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The authors extend and improve some known results, and show that there are some errors in reference on inequalities for sequence rearrangement by examples.
      
The blank reference experiment shows that hydrothermal crystallization treatment favors the formation of hexagonal tungsten trioxide, and the tungsten trioxide powder sample prepared by this method has a high degree of crystallinity.
      
This paper provides a reference on calculating the binding-site number in proteins for ligands and studying their interactions by fluorescence spectroscopic methods.
      
The proposed algorithm can easily identify which sector the reference space vector falls in and conduct simple operations to find the duty cycle of each vector.
      
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The absorption wavemeter investigated consists of a single loop with a variable gap which is formed by a pair of parallel plates. A calibration formula for the meter was derived on the assumption that the stray capacity could be considered constant and the stray inductance negligible. This simple and useful formula was ex perimentally checked on four different meters, covering the range from about one-and-quarter meter to one-half meter. These melors were carefully constructed and accurately calibrated with...

The absorption wavemeter investigated consists of a single loop with a variable gap which is formed by a pair of parallel plates. A calibration formula for the meter was derived on the assumption that the stray capacity could be considered constant and the stray inductance negligible. This simple and useful formula was ex perimentally checked on four different meters, covering the range from about one-and-quarter meter to one-half meter. These melors were carefully constructed and accurately calibrated with reference to a quartz oscillator by the double-heating method through the use of an auxiliary oscillator of a continuous range of wave-lengths from six to ten meters.

在吸收式波长计之理论上,以其杂储电量为常数而略其杂磁感量,得一简便之公式虽在波长一公尺左右亦可用。所研究之吸收式波长计之构造,系一黄铜制成之单圈,用二黄铜片制成之一缝隙。其缝隙之宽度,可由一螺旋调节。此种波长计,曾 在国立中央研究院物理研究所制造室制造四具,可量波长一有四分之一公尺至半公尺亦曾在此研究所之实验室内,与水晶振荡器校准先制一振荡器,可在六至十公尺之间,发生无论任何波长之振荡。并将此振荡器与一水晶振荡器用拍谐法校准。再制一有四分之一公尺至半公尺之振荡器,与已与水晶校准之振荡器,再用拍谐法校准,而同时以所制之吸收式波长计量之其实验与理论所得之各结果极为符合。

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。

Fineness modulus (F. M.) has served as an index of fineness of aggregates since it was first introduced by Prof. Duff A. Abrams in 1918. In the concrete mix design, the F. M. of sand governs the sand content and hence the proportions of other ingredients. But there are undesirable features in F. M.: it does not represent the grading of sand and manifests no significant physical concept.Prof. suggested an "average diameter" (d_(cp)) in 1943 as a measure of fineness of sand. In 1944, d_(cp) was adopted in 2781-44...

Fineness modulus (F. M.) has served as an index of fineness of aggregates since it was first introduced by Prof. Duff A. Abrams in 1918. In the concrete mix design, the F. M. of sand governs the sand content and hence the proportions of other ingredients. But there are undesirable features in F. M.: it does not represent the grading of sand and manifests no significant physical concept.Prof. suggested an "average diameter" (d_(cp)) in 1943 as a measure of fineness of sand. In 1944, d_(cp) was adopted in 2781-44 as national standard to specify the fine aggregate for concrete in USSR. It was introduced to China in 1952 and soon becomes popular in all technical literatures concerning concrete aggregates and materials of construction.After careful and thorough investigation from ordinary and special gradings of sand, the equation of d_(cp) appears to be not so sound in principle and the value of d_(cp) computed from this equation is not applicable to engineering practice. The assumption that the initial average diameter (ν) of sand grains between consecutive seives is the arithmetical mean of the openings is not in best logic. The value of an average diameter computed from the total number of grains irrespective of their sizes will depend solely on the fines, because the fines are much more in number than the coarses. Grains in the two coarser grades (larger than 1.2 mm or retained on No. 16 seive) comprising about 2/5 of the whole lot are not duly represented and become null and void in d_(cp) equation. This is why the initiator neglected the last two terms of the equation in his own computation. Furthermore, the value of d_(cp) varies irregularly and even inversely while the sands are progressing from fine to coarse (see Fig. 4).As F. M. is still the only practical and yet the simplest index in controlling fineness of sand, this paper attempts to interpret it with a sound physical concept. By analyzing the F. M. equation (2a) in the form of Table 9, it is discovered that the coefficients (1, 2…6) of the separate fractions (the percentages retained between consecutive seives, a1, a2…a6) are not "size factors" as called by Prof. H. T. Gilkey (see p. 93, reference 4), but are "coarseness coefficients" which indicate the number of seives that each separate fraction can retain on them. The more seives the fraction can retain, the coarser is the fraction. So, it is logical to call it a "coarseness coefficient". The product of separate fraction by its corresponding coarseness coefficient will be the "separate coarseness modulus". The sum of all the separate coarseness moduli is the total "coarseness modulus" (M_c).Similarly, if we compute the total modulus from the coefficients based on number of seives that any fraction can pass instead of retain, we shall arrive at the true "fineness modulus" (M_f).By assuming the initial mean diameter (ν') of sand grains between consecutive seives to be the geometrical mean of the openings instead of the arithmetical mean, a "modular diameter" (d_m), measured in mm (or in micron) is derived as a function of M_c (or F. M.) and can be expressed by a rational formula in a very generalized form (see equation 12). This equation is very instructive and can be stated as a definition of mqdular diameter as following:"The modular diameter (d_m) is the product of the geometrical mean ((d_0×d_(-1))~(1/2) next below the finest seive of the series and the seive ratio (R_s) in power of modulus (M_c)." If we convert the exponential equation into a logarithmic equation with inch as unit, we get equation (11) which coincides with the equation for F. M. suggested by Prof. Abrams in 1918.Modular diameter can be solved graphically in the following way: (1) Draw an "equivalent modular curve" of two grades based on M_c (or F. M.) (see Fig. 6). (2) Along the ordinate between the two grades, find its intersecting point with the modular curve. (3) Read the log scale on the ordinate, thus get the value of the required d_m corresponding to M_c (see Fig. 5).As the modular diameter has a linear dimension with a defin

細度模數用為砂的粗細程度的指標,已有三十餘年的歷史;尤其是在混凝土的配合上,砂的細度模數如有變化,含砂率和加水量也要加以相應的調整,才能維持混凝土的稠度(以陷度代表)不變。但是細度模數有兩大缺點,一個是模數的物理意義不明,另一個是模數不能表示出砂的級配來。蘇聯斯克拉姆塔耶夫教授於1943年提出砂的平均粒徑(d_(cp))來,以為砂的細度指標;雖然平均粒徑仍不包含級配的意義,但是有了比較明確的物理意義,並且可以用毫米來度量,這是一種新的發展。不過砂的細度問題還不能由平均粒徑而得到解决,且平均粒徑計算式中的五項,僅首三項有效,1.2和2.5毫米以上的兩級粗砂在計算式中不生作用,以致影響了它的實用效果。本文對於平均粒徑計算式的創立方法加以追尋和推演,發現其基本假設及物理意義,又設例演算,以考察其變化的規律性;認為細度模數還有其一定的實用價值,不能為平均粒徑所代替。至於補救細度模數缺點的方法,本文試由模數本身中去尋找;將模數的計算式加以理論上的補充後,不但能分析出模數的物理意義,並且還發現模數有細度和粗度之別。根據累計篩餘計算出來的F.M.應稱為“粗度模數”,根據通過量計算出來的才是“細度模數”。假定兩隣篩间的顆粒是...

細度模數用為砂的粗細程度的指標,已有三十餘年的歷史;尤其是在混凝土的配合上,砂的細度模數如有變化,含砂率和加水量也要加以相應的調整,才能維持混凝土的稠度(以陷度代表)不變。但是細度模數有兩大缺點,一個是模數的物理意義不明,另一個是模數不能表示出砂的級配來。蘇聯斯克拉姆塔耶夫教授於1943年提出砂的平均粒徑(d_(cp))來,以為砂的細度指標;雖然平均粒徑仍不包含級配的意義,但是有了比較明確的物理意義,並且可以用毫米來度量,這是一種新的發展。不過砂的細度問題還不能由平均粒徑而得到解决,且平均粒徑計算式中的五項,僅首三項有效,1.2和2.5毫米以上的兩級粗砂在計算式中不生作用,以致影響了它的實用效果。本文對於平均粒徑計算式的創立方法加以追尋和推演,發現其基本假設及物理意義,又設例演算,以考察其變化的規律性;認為細度模數還有其一定的實用價值,不能為平均粒徑所代替。至於補救細度模數缺點的方法,本文試由模數本身中去尋找;將模數的計算式加以理論上的補充後,不但能分析出模數的物理意義,並且還發現模數有細度和粗度之別。根據累計篩餘計算出來的F.M.應稱為“粗度模數”,根據通過量計算出來的才是“細度模數”。假定兩隣篩间的顆粒是兩篩篩孔的幾何平均值,以代替數學平均值(即斯氏平均?

 
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