数

Firstly, we prove the existence and the uniqueness of the hyperfocal subalgebra when the coefficient field is split for a defect pointed group; then, considering the structural pattern of source algebras over arbitrary fields, by means of G-acted groups, we reduce the existence and the uniqueness of the hyperfocal subalgebra over an arbitrary field to the case that the coefficient field is split for a defect pointed group and the inertia group stablizes a hyperfocal subalgebra.

首先我们证明了如果系数域对亏点群是分裂的，则源代数的超聚焦子代数存在且共轭唯一；然后通过考虑任意域上源代数的结构模式，以G-作用群为手段，将超聚焦子代数的存在性和唯一性归结为系数域对亏点群是分裂的情况下惯性群稳定的超聚焦子代数的存在性和唯一性。

This chapter expresses interzone as fuzzy value, and designs calculations using fuzzy calculation rules. It′s convenient to calculate the hard points.

本章按照一般模糊数表述方式去表示区间数，依据一般模糊数的运算法则去设计计算，给硬点计算带来了很大方便。

The psychology the processing process will usually divide into the controllability processing process and the automatic processing process, this experiment through to will count along the number research and the inverse number research, further explained along number more participation will be the automatic processing process, but the inverse number more will be the controllability processing process, will need to realize attention.

心理学通常将加工过程分为控制性加工过程和自动加工过程，本实验通过对数数的顺数研究和逆数研究，进一步说明顺数更多参与的是自动加工过程，而逆数更多的是控制性加工过程，需要意识的注意。

In this paper,we give the error expressions of piecewise linear Lagrange polynomial interpolation and piecewise cubic polynomial interpolation using the Taylor expansions.

中文摘要：本文利用Taylor展开得到三角形上线性Lagrange插值和三次Lagrange插值的导数余项公式，对这些余项公式进行分析，给出了两类能以四阶精度逼近被插函数在对称点的导数值的格式，一种是在均匀剖分时其分片线性插值的相邻单元的导数值的后处理格式，一种是在六片强正规剖分时的三次插值在对称点上的导数值的后处理格式，使得在已知原函数在各节点的值后，通过一个简单的线性计算就可得到原函数在对称点的导数的一个超逼近值，将以往提出的平均导数的二阶精度提高到四阶。

One is a independent subsystem of the dimension equal to the difference of the dimensions between the total system and the symmetry Lie group.

这种标准形由一个维数等于系统维数与对称性Lie群维数之差的独立子系统和一个不含控制量的子系统串联而成。

The results show that:(1) The mean drag and lift coefficients of box shape bridge deck section have considerable Reynolds number effect;(2) the ratio of width to height affects on Reynold.

在较大的雷诺数范围内测量了不同宽高比箱形桥梁断面的三分力系数，研究了三分力系数雷诺数效应以及宽高比对断面三分力系数雷诺数效应的影响。

The norm and the angle made with the center line by the vector of the codeword are computed for each codeword off-line firstly, then the codewords are ordered according to the ascending order of their norm.

文章提出了一种改进的等范数最近邻码本矢量搜索算法，该算法预先离线计算好各码本矢量的2-范数和它与中心线的矢量夹角，再根据各码本矢量的2-范数进行升序排列。

By using matrix norm, matrix singular value, non-negative matrix theory, the regions of numaerical range and spectum of operator polynomial and the regularity of operator linear pencil are obtained.

8应用矩阵范数理论、矩阵的奇异值理论、非负矩阵的理论、友矩阵、算子的谱理论为工具，获得了算子多项式数值域具有的特性及其包含范围，算子多项式数值域与n-次数值域的关系，最后研究了算子线性束正则性的等价条件及谱分布情况。

Because of the condition of 〓 for two neighbour parametricspline surfaces is too strong,here,instead of it,some simple and practicableconditions of 〓 resulted from the general theorem obtained by Prof.LiuDing Yuan in Chapter 1 were proved,and three 〓 triangular splinesurfaces schemes wre presented:one is piecewise cubic spline surface patcheshaving local 〓 and whole 〓 continuity based on the refined HCTtriangulation,another is the same degree spline surface patches but based onthe refined Powell-Sabin triangulation,the third is piecewise quartic splinesurface patches having local 〓 and whole 〓 continuity based on therefined P-S triangulation.

由于对参数曲面，一阶导数连续的要求较强，我们采用第一章从刘鼎元定理导出的简单实用的几何连续条件，讨论了基于HCT加细三角剖分和P-S加细三角剖分上的两种局部达一阶导数连续而整体有一阶几何连续的分片三次样条曲面构造算法，一种局部达二阶导数连续整体有一阶几何连续的分片四次样条曲面构造方法。

This article discussed the might-be mistakes in the article"The Misunderstandings about the Mode",pointed out that mode is a Location parameter ,and the views in the current text books are basicallycorrect.

文章对《众数之误》一文不准确之处进行了分析，指出众数就是位置平均数，现行统计教材中关于众数的内容基本正确，并希望与该文作者及读者进行交流。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。