查询词典 adapted basis

By finding a set of basis, we use matrices of transformation under a set of basis to describe the structure of the Galois group. If a normal extension has a normal basis, then it is simpler to describe the structure of Galois group in this method.

因此寻找一组基，我们利用线性变换在基下的矩阵来描述Galois群的结构，特别地，当正规扩张存在一组正规基时，用这种方式表示Galois群的更加简单。

It is one of the important characters of the grey system theory to utilize grey generation modeling. The basis structures of generating space in AGO and in IAGO are respectively obtained by the mathematical research of r-AGO series and r-IAGO series. The results are the following: the coherent and direct expression of the generating basis vector in AGO and r-AGO, the relation expression between two r-AGO series and two r-IAGO series, the relation among generating basis vector, generating series and moving operator.

利用灰色生成建模是灰色系统理论的重要特点之一，通过对r次生成序列（包含r-AGO序列和r-IAGO序列）的数学研究，得到了AGO生成空间和IAGO生成空间的基本结构：AGO和r-AGO生成基向量的统一的直观表达式、任意两个r-AGO序列间与任意两个r-IAGO序列间的关系式、生成基向量生成序列与移动算子间的关系。

In the paper, on the basis of aggregation of previous studies, the development of optical technology and development trends at home and abroad are introduced, the principle of Fresnel lens is summarized. In accordance with its principle, circle equidistant steps Fresnel lens design is described. And on this basis, based on Fresnel design, also based on a continuous upward spiral of the plane curve concept, incidence surface and the backlight is set up to greet Archimedes - Fresnel lens design formula and the Second parabolic type Fresnel lens design formula, and on this basis, the advantages and disadvantages of the three designs is discussed.

本文在充分了解非球面光学技术在国内外的发展状况和趋势的基础上，同时从菲涅尔透镜的光学原理出发，并根据它的工作原理推导了圆环等距菲涅尔透镜的设计步骤，并在此基础上依据菲涅尔的设计思想，同时依据平面曲线的连续又呈螺旋的构思，推导出了迎光面和背光面阿基米德型菲涅尔透镜的设计公式和二次抛物面型菲涅尔透镜的设计公式，并在此基础上讨论了这三种设计各自的优缺点。

In this algorithm, the multiplier and multiplicand are represented with standard basis and there is not transform from basis to basis. In the end, the encoding process of RS (255,223) code is simulated.

该算法中乘数与被乘数都采用标准基来表示，而不需基与基的转换；最后对RS(255，223)码编码器的设计过程进行了计算机模拟。

They are presented in need of special curves and surfaces in engineering applications. In order to prove that the uniform C-B-spline basis is normalized totally positive, we compute the matrix which transforms the C-Bézier basis into the uniform C-B-spline and decompose this matrix into a product of. bidiagonal and stochastic factors. Furthermore, we give a normalized B-basis by inserting knots.

本文用递推的方法，计算出代数三角空间中的n次C-Bézier基与n次均匀C-B-spline基之间的转换矩阵，并把该矩阵分解为一系列二对角阵的乘积，从而证明出n次均匀C-B-spline基是一个标准全正基，进一步用插入节点的方法，把它扩充为一组标准B基，从而我们可以利用B基的很多优良性质，在工程应用中对这两组基进行开发利用。

The uniform of nonlinear incremental equation at critical points or non-critical points are deduced, and the relations between incremental solutions and nullspace basis of incremental matrix are put forward. So the incremental solutions can be obtained directly by nullspace basis, and can be expressed nullspace basis of matrix.

推导了非线性增量平衡方程在极值临界点与非临界点解的统一形式，指出增量解与增广矩阵零空间基的关系，从而可直接由零空间基获得增量解，并直接表示为增广矩阵零空间基的形式。

First, this paper denotes a method on the basis of information entropy to build up Markov net, and presents an effective constitution arithmetic of the Markov net on the basis of information independent testing, which is on the basis of dependence analogy and only needs CI testing.

介绍了概率网的基本概念以及目前国内外的应用研究现状，探讨一个基于信息熵方法构造的马尔科夫网络，给出了有效的基于信息独立测试的马尔科夫网络的构造算法。

In order to reduce these shortcomings, on the basis of enriched polynomial basis functions, weighted orthogonal basis functions are used to obtain the MLS approximation by using a Schmidt orthogonalization. In the end, the improved LBIE method for elasticity fracture is proposed.

为了改善这些不足，本文在扩展的多项式基函数的基础上，利用Schmidt正交化方法构造带权的正交基函数，建立了断裂力学的改进的局部边界积分方程方法。

Firstly, the Littlewood-paley wavelet basis, that is an orthonormal basis of the space L2, is selected as a basis in the Galerkin methods.

首先，将Littlewood-paley 小波基引入到Galerkin 方法中。

On the basis of Earth surface space using reference ellipsoid as height basis, map space using Gauss-Kruger projection plane as height basis, a viewpoint is proposed that map projection actually establishes corresponding relationship between the height bases of two different spaces above. From the viewpoint of projection and visible representation, the relationships among earth surface space, RS imagery space and map space are analyzed; the differences among different representations of earth surface space are identified theoretically; virtual reality is applied to the representation of land surface space, and a prototype of real 3D virtual reality system based on spatial information is developed. By means of digital simulation, virtual reality representation of land surface space in visual image space is realized.

在以参考椭球面为高程基准面表征地表空间、以高斯-克吕格地图平面为高程基准面表征地图空间的思想基础上，提出了地图投影实质上是建立两个空间的高程基准面之间关系的观点；从投影和可视表达的角度，分析了地表空间、遥感图像空间、地图空间之间的关系，从理论上区分了对地表空间的不同表达方式之间存在的差别；将虚拟现实技术应用于地表空间的表达，研制了空间信息三维虚拟现实系统原型，利用数字模拟技术在视像空间实现了对地表空间的真三维虚拟现实表达。

We are forbidden from giving money to these shoeless, skinny children, as this will perpetuate begging.

向光着脚，骨瘦如柴的孩子施舍是不可以的，因为要招来无休无止的乞讨。

It would be hard not to fall victim to some sharpeyed policeman.

要想不被某个目光锐利的警察抓到，谈何容易。