How the Method of Minimization of Action Avoids Singularities

The method of minimization of action is a powerful technique of proving the existence of particular and interesting solutions of the n-body problem, but it suffers from the possible interference of singularities. The minimization of action is an optimization and, after a short presentation of a few optimization theories, our analysis of interference of singularities will show that:(A) An n-body solution minimizing the action between given boundary conditions has no discontinuity: all n-bodies have a continuous and bounded motion and thus all eventual singularities are collisions;(B) A beautiful extension of Lambert's theorem shows that, for these minimizing solutions, no double collision can occur at an intermediate time;(C) The proof can be extended to triple and to multiple collisions. Thus, the method of minimization of action leads to pure n-body motions without singularity at any intermediate time, even if one or several collisions are imposed at initial and/or final times.This method is suitable for non-infinitesimal masses only. Fortunately, a similar method, with the same general property with respect to the singularities, can be extended to n-body problems including infinitesimal masses.     

“翻台法”提高地震定位精度的数学原理

对于震中偏离台网情况下的地震定位，常规方法定位效果较差。“翻台法”有效地提高了其定位精度。从均匀地壳模型的走时方程组出发，分析了“翻台法”定位中方程组系数的变化特点，推导了选取最佳翻转台站的方法，并得出如下结论：（１）“翻台法”增加了原定位方程组的约束方程，翻台数与已知条件和所求参数个数有关，从理论上讲，翻转台数超过独立的约束方程数时对增加定位精度不再有意义；（２）考虑到具体的台网布局和台站资料质量，翻转不同台站对提高地震定位精度所起的作用大小各不相同，因而存在选取最佳翻转台站问题。     

Achieving additional emission reductions under a cap-and-trade scheme

Over the last decade, cap-and-trade emissions schemes have emerged as one of the favoured policy instruments for reducing GHG emissions. An inherent design feature of cap-and-trade schemes is that, once the cap on emissions has been set, no additional reductions beyond this level can be provided by the actions of those individuals, organizations and governments within the covered sectors. Thus, the emissions cap constitutes an emissions floor. This feature has been claimed by some to have undesirable implications, in that it discourages ethically motivated mitigation actions and preempts the possibility that local, state and national governments can take additional mitigation action in the context of weak national or regional targets. These criticisms have become prominent in Australia and the US within the public debate regarding the adoption of an emissions trading scheme (ETS). These criticisms and their potential solutions are reviewed. A set-aside reserve is proposed to automatically retire ETS permits, which would correspond to verified and additional emissions reductions. This minimizes the possibility that ethically motivated mitigation actions are discouraged, allows for additional action by other levels of government, while providing transparency to other market participants on the level of permit retirements.     

Implications of early action for JI baselines

Abstract

This article discusses possible implications of early Joint Implementation (JI) action. Some projects which would otherwise be non-additional during the first commitment period, can become additional by implementing them before 2008 through early JI. For example, several environmental investments that will be mandatory under the European Union (EU) Acquis Communautaire as of, e.g. 2008 or 2010 could be carried out earlier than that with early JI action. As such, candidate countries could partly finance the accession process through JI credits and their environmental standards would earlier be in line with the Acquis. The theoretical risk that projects would have to follow a slow track if JI parties are not eligible for the fast track is not large for JI hosts that are candidate for EU membership.     

On the variational approach to the periodic n-body problem

This expository paper gathers some of the results obtained by the author in recent works in collaboration with Davide Ferrario and Vivina Barutello, focusing on the periodic n-body problem from the perspective of the calculus of variations and minimax theory. These researches were aimed at developing a systematic variational approach to the equivariant periodic n-body problem in the two and three-dimensional space. The purpose of this paper is to expose the main problems and achievements of this approach. The material here was exposed in the talk that given at the Meeting CELMEC IV promoted by SIMCA (Società italiana di Meccanica Celeste).     

山区人为地质灾害问题与思考

人为地质灾害加剧，地质环境恶化，势必阻碍山区经济发展，产生的根源在于人类不妥当的工程经济活动。因此，解决问题的基本途径是从调整人的行为入手，以人为本，综合治理，搞好灾害防治工作，促进山区经济持续发展。     

中国环境工程地质的发展现状与未来

本文对我国环境工程地质的发展简况、研究现状和末来所面临的问题等进行了回顾、概括和展望,指出我国环境工程地质问题日趋复杂。从防御和保护环境出发,我国未来的环境地质问题将以沿海地区、长江中下游沿江地带和内陆大中城市地区为重点。建立经济、社会和环境协调发展的环境工程地质的科学体系已成为当务之急。     

集群产业优势对区域品牌形成的作用机理研究——以温州典型产业集群为例

为了获得集群产业优势与区域品牌形成之间的作用机理,在回顾大量相关文献的基础上,从理论层面推导出集群产业优势的构成维度;通过对温州集群品牌的深访研究,获得维度构成和测量指标,印证和修正理论模型,开发量表和设计问卷;并以温州典型产业集群为例,对影响区域品牌形成的集群产业优势进行实证研究。结论证实集群产业优势的4个维度(成本优势、产品优势、创新优势和营销优势)对区域品牌形成均具有显著作用。     

Improvement and Application of the Similarity Saltation Model: Wind-Tunnel Experimental Investigation and Numerical Simulation of the Vertical Sand Mass Flux Distribution in the Saltation Layer

Based upon comparisons between published experimental data and simulated results on the vertical sand flux distribution in the saltation layer, Shao’s similarity saltation model has been greatly improved by correcting the average vertical particle lift-off velocity and using a more suitable universal roughness length. By the improved model, the vertical sand flux profile over the bare, dry and loose uniform sandy surface, which is quite representative of real desert surfaces, can be reproduced very well. Meanwhile, the surface transport rate and the characteristic and average saltation heights have been simulated and analyzed in detail, disclosing their relationships with friction velocity, particle size and roughness length, and the possible underlying mechanisms. Besides, the average particle lift-off velocity and the average mean vertical aerodynamic action upon the ascending particle, which determine the saltation process, are explicitly expressed by parameters involved in the similarity model, and their relationships with friction velocity, particle size and roughness length are also described concisely. The corrected average particle lift-off velocity makes it possible to investigate the characteristic particle trajectory, whose initial velocity equals the average lift-off velocity, so as to estimate the average particle against surface impacting velocity and the average aerodynamic action upon the saltation process.     

深部作用在华北中生代陆内造山过程中的主导性 ——对断块构造力源机制的讨论

本文结合笔者对大兴安岭和燕山中生代陆内造山作用的研究,对张文佑先生提出的“断块构造”的力源机制作进一步的探讨。大兴安岭中生代不同深度的两种作用同时控制着岩浆活动和构造变形,即软流圈底辟体上涌与陆缘剪切走滑的共同作用--可称之为构造-岩浆活动的二元机制,其中前者起主导作用。燕山地区中生代的断陷和隆起,是在岩石圈断裂继承性活动的基础上,在地幔物质上升和参与的背景下发生的,其中深部作用也是主导性的。