基于改进的相关度的局部图像修复模型

TV模型在修复图像时对整个待修复图像进行迭代,文章提出了针对破损区域进行修复的局部修复模型,大大缩短了修复时间;并在有关改进方法的基础上,引入改进的相关度,使修复效果更好.实验结果表明,在迭代次数相同的条件下,该修复模型比TV模型和有关改进的TV模型的图像修复效果更好,所用时间更短.     

广义相对论效应下的Kerr场重力加速度

根据GR稳定场的Kerr度规,由引力场质点重力加速度的逆变分量推导Kerr场质点的重力加速度逆变分量的球坐标精确表示式.结果表明,Kerr场中质点的重力加速度不仅与场源的质量、单位质量的角动量及质点在场中的位置有关,而且与质点的速度有关,这正是GR效应在Kerr场中质点运动的反映.     

论语言的模糊混沌与灰色性

人类认识世界的局限性和渐进性决定了人类所使用语言精确的相对性。人类认识自然的模糊过程决定了语言的模糊性。从中国哲学思维方式的整体性与西方哲学思维的分析性可认识中国语言的相对模糊性和西方语言的相对精确性。有些词汇在汉语中是清楚的,但在英语中是模糊的;有些词汇在汉语中是模糊的,在英语中却是精确的;模糊思维决定了思维载体的语言的模糊性。从事物存在的两面和多面性认识语言的模糊性,从模糊数学的实用性认识语言的模糊性。语言模糊与精确是可以相互转换的,语言模糊与精确是相对的,语言是灰色的。     

关于算数调和凸函数的Hermite-Hadamard型不等式

在分析不等式中,Hermite-Hadamard型积分不等式占有重要地位.关于s-凸函数、对数凸函数等凸函数的Hermite-Hadamard型积分不等式已经得到并在不等式证明中广泛应用.本文利用算数调和凸函数的性质和H lder积分不等式,研究了算数调和凸函数的几个Hermite-Hadamard型积分不等式,并给出了特殊平均的一些应用.     

多普勒效应的系统研究

通过对大量关于多普勒效应的文献研究,总结出多普勒效应的特性;提出用瞬轴法研究多普勒效应的思想,然后采用瞬轴法研究了经典范围内各种情况的多普勒效应.避免了已有文献的方法不统一、变量繁多、过程复杂等不足;不仅揭示出它们之间的联系,而且更加突出多普勒效应的物理本质.     

Why history matters to philosophy of physics

Naturalized metaphysics remains the default presupposition of much contemporary philosophy of physics. As metaphysics is supposed to concern the general structure of reality, so scientific naturalism draws upon our best physical theories to attempt to answer the foundational question “par excellence ” viz., “how could the world possibly be the way this theory says it is?” A particular case study, Hilbert's attempt to analyze and explain a seeming “pre-established harmony” between mind and nature, is offered as a salutary reminder that naturalism's ready inference from physical theory to ontology may be too quick.     

Klein-Weyl's program and the ontology of gauge and quantum systems

We distinguish two orientations in Weyl's analysis of the fundamental role played by the notion of symmetry in physics, namely an orientation inspired by Klein's Erlangen program and a phenomenological-transcendental orientation. By privileging the former to the detriment of the latter, we sketch a group(oid)-theoretical program—that we call the Klein-Weyl program—for the interpretation of both gauge theories and quantum mechanics in a single conceptual framework. This program is based on Weyl's notion of a “structure-endowed entity” equipped with a “group of automorphisms”. First, we analyze what Weyl calls the “problem of relativity” in the frameworks provided by special relativity, general relativity, and Yang-Mills theories. We argue that both general relativity and Yang-Mills theories can be understood in terms of a localization of Klein's Erlangen program: while the latter describes the group-theoretical automorphisms of a single structure (such as homogenous geometries), local gauge symmetries and the corresponding gauge fields (Ehresmann connections) can be naturally understood in terms of the groupoid-theoretical isomorphisms in a family of identical structures. Second, we argue that quantum mechanics can be understood in terms of a linearization of Klein's Erlangen program. This stance leads us to an interpretation of the fact that quantum numbers are “indices characterizing representations of groups” ((Weyl, 1931a), p.xxi) in terms of a correspondence between the ontological categories of identity and determinateness.     

广义相对论中加速电荷的辐射

在文（１）的基础上得到了广义相对论加速电荷的电磁场的严格表达式,并计算了它的能量辐射。     

运动物体的场及其场的波动方程

为了明确地研究引力场和引力波的性质,提出了一种假设：电中性运动质量流、运动物体或变化的引力场可以激发一种场,这种场可以对在其中运动的物体施加力,这种场的变化可以激发引力场.之后提出了这种场与引力场的关系方程组,并且从这个方程组出发推导出波动方程,波中的三个矢量：引力场、这个新场和波传播方向矢量满足左手定则.此与电磁波中的电场矢量、磁场矢量和电磁波的传播方向满足右手定则形成明显的对照.     

既有朝阳嘉陵江大桥接触网悬挂安装研究

既有非电化铁路电气化扩能改造是当下中国铁路建设的重要方向。既有铁路桥上接触网悬挂安装设计是既有铁路电气化改造的重要一环,本文针对重庆枢纽既有朝阳嘉陵江大桥开展了接触网特殊悬挂安装研究,为国家重点建设项目节省了投资,缩短了建设工期。