南北地震带北段地震活动的有序性和层次性

本文分析了南北地震带北段有记载以来6级以上强震、全新世以来海原活断层8(1/2)级大震以及海原大震极震区5级以上中强震等不同层次地震事件的时间序列,发现它们具有自相似特征,即不同层次的地震事件表现有序性、满足简单公式N=AcBt或t=a+blnN。文中用最小二乘法在信度a=0.05情况下,通过线性相关检验,给出了各层次的有关系数值。 本文结果表明,地震活动是遵循尺度对应这一基本原理。这对研究地震活动分期划段,判定不同层次的地震趋势有一定参考作用。同时地震活动在不同层次表现的自相似现象也是值得进一步研究的课题。     

多级次地下水流系统的最小能耗率原理初探

20世纪60年代初期,Tóth基于定水头上边界条件推导出解析解,得出多级次地下水流系统,是水文地质学里程碑式的突破,成功地解决了一系列理论和实际问题。但Tóth解析解存在的缺陷也长期沿袭：单纯重视数学模拟而忽视物理机制;将地形控制地下水位看成是普适性规律;忽视给定水头上边界数学模拟的失真。这些缺陷,尤其是忽视物理机制探究,不仅妨碍Tóth理论自身发展,而且导致地下水流系统理论尚未被国际水文地质界普遍接受。参照河流动力学中应用的最小能耗率原理,类比提出地下水流最小能耗率的表达式。基于已有的通量上边界地下水流模式数值模拟结果,进一步探究物理机制,归纳得出地下水流系统遵循最小能耗率原理的结论。     

一类广义Sine-Gordon方程的概周期解

用最大值原理和Banach压缩映像原理研究一类广义Sine-Gordon方程的概周期解问题,证明概周期解的存在‖u‖L∞<π2中的唯一性。     

Topological relations in multisystems of more than n+ 3 phases 1

Multisystems of n+k (k > 3) phases are very complicated and knowledge of them has suffered as a result. The successful solution of the topological relationships in n+ 3 phase multisystems by Zen (1966, 1967) and Zen & Roseboom (1972) has aroused much interest regarding what will happen in a multisystem of more than n+ 3 phases. Since 1979, some important research results on this topic have been published. These results have expounded the substantial rules governing the appearance of phase relations in phase diagrams of n - k (k > 3) phase multisystems. The most significant conclusions include: (1) It is impossible to incorporate all the possible phase relations in an n+k (k > 3) phase multisystem in a single closed net. Therefore, it is no longer enough to use only a single closed net to depict the topological relations involved in these types of multisystems. Instead, one or more groups of closed nets, namely the complete system(s) of closed nets are necessary for this purpose. (2) A principle called the Combination Principle has been proposed and proved. It states: Any closed net of one n+k (k > 3) phase multisystem must be a combination of two or more distinct n+ 3 order submultisystem closed nets belonging to the given n+k phase multisystem, if it is not one of the n+ 3 order submultisystem closed nets itself. The combination principle provides both a theoretical basis and a practical method for the construction of closed nets and, hence, for the derivation of the real phase diagrams for any n+k (k > 3) phase multisystem. (3) A theorem on divariant-assemblage-characteristic-stability-polygons is also important to our understanding of the n+k (k± 3) phase multisystem closed nets. This theorem can be stated as follows: A divariant assemblage of an n+k (k± 3) phase multisystem will be stable in an l-polygon lacking diagonals in an appropriate set of closed-net-diagrams, and this l-polygon may be at least a triangle, and at most a k-polygon. In addition, the closed-net-diagrams of unary and binary n+ 4 phase multisystems derived respectively by Guo (1980b, 1980c, 1981a) and by Roseboom & Zen (1982) have also been summarized. The combination principle is applied to a practical petrological problem in this paper, dealing with 7 phases in the system FeO-Fe₂O₃-SiO₂.     

Generating urban road intersection models from low-frequency GPS trajectory data

Detailed real-time road data are an important prerequisite for navigation and intelligent transportation systems. As accident-prone areas, road intersections play a critical role in route guidance and traffic management. Ubiquitous trajectory data have led to a recent surge in road map reconstruction. However, it is still challenging to automatically generate detailed structural models for road intersections, especially from low-frequency trajectory data. We propose a novel three-step approach to extract the structural and semantic information of road intersections from low-frequency trajectories. The spatial coverage of road intersections is first detected based on hotspot analysis and triangulation-based point clustering. Next, an improved hierarchical trajectory clustering algorithm is designed to adaptively extract the turning modes and traffic rules of road intersections. Finally, structural models are generated via K-segment fitting and common subsequence merging. Experimental results demonstrate that the proposed method can efficiently handle low-frequency, unstable trajectory data and accurately extract the structural and semantic features of road intersections. Therefore, the proposed method provides a promising solution for enriching and updating routable road data.     

电磁波CT成像技术在防水工程场地勘查中的应用

电磁波CT成像技术是基于地下介质的物性差异,利用各种波源透视探测目的体及地质现象的一种地球物理方法,文章介绍了电磁波CT成像技术的原理和工作方法、某防水工程场地电磁波CT成像勘查实例及应用效果.     

不同职能城市土地利用结构影响因素分析

根据2007年地级以上城市的土地和社会经济数据,采用主成分、聚类分析、相关分析等方法,分析不同职能城市土地利用结构特征及影响因素。结果表明:(1)根据城市职能主因子得分,结合城市规划及发展实际,将地级以上规模城市分为区域综合性城市、第二产业城市、交通城市、文化旅游城市、地方中心城市5类。(2)不同职能城市土地利用结构信息熵以中等水平为主,土地利用类型多样性提升空间较大。(3)经济因素、产业结构、基础设施和城市人口等是影响土地利用结构的主要因素,但对不同职能城市用地结构的影响次序和影响程度异质性明显。     

中心地理论中市场原则的再讨论

本文指出中心地理论中k = 3系统由市场原则生成的几种传统说法的缺陷;提出所有相邻级别中心地,在满足以下两个条件：① 正三角形的中心地分布和中心地之正六边形市场区;② 较高级别中心地提供相应级别及比其等级低的货物,它们的市场区（或腹地）之大小应尽可能地接近,以尽最大可能地减少相邻级别中心地市场区之间的差距,进而降低所生成的中心地系统对要配置的商品或服务因其上限或下限范围之要求产生可能的排除,这即是市场原则之合理说法。本文的新提法能够调和克里斯塔勒自上而下和哈格特自下而上建构中心地系统所产生的规模等级及其解释之差异。从廖什的空间垄断竞争型中心地建模理念看,根据此提法建立的中心地系统尽可能地降低了厂商的空间垄断性,以减少厂商取得的超额利润,其符合正常市场理性原则。本文对中心地理论中k = 3市场原则内涵的修正能够提升中心地理论对现实世界的分析和实践指导作用。     

具梯度项的次线性椭圆型方程解的分析

本文研究了1类具梯度项的次线性椭圆型方程大解和完全有界解的存在性问题。运用上下解方法和极值原理分别得到了Rn上方程存在完全大解的充分必要条件和存在完全有界解的充分条件,并且证明了该方程在Rn中光滑有界区域Ω上不存在大解。     

论影视艺术欣赏的审美关系

影视艺术欣赏是人类在精神上对美的需求且与其对应的、按美的法则建造的“第二自然”,具有审美属性;是一种审美创造与审美关系。从悲剧、悲剧感,喜剧和喜剧感及其审美价值等方面均可印证这一说法。