查询词典 normal basis theorem

On the extensive background of the development of normal education system of the world, this thesis makes an objective and all-sided analysis of the present situation of normal education of our country and furthermore profoundly approaches the future of the development of the normal education of our country, and confirmatively claims that the normal education of our country will surely blaze a new trail and form our own features in the process of reformation in combination with the practical situation of our country and in accordance with the universal developmental principles of normal education of all countries.

本文以世界师范教育制度发展为广阔背景，全面客观地分析了我国师范教育的现状，并依循各国师范教育共同的发展规律，结合我国实际，深入探讨了我国师范教育发展的未来的走向，肯定地认为我国的师范教育必将在改革发展中走出新的路子，形成自己的特色。

Based on the discussion about fitting normal error's definition, constitution and properties, it was suggested that fitting normal error represented the error of fitting plane linear in old highway. The accuracy index of fitting plane linear in old highway based on fitting normal error was set up. The algorithm of swinging approach on compressible size step that could be used to calculate the fitting normal error was put forward. The method and basic norm of decision about fitting normal error's symbolic were discussed.

在论述拟合法线偏差定义、构成及性质的基础上，提出以拟合法线偏差表征旧路平面线形拟合偏差；建立了基于法线偏差的旧路平面线形拟合精度指标；提出了采用步长压缩摆动趋近法计算拟合法线偏差的算法，并就拟合法线偏差的符号判定准则及方法进行了讨论。

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。

For the sake of the realization through to limit death penalty, and providing for enough of basis of theories that to limit the death penalty, discussing the basis of humanity, the basis of economy, and the basis of purpose and function at penalty, the basis of criminal policy. Explanted the meaning of humanity and how to performance on the death penalty.

为从理论上就死刑的犯罪主体限制提供充分的依据，就死刑的犯罪主体限制的人道性依据、谦抑性依据、刑罚的目的和功能依据及刑事政策依据展开论述。

On the geometric modeling, flat surface and curved surface are used to mesh and describe the model;on the electromagnetic modeling. Different basis functions( flat surface roof-top basis function, flat surface RWG basis function, curved surface roof-top basis function, curved surface RWG basis function) and different test functions (line-matching, Galerkin method) are applied to different cells(plat rectangle facet, triangular patch, Bezier patch, parametric surface, curved triangular patch etc.).

在几何建模方面，分别采用平面元和曲面元对模型进行了剖分和拟合；在电磁建模方面，针对不同的单元(平面元、平面三角元，、Bezier元、参数曲面、曲面三角元等)采用不同的基函数(平面roof-top基，平面RWG基，曲面roof-top基，曲面RWG基)和不同的检验函数进行处理。

In this thesis, we take the delay r as a bifurcation parameter to investigate the Hopf bifurcation phenomenon in system (1). By analyzing the associated characteristic transcendental equation of system (2), and using the Hopf bifurcation theorem, we obtain one condition for the existence of Hopf bifurcation in system (1). Furthermore, based on the center manifold theorem and the method of normal form, some interesting results about the properties of Hopf bifurcation are obtained, including the direction of Hopf bifurcation and stability of Hopf bifurcating periodic solutions.

我们以时滞T作为分支参数，研究了系统(1)的Hopf分支现象：通过分析系统(2)的特征超越方程，结合利用Hopf分支定理获得了系统(1)的Hopf分支存在的一个条件；利用中心流形定理和正规形方法分析了系统(1)的Hopf分支的性质，包括分支的方向和分支周期解的稳定性。

The soundness and completeness theorem of this method were proved at last. This part consists of the following points: 1. The properties of the indecomposable extremely simple form of LP were discussed, the theorem shown that every logical formula of LP was equals of a generalized conjunction normal form. 2. The method for judging a logical formula is a indecomposable extremely simple form or not was discussed, the necessary and sufficient conditions of a logical formula with not more than three implicative connective being a indecomposable extremely simple form was given. 3. The α-resolution fields of the indecomposable extremely simple form of LP were discussed, some elementary results were obtained. 4. The automated reasoning method based on the resolution principle of classical logic was discussed, the author given a method to describe the set of clauses by using a matrix, and translated the resolution of two clauses to column operations of this matrix.

二、关于格值命题逻辑系统LP中α-自动推理方法的研究 1、对LP中不可分极简式的性质进行了研究，证明了LP中任何一个格值逻辑公式等值于一个广义合取范式； 2、对LP中不可分极简式的判定方法进行了研究，讨论了含有不超过3个蕴涵运算的格值逻辑式为不可分极简式的充分必要条件； 3、对LP中不可分极简式的α-归结域进行了研究，得到了一些基本结果； 4、对经典逻辑中基于归结原理的自动推理方法进行了研究，给出了用符号矩阵表示子句集合的一种方法，把不同的归结过程转换成矩阵的列变换。

It introduces normal families, including equicontinuity, Arzela's theorem, Montel's and Marty's theorems, Zalcman's lemma; univalent functions, including Koebe's and de Branges' theorems; quasiconformal mappings, including conformal length, extremal length, geometric, analytic and metric definitions, quasiconformal extension, distortion theorem, quasicircle; iteration of rational functions, including fixed points, the Fatou and Julia sets, periodic points, Siegel disks, the Hausdorff measure and dimension, etc.

具体为：正规族，包括等度连续性、Arzela定理、Montel和Marty正规定则、Zalcman引理；单叶函数，包括Koebe定理和de Branges定理；拟共形映照，包括共形模、极值长度、几何、分析和距离定义、拟共形延拓、偏差定理，拟圆周等；有理函数的迭代，包括不动点、Fatou集和Julia集、周期点、Siegel盘、Hausdorff测度和维数，等等。在教学内容上充分体现综合性、前沿性。

In the dissertation, we do a further study in value distribution theorem and normal families theorem of meromorphic function and get some results by using the Nevanlinna's value distribution and the Ahlfors value distribution.

中文摘要：本论文主要运用Nevanlinna值分布理论以及Ahlfors值分布理论在亚纯函数值分布理论和亚纯函数正规族理论两个领域内做了进一步研究，并且相应的得到了几个结果。

Divergence Theorem: is a vector theorem that allows a surface integral of the normal component of the vector to be transfomed into a volume integral of the divergence of a vector, or vice versa.

散度定理：将矢量表面积分转换为体积积分的散度形式。

There are different types of personal loans available.

有许多不同类型的个人贷款优惠。

The above mentioned teaching model of spiral rising can be used to avoid rigidness in teaching.

上述螺旋式上升的教学模式，可以避免教学形成模式後的僵化现象。