Fermat大定理的初等证明

本文用＂看整数的个位数＂的方法证明Fermat大定理.     

闽中沿海雷暴初终日变化特征分析

本文应用福建省莆田、仙游、福清和崇武四站1960-2012年地面气象观测资料,统计了福建中部沿海雷暴初终日的气候变化特征,结果表明福建中部沿海初雷有明显的旬月际、年际和年代际分布,初雷最多出现在3月中旬。近50年莆田、仙游和崇武初雷经历了上个世纪60至70年代末的偏晚期和80年代至本世纪初的偏早期,近6年来出现了向偏晚期转换的趋势。终雷日期有明显的候分布,主要集中在9月1候、9月5候和10月1候,终雷的3个集中时期与西太平洋副高的第一次回跳、秋分及副高第二次回跳时间相对应。     

Variations of alkenone temperature in the Sea of Japan during the last 170 ka and its paleoceanographic implications

Two sediment cores, KCES1 and ODP797, which were recovered from the Sea of Japan （JS）, were measured for alkenone-derived sea surface temperatures （U37-SSTs）. Our results revealed that the SSTs closely follow the glacial-interglacial cycles during the last 170 ka, except in the last glacial maximum （LGM）, during which the SST was higher than in the Holocene. The anomalous high temperature in the LGM is considered as an effect of the intrusion of a low salinity water mass into the JS when the sea level was almost below 130 m. On the glacial- K interglacial to orbital timescale, the U37-SSTs record in the JS correlated well with the benthic foraminiferal SO record and solar insolation, which suggests the dominant control of solar insolation and its related sea ice develop- ment on the SST in the JS. On the sub-orbital/millennial timescale, reduced SST corresponds to an enhanced east asian winter monsoon （EAWM） during the last glacial period （MIS3 and MIS4）, indicating the dominant control of sea ice expansion due to the enhanced EAWM on the SST in the JS. In contrast, during the last interglacial period （MIS5）, the SST in the JS was controlled by variations in the east Asian summer monsoon. These results highlight the key role of solar insolation and associated glacial-interglacial conditions in the variations of the SST in the JS since the last 170 ka.     

辽南地区末次冰期以来的环境变化

本文通过对大连七顶山黄土剖面的光释光(OSL)年代、磁化率、地球化学元素、粒度特征等数据,综合分析辽南地区末次冰期以来的环境变化过程,研究结果显示:相当于黄土高原马兰黄土的堆积形成时代为距今125ka。在末次冰期早期(MIS4-5d),86-113ka,沉积物质量磁化率介于6.97-24.14×10-8m3kg-1之间,平均值为14.699×10-8m3kg-1;颗粒粒径较细(3.89-5.22准);硅铝率平均值6.756;风化淋溶系数0.4-0.73之间;退碱系数均值0.333;镁铝比均值22.901。与末次冰期晚期相比,质量磁化率值较高,化学元素各项指标值较低,明了该阶段辽南整体气候环境较为干冷,但并未达到末次冰期晚期程度。而在末次冰盛期时(22-31ka,MIS2),磁化率平均值为6.974×10-8m3kg-1,明显低于末次冰期早期,粒度均值处于3.47准-4.77准之间,主要以颗粒较粗的细砂、粗粉砂为主,粒度明显变粗,硅铝率平均为6.998;风化淋溶系数均值为0.829,退碱系数值0.66,镁铝比值均值28.725,各参数比较一致地表明该阶段研究区整体处于干冷的气候环境之下,堆积作用较活跃。而在末次冰期中期(MIS3)时,OSL年代31-86ka,该区气候条件以温暖湿润为主,黄土遭到侵蚀。     

Fermat大定理的证明

本文应用Faltings定理与超椭圆曲线亏格定理,证明了Fermat大定理.     

重庆梁天湾14号石笋沉积特征与同位素年龄

对采自重庆金佛山梁天湾洞穴的一根长290mm的14号石笋进行了高精度的定年和稳定同位素分析．在此基础上，对石笋的沉积结构、层面构造、沉积间断等特征标志进行了研究，阐述了重庆梁天湾涧石笋的沉积特征以及洞穴占滴水的动态变化．TIMS-U系测年结果表明：该石笋形成于31．9KaB．P．，结束于15．21Ka B．P．，属于末次冰期晚期的产物．石笋的沉积基本连续。没有明显的沉积间断，共分为4个旋回，沉积速率从老到新分别为65．22mm/Ka,8．37mm／Ka，97．09mm／Ka,24．39mm／Ka．     

费马大定理的类似形式

给出了费马大定理的 3种类似形式     

关于丢番图方程sum form k=0 to n((x-g~ak))~r=sum form k=1 to n((x+g~ak))~r

本文明了:设g=p_1p_2…p_n=10β+9型奇数,p_1,p_2……,p_3是不同素数,n,x,α,r为正整数,方程sum from k=0 to n(x-g~αk)~r=sum from k=1 to n(x+g~αk)~r仅有正整数解r=1,x=g~αn(n+1)和r=2,x=2g~αn(n+1)。     

掷标枪最后用力技术教学方法研究

本文采用文献资料、实际调查和教学实验对掷标枪最后用力技术的训练方法和最后用力技术中投掷臂的动作以及顺标枪纵轴用力技术教学方法进行研究。指出：在最后用力时,合理的用力顺序是取得最大出手速度的关键,身体左侧的支撑用力动作对于投掷成绩起着至关重要的作用。     

Climate instability during the last glaciation recorded in the Yuanbu loess section

Abrupt events within the Linxia Yuanbu loess section in the western Loess Plateau in China were investigated. The climatic proxy index of the content of mean grain-size and >4 μm grain-size fraction of the section was used as a climatic indicator, and a moving average method was applied in the statistical analysis to extract the abrupt events recorded in the section. It was found that the loess of the last glaciation recorded not only the abrupt events teleconnected with the high-latitude North Atlantic and Greenland regions but also as many as 15 abrupt events in addition to the Heinrich (H) and Younger Dryas (YD) events. This indicates that abrupt climate changes were typical of the climate changes occurring in the Loess Plateau during the last glaciation. The widely recognized mechanisms of the abrupt climate changes, including the heat transfer theory of the North Atlantic Ocean, the atmospheric circulation theory, and the theory of the interaction between low-latitude ocean and the atmosphere remains to be discussed. Perhaps this problem could be resolved by revealing the relation between the evolution of the features of the East Asian monsoon climate and the climate in the surrounding areas. Through a detailed study of the features of the Heinrich and YD events, criteria on which the abrupt events recorded in the loess could be distinguished were tentatively defined. The events were associated with a large grain size, high carbonate content, high lightness, low susceptibility, low redness and low yellowness. In addition, the variation amplitude of the adjacent peak and valley on the curve of the content of the mean grain-size and >40 μm grain-size fraction was larger than 3.4 μm and the content of >40 μm grain-size fraction was larger than 2.0 μm. Lastly, the length of the variation time was less than 500 years. If all these criteria were met, the event was viewed as an abrupt event.