轴对称稳恒磁场的一种解法

本文依据稳恒磁场中的高斯定理和安培环路定理，用迭代法推导出对称轴上的磁感应强度与空间任意一点磁感应强度的关系式，从而可得出轴对称稳恒磁场的无电流分布空间的解式。     

A Laboratory Model for the Flow in Urban Street Canyons Induced by Bottom Heating

Water tank experiments are carried out to investigate the convection flow induced by bottom heating and the effects of the ambient wind on the flow in non-symmetrical urban street canyons based on the PIV (Particle Image Visualization) technique. Fluid experiments show that with calm ambient wind,the flows in the street canyon are completely driven by thermal force, and the convection can reach the upper atmosphere of the street canyon. Horizontal and vertical motions also appear above the roofs of the buildings. These are the conditions which favor the exchange of momentum and air mass between the street canyon and its environment. More than two vortices are induced by the convection, and the complex circulation pattern will vary with time in a wider street canyon. However， in a narrow street canyon， just one vortex appears. With a light ambient wind, the bottom heating and the associated convection result in just one main vortex. As the ambient wind speed increases, the vortex becomes more organized and its center shifts closer to the leeward building.     

大气环流的奇偶对称性（Ⅰ）理论依据和气候特征

文中使用奇偶对称分析方法，利用观测资料对全球环流的奇偶对称分量的分布做了分析，指出奇偶分布的气候特征及其时间演变能反映南北半球海陆差异带来的影响，揭示大气对辐射加热响应的时间尺度、环流的波动结构及全球环流季节性调整等一些特征。     

由多项式构成的离散空间直交系

本文由多项式构成了离散空间的三组直交系;证明了由多项式构成的离散空间直交系的每一直交多项式的诸系数比都是唯一确定的,在这种意义上讲,离散空间直交系是唯一的;从这一唯一性出发,本文导出了直交系各直交多项式的对称性,这种对称性给数据处理,特别是实时数据处理工作带来了方便。     

中国春季气温异常变率的非线性特征

运用一种基于神经网络的非线性主成分分析法(NLPCA)对中国1951-2003年53 a春季气温距平场进行分析,结果表明,春季气温异常变率具有显著的非线性特征,当非线性主元u分别取最大值和最小值时,对应的空间气温异常分布型具有显著的非对称性.     

大陆、海洋分布的对称性及成因探讨

通过观察地球表面偶然发现,大陆、海洋的分布有明显的对称特征,地球一侧如为大陆,与其对应的地球的另一侧一定为海洋。依大陆、海洋分布的对称特征为基本论据,从大陆、海洋形成所需物质、物质运移、物质运移能量三大要素入手,分析讨论了大陆、海洋的形成过程,指出大陆、海洋的形成是靠地球内能的作用,形成大陆的物质来自地球另一侧与其对称分布的海洋,软流层是物质运移通道。     

Relationships between fractal road and drainage networks in Wuling mountainous area: Another symmetric understanding of human-environment relations

Symmetrical relationships between humans and their environment have been referred to as an extension of symmetries in the human geographical system and have drawn great attention. This paper explored the symmetry between physical and human systems through fractal analysis of the road and drainage networks in Wuling mountainous area. We found that both the road and drainage networks reflect weak clustering distributions. The evolution of the road network shared a significant self-organizing composition, while the drainage network showed obvious double fraetal characteristics. The geometric fractal dimension of the road network was larger than that of the drainage network. In addition, when assigned a weight relating to hierarchy or length, neither the road network nor drainage network showed a fractal property. These findings indicated that the fractal evolution of the road network shared certain similarities with fractal distribution of the drainage network. The symmetry between the two systems resulted from an interactive process of destroying symmetry at the lower order and reconstructing symmetry at the higher order. The relationships between the fractal dimensions of the rural-urban road network, the drainage network andthe urban system indicated that the development of this area was to achieve the symmetrical isomorphism of physical-human geographical systems.