向量

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。

It has become one of the important tasks in the study on modern electric system. At first, this text has briefly introduced meanings, the current development and the main methods which the electric load forecasting are used. This paper aimed at the floatability which the load data had and the nature that neural networks model is easy to fall into part infinitesimal value and low iterative speed, this paper proposed a method based on neural networks and SVM. SVM can dispel the less summation and the larger single point errors of neural networks, and the neural networks could dispel the simplification of the model of the vector support machine.

本文首先介绍了电力系统负荷预测的意义、发展现状和主要方法；针对负荷数据具有浮动的特点以及神经网络模型算法容易陷入局部极小和迭代速度较慢的缺点，提出了一种基于神经网络和支持向量机的混合负荷预测方法，此方法能通过支持向量机消除神经网络的总和较小但单点误差较大的不利现象，而神经网络消除了支持向量机的模型简单问题。

This method has realized the state space decomposition of rotational speed and flux with the help of support vector clustering technique. In the process of clustering,the author proposed a proximity graph-based dynamic kernel parameter clustering method that is suitable for the control of motor rotational speed and glue pump flux in MDF production to solve the problem of high complexity of relative matrix calculation.

该辨识方法利用支持向量聚类技术实现电机转速与泵流量的状态空间分解，应用支持向量分类技术设计了多模型切换策略，并运用支持向量回归技术构建了状态空间内的转速与流量辨识模型。

Rotation, store the data in the matrix as an axis/angle and do the conversions yourself or will need to convert it to a quaternion.A quaternion is composed of four components: a vector with x, y, z coordinates and a w rotation.

当用一个四元数乘以一个向量时，实际上就是让该向量围绕着这个四元数所描述的旋转轴，转动这个四元数所描述的角度而得到的向量。

Instead of using a single term vector as event representation, the terms into four semantic classes are split(names, temporal expressions, spatial terms and contents) according to the semantic diffirence of them, form four vector spaces, and process and weigh the classes separately.

该方法没有使用传统向量空间模型中的单个向量，而是按照语义将特征词划分为4个组（人物，时间，地点，内容）并形成4个向量空间，每个空间进行独立的权重计算和相似度计算。

Improve the accuracy of the initial rotor position estimator by using the Fourier series expansion.

在永磁同步的马达启动方面，则透过送出不同向量空间角度的定子电压向量脉冲所量测到的d轴定子电流的大小来估测转子的初始位置，并利用d轴定子电流在空间向量角度以2π为周期的特性，应用傅立叶级数分析做曲线拟合的方式提高转子位置估测解析度，以提高转矩/电流比节省不必要的功率浪费。

Constructed by standard binary classes support vector machine, present multiclass SVMs are usually very slow to be trained. When a large number of categories of data are to be classified, the training work could be very difficult. By extending the hypersphere one-class SVM to a hypersphere multiclass SVM, we build a fast training classifier HSOC-SVM. Its training speed is higher than that of the present multiclass classifiers, because each category data trains only one HSOC-SVM.

目前的多类分类器大多是经二分类器组合而成的，存在训练速度较慢的问题，在分类类别多的时候，会遇到很大困难，超球体多类支持向量机将超球体单类支持向量机扩展到多类问题，由于每类样本只参与一个超球体支持向量机的训练，因此，这是一种直接多类分类器，训练效率明显提高。

Content of the course consists of:(1)Basic Theories of Polynomials ;(2)Linear Algebra: topics on basic matrix theory, determinant, system of linear equations, vector space, linear transformation, eigenvalue problems, inner product and Euclidean space , and quadratic form etc.;(3) Analytic Geometry: topics on algebraic operations of vectors, coordinates, lines and planes, curves and curved surfaces, etc.

学习本课程后，学生应学会用线性空间与线性变换的观点处理包括线性代数方程组在内的有关理论与实际问题；学会熟练地运用矩阵工具；本课程还学习基本的多项式知识和空间解析几何的基本知识。课程内容包括几个主要部分：（1）多项式代数；（2）线性代数：矩阵，行列式，线性代数方程组，向量空间与线性变换理论，特征值问题，欧氏空间理论，二次型等；（3）解析几何：几何空间向量代数，通过建立坐标系以及借助向量方法研究空间平面与直线及点﹑线﹑面的相互关系，借助曲面方程研究空间曲面，尤其是柱面，锥面，旋转面和二次曲面以及曲面的交线等。

And designs a new algorithm which can judge whether or not a given nonnegative integral vector corresponds to a friable trasition sequence. Then the algorithm is used to analyze the reachability of net system which has unique reachable vector or has no T-invariants.

4对可达性与可达方程可满足性相互等价的证明进行补充，给出一个判定非负整数向量是否为可执行向量的判定算法，最后利用该算法对唯一可达向量网和不含T-不变量的Petri网的可达性进行判定。

This dissertation focuses on the vector stochastic integral and its applicationsto mathematical finance. We first conduct a comprehensive study on VSI and provide aneconomical justification on the question of why VSI is more suitable than the component-wise stochastic integral for mathematical finance.

本论文以向量随机积分为主线，首先较为系统地研究了向量随机积分，给出了在金融数学中使用向量随机积分较之使用按分量的随机积分更合理的经济学解释。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。