The N-gon is not a local minimum of U 2 I for N > 7     

Kevin D. P. Woerner 《Celestial Mechanics and Dynamical Astronomy》1990,49(4):413-421

A theorem of Palmore's concerning coplanar central configurations of equal mass bodies was shown to be false for all even N 6 by Slaminka and Woerner. Using a variation of that argument I prove that Palmore's Theorem is false for all N 6.Northwestern University  相似文献   

Sur l'instabilite de certaines positions d'equilibre relatif dans le probleme des n corps     

B. Elmabsout 《Celestial Mechanics and Dynamical Astronomy》1990,49(3):219-231

Resumé On démontre dans cet article l'instabilité, pour tout n 4, des configurations d'équilibre relatif dans le problème des n corps, oú les n corps soumises aux attractions newtonniennes mutuelles se trouvent aux sommets d'un polygone régulier de n cotés. La preuve consiste à montrer que les équations aux variations, projetées sur le plan P des n corps, possèdent au moins deux exposants caractéristiques complexes connugués dont la parr'e réelle est strictement positive; alors que ces equations projetées sur un axe orthogonal à P possèdent des solutions ayant des termes séculaires.

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We prove in this paper the instability, for all n 4, of the configurations of relative equilibrium in the n-body problem where the n bodies submitted to newtonian mutual attractions are at the vertices of a regular polypon with n sides. For this proof we show that the equations of variations projected to the n bodies plan P have at least two conjugate characteristic exponents with a strictly positive real part; while these equations projected to an orthogonal axis to P have some solutions with secular terms.

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Quantifying and testing differences among means of compositional data suites   总被引：1，自引：0，他引：1  

Alex Woronow  Karen M. Love 《Mathematical Geology》1990,22(7):837-852

Commonly, geological studies compare mean values of two or more compositional data suites in order to determine if, how, and by how much they differ. Simple approaches for evaluating and statistically testing differences in mean values for open data fail for compositional (closed) data. A new parameter, an f-value, therefore has been developed, which correctly quantifies the differences among compositional mean values and allows testing those differences for statistical significance. In general, this parameter quantifies only therelative factor by which compositional variables differ across data suites; however for situations where, arguably, at least one component has neither increased nor decreased, anabsolute f-value can be computed. In situations where the compositional variables have undergone many perturbations, arguments based upon thef-values and the central limit theorem indicate that logratios of compositional variables should be normally distributed.  相似文献   

Chen-Chao Koo and the Early Numerical Weather Prediction Experiments in China     

Jianhua LU 《大气科学进展》2021,38(5):707-716

Although the first successful numerical weather prediction(NWP)project led by Charney and von Neumann is widely known,little is known by the international community about the development of NWP during the 1950s in China.Here,a detailed historical perspective on the early NWP experiments in China is provided.The leadership in NWP of the late Professor Chen-Chao Koo,a protége of C.G.Rossby at the University of Stockholm during the late 1940s and a key leader of modern meteorology(particularly of atmospheric dynamics and physics)in China during the 1950s?70s,is highlighted.The unique contributions to NWP by Koo and his students,such as the ideas of formulating NWP as an“evolution”problem,in which the past data over multiple time steps are utilized,rather than an initial-value problem,and on the cybernetic aspects of atmospheric processes,i.e.,regarding the motion of the atmosphere at various time scales as an optimal control system,are also emphasized.  相似文献   

地热矿水资源开发引起的环境地质问题   总被引：3，自引：0，他引：3  

石涵静 《城市地质》2008,3(2):33-34

本文分析论述了地热矿水资源开发引起的地面沉降、地热资源衰竭、地热水有害成分污染、热污染等主要环境与地质问题。  相似文献   

Analysis for temperature and pressure fields in process of hydrate dissociation by depressurization     

Zhenwei Zhao  Xinchun Shang 《国际地质力学数值与分析法杂志》2010,34(17):1831-1845

An improved axisymmetric mathematic modeling is proposed for the process of hydrate dissociation by depressurization around vertical well. To reckon in the effect of latent heat of gas hydrate at the decomposition front, the energy balance equation is employed. The semi‐analytic solutions for temperature and pressure fields are obtained by using Boltzmann‐transformation. The location of decomposition front is determined by solving initial value problem for system of ordinary differential equations. The distributions of pressure and temperature along horizontal radiate in the reservoir are calculated. The numeric results indicate that the moving speed of decomposition front is sensitively dependent on the well pressure and the sediment permeability. Copyright © 2010 John Wiley & Sons, Ltd.  相似文献   

Comparing apples and oranges: The dependent variable problem in comparing and evaluating climate change adaptation policies     

Johann Dupuis  Robbert Biesbroek 《Global Environmental Change》2013,23(6):1476-1487

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Rainfall–runoff model parameter estimation and uncertainty evaluation on small plots          下载免费PDF全文

Keewook Kim  Gene Whelan  S. Thomas Purucker  Thomas F. Bohrmann  Michael J. Cyterski  Marirosa Molina  Yin Gu  Yakov Pachepsky  Andrey Guber  Dorcas H. Franklin 《水文研究》2014,28(20):5220-5235

Four seasonal rainfall simulations in 2009 and 2010 were applied to a field containing 36 plots (0.75 × 2 m each), resulting in 144 runoff events. In all simulations, a constant rate of rainfall was applied then halted 60 min after initiation of runoff, with plot‐scale monitoring of runoff every 5 min during that period. Runoff was simulated with the Kinematic Runoff and Erosion/Simulator of Transport with Infiltration and Runoff (KINEROS2/STWIR) field‐scale model, whose hydrodynamics are based on the kinematic wave equation. Because of the non‐linear nature of the model and a highly parameterized model with respect to the available data, several approaches were investigated to upscale nine runoff‐related parameters from a series of small monitored plots to the field scale. Inverse modeling was performed using the model‐independent Parameter ESTimation (PEST) algorithm to individually calibrate the nine KINEROS2/STWIR parameters on 36 plots. The parameters were averaged, and bootstrapping was used to assess uncertainty of the parameters via estimation of confidence intervals (CI). A Monte Carlo simulation using the bootstrap results showed reasonable field‐scale representation of flow rates. Median values of calibrated parameters were within the 95% CI obtained with bootstrapping. The simulated results for the median values associated with the 90% CI flow rates produced similar trends as those exhibited with the observed data, suggesting that median values of the calibrated parameters from the PEST inverse modeling could be used to represent the field scale. Copyright © 2013 John Wiley & Sons, Ltd.  相似文献   

利用四元数的运算法则推导球面三角公式     

张捍卫  张红利  喻铮铮 《大地测量与地球动力学》2020,40(6):608-611

基于四元数的运算法则，引入向量的共轭和逆概念及2个向量之间的另一种乘法运算--格拉斯曼乘积。结果表明，球面上大圆弧对应的四元数为球心指向大圆弧终点的单位向量与球心指向大圆弧始点的单位向量逆的格拉斯曼乘积；球面角对应的四元数为终大圆弧（指向顶点）平面法向的单位向量与始大圆弧（背向顶点）平面法向的单位向量逆的格拉斯曼乘积。利用四元数运算法则可方便地推导球面三角形边或角正弦和余弦公式及第一和第二五元素公式。  相似文献   

Data assimilation using the particle filter for identifying the elasto‐plastic material properties of geomaterials     

Akira Murakami  Takayuki Shuku  Shin‐ichi Nishimura  Kazunori Fujisawa  Kazuyuki Nakamura 《国际地质力学数值与分析法杂志》2013,37(11):1642-1669

A computational method, incorporating the finite element model (FEM) into data assimilation using the particle filter, is presented for identifying elasto‐plastic material properties based on sequential measurements under the known changing traction boundary conditions to overcome some difficulties in identifying the parameters for elasto‐plastic problems from which the existing inverse analysis strategies have suffered. A soil–water coupled problem, which uses the elasto‐plastic constitutive model, is dealt with as the geotechnical application. Measured data on the settlement and the pore pressure are obtained from a synthetic FEM computation as the forward problem under the known parameters to be identified for both the element tests and the ground behavior during the embankment construction sequence. Parameter identification for elasto‐plastic problems, such as soil behavior, should be made by considering the measurements of deformation and/or pore pressure step by step from the initial stage of construction and throughout the deformation history under the changing traction boundary conditions because of the embankment or the excavation because the ground behavior is highly dependent on the loading history. Thus, it appears that sequential data assimilation techniques, such as the particle filter, are the preferable tools that can provide estimates of the state variables, that is, deformation, pore pressure, and unknown parameters, for the constitutive model in geotechnical practice. The present paper discusses the priority of the particle filter in its application to initial/boundary value problems for elasto‐plastic materials and demonstrates a couple of numerical examples. Copyright © 2012 John Wiley & Sons, Ltd.  相似文献