Fermat猜想的两个等价命题

对每个奇素数p,我们提出了关于p的两个命题:(I)不存在正整数m和n,使代数曲线f(y)=y~3-(2m+1)y-2n的三个零点同时为p方有理整数;(I)不存在正整数m,使不定方程x~2+3y~2=4(2m+1)具有三组正整数解x_i,y_i(i=1,2,3),满足x_1=x_2+x_3,x_1~2+x_2~2+x_3~2=6(2m+1)。本文旨在证明(I)及(I)都与关于素数p的Fermat猜想等价。     

Fault structures and their geoelectric parameters in the epicentral zone of the 27 September 2003 Chuya earthquake (Gorny Altai) from resistivity data

This paper presents an integrated measurement technique based on DC methods (vertical electrical sounding, electrical resistivity tomography) which was used to identify faults and determine their geoelectric parameters in the western part of the Chuya basin. New information on the structure of the Chagan River valley located in the zone of the disastrous 27 September 2003 Chuya earthquake has been obtained from the results of these methods. Geoelectric cross-sections of the sedimentary sequence and the upper part of the basement were obtained from VES data, showing the block structure of the study area. Electrical resistivity tomography sections confirm the presence of a major fault between basement blocks of different heights and indicate the presence of faults bounding the valley on its right side and in the southwestern part.     

1951—2008年北京极端天气事件分析

采用湖南14个地市州所在地国家气象站1980—2013年逐分钟降雨资料, 分别利用模糊识别法、芝加哥法、Pilgrim & cordery法及同频率法对各地短历时60 min、90 min、120 min、150 min、180 min以5 min为单位时段的暴雨雨型进行了识别和推求, 结果表明:推求的各地暴雨雨型基本以峰值在前部的单峰型为主; 芝加哥、Pilgrim & cordery计算的峰值、强度相当, 推求的各历时暴雨雨型基本一致, 也更接近实际, 同频率法相对来说效果较差些。

     

Engaging Diasporas for Development: a case study of Pitcairn Island

Diaspora engagement is a growing trend and many governments, international organisations and policy makers are increasingly focusing on the role of diaspora in development strategies for the homelands. Such policies are predominantly critical to island-dense regions such as the Caribbean and Pacific that have suffered high rates of outmigration during the postcolonial period. One such Pacific island is Pitcairn, a British Overseas Territory, and is the focus of this article. But while most of the literature focuses on the positive benefits of diaspora engagement, this paper examines the dynamics of diaspora (dis)engagement and (dis)affection. Each diaspora has a unique set of needs and capabilities based on its historical experience and the present realities of its countries of origin and destination. While much has been written celebrating the role of diasporas in development, diaspora have also shown themselves to have dual natures, with sometimes conflicting identities and allegiances. Based on analysis of a recent Pitcairn Diaspora Survey and ethnographic data, discussion in this paper reveals that the best intentions of engaging diaspora for development can be impeded by several factors including: (1) the complex nature of identity, place and politics; (2) difficult negotiations between past, present and future intentions of movers; and (3) shifting ‘roots/routes’ and boundaries of identification. Consequently, the paper aims to highlight the realities of settlement and relationships of diaspora space and subjectivity with the homeland.     

Word2003文档中插入AutoCAD2004图形的三种方法

对于测绘技术人员来说,需要编写设计书、技术总结、监测方案等测绘类文档。利用Word2003自带的绘图工具,远远不能满足要求。介绍了“利用复制＋粘贴工具”、“转换图像格式”、“使用插入对象”三种方式在Word2003文档中插入AutoCAD2004图形的三种方法,     

反演地表质量变化的附有方差约束的径向点质量方法

针对目前径向点质量方法在反演GRACE (Gravity Recovery and Climate Experiment)时变地球重力场信号时条带噪声和泄漏误差较大的问题,本文提出了一种附有方差约束的径向点质量方法(Variance Constrained Radial Point-Mass Method,VCPM).该方法利用质量块的先验方差信息设计正则化矩阵对质量变化反演进行空间约束,同时为了解决单一的正则化参数不能适应全球质量变化大小不均匀的问题,构建了迭代的正则化处理策略.为了检验VCPM方法的可靠性,本文反演了2003-01-2014-11全球地表质量变化,并与GRACE球谐位系数法、GLDAS2.1水文模型、CSR (University of Texas Center for Space Research,德克萨斯大学空间研究中心)与JPL (Jet Propulsion Laboratory,喷气推进实验室) RL06 Mascon数据在全球的均方根误差、长期趋势、周年振幅以及局部的冰冻圈、陆地流域质量变化进行了对比分析.结果显示VCPM与CSR Mascon在全球、陆地和海洋区域的RMSE按面积加权平均值分别为2.12 cm、4.16 cm和1.25 cm,在全球和陆地区域均低于CSR Mascon与JPL Mascon的相应RMSE (2.22 cm和4.62 cm),在海洋区域仅略大于CSR Mascon与JPL Mascon的RMSE (1.18 cm);在8个陆地流域和内陆海域的时间序列对比中,VCPM与两种Mascon数据在扣除季节项和趋势项后的相关系数在绝大多数区域仍能达到0.86以上;另外相对于传统点质量方法和球谐位系数法,VCPM能有效抑制南极和格陵兰岛等区域的泄漏误差.这表明本文所提出的VCPM方法可以有效去除条带误差、抑制海陆信号泄漏且大幅提高反演结果的精度和空间分辨率,从而为计算高精度高分辨率地表质量变化提供了一种可供选择的有效途径.

     

Simulation of the full two rigid body problem using polyhedral mutual potential and potential derivatives approach

Herein we investigate the coupled orbital and rotational dynamics of two rigid bodies modelled as polyhedra, under the influence of their mutual gravitational potential. The bodies may possess any arbitrary shape and mass distribution. A method of calculating the mutual potential’s derivatives with respect to relative position and attitude is derived. Relative equations of motion for the two body system are presented and an implementation of the equations of motion with the potential gradients approach is described. Results obtained with this dynamic simulation software package are presented for multiple cases to validate the approach and illustrate its utility. This simulation capability is useful both for addressing questions in dynamical astronomy and for enabling spacecraft missions to binary asteroid systems.     

搅拌桩复合地基平面模拟的简化方法探讨

水泥土搅拌桩(DMM)在高速公路工程中得到广泛应用,人们也希望能对该复合地基在路堤荷载下的地基的变形深入了解,其数值分析是一种重要的方法。但是,采用三维有限元进行数值模拟在高速公路工程中容易造成数组过大,计算时间并且收敛性比较差,因此把三维问题简化为二维问题是众望所归。在把三维问题简化二维平面问题简化计算时,最重要的是参数的折减。基于水泥土搅拌桩复合地基的特性,结合理论分析提出了一种参数折减的方法。并依据连盐高速公路实测的数据验证了该参数简化方法的可行性。     

影响江南春雨年际变化的前期海洋信号及可能机理

利用1980—2017年华南地区303个国家级地面气象站逐小时降水数据、ERA-Interim再分析资料,分析华南前汛期（4—6月）降水统计特征,定义站点上短时（1—6 h）、中等时长（7—12 h）和长时（>12 h）降水事件,对比降水量、频次和强度在南海季风爆发前后的变化,以及所定义的西部内陆、东部内陆、沿海地区的异同。结果表明：（1）南海季风爆发后,研究区域平均而言,三类降水事件的降水量增多、小时降水强度增强,短时、长时降水事件发生频次增多,而中等时长降水事件发生频次有所减少。（2）从空间分布来看,南海季风爆发后,小时降水强度在整个华南地区均增强,西部内陆时长大于6 h的降水事件尤为明显;降水事件的发生频次在西部内陆和沿海地区升高,而东部内陆时长大于6 h的降水事件发生频次降低,因此,季风爆发后西部内陆和沿海地区的总降水量均显著增大,而东部内陆的总降水量变化不大。（3）西部内陆降水事件主要在夜间开始发生,持续时间越长的事件越早开始,且由西向东逐渐推迟;东部内陆短时降水事件主要在14时（北京时,下同）左右开始,季风爆发后更为明显,而时长大于6 h的降水事件的开始时间和峰值时间无明显的分布规律;沿海地区短时降水事件在季风爆发前主要于05—08时开始,季风爆发后,在海岸线约50 km以内仍然如此,而较远离海岸线的短时降水事件主要于14时开始,沿海地区长时降水事件在季风爆发前、后都倾向于在夜间开始,并在日间出现峰值。

     

渤中凹陷西南部古新世—始新世构造差异活动及沉积充填演化

渤海海域渤中凹陷西南部构造复杂,其沉积充填演化规律不明确。综合运用岩芯、测井以及三维地震资料,对该区断陷湖盆古新世—始新世的构造活动、沉积体系以及盆地充填演化规律进行了系统研究。研究表明,渤中凹陷西南部古近纪孔店-沙河街组发育孔店组末期、沙三段末期、沙一二段末期等3期构造活动,多次隆升剥蚀形成3个关键层序界面,控制整个湖盆古近纪孔店-沙河街组的层序结构和古地貌形态。古新世—始新世主要发育近源扇三角洲、辫状河三角洲、湖泊以及湖底扇等4种沉积体系类型,其分布受古物源、古地貌、断裂活动等因素制约。在古新世孔店组沉积裂陷早期,湖盆范围小,物源供给充足,陡坡带和缓坡带均以发育扇三角洲沉积为主,湖盆中心发育湖底扇沉积,晚期湖盆逐渐萎缩;始新世早期的沙三段沉积时期,断陷活动加强,随着盆地范围的扩张,物源供应减弱,湖盆洼陷区主要发育湖底扇沉积。始新世晚期沙一二段裂后沉降期,辫状河三角洲进积特征明显,分布范围广,局部地貌高位置发育湖相碳酸盐岩沉积。不同时期构造差异活动与物源供给共同制约着该区古近纪孔店-沙河街组的沉积充填演化过程,也导致了与渤海海域其他构造区沉积充填的差异性。