向量

Linear algebra also plays an important part in analysis, notably, in the description of higher order derivatives in vector analysis and the study of tensor products and alternating maps.

这样向量可以用来表示物理量比如比力，可以做加法或和标量做乘法。如此形成了第一个例子：实数向量空间。

analytical geometry ; the thinking of vector ; vector tool ; the structure of cognize

教材从空间向量与坐标入手，主要以向量为工具，研究空间中的一些几何图形及性质，不论从知识上还是从思维上，都是对中学内容的加深和提高。

It is the aim of this book to present various basic and important results of vector optimization in an abstract mathematical setting and to demonstrate its usefulness in vector approximation and cooperative differential game theory.

本书的目的是在抽象数学柜架下给出向量优化的各种基本和重要结果并阐述它们在向量逼近和合作微分对策理论中的应用。

This algorithm firstly translates arbitrary parameter curves into the piecewise cubic-degree Bezier curves, then using the properties of Bezier curve we can get the tangent vector and the normal vector of every point on the approximation curve, and calculate the approximating offset curve.

此算法先将任意形式的参数曲线转化成分段三次Bézier曲线，利用Bézier曲线的性质容易得到逼近曲线的切向量和法向量，从而计算出其等距逼近曲线。

There is extensive application, especially two-dimensional、three-dimensional vector quantity in a lot of fields of modern mathematics in the vector quantity, they have a form of expression of the array, there are ocular geometry meanings, so can become the effective tool which study the geometry problem of middle school.

向量在近代数学的很多领域中都有广泛的应用，特别是二维、三维的向量，它们既有数组的表现形式，又有直观的几何意义，因此能成为研究中学几何问题的有效工具。

First,the distance ratio between within-class and between-class of each column of mixing matrix is computed by using a distance measurement.Then,for each class,the mixing matrix and independent components are re aligned by sort ascending according to the distance rate,and the columns of the weight matrix with smaller distance ratio and the corresponding features are reserved.Finally,the best feature set is selected by genetic algorithm from these foregoing feature vectors.

首先，使用一种距离度量来计算混合矩阵每一类的类内类间距离比；然后对每一类按该比值由小到大重新排列混合矩阵和独立分量，保留权重矩阵中类间类内距离比大的列，及其对应的特征向量；最后对这些特征向量使用遗传算法选择最优特征组。

However, Grassmanns system is so abstract and far away from the tradition as not to be understood. Its influence on the foundation of modern vector analysis is not as it should have impacted although it does affect on the axiomatization of vector theory.

遗憾的是，由于格拉斯曼的系统内容过于抽象和偏离传统而难为时人理解，它对现代向量理论的创立没有起到应有的作用，但格拉斯曼的工作却对向量的公理化具有较大影响。

However, Grassmann's system is so abstract and far away from the tradition as not to be understood. Its influence on the foundation of modern vector analysis is not as it should have impacted although it does affect on the axiomatization of vector theory.

遗憾的是，由于格拉斯曼的系统内容过于抽象和偏离传统而难为时人理解，它对现代向量理论的创立没有起到应有的作用，但格拉斯曼的工作却对向量的公理化具有较大影响。

Next, kernel PCA is used to construct a set of orthogonal coordinate base in feature space.

其次，在特征空间中，利用协方差矩阵的非零特征向量构造了一组正交基，并将变换后的光谱向量投影到特征空间中的正交基上。

According to the statistic model of piezometric level, model of piezometric level monitoring on the basis of support vector machines is founded. Comparing with traditional statistic model, the new model is more accurate and has better extension forecasting capability.

此后，针对统计模型的不足之处，引入了支持向量机方法的相关理论，建立了基于支持向量机方法的测压管水位监测预报模型，与统计模型相比，结果拟合精度更高，预测趋势更加符合实际情况。

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。