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As a corollary we obtain that the moduli space of rank 3 and degree 0 bundles on a smooth projective curve of genusg is C-M.
      
Lower degree bounds for modular invariants and a question of I.
      
In particular, we prove an integral formula for the degree of an ample divisor on a variety of complexity 1, and apply this formula to computing the degree of a closed 3-dimensional orbit in any SL2-module.
      
Given integers n,d,e with $1 \leqslant e >amp;lt; \frac{d}{2},$ let $X \subseteq {\Bbb P}^{\binom{d+n}{d}-1}$ denote the locus of degree d hypersurfaces in ${\Bbb P}^n$ which are supported on two hyperplanes with multiplicities d-e and e.
      
This paper studies intersection theory on the compactified moduli space ${\mbox{$\cal M$}} (n,d)$ of holomorphic bundles of rank n and degree d over a fixed compact Riemann surface $\Sigma$ of genus $g \geq 2$ where n and d may have common factors.
      
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In this paper the logical structure of contactless telemechanical system for distributed objects is discussed. A simple method of variable system structure for transmitting and receiving telemechanical information is adopted. The idea is that the information oc-curred in every controlled point (station) and the information of some of those objects,which frequently change their states, are transmitted continually and cyclically, while for other objects their information is transmitted only after any change in...

In this paper the logical structure of contactless telemechanical system for distributed objects is discussed. A simple method of variable system structure for transmitting and receiving telemechanical information is adopted. The idea is that the information oc-curred in every controlled point (station) and the information of some of those objects,which frequently change their states, are transmitted continually and cyclically, while for other objects their information is transmitted only after any change in their states. Thus,the speed of operation will be increased, and also the error probability of system syn-chronization will be decreased. For the realization of the variable logical system struc-ture, several blocks are used repetitively. For example, two commutators and one sim-ple logical unit are used to construct a simple automatic sequential encoder, and at the same time, the two commutators are used also to operate as a matrix commutator for receiving telesignalling information etc. Therefore the system is comparatively simplified and attains a higher degree of "minimization".

本文研究了无触点集中-分散目标远动系统的逻辑结构.文中提出了采用简单的系统变结构来发送和接收信息的逻辑结构方式.对被控制点及一部分比较重要或变化比较频繁的被控制目标的信息,保留了循环传送,而对大部分变化比较慢的被控制目标则采用目标有变化时才传送信号的方式,这样就提高了系统的平均动作速度,同时也减小系统的失步概率.文中采用环节的复合利用及简化的逻辑单元线路来实现这种系统的逻辑结构.例如用两个分配器和一个简单的逻辑单元“和”线路组成了很简化的选点自动程序编码器,同时这两个分配器又复合利用兼组成目标信号接收矩阵式分配器等,因而可以使得这种系统同时又具有较高的极简化度.

In the statistical theory of superlattices in binary alloys, the dependence of the interaction energy upon atomic arrangements is taken into account by regarding the interaction energy in Bethe's theory as an average quantity depending on the degree of order and the composition of the alloy. Two simple assumptions concerning the functional relationship of the interaction energy with order and composition are made. The first is a linear function of order and composition. The second is a linear function...

In the statistical theory of superlattices in binary alloys, the dependence of the interaction energy upon atomic arrangements is taken into account by regarding the interaction energy in Bethe's theory as an average quantity depending on the degree of order and the composition of the alloy. Two simple assumptions concerning the functional relationship of the interaction energy with order and composition are made. The first is a linear function of order and composition. The second is a linear function of the average numbers of pairs of atoms. The result of applying these assumptions to superlattices of the type AB is that the critical temperature as a function of the composition is a maximum for equal sumber of A and B atoms only when a certain relation between the coefficients in the assumed function is satisfied. In the cass of superlattices of type AB3 the theory of Bragg and Williams is used for simplicity. It is shown that when the composition varies, the maximum of the critical temperature may occur at any desired composition by a suitables adjustment of the coefficients in the assumed functions. There is thus a hope of removing the discrepancy between theory and experiment on this line. The anomalous specific heat at the critical temperature is also calculated for different compositions. In the case of the AB type of superlattices, Bethe's formula for the energy is no longer valid, and in order to calculate the specific heat, an approximate formula for the energy is obtained by analogy with the theory of Bragg and Williams. Finally, the problem of separation into more than one phase is briefly discussed.

在二元合金超格之统计力学理论中,原子间互作用能量,因原子之排列不同而异,其所生之影响,吾人擬於此篇中讨论之。吾人认为有Bethe氏理论中之相互作用能量,实为一平均值,其值因合金之秩序程度及其成分而异。吾人作二简单假设:一设相互作用能量为秩序及成分之线性函数,另一设其与原子对偶之数成线性函数。将此等假设应用於AB类之合金,则必须在所设函数中之系数间,有适当关系,合金之临界温度,始在成分为1:1时,有极大值。在AB_3类之合金,吾人乃应用Bragg及Williams二氏之理论以求简便。於此可证明若所设函数中之系数,可任意调整则所计算出之临界温度之极大值可在任何成分发生。故关於此点理论与实验不合之处,可望解决。又合金之反常比热,亦经算出。在AB类之合金,Bethe氏原来之能量公式不復可用,故另用与Bragg及Williams理论比较而得之公式计算。又关於合金可分为二相或多相之问题,此篇亦大略论及。

A tank experiment to study the rainfall characteristics,degree of slope and kinds of crops in relation to erosion of the Szechuan purple brown soil was carried out on the experimental farm of the University of Nanking in Chengtu during the period from 1941 to 1945 inclusive.The text consists of the results,of four years only,that of the first year being used for reference.

本试验就成都南郊金陵大学农场利用箱具装置以求降雨,坡度及作物种类对于四川紫棕土冲蚀之关系,试验自1941年须始至1945年年底为止,本报告包括1942至1945年四年记录;最初一年记录仅供参考未列入计算。试验中之箱具係木制,长1.8公尺,宽0.35公尺,深0.33公尺,共四具,分别置于5%,10%,20%及30%之四种坡度上,内盛四川红色盆地中之一种紫棕色粘土。降雨之时,每廿小时测定雨量,逕流及土壤冲矢量各一次,试验中192及1943两年行播芝蔴代表茎葉稀疏之作物,1944及1945年密播大豆代表茎菜密茂之作物。四年结果中之要点如下:(i)本试验四年中成都年降水量总平均为959.9公厘,最少年为689.9公厘而最多年为489.8公厘,本试验芝蔴年度平均降水量为734.0公厘,而大豆年度平均降水量为1185.8公厘。(ii)成都降雨烈度可暂按廿四小时内雨量,分为0—3.9m.m.,4—7.9m.m.,8—11.9m.m.,12—23.9m.m.,24—17.9m.m.,4(?)—95.6m.m.,96—191.9m.m.,等七级,四年中廿四小时内最多雨量可自84.2公厘至183.2公厘不等,此项烈雨可降于六月初...

本试验就成都南郊金陵大学农场利用箱具装置以求降雨,坡度及作物种类对于四川紫棕土冲蚀之关系,试验自1941年须始至1945年年底为止,本报告包括1942至1945年四年记录;最初一年记录仅供参考未列入计算。试验中之箱具係木制,长1.8公尺,宽0.35公尺,深0.33公尺,共四具,分别置于5%,10%,20%及30%之四种坡度上,内盛四川红色盆地中之一种紫棕色粘土。降雨之时,每廿小时测定雨量,逕流及土壤冲矢量各一次,试验中192及1943两年行播芝蔴代表茎葉稀疏之作物,1944及1945年密播大豆代表茎菜密茂之作物。四年结果中之要点如下:(i)本试验四年中成都年降水量总平均为959.9公厘,最少年为689.9公厘而最多年为489.8公厘,本试验芝蔴年度平均降水量为734.0公厘,而大豆年度平均降水量为1185.8公厘。(ii)成都降雨烈度可暂按廿四小时内雨量,分为0—3.9m.m.,4—7.9m.m.,8—11.9m.m.,12—23.9m.m.,24—17.9m.m.,4(?)—95.6m.m.,96—191.9m.m.,等七级,四年中廿四小时内最多雨量可自84.2公厘至183.2公厘不等,此项烈雨可降于六月初至八月底之间,廿四小时内大于24公厘之雨日可自七日至十七日不等。(iii)芝蔴年度年降水量虽较大豆年度为低,但逕流占年雨量百分数,依坡度顺序,则前者各为16.95%,19.23%,25.71%及27.66%而后者各为3.96%,9.06%,9.63%及10.62%。(iv)四年中逕流量之实际数值,依坡度顺序,芝蔴年度各为129.11公厘,143.79公厘,193.54公厘及216.64公厘,而后者各为53.37公厘,120.59公厘,121.60公厘及135.07公厘。逕流逐月分布隨雨量分佈而变异,惟大豆作物有使逕流分佈百分数,向各月分散之趋势。又芝蔴年度七月份或八月份之逕流量可占年逕流量70%以上。(v)逕流之大部由于廿四小时内大于24公厘之雨量所发生,各坡度上大于24公厘之烈度等级中,在芝蔴年度,其分佈百分数之和幾全人於80%,而在大豆年度,其分佈百分数之和,自约38%至90%以上不等。芝蔴年度逕流量之实际数值较大豆年度为大,但逕流量隨坡度增加之比率则芝蔴年度较大豆年度为小。(vi)土壤冲失量之实际数值,依坡度顺序,芝蔴年度各为每市亩773.91市斤,832.5市斤,2004.93市斤及2822.62市斤,而大豆年度各为每市亩270.02市斤,370.50市斤,666.53市斤及762.95市斤,大豆年度中雨量特別丰沛之年,大豆护土力在大坡度上(坡度30%)更为显盖。(vii)芝蔴年度月雨量对于土壤冲矢量之影响大于对于逕流量之影响,月雨量增多,使同月土壤冲失量增加之百分数较使同月逕流量增加之百分数为大,大豆年度则反是。芝蔴年度土壤冲失量之实际数值较大豆年度为大,目土壤冲失量隨坡度增加之比率,芝蔴年度亦较大豆年度为大。(viii)据本试验情形,某一日之前五日内如降落巨雨,则该日急雨可发生甚大量之逕流及土壤冲失,芝蔴年度此种情形甚显,但大豆年度则不显。(ix)大豆作物之护土力,由于宽阔平向之叶面及密茂之莖叶可遮蔽地面以防雨滴之打击,而落叶护土亦可使地面流水澄清而维持土壤之渗漏速率,又麦稈覆盖地面之护土效力甚宏,如于大豆莖叶向未郁閉之前用之,可防初夏急雨之冲蚀。(X)自成都向南至仁寿县一带之紫棕土斤陵地,可行玉米与大豆等高行栽之间作制,惟大豆宜密植以收护土之效,若能于生长前期,地面覆盖麦稈,则土壤冲蚀之害可大减。

 
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