查询词典 resolvent set

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。

The research is carried on from four aspects. One is, based on answering the above open problem on a finite dimensional Euclidean space by means of partially ordered theory, to research the existence of solutions, global error bounds of proximal solutions and sensitivity of parametric unique solutions and present a class of variable-parameter three-step iterative algorithms for generalized set-valued variational inclusion problems by using - resolvent operator of set-valued mapping.Two is to consider the convexity, closedness and boundedness of the solution set of general set-valued variational inclusion problems and the sensitivity of the parametric solution set by means of graphical convergence theory. Three is to discuss directly the existence of solutions by using analytical methods for set-valued mixed quasi-variational-like inequalities and suggest a class of direct variable-parameter three-stepiterative algorithms for solving generalized set-valued variational inclusions.

研究分有三个方面：一是借助于偏序理论在有限维欧氏空间中解决了上述公开问题，在此基础上利用集值映射的η-预解算子，研究了广义集值变分包含问题解的存在性、逼近解的全局误差界、参数唯一解的灵敏性，并提出了一类变参数三步迭代算法；二是借助于图收敛理论研究了一般集值变分包含问题解集的凸性、闭性和有界性以及参数解集的灵敏性；三是用分析的方法直接讨论了集值混合拟类变分不等式问题解的存在性并提出了一类求解广义集值变分包含问题的直接变参数三步迭代算法。

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。

In this paper, we study syzygies of injective resolvent s and cosyzygies of injective resolutions, and probe the relationship of injective resolvent s and injective resolutions, and then prove that if R is a Noetherian ring with id≤n, then every left R-module has injective dimension at most n or ∞.

研究了内射预解式的合冲模与内射分解式的上合冲模，并探讨了内射预解式与内射分解式之间的联系，证明了如果环R是Noether环且id≤n，则每个左R-模的内射维数小于等于n或者为∞。

For an abitrary set X, appropriate order relations on WCL (the set of all weak closure operators), WIN (the set of all weak interior operators), WOU (the set of all weak exterior operators), WB (the set of all weak boundary operators), WD (the set of all weak derived operators), WD*(the set of all weak difference derived operators), WR (the set of all weak remote neighborhood system operators) and WN (the set of all weak neighborhood system operators) can be defined respectively, which make WCL, WIN, WOU, WB, WD, WD*, WR and WN to be complete lattices that are ismorphic to CS(X,CS is the set of all closure systems on X.

证明了可以在WCL(X上的弱闭包算子的全体)、 WIN(X上的弱内部算子的全体)、 WOU (X上的弱外部算子的全体)、 WB (X上的弱边界算子的全体)、WD、 WD*(X上的弱差导算子的全体)、 WR(X上的弱远域系算子的全体)和WN(X上的弱邻域系算子的全体)上定义适当的序关系，使它们成为与CS(X，〖JX-*5[JX*5]同构的完备格其中CS(X是给定集合X上的闭包系统的全体。

A set is "less than" another set if and only if the first set is a proper subset of the second set, and a set is "greater than" another set if and only if the first set is a proper superset of the second set.

只有当第一个集合是第二个集合的严格子集时，我们才称第一个集合"小于"第二个集合，同理，只有当第一个集合是第二个集合的严格超集时，我们才称第一个集合"大于"第二个集合。

To declare what we can do with a set, we start a header file Set.h:#ifndef SET_H #define SET_H extern const void * Set; void * add (void * set, const void * element); void * find (const void * set, const void * element); void * drop (void * set, const void * element); int contains (const void * set, const void * element);#endif The preprocessor statements protect the declarations: no matter how many times we include Set.h, the C compiler only sees the declarations once.

宣布我们能做些什么用一套，我们开始一个头文件Set.h ：＃ ifndef SET_H ＃定义SET_H 外部构造无效*设置；无效*地址（无效*一套，无效*常量元素）；无效*找到（常量无效*一套，无效*常量元素）；无效*下降（无效*一套，无效*常量元素）；国际载（常量无效*一套，无效*常量元素）；＃ endif 预报表保护声明：无论多少次我们包括Set.h ， C编译器将只看到申报一次。

Thesis and mainly discuss the following problems:What we mainly discussed in the second chapter as follows:(1) S1,S2 are sets of symmetric orth-symmetric matrices;(2) S1,S2 are sets of bisymmetric matrices;(3) S1,S2 are sets of anti-symmetric orth-anti-symmetric matrices;(4) S1,S2 are sets of bi-anti-symmetric matrices;(5) S1 is the set of symmetric orth-symmetric matrices, S2 is the set of anti-symmetric orth-anti-symmetric matrices;(6) S1 is the set of bisymmetric matrices, S2 is the set of bi-anti-symmetric matrices;(7) S1 is the set of anti-symmetric orth-anti-symmetric matrices, S2 is the set of symmetric orth-symmetric matrices;(8) S1 is the set of bi-anti-symmetric matrices, S2 is the set of bisymmetricmatrices;On the base of studying the basic properties of the matrices, the expression of solutions and some numerical examples are presented.

本文第二章将主要就上述问题讨论如下几种情况： 1.S_1，S_2为对称正交对称矩阵； 2.S_1，S_2为双对称矩阵； 3.S_1，S_2为反对称正交反对称矩阵； 4.S_1，S_2为双反对称矩阵； 5.S_1为对称正交对称矩阵，S_2为反对称正交反对称矩阵； 6.S_1为双对称矩阵，S_2为双反对称矩阵； 7.S_1为反对称正交反对称矩阵，S_2为对称正交对称矩阵； 8.S_1为双反对称矩阵，S_2为双对称矩阵。

The fixed assets are 78 million Yuan. The main equipment for mould is imported from abroad such as: Three coordinate numerical control milling machine imported from Japan, on set; large type the five coordinate milling machine typed dragon imported from Spain, sise (4000 x 2500), one set; three coordinate numerical control processing center size (2000 x 1000) imported from Spain, one set; powerful numerical control milling machine typed dragon imported from Taiwan, size (3200 x 2540), one set; five coordinate milling machine typed with five drift link movement imported from Italy, size (4000 x 2500), one set; Five faces numerical control milling machine HVM502T typed dragon imported from Taiwan, one set; numerical control scanning measuring machine imported from America size (5000 x 2438 x l824), one set. Others sophisticated equipment are made in China, such as numerical control cutting machine, planer typed dragon, pressing machine for research, total 16 set; advanced computer graphical working station, total 40 sets. The automobile cover has become into advantage, which is supplied various auto. Cover mould and cool Press mould to many big factories, such as: Jinan Auto. Manufacturing General Factory, Beijing Light-duty Auto. Manufacture Co., Changhe Auto. Manufacturing Factory, Shandonq Bulldozed General Factory, Jinan Diesel Factory, Qongdao Sifang Locomotive Factory, Dongfeng Auto.

该厂现有固定资产7800万元，用于模具制造的有日本引进的数控三座标铣床一台，西班牙引进的大型五坐标龙门仿形铣床一台（4000*2500），三座标数控加工中心一台（2000*1000），从台湾引进的强力数控龙门铣床一台（32O0*2540），从意大利引进的五轴联动五座标龙门铣床一台（4000*2500），从台湾引进五面体数控龙门铣床HVM502T一台，从美国引进的数控扫描测量机一台（5000*2438*1824）以及国产联高精尖的数控切割机，龙门刨床、研配压床等大型设备 I6 台套，高档计算机图形工作站40多台，在模具制造方面已形成制造汽车覆盖件模具的优势，产品质量达到国内先进水平，多年来为济南汽车制造总厂、北京轻型汽车制造有限公司，昌河汽车制造厂、山东推土机总厂、济南柴油机厂、青岛四方机车厂、东风汽车公司等大型骨干企业的产品更新换代生产制造了各种类型的覆盖件模具及冷冲模具，受到用户的好评，并建立了较稳定的供需关系。

Armour rods (to be installed in suspension clamps) Parallel clamps Sub-Total, items 4.1-4.7 OTHER HARDWARE Counterweights for jumper or suspension insulator strings, including necessary device for attachement 50 kg 100 kg Sub-total, item 5.1 – 5.3 SPARES Insulator Units Type U160 Type U210BS Hardware for Conductor ACSR-BISON Complete set of hardware and fittings for suspension string Complete set of hardware and fittings for tension string Complete set of hardware and fittings for jumper string Complete set of hardware and fittings for transposition string Extra suspension clamps Extra tension clamps Extra tension joints Extra repair sleeves Extra vibration dampers Extra armour rods Extra spacers: for span for jumper alternatively spacer dampers Hardware for Earthwire 7 No. 6 AWG Complete suspension set Complete tension set Vibration dampers, Stockbridge type Extra tension clamps Extra tension joints Extra vibration dampers Extra parallel clamps Extra armour rods Hardware for Earthwire 7 No. 6 AWG Complete suspension set Complete tension set Vibration dampers, Stockbridge type Extra tension clamps Extra tension joints Extra vibration dampers Extra parallel clamps Extra armour rods Sub-Total, items 6.1-6.4 Sub-total, Items 1.4, 2.7, 3.8, 4.8, 5.4 and 6.5 Transfer to Summary, Schedule AS-1

装甲棒 平行夹具小计，项目4月1号至4月7号其他硬件重物跳线或中止绝缘子串，包括必要的设备attachement 50公斤 100公斤小计，项目5月1号至5月3号备件绝缘子单位型U160 类型U210BS 硬件导体钢芯铝绞线，拜森一套完整的硬件和配件的暂停字符串一套完整的硬件和配件的紧张字符串一套完整的硬件和配件的跳投字符串一套完整的硬件和配件的转字符串额外的悬浮夹额外的紧张局势夹额外的紧张关节额外的修理袖子额外的振动阻尼器额外的装甲棒额外的间隔：为跨度跳线或者间隔减震器硬件Earthwire 7特设工作组第6号完整的悬挂设定一套完整的紧张局势振动阻尼器，斯托克型额外的紧张局势夹额外的紧张关节额外的振动阻尼器额外的平行夹具额外的装甲棒硬件Earthwire 7特设工作组第6号完整的悬挂设定一套完整的紧张局势振动阻尼器，斯托克型额外的紧张局势夹额外的紧张关节额外的振动阻尼器额外的平行夹具额外的装甲棒小计，项目6月1号至6月4号小计，项目1.4 ， 2.7 ， 3.8 ， 4.8 ， 5.4和6.5 （换乘摘要，附表1 仅供参考

Article 144 The Government of the Hong Kong Special Administrative Region shall maintain the policy previously practised in Hong Kong in respect of subventions for non-governmental organizations in fields such as education, medicine and health, culture, art, recreation, sports, social welfare and social

第一百四十四条香港特别行政区政府保持原在香港实行的对教育、医疗卫生、文化、艺术、康乐、体育、社会福利、社会工作等方面的民间团体机构的资助政策。原在香港各资助机构任职的人员均可根据原有制度继续受聘。

Small wonder, then, that the Chinese spend more in the shop than any other group of foreign visitors do .

这样的小惊喜，使中国顾客比任何国家的人消费得更多。