界

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。

And some new approaches based on minimum upper bound of error probability for feature selection and clustering are proposed.

提出了基于Chernoff上界、优化Chernoff上界和Bayes上界逼近三种最小错误概率上界的精确计算方法。

The representation of sequences is very helpful for the research of their linear complexity,so this paper we first research trace representation of periodic sequences,and the trace representation of a New Generalized Cyclotomic Sequence of order two of length pq is given,then for 2~mp~n period binary sequences,where p is an odd prime and 2 is a primitive root modulo p~2,we present a relation-ship between the linear complexity and the minimum value k for which the k-error linear complexity is strictly less than the linear complexity and have the upper bound and lower bound of the value k, finally we discuss the k-error linear complexity of legendre sequences,also have the upper bound and lower bound of the value k,and discusses the situation where the linear complexity drop again for some Legendre sequences.

序列的表达形式对于其线性复杂度的研究是十分有帮助的，本文我们首先研究的是周期序列的迹表示，给出了2阶pq长度的扩展分圆序列的迹表示，然后讨论了周期为2~mp~n(m≥2)序列的线性复杂度与使得线性复杂度变小的最小的k值的关系，给出了k值的上界和下界，这里p为奇素数，2是模p~2的本原根，并通过例子讨论了其线性复杂度的稳定性，最后对Legendre序列k-错线性复杂度进行了分析，也给出了k值的上界和下界，并对某些Legendre序列讨论了线性复杂度再次下降的情况。

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。

We introduce convex,and in particular semidefinite,optimization methods,duality and complexity theory to shed new light to this relation for the single stock problem, given moments of the prices of the underlying assets,we show that we can find best possible bounds on option prices with general payoff funcations efficiently,either algorithmically(solving a semidefinite optimization problem)or in closed form, conversely,given observable option prices,we provide best possible bounds on moments of the prices of the underlying assets,as well as on the prices of the other options on the same asset by sovling linear optimization problems for options that are affected by multiple stocks either directly(the payoff of the option depends on multiple stocks)or indirectly(we have information on correlations between stock prices),we find on-optimal bounds using convex optimization methods,however,we show that it is NP-hard to find best possible bounds in multiple dimensions,we extend our results to incorporate transactions costs,this paper,in theory and practice can provide a reference to researchers and designers about Chinese financial derivative products,the full text is divided into six chapters as follows: ChapterⅠ:Papers on the background and significance of the subjects on a number of option pricing models as well as their advantages and shortcomings of the model and describes the status of research and writing papers and the main contents of the basic idea.

相应地，给定期权价格，也能够出标的资产瞬时价格的最有可能的最好的界。还有通过解决一个线性最优化问题，根据同一标的资产的其他期权的价格来找到这个期权的界值，对于期权受到多种股票价格直接影响(期权的收益依赖于多种股票)或者间接影响(我们有股票之间联系的有用信息)，如果使用凸规划方法我们就会发现没有最优的界，也能够证明对于多维情形确实是很难找到最优的最有可能的界值，最后将这一结论推广到考虑交易成本的情况。本文在理论和实践上给我国金融衍生产品研究者和设计者提供一定的参考。全文共分为六章，具体安排如下：第一章：阐述论文的选题背景和意义，介绍期权定价的一些模型以及这些模型的优点与缺点，并介绍国内外研究的现状以及论文的写作基本思路与主要内容。

Browse 8 Unbounded Unbounded Unbounded Following the visit 6 and later a major technological breakthrough in addition to Microsoft-based browser full-transparent proxy encryption, the unbounded browse 8 opening of a new invention called the road to the Super Eagles agent server connection technology to coordinate a global search for a variety of resources for users to use a proxy server, fast, unlimited capacity, and technology platform for the global network free basis.

无界浏览8是继无界无界浏览6之后又一个重大技术突破，除了具备基于微软浏览器的全透明加密代理之外，无界浏览8启用了新发明的名为雄鹰之路的超级代理服务器连接技术，能够搜寻协调全球各种代理服务器资源供用户使用，速度快，容量无限大，并为全球网络自由技术平台奠定基础。

In the study of the Lagrange stability of impact motion, we give some conditions of the bouncing solution of the asymptotically linear equation which is bounded or unbounded. Outside of a large disc, using the symplectic transformation of the Hamilton system to estimate the iteration of the successor map. Applying the Moser's small twist theorem, we get the invariant curves and then give the proof of the bouncing solutions which is bounded. We will estimate the successor map of the equation directly for proving the unboundedness of the bouncing solutions.

在碰撞运动的Lagrange稳定性的讨论中，给出了渐近线性方程碰撞解有界或无界的条件，在充分大的圆盘外，通过Hamilton系统的辛坐标变换的角度平均来估计后继映射的迭代，应用Moser小扭转定理得到不变曲线从而给出在一定条件下碰撞解有界的证明，碰撞解无界性的证明将采用直接估计后继映射的方法给出。

The analysis results of species in avifaunal subregions of China by cluster method and PAE method were basically consistent, which supported two realms (palaearctic realm and oriental realm) of zoogeographical region divided by the line of Qinling Mountains.

用聚类方法和PAE方法对鸟类亚区分布格局的分析结果基本一致，都支持我国鸟类动物地理区系归属于古北界和东洋界，两界以喜马拉雅山脉和秦岭山脉一带构成两界的分界线。

Results The superior wall of cavernous sinus, longitudinal trapezoid in shape, was limited laterally by anterior petroclinoid ligament and lateral margin of anterior clinoid process, and medially by the dura of the diaphragma sellae, anteriorly by the base of anterior clinoid process and the falciform dural fold, and posteriorly by the posterior petroclinoid ligament.

结果 海绵窦上壁呈纵长的四边形。外侧界为前床岩韧带和前床突外缘；内侧界为鞍隔的硬膜缘；前界为前床突基底部和镰状硬膜皱褶；后界为后床岩韧带。

Since the commutators of both sing-ular integral operators and fractional integral operator with BMO functions areone of the special cases of〓,so the discussion of the boundedness of〓notonly gives a new proof of the boundedness of the two commutators,but al-soweakens some of restrictions into discuss the problem,thus it impro-vessome of results inwith the method of complex analysis,show-ed boundedness of〓,then directly obtained boundedness of the commutato-rs of fractional integral operator with BMO functions.

既然奇异积分算子和分数次积分算子与BMO函数的交换子是其特殊情形，所以〓的有界性的讨论不仅给出了中关于这两类交换子有界性的一个新的证明，而且减弱了中讨论这一问题时对齐型空间所作的限制，从而改进了中的结果（利用复分析的方法，先证明〓的有界性，从而直接得到分数次积分算子与BMO函数的交换子〓的有界性。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。