查询词典 parseval equality

This paper introduces least squares estimation into SVM and deduces least squares support vector regression algorithm,which applies equality constraint instead of inequality constraint of SVM and makes it easier to obtain solutions.

探讨了将最小二乘估计引入到支持向量机中，给出最小二乘支持向量机回归算法，该算法用等式约束代替传统支持向量机回归中的不等式约束，使得求解过程更为简单。

In the fourth chapter, we discussion the characterization of admissible in the general linear model under equality constraint and inequality constraint, we give the necessary and sufficient condition that homogeneous linear estimator is admissible estimator, and by using the relationship between homogeneous and inhomogeneous linear estimator, we obtain the characterization of admissible inhomogeneous linear estimator.

第四章分别在带等式约束条件以及不等式约束条件下，讨论了一般线性模型线性估计的可容许性特征，给出了在约束条件下齐次线性估计为可容许估计的充分必要条件，同时利用齐次线性估计与非齐次线性估计之间的关系，把齐次线性估计的可容许性特征推广到了非齐次线性估计的可容许性特征。

At present, although finite element methods is a kind of effective measures in analyzing metal plastically forming problems with friction, dynamic friction in the process of metal forming is substituted with static friction and constant frictional force as one of independent constraint conditions is transposed to equivalent node-load or FEM unit is divided into contact unit and inner unit in numerous studys and applications, so that it result in relative bad accuracy and awkward operation. These defects mostly attribute to the fact that FEM bases on the variational equality principles, however frictional constraint will actually result in variational inequality energy functional.

目前，应用于分析金属塑性成形的有限元法是一种有效的处理摩擦效应的定量计算方法，但是许多应用和研究是用常摩擦来代替金属塑性成形过程中的动态摩擦；把常摩擦力作为单独的约束条件移置到等效结点载荷上或把有限元单元划分成接触单元和内单元，这些将导致解的精度相对不高及实际操作不方便等一系列问题，产生这些不足的重要原因之一在于它的理论基础是变分等式原理。

The present work solves the ELD problem with Lineflow constraints through effective appli- cation of GA, considering the system transmission losses, power balance equation as the equality constraint, limits on the active power generations of the units and limits on currents in different lines as the inequality constraints. Two test systems, i.e.

目前的工作，解决了在ELD 问题lineflow的限制，通过有效的应用-阳离子遗传算法，考虑到该系统的传输损耗，权力的平衡方程作为等式约束，限制，有源电力几代人的单位和限制电流在不同的线路（ lineflow限制）作为不等式约束。

Based on performing QR decomposition of an affine scaling equality constraint matrix, the conducted subproblem in the algorithm is the general trust region subprob-lem defined by minimizing a quadratic function subject only to an ellipsoidal constraint.

基于矩阵QR分解的技巧，将仿射零空间的信赖域子问题变换成通常的信赖域子问题，然后结合线搜索技术，在每次迭代信赖域子问题都将产生新的回代内点。

Then we derive first-order necessary optimality conditions for optimization problems with affine variational inequality, which joint upper-level feasible region Z includes a linear inequality constraint and a linear equality constraint.

其次，我们研究Luo的带仿射变分不等式约束优化问题，其中上水平约束Z不仅含有线性不等式约束，而且含有等式约束情形时的一阶最优性条件，同时还给出了Z的切线锥的表达式。

The algorithm consists of a least-squares part providing an analytica l initial solution,and a projection part that projects the initial least-square s solution successively onto each equality constraint.

该算法有两个显著特点：一是目标函数的Hessian矩阵不要求正定；二是由于采用平方根因子分解来计算增广Hessian矩阵及投影算子矩阵，算法具有很好的数字稳定性。

The first one is an algorithm with terminal sliding mode equality constraint. The second is a dual-mode control scheme, which enlarge the terminal region. The sliding mode based MPC is implemented while system state is outside of terminal region, and sliding mode variable structure control designed off-line is used once system state arrives in the terminal region.

第一种方法为终端滑模等式约束非线性模型预测控制方法，首先离线设计切换函数使得滑动模态渐近稳定，然后在有限预测时域的基础上对切换函数附加一个终端等式约束；第二种方法为双模控制方案，在终端区外采用模型预测控制，使得系统状态在有限时域内到达终端区内；在终端区内部采用离线设计的滑模变结构控制，使得系统渐近稳定。

We are trading on the basis of equality.

我们是在平等的基础上进行贸易。

We're trading on the basis of equality.

我们是在平等的基础上进行贸易。

When this condition occurs, inbound replication with the source partner is stopped on the destination domain controller and event ID 2042 is logged in the Directory Services event log.

计算机密码学是研究计算机信息加密、解密及其变换的科学，是数学和计算机的交义学科，也是一门新兴的学科。

Instructions: click on the thumbnails to see a larger image, then use the left-right arrow keys to scroll through the slideshow.

使用说明：滑鼠点在小图上即可放大观赏。开启后键盘左右键可用来换照片。