下界

The research of this thesis focuses on the infimum and supremun of self-adjoint operators in a complex Hilbert space with respect to the Gudder order, the infimum and supremun of operators in a complex Hilbert space with respect to the *-order and theΓ-inverse of operators in a complex Hilbert space.

本文研究内容涉及Hilbert空间上自伴算子关于Gudder序的上确界和下确界，Hilbert空间上算子关于~*-序的上确界和下确界以及Hilbert空间上算子的Γ-广义逆这三个方面的内容。

By extending the concepts of supremum and infimum in real space to the casein any finite-dimensional Euclidean space a weak supremum set and infimumset theory with respect to cones for the set in finite-dimensional Euclideanspace is developed,and several similar properties to the set in real space are ob-tained,with the concepts of this weak supremumset,w-D-conjugate maps and w-D-subdifferentials theory for the point-to-setmap are developed,and its several properties and its relationships with weakefficient solutions of the multiobjective programming are studied.

推广实空间中上、下确界的概念至任意有限维欧氏空间，建立了有限维欧氏空间中集合的锥弱上、下确界集理论，得到了与实空间中十分相似的性质。借助于这一理论，应用上、下确界的概念，给出了点集映象的w-D-共轭映象及w-D-次微分理论，并研究了它们的若干特性及其与弱有效解之间的关系，此外还讨论了弱鞍点问题。

Fri particular, the Wittmann-type strong law of larg numbers for independent random variables is generalized to the case of NA random variables. We also present the sufficient and necessary condition of the laws of logarithm, and we extend Teicher-type strong law of the large numbers for sequence of NA random variables. Some of the laws of iterated logarithm of Teicher-type, Egorov-type arid Wittmann-type for sequence of NA random variables are obtained. Then we investigate the rate3f ionvergcll( fbr series of NA randonl variables, we obtain soIne results fbr tl1e Iaws of theiterated logarithttl, the laws of logarithm and decreasing order fOr the tail sum.Risk itllttlysis tlleory is a sigIlifica11t part of insurance InatheInatics.

Wittmann（1985a）关于实独立随机变量列的结果，并给出了NA列强大数律成立的若干条件，特别建立了一般NA列对数律成立的充分必要条件，在二阶矩存在的条件下完整的解决了一般NA列对数律的问题，中文摘要2而已有的一些NA列对数律的结果可以由它推出，给出了NA列的Teiclier型强大数律，表明lbiChCI·（1979）给出的实独立随机变量列的强大数律可以减弱其条件等；建立厂不问分布NA列的Teicfl仪；Egorov，Petrov型有界重对数律，以及加权同分布NA列的有界重对数律，进一步推广了NA列的Kolmogory有界重对数律等，特别对NA列建立了Wittm洲型有界重对数律，而其证明方法与独立情形有很大不同，同时通过反例表明在与独立场合类似的条件下，独立列的Wittmann有界重对数律不能完美的推广到NA歹小惰形；最后研究了NA随机变量级数的收敛速度，给出了尾和下降的阶；尾和的有界重对数律，及尾和对数律成立的充要条件等，并通过反例说明 NA随机变量级数与独立随机变量级数在收敛速度方面存在的差异。

Based on the date of outcrop, log and lithology, sequence stratigraphic division and correlation were made on Neopaleozoic in south of North China Basin, and high-precision geologic correlation framework was built up in the basin.2. In the term of sedimentary features of Neopaleozoic in south of North China Basin, lateral variation of sedimentary facies was studied selectively in Benxi-Taiyuan Formation, Shanxi Formation, Lower Shihezi Formation, Upper Shihezi Formation and Shiqianfeng Formation. Lithofacies paleographic features and the sedimentary evolutionary process of Late Paleozoic in south of North China Basin were worked also.3. On the basis of sand-bodies Isopach figure drawing, the distribution of major reservoir sand-bodies of Neopaleozoic in south of North China Basin was studied. Basing on the distribution of sand-bodies in sequence stratigraphic framework, combining the development and distribution features of barrier and underwater distributary channel, there is a disquisition on the distribution regularity of pay reservoir sand-bodies of Neopaleozoic in this area.

以露头、测井和岩性资料为基础，对华北盆地南部上古生界进行了层序地层的划分与对比工作，建立了盆地范围内的高精度地层对比格架。2、根据华北盆地南部上古生界的沉积特点，按本溪组—太原组、山西组、下石盒子组、上石盒子组和石千峰组5个层组分别开展了沉积相的横向变化对比研究，并以此为基础探讨了华北盆地南部晚古生代的岩相古地理特征及其沉积演化过程。3、以编制砂体等厚图的方式研究了华北盆地南部上古生界主要储集砂体的平面展布规律，并以层序地层格架下的砂体展布研究为基础，从沉积体系控制下的砂体分布特点出发，结合障壁岛与水下分流河道的发育与分布特点，系统深入地开展了区内上古生界有利储集砂体的分布规律研究。

Express as a result that the study area gets close to hydrocarbon generation center, have high-quality coal measures hydrocarbon source rock along with big hydrocarbon generation intensity, so it has abundant gas source and the material foundation to form large scale natural gas reservoir; Evaporitic tidal flat facies of the Ordovician Majiagou Formation in this area is situated in the austral expanded range of the karstification zone, and is the optimum natural gas prospecting targets of the lower-Paleozoic; In the south of study area, there are well-developed delta deposition system sand bodies of Shanxi Formation and Xiashijezi Formation, hence this area becoming the most beneficial Neopaleozoic natural gas enriched region; In this area, the Paleozoic develop various concealed non-structured traps, the natural gas migration and accumulation process is very beneficial and both the cover and the conservancy condition are also very good.

结果表明：研究区紧邻上古生界生烃中心，发育优质煤系烃源岩，生烃潜力大，气源充足，具备形成大型天然气藏的物质基础；区内奥陶系马家沟组发育有蒸发潮坪相沉积，位于北部古潜台的向南延伸带上，是下古生界天然气的有利勘探目标；南部山西组和下石盒子组发育三角洲沉积体系砂体，是有利的上古生界天然气富集区；研究区古生界发育各种隐蔽性非构造型圈闭，天然气运聚成藏过程非常有利，封盖和保存条件也很好。

According to the geochemical characteristics of Upper Palaeozoic oil and the relationship between the above characteristics and hydrocarbon resource meks of Carboniferous coal series in Konggu-4 well in the Huanghua depression, this paper elaborates the "fingerprints" of sterene and terpane in saturated hydrocarbon fraction from Tertiary oil.

通过对黄骅孔古4井上古生界原油的地球化学特征及其与石炭系煤系烃源岩的亲缘关系研究，特别是与奥陶系原油、灰岩、下第三系原油饱和烃的甾、萜烷精细&指纹&对比研究后，我们认为孔古4井原油应属于上古生界煤系地层自生自储的原生油气藏，而并非下第三系抑或下古生界碳酸盐岩所生。

The main creating aspects are finding and clarify such a fundamental physical process that the grain boundaries emit vacancies under compressive stress to induce solute non-equilibrium grain boundary dilution and absorb vacancies under tensile stress to induce non-equilibrium grain boundary segregation, formulizing the structural equations and the composition equations in force equilibrium in grain bounary region to describe this physical processes and the kinetic equations for non-equilibrium grain boundary segregation under tensile stress, calculating the modulus in grain boundary region from the expermental data of grain bounday segregation using the structure and coposition equations and calculating the diffusion coefficients of vacancy-solute atom complexes using the kinetic equation simulating the experimental results of grain boundary segregation.

本项目的主要创新点是，发现并阐明了弹性应力场作用下空位与晶界交互作用的基本物理过程：在张应力作用下，晶界会吸收空位，引起溶质非平衡晶界偏聚；压应力作用下，晶界会发射空位，引起非平衡晶界贫化。建立了描述此物理过程的晶界区力学平衡的结构方程和成分方程；？建立了张应力引起的非平衡晶界偏聚动力学方程？；用晶界区力学平衡的结构方程和成分方程？，首次通过实验测量计算出多晶材料晶界区的弹性模量；通过建立的动力学方程模拟实验结果，首次获得溶质原子－空位形成的复合体的扩散系数。

But it only can use one time, after once puts on cannot again take off, because extinguished actually its witch collects the strength under its influence already to surmount its own limit, too crossed the exuberant flame finally to be able to burn oneself, when it is loosened once more, the technique in instantaneous will obtain certainly the big strength, but in after, also will lose his/her body for extinguished actually all abilities Constrains the word spirit: The light depends on the technique name to be able the reflective launch technique Pulls the star box: God of death aristocrat's symbol * Breaks the Asian space newly, in order to does not let the space which the present world and the corpse soul each other contact produces impractically in the traversing break the accident separately outside the samsara soul, paces back and forth is breaking, passes through year after year gathers in together, afterwards the soul can separate the memory and the energy, does for returns to the samsara to prepare.

不过它只能使用一次，一旦戴上后就不能再脱下来，因为灭却师在它的影响下其灵子收束力已经超越了其自身的极限，太过旺盛的火焰最终会烧伤自身，当它再次被解下时，术者将在瞬间得到绝大的力量，但在之后，也将失去其身为灭却师的所有能力压抑言灵：光靠术名就能反射性的发动术牵星箱：死神贵族的象征吧（朽木白哉头上的东西★新断界亚空间，为了不让现世与尸魂界彼此接触而产生的空间虚浮在穿越断界意外失散于轮回外的魂魄，徘徊在断界，经过长年累月聚集在一起，之后魂魄会分离出记忆和能量，做为重返轮回做准备

In this paper,we use the method of the estimated characteristic function to estimate a lower bound of the first eigenvalue on compact Riemann manifold.

本文利用特征函数梯度估计的方法对紧致Riemann流形上的第一特征值的下界进行了估计。

Numerical examples show that the bounds porvide a convenient way of testing the structured backward stability of computed solutions to the linear system ATAx = b.

计算实例表明：这个被获得的ηs的上、下界，为检验线性方程组ATAx=b的计算解的结构向后稳定性，提供了一个简便的方法。

Do you know, i need you to come back

你知道吗，我需要你回来

Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书，王祥生，李德昌。安徽省首次发现嗜群血蜱。