查询词典 geometric average

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。

The existing points and lines would form a closed geometric shape. If we put the new point Z outside the closed geometric shape at first and later then found that the point Z has neighboring relationship with the existing point A which is inside the closed geometric shape, we could not link point Z and A directly because that would bring line crossing. If we rearrange the point Z into the closed geometric shape, that also would cause a lot of work to do. With the help of Exclave, all problems could be solved easily. We use point X outside the closed geometric shape as the Exclave of the point A. Then the line between point Z and X could demonstrate the neighboring relationship of the point Z and A.

原有的各点和相邻线段往往会形成一个封闭的几何图形，如果我们把新增点 Z 设在原有的封闭几何图形外部，后来又发现该点 Z 和位于封闭几何图形内部的点 A 存在相邻关系，这时不能直接将两点连接因为那将产生交叉，而如果将点 Z 重新设在封闭图形内部也将导致大量的调整工作；此时借助外飞地的概念，可以轻松地解决上述问题，即在封闭几何图形外部设置点 X 作为点 A 的外飞地，两点使用同样的颜色，用点 Z 和点 X 的相邻线段表示点 Z 和点 A 之间的相邻关系。

Automated geometric theorem proving, as a byproduct of the completion of geometric theorems, is further developed into automated quantitative description of geometric relations. The recovery of the geometric meaning of this quantitative description leads to a natural extension of the geometric theorem.

几何定理的机器证明作为几何定理完全化的副产品，被发展成几何定理的关系定量化，这种量化的几何还原就是几何定理的自然推广。

The scale-type geometric wear-resistant structure surface is characterized in being made up of a base and the bionic geometric units on the surface. The bionic geometric structure unit is a scale-type structure distributed regularly on the surface of the base, and the distribution density is that: the ratio between the geometric projection area of the scale-type structure on the base surface and the surface area of the base formed by all the edge ends is 50-100%; the scale-type geometric structure unit has a symmetric hexagon shape on the surface; the sides L2/L1=1.0-2.0, L1: 1mm-50mm, and the internal angle Alpha is 120 degree -130 degree, the internal angle Beta is 100 degree -110 degree; the A-A section is subtriangular, and the B-B section is a trapezoid, the height H of the scale-type is 1-5mm.

本发明由基体和其表面上的仿生几何结构单元组成，仿生几何结构单元为在基体表面规律分布的鳞片型结构，鳞片型的分布密度为：其在基体表面上的几何投影面积之和与所有棱端围成的基体表面积之比为50-100％，鳞片型几何结构单元的表面形状为对称六边形结构：边长L2/L1＝1.0-2.0，L1：1mm-50mm，内角α为120°-130°，内角β为100°-110°，鳞片型的A-A截面为近似三角形，B-B截面为梯形，鳞片型的高度H为1-5mm。

Results showed that average lint yield of F1 was 1296.30 kg/hm^2, which was an increase by 214.38 kg/hm^2, compared with CK and its average competitive dominancy was 19.81%; Average lint yield of F2 was 1168.65 kg/hm^2, an increase by 86.73 kg/hm^2, compared with CK and its average competitive domain was 8.01%; Average lint yield of F3 was 1117.65 kg/hm^2, an increase by 35.73 kg/hm^2 compared with CK and its average competitive dominancy was 3.30%. F3 had the highest competitive dominancy, then F2 and F3 whose decreasing ratio is consistent with their competitive dominance, and their average yield decreasing ratios were 12.59% and 17.62%, respectively.

结果表明，F1平均皮棉总产量为1296.30 kg/hm^2，比对照泗棉3号增产214.38 kg/hm^2，平均竞争优势为19.81%；F2平均皮棉产量为1168.65 kg/hm^2，比对照增产86.73 kg/hm^2，平均竞争优势为8.01%；F3平均皮棉产量为1117.65 kg/hm^2，比对照增产35.73 kg/hm^2，平均竞争优势为3.30%。F1竞争优势最大，其次为F2，F3，F2，F3的衰退率与竞争优势一致，其平均优势衰退率分别下降了12.59%和17.62%。

In recent years,medial average has still not been introduced in Sports statistics,which is used as a textbook in institutes of P.E. On the basis of analyzing the nature of medial average ,the author proposes that medial average is commonly got using average rates in sports researches because of its features and laws. Since medial average is gained by reciprocal of its observation value,a quick method of arithmetical average might be medial average equals to...

对近年来未把调和均数列入体育院校《体育统计学》通用教材提出了不同的看法，认为根据体育运动的特点与规律，在体育科研中，利用速率计算均值的情况较多，由于调和均数是应用其变数值的倒数来计算算术平均数，所以在加权正确的情况下，调和均数与算术均数计算结果相等，是算术均数的简捷计算方法，应该向学生介绍调和均数并列入教材。

The average percentage of polymorphic bands are 72.06% for ISSR and 66.67% for RAPD respectively. The genetic diversity of ginkgo revealed by ISSR (the average effective number of alleles is 1.8780, the average Nei"s gene diversity is 0.4652, and the average Shannon"s information index is 0.6574) are all higher than those by RAPD (the average effective number of alleles is 1.7842, the average Nei"s gene diversity is 0.4317, and the average Shannon"s information index is 0.6211), while the standard errors of the parameters estimated by ISSR were lower. Therefore, ISSR molecular markers are more suited than RAPD molecular markers when testing the genetic diversity of ginkgo populations and determining the genetic relationship of among populations or among individuals which are much similar hereditarily.

本文应用RAPD和ISSR两种分子标记技术，选取中国5个可能的野生银杏居群共计75个样品，对其遗传多样性进行了研究，得出以下结论：(1)用筛选出的12个RAPD引物和10个ISSR引物进行PCR扩增，分别扩增出65条和68条重复性高、清晰的条带，多态性位点百分率分别66.67%和72.06%，ISSR揭示的银杏遗传多样性(平均有效等位基因数目为1.8780，平均基因多样度为0.4652，平均信息指数为0.6574)高于RAPD所得到的结果(平均有效等位基因数目为1.7842，平均基因多样度为0.4317，平均信息指数为0.6211)，其所估算参数的标准差要低于RAPD所估算出的值，因此，在研究亲缘关系非常近的银杏物种的遗传多样性并试图确定居群间或个体间的遗传关系时，ISSR分子标记技术比RAPD分子标记技术更为合适。

Of 12 tomato lines, the analysis on the 4 fruit nourishment quality traits (the contents of vitamin C, total soluble solids and dry matter and ratio of sugar-acid ) was carried out to study the four kinds of disparities, which included the interspecific one, the one between two varieties in the same species , the one between the lines bred by different means in the same variety ,and the one between the different fruit-shaped lines in the same variety .The analytic method of orthogonal comparison of single degree of freedom was applied. The results showed that the line of Lycopersicum pimpinellifolium was better than the average of the lines of L.esculentum in the 4 traits at significant level of 1%, the average of the lines of var.cerasiforme was better than the average of the lines of var.vulgare in the 4 traits at significant level of 5% or 1%,and the two space mutation line(YH02-2 or YH02-6) was better than the average of the other lines of the same variation in the 4 trait, respectively, at significant level of 1%. Of the lines of var.cerasiforme , the lines with pear fruit were lower than the average of the lines with round-shaped or plum-shaped fruits in the 2traits(the contents of vitamin C and total soluble solids), at significant level of 1%,the lines with plum-shaped fruits were higher than the average of the lines with round-shaped fruits, at significant level of 1%,and the lines with yellow-colored fruits(YH02-11) was lower than the average of the lines with red-colored fruits(YH02-1and YH02-7) in the trait of the contents of vitamin C.

对12个品系进行种间、种内变种间、变种内不同选育方式间、变种内不同果实形状间在果实营养品质（果实维生素C含量、可溶性固形物含量、干物质含量和糖酸比）上的差异进行分析，采用统计学上单一自由度正交比较分析法与植物学分类相结合的方法进行分析，结果表明：醋栗番茄种品系YH02-12在4个营养品质性状上，极显著高于普通番茄种品系；樱桃番茄变种品系在4个营养品质性状上的平均水平极显著或显著高于普通番茄变种品系的平均水平；2个空间诱变品系YH02-2、YH02-6在4个营养品质性状上均极显著高于同变种的其他品系的平均水平；樱桃番茄变种品系中，梨形果品系YH02-5、YH02-8的果实维生素C、可溶性固形物含量均极显著地低于樱桃番茄变种中圆形或李形品系的平均水平，李形果品系YH02-9在4个营养品质性状上均极显著地高于圆形果品系的平均水平，黄色圆形果品系YH02-11的果实维生素C偏低于红色圆形果品系YH02-1和YH02-7。

The main production performancls of Guide black fur type sheep were determined.The results were as follows:①The average body weight,the average wool yield and the average staple length of adult ram and ewe were 49.65 and 39.96kg,1.75 and 1.45kg,26.65 and 24.15cm,respectively.②The average birth weight,the average daily gain and the average weight at the age of four months of ram lamb and ewe lamb were 2.87 and 2.89kg,0.12 and 0.12kg,12.95 and 10.43kg,respectively.③The average leather area of small lamb skin ...

作者对贵德黑裘皮羊主要生产性能进行了测定，结果：成年公、母羊体重、产毛量、毛辫长度分别平均为49.65、39.96 kg、1.75、1.45 kg和26.65、24.15 cm；羔羊初生重、羔羊日增重、4月龄羔羊断奶重公、母羔分别平均为2.87，2.89kg，0.12，0.12kg和12.95，10.43kg；小羔皮皮板面积平均为642.13cm〔2〕，卷花形状：环形、半环形、波浪形、无花形分别占29.0，51.4，18.6，1.0%，与20年前相比，除产毛量外，其它主要形状有明显的下降趋势。

conformal geometric algebra is a kind of new geometric representation and geometric computation tool, and it has properties of geometric intuitiveness, compactness, high efficiency, unification and elegance.

摘 要：共形几何代数是一种新的几何表示和几何计算工具，它具有直观、简洁、高效、统一、雅致等特性。

Chinese traditional virtue is humility and wariness,the compliment and praise to the others should be declination

中国人的传统美德是谦虚谨慎，对别人的恭维和夸奖应是推辞。如

We bought this house on the never-never.

我们以分期付款的方式买下这座房子。