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     INDEX (1979~1984)
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In all these cases we actually show that Γ=π1(M) has a finite index subgroup which is mapped onto a nonabelian free group.
      
We show that there is a finite number ofG-orbits, and to each orbit we associate an integer, thus generalizing theMaslov index.
      
Symmetry properties and cocycle properties of the Maslov index are then easily obtained.
      
For the special case of his construction that gives groups of type E6, we connect the two papers by answering the question: Given an Albert algebra A and a separable quadratic field extension K, what is the index of the resulting algebraic group?
      
We show that several properties of the semisimple algebras carry over to a certain family of parabolic subalgebras of maximal index in sln.
      
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A newly developed synthesis of X-ray data for crystal analysis, called the point diagram synthesis, is compared with the classical Fouriers. The fundamental assumption in the method s first explained. A correlation matrix of index 10 is then quoted. Some mathematical properties of the correlation matrices, that is, the absolute convergence, and the h and μ-summation rules are described and illustrated. The method is next applied in parallel with the Fouriers to an arbitrary structure along with its two...

A newly developed synthesis of X-ray data for crystal analysis, called the point diagram synthesis, is compared with the classical Fouriers. The fundamental assumption in the method s first explained. A correlation matrix of index 10 is then quoted. Some mathematical properties of the correlation matrices, that is, the absolute convergence, and the h and μ-summation rules are described and illustrated. The method is next applied in parallel with the Fouriers to an arbitrary structure along with its two component structures. The crystal NaCl is next studied, using the actual experimental data. It is shown that on the basis of exactly the same experimental data the inormation given by the two types of syntheses are entirely different. Conclusions about the method drawn in the previous articles are then discussed in the light of the new studies and approved once more.

作者曾在英国自然界发表渠所建立之棋式X光综合新法之大意。一时引起欧美同行兴趣及讨论。其中有表兴趣者,有对此新法是否比通用之符礼式综合法更为有用致疑。本文即将新旧二法应用於自然及理想晶体。比较其结果之优劣。此外并对新法之三种数学特性加以介绍。

1. A simple method is presented for determining double bond index of pure unsaturated hydrocarbons, petroleum fractions and other hydrocarbon mixtures based on a correlation of observed refractive index, calculated refrac-tive index, molecular weight and the number of double bonds per molecule. The data neccessary are: (a) mid-boiling point, (b) refractive index at 20℃ for sodium D line, (c) density at 20℃ and (d) weight percent hydrogen of the

依据在20℃钠D线折光率实测值,在20℃钠D线折光率计算值,分子量及每一分子内所含双键数间之相互关系,推衍得一简易方法,用以测定纯不饱和烃及石油分馏油份之双键率(Double Bond Index).所需由实验测得之数据为试料之(甲)在20℃钠D线折光率,(乙)在20℃时之密度,(丙)中间沸点(Mid-boiling point),及(丁)含氢重量百分数.用本法测得双键率值,与用尼蒲金(Lipkin),圣金(Sankin)及马丁(Martin)三氏法测得双键率值适相吻合.因此,用本法所测得之双键率,足资用以鉴定石油分馏油份内所含芳香族烃及烯(?)烃之主要型式.惟需指明者,即在依据本法测得之双键率,用以鉴定石油分馏油份内所含不饱和烃之主要型式时,必须测定由石油分馏油份内提出仅含不饱和烃浓缩物之双键率.

In the summer half year,the average intensity of the Pacific high pressurechanges more or less abruptly.It strongly increaseses from June to July and de-creases gradually from April to June.In middle September it decreasees suddenly. In.the summer season(from June to August),tha advance and retreat of theWestern Pacific pressure ridge(moving from east to west or reversed)is intimatelycorrelated with teh upper westerlies.At the same time,the Pacific High itselfis an important factor of the atmospheric circulation.When...

In the summer half year,the average intensity of the Pacific high pressurechanges more or less abruptly.It strongly increaseses from June to July and de-creases gradually from April to June.In middle September it decreasees suddenly. In.the summer season(from June to August),tha advance and retreat of theWestern Pacific pressure ridge(moving from east to west or reversed)is intimatelycorrelated with teh upper westerlies.At the same time,the Pacific High itselfis an important factor of the atmospheric circulation.When the zonal circulationis strong,the intensity of the Pacific High is also relatively strong and the posi-tion of the western Pacific pressure ridge changes little.When the small wavesin the westerlies move out from Asia into the Pacific Ocean,the position ofthe western Pacific pressure ridge only vibrates slightly.But,when the waves in thewesternlies are strong,the western Pacific pressure ridge advances westward andthen retreats eastward apparently.The period advance and retreat of the ridgeis about five or six days During the period of fow zonal circulation index, thewestern Pacific pressure ridge moves eastward.when the circulation index growsfrom low to high,the ridge advances westward.The range of longitudes ofoscillation of the ridge in this type is largest,about 30-40 degrees,and the periodof oscillation is longest,about half month in general.The longest period reachesone month. Besides,the movement of the Pacific High ridge is also studied in relationto he tropical systems,such as typhoons.

夏半年太平洋高压的平均变化,带著突变性质的增强和减弱,突然的增强发生6月到7月,而4月至6月更有逐渐减弱的趋向,到9月中旬以後则突然的减退。 夏季西太平洋高压脊的东西进退和整个西风环流变化及西风环流的情况密切关连,同时太平洋高压本身也是西风环流及其变化的重要因素之一。当西风环流强时,太平洋高压比较强大,这时太平洋高压脊的变化很少,在西风环流小波动东移的过程中,太平洋高压脊只有微小的摆动。但西风带波动较大时,随着西风槽和高压脊的东移,太平洋高压脊便有了比较长时期的和明显的东退和西伸,它的周期一般都在5、6天左右。如果西风环流起了大型的变化,即西风环流由强转弱,再由弱转强,太平洋高压脊随之不断的东退和西伸,进退的范围可达30-40经距。它的周期较长,一般都在半个月的光景,最长的可达一个月,10天以内的很少。 太平洋高压脊除了和西风带的环流,极地高压和低压槽有关外,也和它南边的气压系统,如台风和热带风暴有关。

 
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