In the present paper, the establishment of a systematic multi-barycenter mechanics is based on the multi-particle mechanics. The new theory perfects the basic theoretical system of classical mechanics, which finds the...In the present paper, the establishment of a systematic multi-barycenter mechanics is based on the multi-particle mechanics. The new theory perfects the basic theoretical system of classical mechanics, which finds the law of mutual interaction between particle groups, reveals the limitations of Newton’s third law, discovers the principle of the intrinsic relationship between gravity and tidal force, reasonably interprets the origin and change laws for the rotation angular momentum of galaxies and stars and so on. By applying new theory, the multi-body problem can be transformed into a special two-body problem and for which an approximate solution method is proposed, the motion law of each particle can be roughly obtained.展开更多
The kernel of interval grey number is most likely the real number,which can be used to represent whitenization value of interval grey number.A novel method for calculating kernel of interval grey number is constructed...The kernel of interval grey number is most likely the real number,which can be used to represent whitenization value of interval grey number.A novel method for calculating kernel of interval grey number is constructed based on the geometric barycenter of whitenization weight function in the two-dimensional coordinate plane,and the calculation of kernel is converted to the calculation of barycenter in geometric figures.The method fully considers the effect of all information contained in whitenization weight function on the calculation result of kernel,and is the extension and perfection of the existing methods in the scope of application.展开更多
A characteristic of a special case of Riemannean barycenters on the unit circle is presented. The non-uniqueness of such barycenters leads to an interesting study of the so-called multiple barycenters. In this work, w...A characteristic of a special case of Riemannean barycenters on the unit circle is presented. The non-uniqueness of such barycenters leads to an interesting study of the so-called multiple barycenters. In this work, we deal with a smooth one-dimensional manifold S1 only. Some theoretical and computational analysis is listed.展开更多
为揭示气候变化背景下我国各陆地生态系统净初级生产力(NPP)的时空分布特征与驱动机制,引入重心模型分析2000—2017年我国NPP的空间分布格局变化,并利用相关分析方法结合Thornthwaite Memorial模型定量区分气候变化与人类活动影响NPP的...为揭示气候变化背景下我国各陆地生态系统净初级生产力(NPP)的时空分布特征与驱动机制,引入重心模型分析2000—2017年我国NPP的空间分布格局变化,并利用相关分析方法结合Thornthwaite Memorial模型定量区分气候变化与人类活动影响NPP的相对作用。结果表明:(1)2000—2017年全国NPP均值为325.86 g C/m^(2),整体呈现出南方高北方低,东南向西北逐渐递减的特点。(2)近18年全国与各陆地生态系统NPP均呈现增长趋势,全国NPP增长速率为4.4597 g C m^(-2)a^(-1),总净增加约0.391 Pg C。空间上全国与森林、草地、荒漠生态系统的NPP重心向东北方向移动,农田与城市生态系统的NPP重心向西北方向移动,表明NPP在该方向上的增速和增量最大。(3)全国NPP在华北、西北地区与四川盆地主要受降水的影响,在青藏高原与云贵高原的东部主要受气温的影响,各陆地生态系统之间城市生态系统NPP对降水响应的敏感度相对最高,荒漠生态系统NPP对温度响应的敏感度相对最高。(4)气候变化和人类活动对全国NPP变化的贡献分别约占56%和44%,各陆地生态系统的NPP也表现为受气候变化的影响大于人类活动的影响。此外气候变化对荒漠生态系统NPP的影响最大,对森林生态系统的影响最小,人类活动对各陆地生态系统NPP的影响大小则相反。研究结果可为我国生态环境保护、资源的合理配置以及制定环境、社会经济发展等战略决策提供科学依据。展开更多
文摘In the present paper, the establishment of a systematic multi-barycenter mechanics is based on the multi-particle mechanics. The new theory perfects the basic theoretical system of classical mechanics, which finds the law of mutual interaction between particle groups, reveals the limitations of Newton’s third law, discovers the principle of the intrinsic relationship between gravity and tidal force, reasonably interprets the origin and change laws for the rotation angular momentum of galaxies and stars and so on. By applying new theory, the multi-body problem can be transformed into a special two-body problem and for which an approximate solution method is proposed, the motion law of each particle can be roughly obtained.
基金Supported by the National Natural Science Foundation of China(71271226,70971064,71101159)the Humanities and Social Science Foundation of Ministry of Education(11YJC630273,12YJC630140)+4 种基金the Program for Chongqing Innovation Team in University(KJTD201313)the Science and Technology Research Projects of Chongqing Education Commission(KJ120706)the Open Foundation of Chongqing Key Laboratory of Electronic Commerce and Supply Chain System(2012ECSC0101)the Special Fund of Chongqing Key Laboratory of Electronic Commerce and Supply Chain System(2012ECSC0217)the Chongqing City Board of Education Science and Technology Research Projects(1202010)
文摘The kernel of interval grey number is most likely the real number,which can be used to represent whitenization value of interval grey number.A novel method for calculating kernel of interval grey number is constructed based on the geometric barycenter of whitenization weight function in the two-dimensional coordinate plane,and the calculation of kernel is converted to the calculation of barycenter in geometric figures.The method fully considers the effect of all information contained in whitenization weight function on the calculation result of kernel,and is the extension and perfection of the existing methods in the scope of application.
文摘A characteristic of a special case of Riemannean barycenters on the unit circle is presented. The non-uniqueness of such barycenters leads to an interesting study of the so-called multiple barycenters. In this work, we deal with a smooth one-dimensional manifold S1 only. Some theoretical and computational analysis is listed.
文摘为揭示气候变化背景下我国各陆地生态系统净初级生产力(NPP)的时空分布特征与驱动机制,引入重心模型分析2000—2017年我国NPP的空间分布格局变化,并利用相关分析方法结合Thornthwaite Memorial模型定量区分气候变化与人类活动影响NPP的相对作用。结果表明:(1)2000—2017年全国NPP均值为325.86 g C/m^(2),整体呈现出南方高北方低,东南向西北逐渐递减的特点。(2)近18年全国与各陆地生态系统NPP均呈现增长趋势,全国NPP增长速率为4.4597 g C m^(-2)a^(-1),总净增加约0.391 Pg C。空间上全国与森林、草地、荒漠生态系统的NPP重心向东北方向移动,农田与城市生态系统的NPP重心向西北方向移动,表明NPP在该方向上的增速和增量最大。(3)全国NPP在华北、西北地区与四川盆地主要受降水的影响,在青藏高原与云贵高原的东部主要受气温的影响,各陆地生态系统之间城市生态系统NPP对降水响应的敏感度相对最高,荒漠生态系统NPP对温度响应的敏感度相对最高。(4)气候变化和人类活动对全国NPP变化的贡献分别约占56%和44%,各陆地生态系统的NPP也表现为受气候变化的影响大于人类活动的影响。此外气候变化对荒漠生态系统NPP的影响最大,对森林生态系统的影响最小,人类活动对各陆地生态系统NPP的影响大小则相反。研究结果可为我国生态环境保护、资源的合理配置以及制定环境、社会经济发展等战略决策提供科学依据。
