Superhyperbolic expansion,noncollision singularities and symmetry configurations

A large class of symmetry solutions of the Newtonian n-body problem cannot end in a noncollision singularity nor expand faster than any constant multiple of time.Following a suggestion from Christian Marchal, we extended the original theme of this essay to include superhyperbolic motion. The work of D. Saari was supported by NSF Grant ISI 9103180; the work of F. Diacu was supported by NSERC Grant 3-48376     

Mining transition rules of cellular automata for simulating urban expansion by using the deep learning techniques

Along with the gradually accelerated urbanization process, simulating and predicting the future pattern of the city is of great importance to the prediction and prevention of some environmental, economic and urban issues. Previous studies have generally integrated traditional machine learning with cellular automaton (CA) models to simulate urban development. Nevertheless, difficulties still exist in the process of obtaining more accurate results with CA models; such difficulties are mainly due to the insufficient consideration of neighborhood effects during urban transition rule mining. In this paper, we used an effective deep learning method, named convolution neural network for united mining (UMCNN), to solve the problem. UMCNN has substantial potential to get neighborhood information from its receptive field. Thus, a novel CA model coupled with UMCNN and Markov chain was designed to improve the performance of simulating urban expansion processes. Choosing the Pearl River Delta of China as the study area, we excavate the driving factors and the transformational relations revealed by the urban land-use patterns in 2000, 2005 and 2010 and further simulate the urban expansion status in 2020 and 2030. Additionally, three traditional machine-learning-based CA models (LR, ANN and RFA) are built to attest the practicality of the proposed model. In the comparison, the proposed method reaches the highest simulation accuracy and landscape index similarity. The predicted urban expansion results reveal that the economy will continue to be the primary factor in the study area from 2010 to 2030. The proposed model can serve as guidance in urban planning and government decision-making.     

权衡耕地保护与城市扩张的永久基本农田划定--以武汉市为例

永久基本农田划定是实现耕地保护、土地集约利用以及保障粮食安全的有效方式。然而城市的快速扩张给永久基本农田划定带来了挑战,如何协调城市扩张与耕地保护两者的关系、科学合理地划定永久基本农田亟待解决。本文以武汉市为例,结合LESA(Land Evaluation and Site Assessment)方法及LANDSCAPE模型(LAND System Cellular Automata Model for Potential Effects)综合考虑永久基本农田划定与城市扩张的冲突,进行永久基本农田划定,试图协调耕地保护与城市扩张对土地资源需求的矛盾,为"多规合一"背景下科学划定永久基本农田提供方法借鉴,为优质耕地保护及土地利用优化布局提供决策参考。①运用LESA方法对武汉市的耕地进行综合质量评价及等级划分;②基于LESA综合评价结果,运用LANDSCAPE模型对武汉市永久基本农田划定及城镇建设用地扩张进行模拟;③将LANDSCAPE模型划定的永久基本农田结果与基于LESA方法划定的结果进行数量、质量和空间形态上的对比分析。结果表明:2种方法划定的永久基本农田面积相当,质量差异不大。但在空间形态上,基于LANDSCAPE模型的划定结果明显优于基于LESA方法:划定的永久基本农田集中连片分布,形状较为规则。值得注意的是,LESA方法划定的永久基本农田中有15.8%将被新增城镇建设用地侵占,而LANDSCAPE模型能够有效避免这部分永久基本农田被侵占。     

The bowing potential of granitic rocks: rock fabrics, thermal properties and residual strain

The bowing of natural stone panels is especially known for marble slabs. The bowing of granite is mainly known from tombstones in subtropical humid climate. Field inspections in combination with laboratory investigations with respect to the thermal expansion and the bowing potential was performed on two different granitoids (Cezlak granodiorite and Flossenbürg granite) which differ in the composition and rock fabrics. In addition, to describe and explain the effect of bowing of granitoid facade panels, neutron time-of-flight diffraction was applied to determine residual macro- and microstrain. The measurements were combined with investigations of the crystallographic preferred orientation of quartz and biotite. Both samples show a significant bowing as a function of panel thickness and destination temperature. In comparison to marbles the effect of bowing is more pronounced in granitoids at temperatures of 120°C. The bowing as well as the thermal expansion of the Cezlak sample is also anisotropic with respect to the rock fabrics. A quantitative estimate was performed based on the observed textures. The effect of the locked-in stresses may also have a control on the bowing together with the thermal stresses related to the different volume expansion of the rock-forming minerals.     

基于遥感影像的武汉市2003～2015年城区扩张及驱动力分析

以Landsat TM/OLI遥感影像为数据源,将武汉市土地利用分类情况主要分为建成区、植被、水体三类.通过统计对比2003～2015年的各类土地面积变化发现,武汉市建成区的面积呈逐年增加的趋势.结合分析各类统计数据得出影响武汉市城区扩张的驱动力因子中,地理环境、交通因素和人口因素为其扩张的基础条件,经济结构的转变是推动主城区向外扩张的内在动力,宏观规划政策的调控起着外在的引导作用.     

财产保险公司的地理扩张与利润

中国财产保险业（简称产险业）的经营状况存在明显的空间分异性,且近些年中国产险公司进行了较快速的地理扩张,那么,地理扩张如何影响了公司的盈利能力?本文基于2006-2015年中国64家产险公司的面板数据,采用地理加权方法估计了每家公司的利润效率,并基于多个地理扩张指标进行了回归分析。研究发现：① 地理扩张与盈利能力呈显著正相关,六成以上的正相关来自于有更强盈利能力的产险公司更会去实施地理扩张。② 地理扩张对产险公司的盈利能力仍然产生了一定程度的正向影响,其他条件不变时,如果产险公司经营的省区市数目增加10家、产险公司来自于非总部所在的省区市的保费收入份额增加10个百分点、产险公司在各省区市的保费收入的集中度降低单位标准差、产险公司总部与分部的平均距离增加1%,那么,产险公司的盈利能力将分别提高样本中单位标准差的2%、1%、2%、1%。③ 采用基于普通方法估计的利润效率时,难以得到地理扩张影响产险公司的盈利能力的结论。     

Modeling urban expansion by using variable weights logistic cellular automata: a case study of Nanjing,China

Simulation models based on cellular automata (CA) are widely used for understanding and simulating complex urban expansion process. Among these models, logistic CA (LCA) is commonly adopted. However, the performance of LCA models is often limited because the fixed coefficients obtained from binary logistic regression do not reflect the spatiotemporal heterogeneity of transition rules. Therefore, we propose a variable weights LCA (VW-LCA) model with dynamic transition rules. The regression coefficients in this VW-LCA model are based on VW by incorporating a genetic algorithm in a conventional LCA. The VW-LCA model and the conventional LCA model were both used to simulate urban expansion in Nanjing, China. The models were calibrated with data for the period 2000–2007 and validated for the period 2007–2013. The results showed that the VW-LCA model performed better than the LCA model in terms of both visual inspection and key indicators. For example, kappa, accuracy of urban land and figure of merit for the simulation results of 2013 increased by 3.26%, 2.96% and 4.44%, respectively. The VW-LCA model performs relatively better compared with other improved LCA models that are suggested in literature.     

基于CA-ABM模型的福州城市用地扩张研究

以中国海西地区重要门户福州市为研究区,结合其地理位置多层次约束性条件,以地理加权回归模型作为元胞自动机(CA)层的转换规则,同时以2000-2015年多期LandsatTM/ETM+影像的城市用地情况为参照,借助GIS空间分析技术,对CA和多智能体(ABM)相耦合的城市用地扩张模型进行改进。然后利用传统的和改进后的CA-ABM模型,多角度、多层次地模拟福州市2000年、2005年、2010年、2015年城市用地扩张在微观格局上的变化。结果表明,传统的和改进后的CA-ABM模型的整体精度均在80%以上,模拟结果具有较强的可信度;改进的 CA-ABM模型模拟的点对点总体精度和Kappa系数均高于传统的CA-ABM模型,而且模拟结果更加接近实际的城市用地扩张分布情况。结论可为平衡城市化进程和合理规划城市用地提供重要的理论技术支撑。     

函数单形和外展开

针对气象工作需要,提出一种新的适用于多维问题的函数拟合方法。实质上本想法是窗口变换技术和小波分析的"粗化";,因为精细的小波分析在目前尚难用于方程数值解等气象问题。由此可以形式上构成一种分块的Galerkin方法,使大气控制方程求解并行化。     

固结钻井液对湘西北页岩气储层的护壁机理研究

文中提出了一种液态离子固结剂,该处理剂能够有效提高页岩气井井壁的力学强度。通过开展室内实验以及进行相关分析,初步了解了添加液态离子固结剂的钻井液的基本性能,并探究了该体系钻井液对炭质页岩膨胀的抑制性以及对炭质页岩力学强度的影响。发现钻井液滤失量随液态离子固结剂含量的增加先减小后增大;在各配方钻井液中的压制岩心膨胀率明显低于在清水中的,但液态离子固结剂含量增加使得钻井液中的压制岩心膨胀率越来越高;各钻井液处理的岩粉所制成的剪切试样抗剪强度高于经清水处理的,随着液态离子固结剂含量的增加,试样抗剪强度总体上先升高再下降,且试样单轴抗压强度增大。实验结果表明,在适宜的含量范围内,液态离子固结剂有助于增强钻井液维护井壁稳定的能力。