Mean Motions in Ptolemy’s <Emphasis Type="Italic">Planetary Hypotheses</Emphasis>

In the Planetary Hypotheses, Ptolemy summarizes the planetary models that he discusses in great detail in the Almagest, but he changes the mean motions to account for more prolonged comparison of observations. He gives the mean motions in two different forms: first, in terms of ‘simple, unmixed’ periods and next, in terms of ‘particular, complex’ periods, which are approximations to linear combinations of the simple periods. As a consequence, all of the epoch values for the Moon and the planets are different at era Philip. This is in part a consequence of the changes in the mean motions and in part due to changes in Ptolemy’s time in the anomaly, but not the longitude or latitude, of the Moon, the mean longitude of Saturn and Jupiter, but not Mars, and the anomaly of Venus and Mercury, the former a large change, the latter a small one. The pattern of parameter changes we see suggests that the analyses that yielded the Planetary Hypotheses parameters were not the elegant trio analyses of the Almagest but some sort of serial determinations of the parameters based on sequences of independent observations.     

Letters from William Burnside to Robert Fricke: automorphic functions,and the emergence of the Burnside Problem

Two letters from William Burnside have recently been found in the Nachlass of Robert Fricke that contain instances of the Burnside Problem prior to its first publication. We present these letters as a whole to the public for the first time. We draw a picture of these two mathematicians and describe their activities leading to their correspondence. We thus gain an insight into their respective motivations, reactions, and attitudes, which may sharpen the current understanding of professional and social interactions of the mathematical community at the turn of the twentieth century. Dedicated to Heiko Harborth on the occasion of his seventieth birthday.     

应用加权无波动无自由参数耗散差分格式求解平板振荡叶栅流场

引入双时间方法,计算了某三维平板振荡叶栅的非定常流场.在虚拟时间步上用LU-SGS隐式方法做时间推进,对流项采用空间三阶的加权无波动无自由参数耗散差分(WNND)格式离散.湍流模型采用低雷诺数q-ω模型.计算得到了叶栅不同叶高处的升力系数频谱、非定常压差系数以及叶尖处不同振动时刻的熵等值线.对3个叶高处的升力系数频谱分析表明,流场存在显著的振动诱发的非线性扰动,其频率高于升力系数基频.叶尖处不同振动时刻的熵等值线图显示了大振幅下流场强烈的非定常属性.     

3-(4-硝基苯基)氨基-1H-吲哚-4(5H)-酮的简便合成及结构表征

以对甲氧基乙二醛一水合物、3-苯氨基-5,5-二甲基-2-环己烯-1-酮和4-硝基苯胺为原料,对甲苯磺酸为催化剂,在乙醇溶剂中,微波辐射下多组分一步法合成标题化合物C29H27N3O4.其结构通过单晶X射线衍射法确定,晶体属三斜晶系,空间群P1,Mr=481.54,晶胞参数:a=0.617 80(5)nm,b=1.291 04(11)nm,c=1.606 78(13)nm,V=1.237 45(18)nm3,Z=2,Dc=1.292 Mg·m-3,μ=0.087mm-1,F(000)=508.晶体结构用直接法解出,经全矩阵最小二乘法对原子参数进行修正,最终的偏离因子R=0.059 3,Rw=0.134 8.在晶体结构中新形成的吡咯环为芳构化的共平面结构.     

Deep cleaning of a metallurgical zinc leaching residue and recovery of valuable metals

Huge quantities of zinc leaching residues (ZLRs) generated from zinc production are dumped continuously around the world and pose a potential environmental threat because of their considerable amounts of entrained heavy metals (mainly lead). Most ZLRs have not been properly treated and the valuable metals in them have not yet been effectively recovered. Herein, the deep cleaning of a ZLR and recovery of valuable metals via a hydrometallurgical route were investigated. The cleaning process consists of two essential stages:acid leaching followed by calcium chloride leaching. The optimum conditions for extracting zinc, copper, and indium by acid leaching were a sulfuric acid concentration of 200 g·L-1, a liquid/solid ratio of 4:1 (mL/g), a leaching time of 2 h, and a temperature of 90℃. For lead and silver extractions, the optimum conditions were a calcium chloride concentration of 400 g·L-1, a pH value of 1.0, a leaching time of 1 h, and a temperature of 30℃. After calcium chloride leaching, silver and lead were extracted out and the lead was finally recovered as electrolytic lead by electrowinning. The anglesite phase, which poses the greatest potential environmental hazard, was removed from the ZLR after deep cleaning, thus reducing the cost of environmental management of ZLRs. The treatment of chlorine and spent electrolyte generated in the process was discussed.     

Paleocurrent analysis on the basal conglomerate of the model Changzhougou formation in Qian’an

The paleoflow direction of the basal conglomerate of the Changzhougou formation is obtained by the paleocurrent analysis of certain sedimentary structures, and the ancient sedimentary environment of the Qian'an Region is determined by observing the psephicity and gradation of gravel in conglomerate. The results show that the paleoflow direction is from northwest to southwest, and the paleocurrent data manifest a single-peak style in a rose diagram. The average paleoflow direction in the Qian'an region is 265°. The basal conglomerate is of littoral facies, and the sediments of conglomerates are mainly sourced from Shanhaiguan.     

Development of liquid-nitrogen-cooling friction stir spot welding for AZ31 magnesium alloy joints

A liquid-nitrogen-cooling friction stir spot welding (C-FSSW) technology was developed for welding AZ31 magnesium alloy sheets. The liquid-nitrogen cooling degraded the deformability of the welded materials such that the width of interfacial cracks increased with increasing cooling time. The grain size of the stirred zone (SZ) and the heat-affected zone (HAZ) of the C-FSSW-welded joints decreased, whereas that of the thermomechanically affected zone (TMAZ) increased with increasing cooling time. The maximum tensile shear load of the C-FSSW-welded joints welded with a cooling time of 5 or 7 s was larger than that of the friction stir spot welding (FSSW)-welded joint, and the tensile shear load decreased with increasing cooling time. The microhardness of the C-FSSW-welded joints was greater than that of the FSSW-welded joint. Moreover, the microhardness of the SZ and the HAZ of the C-FSSW-welded joints increased, whereas that of the TMAZ decreased, with increasing cooling time.     

Studies on induction hardening of powder-metallurgy-processed Fe-Cr/Mo alloys

Induction hardening of dense Fe-Cr/Mo alloys processed via the powder-metallurgy route was studied. The Fe-3Cr-0.5Mo, Fe-1.5Cr-0.2Mo, and Fe-0.85Mo pre-alloyed powders were mixed with 0.4wt%, 0.6wt%, and 0.8wt% C and compacted at 500, 600, and 700 MPa, respectively. The compacts were sintered at 1473 K for 1 h and then cooled at 6 K/min. Ferrite with pearlite was mostly observed in the sintered alloys with 0.4wt% C, whereas a carbide network was also present in the alloys with 0.8wt% C. Graphite at prior particle boundaries led to deterioration of the mechanical properties of alloys with 0.8wt% C, whereas no significant induction hardening was achieved in alloys with 0.4wt% C. Among the investigated samples, alloys with 0.6wt% C exhibited the highest strength and ductility and were found to be suitable for induction hardening. The hardening was carried out at a frequency of 2.0 kHz for 2-3 s. A case depth of 2.5 mm was achieved while maintaining the bulk (interior) hardness of approximately HV 230. A martensitic structure was observed on the outer periphery of the samples. The hardness varied from HV 600 to HV 375 from the sample surface to the interior of the case hardened region. The best combination of properties and hardening depth was achieved in case of the Fe-1.5Cr-0.2Mo alloy with 0.6wt% C.     

柏拉图对诗中英雄形象的尽善尽美为何行不通——以革命样板戏中“高大全”式英雄形象的失败为参照

出于建设理想国度、教化公民的政治目的,柏拉图在《理想国》卷二至卷三中,对诗中的英雄形象提出了尽善尽美的要求。柏拉图心目中的完美英雄形象与新中国革命样板戏中的"高大全"式英雄形象有着许多相似处,后者在文艺史中的失败,虽然间接却十分充分地说明柏拉图对诗中英雄形象的尽善尽美要求行不通。柏拉图对"理想国"中的公民缺乏信心,担心公民会受不好的文艺、教育影响,因此他强调诗人的教化职责,要求诗中的英雄形象必须尽善尽美。     

全数字光纤传感测试系统的设计

为克服传统光纤传感测试系统器件分散性大、过程复杂等局限性，结合红外光电传感及物联网技术，设计了全数字光纤传感测试系统。该系统以MCU( Micro Control Unit) 为主控单元，采用红外接近传感器作为IＲLED( Infrared Light Emitting Diode) 驱动以及光电转换输出单元，ＲTC ( Ｒeal-Time Clock) 芯片及EEPＲOM( Electrically-Erasable Programmable Ｒead-Only Memory) 进行时间读取及光电数据的实时存储，WiFi ( Wireless Fidelity) 模块实现光电数据的网传、按键及LCD( Liquid Crystal Display) 显示单元完成人机交互等功能。实验结果表明，该系统可用于特殊环境下的非接触物体检测与颜色识别等场合，为进一步实现光纤传感测试系统的小型化及智能化提供了一种可行性方案。