查询词典 scalar product

Assume a Lie algebra g has a form B which has all the useful properties of Killingform:bilinearity nondegeneracy,symmetry and invariance.Note that for such a Liealgebra the adjoint representation is equivalent to the coadjoint representation.We callit a symmetric self-dual Lie algebra and the form B an invariant scalar product.

在第一部分的最后一节，我们引进了拟Heisenberg代数的概念，证明了这些李代数均为具有非极大秩的CN李代数，进一步我们还证明了这些CN李代数构成的集合与极大秩幂零李代数构成的集合之间存在着1-1对应关系。

In section 3 ,we will introduce bilinear form B on Lie colour algebra L. is called quadratic if B is color symmetric .non-degenerate and invariant .In this case ,B is called an invariant scalar product on L .

第三部分介绍了具有双线性型B的李color代数L，如果B是color对称的，非退化的和color不变的，则称是二次李color代数，B则称为不变数量积，给出了理想非退化的定义。

A new method of finding the points on an elliptic curve by Maple is supplied; Maple is applied to the addition operation, the scalar product operation and the method of seeking the order of a basic point on the elliptic curve are proposed; the applications of Maple on ECC including encryption and decryption are supplied.

利用Maple编程求出椭圆曲线上有理点，用Maple实现椭圆曲线上两点的加法、点的数乘运算及求某个基点阶数的算法，利用Maple实现椭圆曲线密码体制的加密及解密。相比C语言，Maple语言更接近于平时说话的语法。同时，Maple语言可以方便地转化成C语言。

We prefer the form (5.16.7) since it is in conformity with the definition of scalar product in a complex Euclidean space.

我们愿意用（5.16.7）这种形式，因为它和复欧几里德空间中标积之定义相谐调。

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武汉远京东和贸易有限公司（武汉康信科仪设备有限责任公司）致力于涂装检测仪器及实验设备的销售和服务，拥有多年的一线专业经历，细致的售前推介、丰富的实践经验和完渼迅捷的售后服务使我们颇获客户好评。公司目前在广州、北京、武汉等地设有服务机构，代理销售来自渼国、日本、英国和德国多家专业场商的涂装检测仪器和实验设备，包括色差仪、炉温跟踪仪、涂层测厚仪和光泽仪等涂装实验检测仪器和日本Scalar数码显微镜系列产品。

This network's multidimensional wavelet basis function is built by substituting norm of the vector for that vector, not scalar product function of the vector, thus the cost of calculation of high dimensionalities is decreased nearly to the situation of one dimensionality.

此网直接用矢量的范数代替矢量来构造多维小波基函数，而不是采用通常的矢量的标量积函数的方法构造多维基函数，这样多维情况的运算量被降低到几乎和一维的情况基本相当的程度。

Vector algebra, Vector product, Scalar product, Gradient, Divergence, Rotation, and several theories

掌握矢量代数运算，矢量积，标量积，掌握标量场与矢量场的特性参数及相应的定理。

For this reason the inner product is called also the scalar product .

为此，内积也叫做纯量积。

This algorithm preserved privacy of individual values by computing scalar product, meanwhile the algorithm of computing scalar product was given and the security was analyzed.

给出了数量积算法和隐私挖掘的步骤，最后举例说明了如何利用数量积算法进行垂直型分布式数据挖掘。

In this paper,it will be shown that by replacing the time integral of the Hamiltonian by another appropriate functional,and by substituting the scalar product by a semi-scalar product,an appropriate function space can be found in which classically non- conservative systems,i.e.,systems which are non-...

本文将指出用另一个适当的泛函代替啥密顿的时间积分以及用一个拟标量积代替标量积，可以建立一个适当的函数空间，在那个函数空间中，传统的非保守系统——即关于能量是非保守的系统具有保守系统的性质。

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。