生成元

词组短语

generating element

与生成元相关的网络例句 [注：此内容来源于网络，仅供参考]

Since it is easy to determine the generators of the maximal subalgebra N, we only need to figure out the image of the automorphism φ which applies on these generators.

事实上，极大幂零子代数N的生成元是很容易计算出来的，所以我们只需要计算出自同构φ作用在这些生成元上的像就可以了。

We shall first apply the technique ofμ-bases and local cohomology to study the minimal generators for the moving surface ideals of rational cubic space curves and rational quartic space curves,and then study the implicit equations of rational space curves under different definitions of implicit equations.

在第五章中，我们将同调代数理论与μ基理论相结合，详细分析三次及四次空间有理曲线的动曲面理想生成元，为一般空间有理曲线的动曲面理想生成元的(来源：A21B12ceC论文网www.abclunwen.com)研究开辟可能的道路。

Chapter 1 gives the background,current research process of relatedproblems and summarizes this thesis\'s work.In chapter 2,we study the Brownian motion with holding and jumping on the boundary.We use the resolvent method to obtain the infinitesimal generator because the domain of the infinitesimal generator is essentially the same as the range of the resolvent.Knowledge of this range and of the differential operator determines uniquely the infinitesimal generator.Since the semigroup generated by the DHJ is not strongly continuous,to use the nice property of strongly continuous semigroup in analytic theory,in chapter 3 we show that the dual is strongly continuous and derive ergodicity through spectral radius formulas and finally obtain the ergodic theorem by duality. In chapter 4,we discuss a class of a more general process---one dimensional Feller diffusion proposed by W.Feller in 1954.The Feller diffusion allows the possibility of jumps from boundary to boundary,not only from boundary to the interior.We give the stationary distribution of this process.

具体地，本文的结构如下：第一章给出了问题产生的背景，研究现状及本文的主要工作；第二章研究了在边界上逗留后随机跳的布朗运动，我(来源：3dABC论文网www.abclunwen.com)们用预解算子的方法得到其无穷小生成元，因为无穷小生成元的定义域本质上就是预解算子的值域，知道这个值域和微分算子形式就能唯一地决定无穷小生成元；由于DHJ过程产生的半群不是强连续的，为利用强连续半群的一些漂亮性质，在第三章中我们证明其对偶半群是强连续的，然后由谱半径公式得到遍历性并且最后由对偶得到遍历定理；第四章讨论了Feller在1954年引入的更广的一类过程----一维Feller扩散过程，Feller扩散过程允许有从边界到边界的跳发生，即不仅仅局限于从边界到内部的跳，在这一章中，我们给出了一维Feller扩散过程的平稳分布；在第五章，我们讨论了一些相关的问题，给出了DHJ过程对应的PDE问题及特征值与收敛速度的关系。

It is easy to see that the bialgebra H we find,canbe regarded as the enveloping algebra of a Lie algebra,whose generators are thoseof the Lie algebra of type A and n-1 other elements which commute with genera-tors above.

可以看出，我们找到的H作为代数，恰为在An-1型李代数上增加与之可换的n-1个生成元后得到的包络代数，其自然表示的矩阵元恰好生成代数AR。

Firstly, it's proved that the base of free monoid is unique, and that the equation of a base, a generating set and a irreducible generating set in the semigroup with length; Secondly, it's given the relation of a primitive word and a word of indecomposable--Let and is indecomposable, then is primitive ;And by using the length's method and chart,some properties of primitive word have been proved and the solutions of the equation , are discussed; Lastly, on the base of some proposition in Free monoids and Languages ,the proofs of some properties are improved by instruction. For example: Let be a primitive word over X, where .Then is a code. And let then if and only if {} is a code.

首先，讨论了含幺半群中基的基本性质及基与最小生成元集的联系，并给出了含幺半群中基、生成元集、不可约生成元集三者之间的关系；证明了在有唯一长度的半群S中，不可约生成元集、基、最小生成元集三者之间的等价关系；其次，讨论了字的组合与分解性，得出了字的本原性与不可分解性之间的关系---若为不可分解的，则一定是本原的，反之，不一定真；并运用图示法证明了字的可补性理论，讨论了方程，的可解性；在此基础上，用归纳法进一步证明了本原字与码的有关命题--若是X上的一个本原字，其中，则是一个码；若则当且仅当{}是一个码。

The main results are as follows: the relations between local fractional integrated semigroups and the corresponding Cauchy problem, global fractional integrated semigroups and regularized semigroups are given; introduction of the notion of regularized resolvent families, and the generation theorem and analyticity criterions for regularized resolvent families are obtained; the spectral inclusions between fractional resolvent family and its generator, and the approximation for fractional resolvent families in the cases of generators approximation and fractional orders approximation; elliptic operators with variable coefficients generating fractional resolvent family on L^2 by using numerical range techniques; and the L^p theory for elliptic operators with real coefficients highest order are obtained by Sobolev''s inequalities and the a priori estimates for elliptic operators; and a kind of coercive differential operators generates fractional regularized resolvent family by applying the Fourier multiplier method, functional calculus and some basic properties of Mittag-Leffler functions.

主要结论是：给出了局部分数次积分半群和相应的Cauchy问题的关系以及分数次积分半群和正则半群的关系；引入了正则预解族的概念，并给出了其生成定理和解析生成法则；给出了分数次预解族与其生成元的谱包含关系，并研究了在生成元逼近和分数阶逼近两种情况下相应的预解族的逼近问题；利用数值域方法证明了具变系数的椭圆算子在L^2上生成分数次预解族；利用Sobolev不等式和椭圆算子的先验估计证明了具变系数的椭圆算子在其最高项系数为实数时在L^p上生成分数次预解族；运用Fourier乘子理论、泛函演算和Mittag-Leffler函数证明了一类强制微分算子可以生成分数次正则预解族，并给出了该预解族的范数估计。

We construct the generator of gauge transformation and the generator of BRST transformation, then we obtain gauge transformation and BRST transformation of component fields, we find certain relations between the BRST generator and the gauge generator.

我们构造了体系的规范生成元和BRST生成元，分别得到了场量的规范变换和BRST变换，发现超对称不同场的BRST变换与规范变换存在一定的关系。

According to [2], we know that if X is a reflexive Banach space and T is a strongly continuous semigroup on X with the infinitesimal generator A, then the adjoint semigroup T~* is also a strongly continuous semigroup on X* and its infinitesimal generator is A~*, the ajoint operator of A.

由文献[2]我们知道，如果X是一自反Banach空间，那么X上强连续半群T的对偶半群T~*也是X~*上的强连续半群，并且其无穷小生成元为半群T的无穷小生成元的对偶。

For the simplest interactive system of two particles with spin 1/2,the operator of Lie algebra can only realize the transition among the triplets, however, in order to realize the transition between the triplets and the singlet, the operators of Yangian must be involved, that is ,Yangian goes beyond Lie algebra in Quantum Mechanics.

对于最简单的两个-1/2的耦合系统，李代数生成元只能实现其自旋三重态之间的跃迁，而要实现三重态和单态之间的跃迁，必须由Yangian代数中的J 算子所引起，即 J 成为量子力学中超越李代数生成元的算子。

The 1-generator quasi-cyclic codes and their duals are the most frequently encountered QC codes in the literature. Séguin discusses the construction and the enumeration of 1-generator QC codes in the special case where the prime factorization of x~m — 1 is the same in IF_qn as in IF_q.

单生成元的拟循环码及其对偶码是拟循环码中研究最多的一种。Séguin在要求x~m-1在F_q及F_中具有相同的分解的条件下，讨论了单生成元的拟循环码的结构及计数。

与生成元相关的网络解释 [注：此内容来源于网络，仅供参考]

cogenerator：上生成元

cofunction 余函数 | cogenerator 上生成元 | cogredient automorphism 内自同构

Extended Primitives：(扩展图元):该命令共十三个子菜单. 其中

. Teapot(茶壶)可生成茶壶状物体或其一部分. | . Extended Primitives(扩展图元):该命令共十三个子菜单. 其中: | . Hedra(多面体)可定义生成不同类型和面数的多面体.

generating element：生成元

母锥 generating cone | 生成元 generating element | 母函数 generating function

generating element：生成元素;母元

母曲线 generating curve | 生成元素;母元 generating element | 生成函数;母函数 generating function

infinitesimal generator：无穷小生成元

infinitesimal force 无限小力 | infinitesimal generator 无穷小生成元 | infinitesimal group 无穷小群

primitive root：生成元

附子:Prepared aconite root | 生成元:Primitive Root | 神经根:nerve-root

rectilinear generator：直线生成元

rectifying tube 整流管 | rectilinear generator 直线生成元 | rectilinear scanning 直线扫描

ring generator：环生成元

ring extension 环扩张 | ring generator 环生成元 | ring homomorphism 环同态

spanning subgraph：生成子图

生成元|generators | 生成子图|spanning subgraph | 生存时|life time

Generators：生成元

已知一组寿命(Life Time)数据不为正态分布.现在希望用Box-Cox变换将其转化为正态分布.给出的生成元(Generators)为 E = ABC, F = BCD,为了不让可能显著的二阶交互作用相互混杂,C.