System for normalization of a hamiltonian function based on lie series

A software system for normalization of a Hamiltonian function is described. A few examples of its applications are given. It is written in PASCAL and runs on an IBM XT/AT with 640 KB memory.     

Kepler's Equation and Newton's method

Power series solutions of Kepler's Equation associated with Lagrange, Levi-Civita and Stumpff may be obtained by Newton's method as an algorithm for formal power series.     

青藏高原区域性积雪增量序列及其变化特征

利用青藏高原83个气象台站的逐日积雪观测资料,充分考虑每次降雪过程所引起的积雪变化,建立了该地区1960-2007年度的区域性积雪增量序列,并讨论了其长期变化特征.结果表明:(1)积雪增量序列具有其他积雪参数指标的代表性,又较其他积雪参数指标序列有明显的统计学优点.(2)在48个年度里,1960-1966年度青藏高原区域性积雪增量处于负位相,1967-1998年度为多雪的正位相,1999-2007年度又为少雪的负位相,其中1998年度是个具有显著性的突变点.     

INFLUENCE OF SERIES OF SQUARE GRIDS ON FRACTAL DIMENSIONS—A Case Study of Mountains of China＇s Mainland

MANDELBROT enunciated the uncertainty of the length of a coastline in his paper “How long is the coastline of Britain?” published in Science in 1967. The fractal concept was presented for the first time in that paper and has been applied to many fields ever since. Although fractal dimensions of lots of phenomena were calculated by the box-counting method, the quantitative influence of series of square grids on them is ignored. The issue is systematically discussed as a case study of the mountains of China‘s Mainland in this paper. And some significant conclusions are drawn as follows: 1) Although the fractal character objectively exists in the mountains of China‘s Mainland, and it does not vary with the changes of series of square grids, the fractal dimensions of the mountains of China‘s Mainland are different with these changes. 2) The fractal dimensions of the mountains of China‘s Mainlandvary with the average lengths of sides of series of square grids. The fractal dimension of the mountains of China‘s Mainland is the function of the average length of side of square grid. They conform to the formula D=f(r) (where D is the fractal dimension, and r is the average length of side of square grid). 3) Different dots of data collection can affect the fractal dimension of the mountains of China‘s Mainland. 4) The same range of length of side of square grid and dots of data collection can ensure the comparison of fractal dimensions of the mountains of China‘ s Mainland. The research is helpful to get the more understanding of fractal and fractal dimension, and ensure that the fractal studies would be scientific.     

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基于傅里叶级数的中国沿海地区Tm模型精化研究

本文采用中国沿海地区13个探空站2010~2014年实测地表温度T_s与平均温度T_m数据,利用傅里叶级数分析法精化中国沿海地区T_m模型,并将2015年探空站实测T_m数据与精化模型进行对比检验。结果表明,精化模型在T_m探测方面具有更高的计算精度,其计算大气可降水量的误差概率分布趋近于正态分布,具有较强的稳定性。     

浅谈阿舍勒黄铁矿型多金属矿的垂直分带

阿舍勒黄铁型多金属矿床位于阿尔泰地槽褶皱系的中泥盆统安山质—英安质火山—沉积岩中.矿体充填在火山管道内或火山口近侧,主矿体隐伏地下.矿化元素有铁、铜、铅、锌、金、银、硫、钡等,伴生有锗、镓、铟、硒、镉、铋等.矿体上部形态复杂并有分枝,向深部连成一体,是一个向北东侧伏的筒状体.矿体自上而下具垂宜分带,依次为:重晶石—硅化带;黄铁矿—多金属带;黄铁矿—铜、锌带等…     

青田芝溪头鹤溪群浅变质岩系中发现动物化石

作者于1993年4月在浙江青田芝溪头鹤溪群剖面上采集了白云质大理岩标本样品，送南京地质古生物研究所进行标本浸泡处理。首次获得鱼骨、管状化石及土菱子介等海相化石，经鉴定认为其时代可能属石岩—二叠纪。本文根据以往的同位素资料、沉积环境分析和区域对比，认为这套变质岩系的原岩为二叠纪含煤沉积岩，可与福建的童子岩组中上部层位对比。     

一种削弱区域CORS站坐标时间序列非线性变化的方法

为削弱测站非线性变化对速度场模型和噪声模型的影响,提出一种EMD分解与环境负载改正相结合的方法,利用徐州区域10个CORS站近2 a(2016-06～2018-05)的时间序列对该方法进行验证.首先利用Bernese软件解算测站坐标时间序列,对去线性项的时间序列进行EMD分解,重构周期项和残差项;然后利用GFZ发布的环...