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Especially,in the sub structure with descending chain condition of sub,every sub can be decomposed as finite intersection of submaximal sub s.

在子结构中引入了次极大子和次极小子的概念,讨论了它们的性质,并得到子的如下分解定理:子结构中的任一子都可表示为一些次极大子的交,特别地,在满足子降链条件的子结构中,每个子都可表示为有限个次极大子的交。

Any function on an interval will be expanded as the sum of finite items of the scaling functions and wavelets. It plays an important role for numerical analysis of partial differential equations, signal processes, and other similar problems.

于是,任何有限区间上的函数皆可表示为该区间上的尺度函数和小波函数的有限和,即小波级数,这克服了用无穷区间上的小波进行有限信号处理时,在边界上误差较大的不足,同时将该小波用于偏微分方程具有同样重要的意义。

For all finitely additive probability measures defined on theσ-algebra ?

上的所有有限可加概率测度的表示理论。

The definition of Wavelet Analysis is that shifting the mother wavelet e.g. which has limited energy, such as shifting for, then proceeding dimensions, we obtained wavelet basis function ,, which make the inside product to the function to analysis With the Fourier transformation to the and, then the equivalent frequency spectrum of wavelet transformation can be expressed as where 、 are the transformations of 、 respectively and i is an imaginary number unit.

小波变换的含义是:把一具有有限能量的母小波,如进行移位后,再进行尺度的伸缩得到小波基函数为然后与待分析的函数作内积,即对和作Fourier变换后,可得到小波变换的等效频域表示为:其中、分别是、的Fourier变换,i为虚数单位。

As two important tools, the weight space decomposition of modules of a nilpotent Lie algebra (Section 1) and irreducible finite dimensional representations of solvable Lie superalgebras (Section 2.3) are presented in detail.

讨论过程中,作为两个重要的工具,对幂零李代数其模的权空间分解(第1节),以及可解李超代数的有限维不可约表示(第2.3节)也作了详细的介绍。

Within the last few years these Gnostic vowels, so long a mystery, have been the object of careful study by Ruelle, Poirée, and Leclercq, and it may be considered proven that each vowel represents one of the seven planets, or archons; that the seven together represent the Universe, but without consonants they represent the Ideal and Infinite not yet imprisoned and limited by matter; that they represent a musical scale, probably like the Gregorian 1 tone re-re, or d, e, f, g, a, b, c, and many a Gnostic sheet of vowels is in fact a sheet of music.

在过去几年中这些gnostic元音,只要是一个谜,已对象仔细研究ruelle , poirée ,勒克莱尔,它可被视为证明,每个元音代表之一的七个行星,或执政官;表示,七一起代表宇宙,但没有辅音他们所代表的理想和无限尚未被监禁的和有限的问题;他们所代表的一出音乐剧的规模,大概想阳历一月的语气再转口,或D ,电子商务,男,克,, B , C和许多gnostic资产负债表元音,其实是一张音乐。

He also favorably reviewed OP in Entertainment Weekly (11 July 2003), noting of Harry's longevity prospects:"My best guess is that he will indeed stand time's test and wind up on a shelf where only the best are kept: I think Harry will take his place with Alice, Huck, Frodo and Dorothy, and this is one series not just for the decade, but for the ages."

他为娱乐周刊中写了一个赞许(原谅我中文词汇有限==)《凤凰社》的书评(7月11日2003年),对哈利故事寿命的前景表示:&我最好的猜测是他会经受住时间的考验,并且最终被放到只陈列最佳作品的书架上:我想哈利会和爱丽丝,哈可,弗罗多,和桃乐茜在一起,这个系列不仅只适合这个年代,而是更久。&

And a new mechanism is provided to store the data of OWL in relational database, the hierarchy structures of classes and properties defined in the OWL are also kept through views of the database system. 2、 Proposed a new method of using Finite State Machine and execution tag tree to describe the excution logic of existing grid service and the goal service specified by users, using Deterministic Propositional Dynamic Logic and FSM to determine the composable of goal service and make the composition plan. The computation complex is also discussed 3、 Designed some algorithms to compose existing grid services according to user requirement.

同时提出了一种新的机制,使用关系型数据库来存储OWL定义的实体,使用视图表示OWL中定义的类之间和属性之间的层次关系; 2、提出了使用有限状态自动机和执行标记树,表示网格系统中存在的网格服务和代表用户需求的目标服务的执行概要和逻辑,结合确定性动态命题逻辑,研究了目标服务的可组合性和自动组合模型,并讨论了组合模型的计算复杂度; 3、设计了一种根据用户需求来组合已存在的网格服务的算法。

In chapter 1, we introduce the notions of the approximately 2-local automorphisms, the approximately local Hilbert space representations and the approximately 2- local Hilbert space representations;We prove that every surjective and multiplicative approximately local *-automorphisms of a C*- algebra with a unique faithful tracial state is *-automorphisms;surjective approximately 2- local *- automorphisms of C*-algebra with unique faithful tracial states are Jordan *- automorphisms;Surjective approximately 2- local *- automorphisms of a finit factor are *-automorphisms;Approximately 2- local *- automorphisms of M_n are *-automorphisms.

第一章定义了近似2—局部自同构,近似局部表示,近似2—局部表示;证明了有唯一忠实迹态的C~*-代数上的满可乘近似局部*—自同构是*—自同构,满近似2—局部*—自同构是Jordan *—自同构,有限因子上的满近似2—局部*—自同构是*—自同构,以及矩阵代数M_n上的近似2—局部*—自同构是*—自同构。

This paper mainly deals with distribution of primitive polynomials and primitive elements over finite fields. LetFq be a finite field of q elements with characteristic p , xn + a1xn-1 +...+ an-1x + an be a polynomial over Fq .

本文主要研究有限域上本原多项式及本原元的分布,设F_q表示有q个元素的有限域,q为素数的方幂,F_q是F_q的多项式环,文献[10][11]中证明在F_q上,存在可预先指定a_1,a_2的n≥7次本原多项式。

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Fancy gold-plated dangling earrings with facetted White Opal crystals.

花式镀金悬垂耳环与facetted白欧泊水晶。

This essay chooses the study aim from biology teachers in middle school in Shi Jiazhuang which tells us that most of the middle school biology teachers in Shi Jiazhuang have the"burnout", lower successfulness, individualize.

本文选取石家庄市初中生物教师作为研究对象,运用问卷调查的方法对石家庄市初中生物教师职业倦怠的现状进行调查,调查结果发现,石家庄市初中生物教师这一群体普遍存在职业倦怠,情感枯竭程度偏高,成就感偏低,去个性化程度最为严重。

In measurements of a day,generallyspeaking,the photosynthesis of birch in mesophytic habitat is better than that in xerophytichabitat(peak values are 12.8,10.33μmolCO2m-2s-1 respectively);that of sexual birch inmesophytic habitat is better than that of clone birch(peak values are 9.87,6.71μmolCO2m-2s-1respectively);that of young tree is better than that of seedling(peak values are12.37,10.05μmolCO2m-2s-1 respectively).

在一天中的各个时刻,总体说来,中生生境生长的白桦光合作用超过旱生生境生长的白桦光合作用(净光合速率峰值分别为12.8、10.33μmolCO2m-2s-1);白桦幼树的光合作用超过白桦幼苗(净光合速率峰值分别为12.37、10.05μmolCO2m-2s-1);中生生境有性白桦的光合作用超过无性白桦的光合作用(净光合速率峰值分别为9.87μmolCO2m-2s-1、6.71μmolCO2m-2s-1)。