software ILOG.

目前国外主要采用时空网技术建模和拉格朗日启发式算法、次梯度优化法求解。

The surface of image can be looked as a curved surface, and we can simulate a conicoid function in local area. Based on this function we can estimate the gradient and the curvature of the curved surface points, and set proper thresholds of gradient and curvature, we can detect the centre lines of roads with correlative process including removing small areas, area growth, thinning, etc. Lastly through seting proper thresholds of the gradient and the curvature again, the original road junctions can be detected and then verified by the road lines detected formerly.

基于微分几何的道路交叉口识别方法：把影像的灰度表面看作是一个曲面，在局部区域内拟合一个二次曲面函数，通过该函数来估算梯度和曲率并设定合适的梯度和曲率阈值来检测道路中心线，并进行相关处理，例如去除小区域、区域增长、细化等，然后再设定合适的梯度和曲率阈值，检测出初始道路交叉口，并用检测出来的道路来进行确认。

He correspondence between two point set surfaces was established based on the deformation gradient and the moving least square method. The deformation gradient was decomposed into a rotation and a stretching component with the matrix polar factorization. Then each component was interpolated in dividually over the time. Shape interpolation was implemented through a global quadric energy optimization.

基于该变形梯度以及移动最小二乘方法建立了源点云与目标点云之间的对应关系；将变形梯度进行矩阵极分解，对分解后的各分量分别进行插值，再通过一个全局的二次能量优化实现点云曲面的形状插值。

Finally, we investigate the boundary behavior of solutions to subelliptic p-Laplace Dirichlet problem and get the L~p-estimates of solutions as well as their generalized gradients and Hardy potentials.

在此基础上，研究了Heisenberg群上具有齐次边界条件的次椭圆p-Laplace方程Dirichlet问题解的边界行为，得到了解及其次椭圆梯度和Hardy位势的边界L~p估计。

New factorized quasi-Newton equation not only uses the gradient information of the objection function ,but also uses the function information .

本文利用二次函数近似梯度的方法构造新分解拟牛顿方程，不仅利用到了目标函数的梯度信息，而且用到了目标函数值的信息，比传统的分解拟牛顿方程具有更高的二阶曲率逼近。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。