下界的

Firstly, the decision matrix is transformed into an objective matrix, and then the weight of every objective is determined by means of entropy coefficient method. By Integration of experts' knowledge, the acceptable lower bound of degree of satisfaction and acceptable upper one of degree of dissatisfaction of every objective are decided. At last, by using the weight vector and the acceptable lower boun...

首先将决策矩阵转化为目标矩阵，然后利用熵权系数法计算各个目标的权重，综合专家的意见得到对于每个目标可以接受的满意度的下界和不满意度的上界，最后利用得到的权重向量以及得到的满意度的下界和不满意度的上界计算各方案的vague估计值，将得到的vague估计值按照评分函数进行排序，得到方案的排序结果。

FR conjugate gradient methods with perturbations are proposed. The global convergence property of the first method is proved under the condition of main directions' sufficient descent. Whereas, in the proof of the convergence for the other two methods, we only need main directions' descent. Importantly and quite interesting, boundedness conditions such as objective function being bounded below, boundedness of level set are not needed. Chapter 5 presents a version of Dai-Yuan conjugate gradient method with perturbations.

在主方向充分下降的条件下证明了第一个方法的全局收敛性，而后两个方法的收敛性是在主方向下降的条件下证明的，这些收敛性证明的一个共同特征就是不需要目标函数有下界或水平集有界等有界性条件，第5章采用Wolfe或Armijo步长规则提出了带扰动项的Dai-Yuanabbr。

Bright Star by John Keats Bright star, would I were stedfast as thou art--- Not in lone splendour hung aloft the night And Watching, with eternal lids apart, Like nature's patient, sleepless Eremite, The moving waters at their priestlike task Of pure ablution round earth's human shores, Or gazing on the new soft-fallen mask Of snow upon the mountains and the moors--- No-yet still stedfast, still unchangeable, Pillow'd upon my fair love's ripening breast, To feel for ever in a sweet unrest, Still, still to hear her tender-taken breath, And so live ever---or else swoon to death.

灿亮的星灿亮的星啊，但愿我能如你坚定---但并非孤独地在夜空闪烁高悬，睁着一双永不合拢的眼睛，犹如苦修的隐士彻夜无眠，凝视海水冲洗尘世的崖岸，好似牧师行施净体的沐浴，或正俯瞰下界的荒原与群山被遮盖在轻轻飘落的雪罩里---并非这样---却永远鉴定如故，枕卧在我美丽的爱人的酥胸，永远能感到它的轻轻的起伏，永远清醒，在甜蜜的不安中，永远、永远听着她轻柔的呼吸，永远这样生活---或昏厥而死去。

Secondly, the author gives some exact values of mb(2 q) for some values of b, which impliesthat the above lower bound is not only the lower bound but also the infimum.

其次，对于部分b值，给出了m_b（2，q）的确切值，从而说明了上面给出的下界值不仅是下界而且是下确界。

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。

The Hausdorff measure for the level sets of multi-parameter symmetric stable processes has been obtained and the inner connection of the measures and local times for it has been demonstrated, which describes the fractal nature for the level sets of this kind of processes. As we know, it is always one of the focuses in the field of random fractal. The reasult of the existence and continuity of the local time for multi-parameter stochastic processes with stable components has been got in the project. Then we gained the measure for the random fractal sets such as the range and graph of this kind of processes. Furthermore, a progress besides the mentioned above in the project is that we have resolved the multifractal analysis of the sample paths for Brownian sheet, that is the multifractal decomposition of white noise in high dimension.

解决了多指标对称稳定过程水平集的Hausdorff测度问题，同时给出N指标d维稳定过程水平集的Hausdorff测度下界的最佳估计，它们揭示了其水平集的测度与局部时之间的内在关系，刻划了多指标对称稳定过程水平集的分形特征，表明了研究此类问题的积极意义，该问题是随机分形研究领域的国内外学者所关注的热点问题之一；解决了多指标稳定分量过程的局部时存在性与连续性问题，进而解决了由多指标稳定分量过程产生的随机分形集--象集、图集的测度问题；此外，本研究项目还解决了布朗单样本轨道的重分形分析，即高维白噪音的重分形分析问题。

Lo in the orient when the gracious light Lifts up his burning head, each under eye Doth homage to his new-appearing sight, Serving with looks his sacred majesty, And having climbed the steep-up heavenly hill, Resembling strong youth in his middle age, Yet mortal looks adore his beauty still, Attending on his golden pilgrimage: But when from highmost pitch with weary car, Like feeble age he reeleth from the day, The eyes now converted are From his low tract and look another way: So thou, thy self out-going in thy noon: Unlooked on diest unless thou get a son.

看，当普照万物的太阳从东方抬起了火红的头，下界的眼睛都对他初升的景象表示敬仰，用目光来恭候他神圣的驾临；然后他既登上了苍穹的极峰，象精力饱满的壮年，雄姿英发，万民的眼睛依旧膜拜他的峥嵘，紧紧追随着他那疾驰的金驾。但当他，象耆年拖着尘倦的车轮，从绝顶颤巍巍地离开了白天，众目便一齐从他下沉的足印移开它们那原来恭顺的视线。同样，你的灿烂的日中一消逝，你就会悄悄死去，如果没后嗣。

Treatment is conducted with a single posterior spinal field abutting two lateral cranial fields. The opposed lateral fields are half-blocked and the inferior line is perpendicular. The posterior field uses some fixed field parameters so that the cephalad edge of the posterior field is coplanar with the caudal edges of the lateral fields and it is independent of the height of the couch.

治疗采用2个侧向全颅野加一个背侧的全脊髓野，2侧全颅野采用半野技术，下界共面并垂直于地面；固定全脊髓野一些参数以方便设计及摆位，并且上界与全颅野下界共面。

Through establishing the priori estimates for the approximation solutions, we pove the existence of global generalized solution by using the compactness principle and obtain the global property for the generalized solutions in the space L〓. At the last, a new method is used to prove the uniqneness which is a good results, at some extense, under generalize conditions.

运用De Giorgi的最大模估计方法，证明了解的整体上界估计和准衰减型的估计，进一步，在边值和初值具有正的下界条件下，证明了解的一致下界估计，得到了深刻结果。

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。

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。