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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。

Your self-evaluation should include a general assessment of your strengths -- are you the company's best technical person, best rainmaker, best all-around resource?

你的自我评价应该包括对你自身长处的一个大体评价――你是不是公司最好的技术人员，业绩最棒的，或者是能力最全面的？

He thought,"The road will not be rutted by the carts, the bullocks will be able to choose the best of all the grass, we will find the best fruits and vegetables to eat, my people will appreciate my leadership and, in the end, I will be able to bargain for the best prices."

他想：先走的话，道路没有被车轮压坏，牛群可以选丰美的青草来吃，我们也可以采摘最好的水果和蔬菜，人们会赞许我的领导能力，而且，我还能和买家谈个好价钱。

And the products of which are quite popular there. Saite will serve all the public based on "Best quality, best fame, and best service" and sincerely welcome friends from all over the world.

塞特仍将以其"卓越的品质，良好的信誉和一流的服务"服务于大众，并竭诚欢迎您的光临与指导。

The best smell is bread, the best savour salt, the best love that of children.

最香的气味是面包，最好的调料是盐，孩子的爱是最棒的。

A paean to the famed auteur who 50 years ago scored an Oscar trifecta for " The Treasure of the Sierra Madre": Best Director, Best Screenplay, and Best Supporting Actor.

他是奥斯卡的奇迹，他的家庭被奥斯卡的光环所笼罩，从来没有哪个家庭祖孙三代都获得过奥斯卡。

It mean she has got the three award of best songstress, annually best actor and best new actor in her sing career

这意味着她在演唱生涯中已将最佳女歌手、年度最佳艺人和最佳新人三个奖项收入囊中。

Pass to count to Wisterch parameter , and the steel wire is different from the molding tool get in touch with the length, and settle the path the research taking the length work the stabber angle to get under differently pull to stir the term, mold core adoption of best severally why size, combine the best work stabber of research the Cape, and settle the path to take the length nextly steel wire is in the molding tool of have fever to measure, air inside dispel-heat calories, winding dispel-heat on the coil-canister , and its molding tool dispel-heat calories of, and cause the steel wire the temperature difference pass in and outing the molding tool to influence steel wire machine function, under the experiment inside pull to stir the term according to the same race different work stabber Cape half of adoption the Cape(7 degree,10 degree,12 degrees, the best mold Cape, experience mold Cape) settle the path to take the length(2-3 mm,3-4 mm,4-5 mms, theories length, experience length) to proceed to experiment, and get the conclusion, work stabber the Cape then is more big the steel wire get in touch with the length with

通过对Wisterch参数，钢丝与模具接触长度、定径带长度、工作锥角度的研究得到了在不同拉拨条件下模芯采用的最佳几何尺寸，并研究最佳工作锥角、定径带长度下钢丝在模具中的发热量、空气中散热量、卷筒上的散热量及其模具散热量的不同，导致钢丝进出模具的温度差别对钢丝机械性能的影响，在实验中根据同种拉拨条件下采用不同工作锥角半角、定径带长度进行试验，得出结论，工作锥角越大则钢丝与模具接触长度越短，钢丝变形越剧烈，在模具中发热量就越高，导致钢丝出模温度高，使钢丝强度、硬度升高，弯曲、扭转次数降低，并且降低模具使用寿命。在其它条件相同的情况下，定径带越长则钢丝与定径带简壁磨擦增大，使钢丝发热量加大，从而使钢丝强度、硬度略升高，弯曲扭转次数略降低但定径带的增大减小了钢丝变形产生的弹性后效使钢丝出模直径比较稳定。

Drama also won the best crew, best director, best supporting actress awards, such as heavyweight.

剧集还包揽了最佳剧组、最佳导演、最佳女配角等重量级奖项。

"Be the best...not second best or third, but be the best at what you choose to do..."

"是最好的。。。没有第二个或第三个最好的，但最好在你选择这么做。。。"

But this is impossible, as long as it is engaging in a market economy, there are risks in any operation.

但是，这是不可能的，只要是搞市场经济，是有风险的任何行动。

We're on the same wavelength.

我们是同道中人。