查询词典 finitely generatable vector space

Introduction, Reviews and Concepts of Functions, Differentiation, Vector Algebra, Vector differetiation, Vector Integral, Orthogonal Curvilinear Coordinates.

课程介绍及授课计划、函数观念及复习、微分、向量代数、向量微分、矢量积分、正交曲线坐标、微分方程式。

The brief decision rules according with the demands of threshold is directly mined from decision tables based on rough information vector.In this process,decision support ability of condition vector to decision vector is used,and the concrete decision support ability of condition attribute value is not losing.

基于粗糙信息向量，利用条件向量对决策向量的决策支持能力，直接从决策表中挖掘出符合阈值要求的尽可能简洁的决策规则，且不损失条件属性值的决策支持能力。

At the same time, the practical implementation of evolutionary algorithm is given in order that evolutionary algorithm is introduced into vector quantizer. In the fourth section the asymptotic theory of vector quantization is studied. Then the partial distortion theorem that when codebook size is large enough, each region of the partition makes an equal contribution to the distortion for an optimal quantizer, which is the key part of vector quantizer is obtained. Finally, the competitive learning algorithm based on the partial distortion theorem is proposed, which introduces the subdistortion of each region into the distortion measure to assure that the subdistortion of each region approximately equals to each other.

第四章详细研究矢量量化的渐近理论，然后得出了矢量量化器设计的核心部分——部分失真定理，当码本尺寸足够大且输出矢量的渐近概率密度与输入矢量的概率密度的幂成比例时，最优量化器划分的各个区域对该量化器的平均误差产生相同的影响，最后提出基于部分失真定理的竞争学习算法，它通过在误差测度中，引入与各区域相关的子误差以保证各区域的子误差近似相等，该算法实现较为简单，在一定程度上确保全局最优。

Is a directed surface. is the unit normal vector of at ,then is called the flux of the vector field across ,and is called the divergence of the vector field ,denoted by div .

是场内的一有向曲面，是在点处的单位法向量，则叫做向量场通过曲面的通量，而叫做向量场的散度，记做。

The divergence of the vector field w; it is the dot product of the vector operator with the vector w , or .

向量场w的散度；为向量算符与向量 w 的内积，或。

The article by several opposite examples illustrated the former method of finding vector group's maximum linearly independent vector group is imperfect, sometimes even lead to wrong results. The method is that make use of row vector as matrix and then change matrix by performing elementary row operation.

本文通过几个反例说明了在求向量组的极大无关组时，以往普遍使用的以向量为行向量作矩阵，再对矩阵作初等行变换的方法是不完善的，甚至会导致错误的结果。

An elliptic rotating field is produced when an induction motor operates in asymmetry, this paper proposes a model of jointed motion to describe the motion of an elliptic rotating vector and states that the elliptic rotating vector is jointed with two components, the main one rotates forward at a uniform speed while the adjunctive one jointed at the topend of the main one rotates backward around the joint point at a double speed, both make the elliptic rotating vector rotate at swinging amplitude, speed and direction.

感应电机不对称运转时产生椭圆旋转磁场，本文建立了描述椭圆旋转矢量的接合运动模式，说明椭圆旋转矢量是由一个主矢量带动一个付矢量一起旋转构成的接合矢量，主矢量以匀速旋转，付矢量链接在主矢量顶端同时绕着链接点相对主矢量以二倍速反向旋转，两者共同构成的一个单向椭圆旋转矢量。

After theoretic analyzing support vector machine technique, the equipollence of support vector classification and regression problems is proofed, and a uniformed expression of support vector machine problem is gotten. The noise stained case is studied emphatically, and the experiment shows that a better result will be obtained by assigning weight factor to fit noise distribute characteristic. A multi-multiplier minimal optimization algorithm for norm-1 problems is deduced, and a kind of improved Gilbert geometric algorithm for norm-2 problems is introduced, which is applied in regression problems successfully.

课题细致深入地讨论和研究了软测量模型的三个基本问题，首先是软测量模型的可实现性，即软测量模型存在唯一解的条件，以及知识利用的度量等一些相关的概念，体现出混合软测量模型在知识利用有效性上的优势；然后对模型不确定性的概念进行了讨论，研究了模型可靠性问题，得出测量精度与软测量模型可靠性之间的关系；最后讨论了软测量模型与传统软测量方法的关系，说明软测量模型是传统软测量方法的发展。

Through detailed analyzing some influencing factiors of sand liquefaction, seven parameters were selected as assessment indexes. They are earthquake magnitude, peak ground surface acceleration, standard penetration value, specific penetration resistance, relative compaction, average particle diameter, and water table. The extension assessment model has been established that was applied to assessment of sand liquefaction potential. The model had been trained by the historical data and has been assessed in virtue of sand liquefaction from the historical data by simulating, and got a excellent result. After introduction of the support vector machine theory, this paper established the assessment model of sand liquefaction based on the support vector machine, and assessed in sand liquefaction from virtue data of some fields in home and overseas with the tool Libsvm, which was programmed based on the support vector machine theory. And got a good coherency between the assessement results and the actual liquefaction.

在详细分析影响砂土液化因素的基础上，选取了震级M、地面最大加速度g_、标准贯入击数N_(63.5)、比贯入阻力P_s、相对密实度D_r、平均粒径D_(50)、地下水位d_w等7个参数作为评价指标，建立了砂土液化势的可拓评价模型，并对历史数据进行仿真评价，取得了较好的应用效果；在对支持向量机的理论进行介绍后，本文建立了基于支持向量机的砂土液化势评价模型，并利用在基于支持向量机理论的Libsvm软件，对若干国内外场地的现场实测数据进行了评价，评价结果与现场表现基本上一致。

In order to implement the algorithm, a linearization method is applied in an extremely short sampling cycle to calculate the increments of torque and flux magnitude, to derive the linear equation between the desired stator flux linkage vector increment angle and the increments of torque and flux magnitude, to derive the stator voltage vector reference and to determine the next position of the stator flux linkage vector.

算法的实现运用了线性化的方法，在一个极小的采样周期内，计算出转矩增量和磁通增量，以此推导出所需的定子磁链增量角与转矩增量及磁通增量两者之间的线性方程，进一步导出所需的定子电压矢量，并确定新的定子磁链位置。

The studies on the developing of new media are very important to the increasing of the area density of HDD and to the implementation of hybrid recoding technology.

光磁混合记录方法，是一种可以突破超顺磁极限的限制，并进一步提高硬盘记录密度和读写速率的一种新型超高密度信息存储方式。

In io, mTOR inhibition promotes T cell anergy under conditions that would normally induce priming.

体内研究中，在正常可激发免疫反应的条件下，抑制mTOR可促使T细胞无能。