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4Based on a fact that the price formula of Asian options can be transformed into that of vanilla European option when the time to maturity is less than or equal to the length of average, we skillfully obtain the analytical price formula for the option on the minimum or the maximum of two geometric average prices and generalize it to obtain the price formula of several average prices for the first time. We also apply the method of [121], which approximates the arithmetic average by the geometric average, to the pricing of opitons on the minimum or the maximum of two arithmetic average prices to obtain Its approximated price formula. Numerical results show that the approximated price is relatively accurate when the riskless interest rate is large or the option is in the money and the volatility of two underlying assets are high and its accuracy is a little reduced but still good when the dividends are considered. However, it is hardly affected by the sampling number.

我们基于观察到的一个事实即当离到期时间小于或等于平均期间时亚洲期权的价格可变换成普通的欧式期权的价格，从而巧妙地得到了两个几何平均价格的最小或最大值期权价格的解析公式，通过简单地推广，首次得到了多个几何平均时的价格公式；将[121]用于算术平均亚洲期权的定价方法推广到两个算术平均价格的最小或最大值期权，从而得到它的渐进公式，数值结果表明：渐进价格的准确性在无风险利率较大或期权为实值且两标的资产的波动率较小时较好，抽样的个数对它没有影响，但考虑红利时它稍有下降但仍较好。

Trials have shown it can halve the number of people who return to smoking after trying to give up.

试验表明，它能减少一半试图戒烟的人重新吸烟。

Hard-up families can also apply for food stamps, which are relatively easy to claim. The number of Americans receiving them has risen sharply, from 24.9m in September 2007 to 33.2m in March this year.

手头拮据的家庭还可以相对较容易的申请到食品劵，得到这一项补贴的美国人口增长迅猛，从2007年9月的247万人增加到今年3月的332万人。

And he is to sell to you on the basis of the number of years left for harvesting crops.

他也要按年数的收成、卖给你。

If we can speak english well,we will have more chance to succeed.because more and more people have taken notice of it,the number of the people who go to learn english has increased at a high speed.

如果我们能说好英语，我们就有更多的机会成功。因为越来越多的人注意到这一点，学英语的人数正在已很高的速度增长。

Amount in total to a room of one's own over the two weeks English—speaking country — come out come along have sth. to do with…… make up growing closer the will of the majority communicate with the outside with the help of international exchange programme a Beijing native replace…with……… compare… with …… help sb. with sth all around the world more than a second language global culture popular music become more and more take off turn down have a good flight an equal number of people at all develop into working language without being able to do on the radio/TV/telephone as well as know about at first Got it act out in this situation speakers of English both … and most of the time reasons for the reason is that… differences between…and… on the left hurry up forget to do/doing What do you mean by…?

a language spoken in the world 总计达到…某人自己的房间经过两个星期的时间说英语的国家开花，出来，出版过来……与……有关系发明，构成，组成越来越接近大多数人的意愿与外界交流在…的帮助下国际交流项目一个地道的北京人以…取代，替换把…和…比较帮某人做某事世界各地不过，不仅仅第二语言全球文化流行音乐变得越来越脱，起飞，事业起步关小飞行愉快同等数量的人根本，全然发展成为工作语言没有能够做…从收音机/电视/电话里和，不但…而且…得知，了解起初，一开始知道了表演在这种情形下说英语的人…和…大部分时间…的理由原因是……和…之间的差异在左边快点忘记要做的事/已做的事…是什么意思？

The number of participants — ranging from legions of helmeted jet pilots to policewomen in white go-go boots to students waving colored placards — will be the largest ever.

此次参与阅兵的人数也是史上最多的——从头戴钢盔的飞行员，到脚踩白靴的女警察，再到挥着彩旗的学生。

This is a strange vision魔宫outside in addition to the number one Hemosiderosis TeleEye devil, you do not find it, it found you, and very high attack power, it is playing a straight line of attack is not recommended and it is therefore a straight line of confrontation.

此怪的视力绝对是魔宫里除了铁血魔王以外的头号千里眼，没等你发现它，它就发现你了，而且攻击力很高，它的攻击是打直线所以建议不要和它直线对抗。

I companies to manufacturers B version of DVD films, high-compression DVD9 films, high-compression DVD9 TV series, directly facing the various audio and video wholesalers, retailers, can be less to the middle level, two or even three Wholesalers, the wholesalers, retailers have greater competitiveness, but also directly to the customer's request to a number of brand goods manufacturers, to a meagre profits for wholesalers and retailers, please interested in my message to a friend Or give me a phone.

我公司以厂家生产B版DVD电影片，高压缩DVD9电影片，高压缩DVD9电视连续剧，直接面向全国各大小音像批发商、零售商，可以少去中间的一级，二级，甚至三级批发商，使各批发商、零售商有更大的竞争力，同时可以按客户要求直接向一些品牌厂家要货，以微薄利润为各批发商和零售商服务，请有兴趣的朋友给我留言或给我打手机。

I am a hiker and a daily walker and it is important to me to know how far I've hiked walked as well as the number of aerobic steps in a given amount of time .

我是一名行山及每日Walker和这是很重要的，我知道如何到目前为止，我已经调高/走到以及有多少有氧步骤，在一个特定的大量时间。

Recall that, in the Kolmogorov axiomatization, measurable sets are the sets which have a probability or, in other words, the sets corresponding to yes/no questions that have a probabilistic answer.

延期开工的Kolmogorov宣布要衡量所有套职能有限许多坐标限制在于衡量子寅。换句话说，如果是/否的问题回答f可看的价值观念在许多最有限坐标，然后它有一个概率的答案。

The experimental results showed that the algorithm can filter singular points and remain fixity of the target edge.

实验表明：基于模糊理论的图像智能滤波方法比常规图像滤波方法运算量小，它既能去除奇异点，又能保持图像中目标的边缘不变性，具有很好的滤波效果。