和向量

Based on statistical learning theory and optimization theory,unconstrained optimization models for support vector machines are built,and an approximate algorithm-maximum entropy method is given.

本文方法特别易于计算机实现，数值实验结果表明了模型和算法的可行性和有效性。1引言近年来，在V.V apn ik的统计学习理论[1，2]基础上发展起来的支持向量机(Support V ector M ach ine，SVM)正成为机器学习领域中新的研究热点[3，4，5]。

Meanwhile, we have gotten stability for the subdifferential of cone efficient point sets and cone weakly efficient point sets of multiobjective programming with respect to perturbation of cone respectively.

对于局部凸拓扑向量空间的多目标规划问题，本文研究并得到当确定空间序的控制锥受扰动，它们的锥有效点集和锥弱有效点集分别在锥次微分和锥弱次微分意义下的稳定性结果。

In the symplectic geometry space, which consist of the original variables, the displacement, electric potential, magnetic potential, and their duality variables, lengthways shearing stress, electric displacement and magnetic flux, the magnetoelectroelastic solids problems are led into symplectic solution system, so the effective methods of mathematical physics like the separation of variables and symplectic eigenfunction expansion can be employed to solve the problem.

在由原变量-位移、电势和磁势以及它们的对偶变量-纵向的剪应力、电位移和磁感应强度分量组成的辛几何空间，将电磁弹性固体问题导入辛求解体系，从而使有效的数学物理方法如分离变量法及辛本征向量展开法可以用于该问题的求解。

In SMFSIA/CAG, to increase computational efficiency in solving the matrix equation, both the speed of the iterative convergence and the matrix-vector multiplication are picked up based on iterative theory. The extended formula of the high order Taylor's series about the horizontal distance is derived. The relationship between the Taylor's series or the neighborhood distance and the efficiency of the arithmetic are analyzed.

在SMFSIA/CAG中，基于迭代法的原理，通过加快迭代收敛速度和加速矩阵向量积两个方面对该算法进行了改进，推导了关于平面展开的高阶泰勒级数展开公式，并对近场相关距离和泰勒级数展开阶数对算法效率的影响进行了分析。

This method is based on tensor and tensor algebra. To utilize the multidimensional data of the remote sensing image, the vector-based learning machine is generalized to the tensor-based learning machine which accepts tensors as input, then the convex optimization theory and the alternating projection procedure are used to get the solution of the TLM.

该方法基于张量数据模型和张量代数运算，针对遥感影像数据多维或高维的特点，将基于向量的监督法学习机扩展为基于张量的监督法学习机，然后利用凸函数最优化理论和交互投影迭代法求得张量学习机的最优解。

This paper researches the improvement of the vector of unknown parameter α and the vector of random-effect parameter β, including GLSE and LSE in some conditions, discusses the relevant properties of parameter's estimation, and explains the thought of using its unbiased estimator replaced when the variance is unknown.

本文研究了未知参数向量a和随机系数β的参数估计的改进，包括在一定条件下的GLSE和LSE，并讨论了参数估计的有关性质及说明了在方差未知时，用其无偏估计代替的思想。

This paper proposes and investigates fast variable size block motion estimation algorithm based on merge and split procedures based on H.

本文提出了一种基于分裂与合并的快速运动估计和帧间模式选择算法，该算法以8×8为初始块尺寸，并以8×8块进行运动搜索，在此基础上，根据块间运动向量的相关性，结合块的边缘特性完成运动估计和块模式选择。

Aimed at the problem that the traditional support vector machine cannot adapt itself to text database updating continuously from time to time, a text categorization algorithm with increment al SVM was presented after analyzing the KKT qualification of newly added text sets and thoroughly investigating the variation of support vector set due to text addition.

针对传统SVM无法适应文本数据库随着时间不断更新的问题，通过对新增文本集的KKT条件的分析，研究了加入新增文本集后支持向量集的变化，提出了使用增量SVM进行文本分类的算法，并通过实验验证了通过该算法得到的分类器和传统分类器有着相似的分类能力和泛化能力

By learning this course, students should proficiently use algebraic methods to solve geometric problems and practical problems, and proficiently grasp the basic ideas and methods of vector algebra and geometric properties of spatial line, plane and quadratic surface.

通过本课程的学习使学生熟练掌握运用代数方法解决几何问题并应用于实际问题之中，并熟练掌握向量代数的基本思想和方法，同时使学生熟练掌握空间的直线、平面和二次曲面及其各种几何性质。

Vector algebra in 3D, vector- valued functions, gradient, divergence and curl, Taylor series, numerical methods and applications.

三维向量代数、向量值函数、梯度、散度和旋度、泰勒级数、数值方法和应用。

The labia have now been sutured together almost completely.The drains and the Foley catheter come out at the top.

此刻阴唇已经几乎完全的缝在一起了，排除多余淤血体液的管子和Foley导管从顶端冒出来。

To get the business done, I suggest we split the difference in price.

为了做成这笔生意，我建议我们在价格上大家各让一半。