On the Invariant Transformation of Electromagnetic Field and Wave Equations 关于电磁场方程和电磁波方程的不变性变换
Existence of invariant plane through the origin for homogeneous vector field of degree two in r  ̄ 3 R~3中二次齐次向量场过原点的不变平面的存在性
Studied the actions of Lie groupoids on its Inner subgroupoids, proved the result that its Maurer-Cartan forms acting on left invariant vector field is a constant. 研究了李群胚在其内子群胚上的作用,并证明了李群胚上的Maurer-cartan形式在其任意左不变向量场上作用的结果为常数。
Research of pulse sequence in invariant gradient field MRI 恒定梯度场磁共振成像脉冲序列研究
The locally gauge invariant mean field approach is generalized from Abelian gauge groups to non-Abelian gauge groups. The SU ( 2) Yang-Mills-Higgs field coupling system is analyzed. 本文将定域规范不变的平均场方法由分立的阿贝尔群情况推广至非阿贝尔连续群情况,计算了SU(2)Yang-Mills场和Higgs场耦合系统的相图。
In this study, a new magnetic resonance ( MR) fast imaging method in the invariant gradient field is presented. 本研究提出了恒定梯度场下磁共振快速成像的方法。
The method of simulating a helically invariant magnetic field 螺旋对称磁场的模拟方法
A locally gauge invariant mean field study of the Yang-Mills-Higgs field coupling system on lattice 定域规范不变的平均场方法讨论格点上的Yang-Mills-Higgs场耦合系统
In the paper, we discuss the relations among the left invariant vector field, the parallel vector field and the Jacobi field, get a sufficient and necessary condition for a Lie group to be flat. 讨论了李群G上的左不变向量场、平行向量场与Jacobi场之间的关系,得到了G为平坦的一个充要条件。
Quantization of Robertson-Walker geometry coupled to a conformally invariant scalar field 与共形不变标量场耦合的Robertson-Walker几何的量子化
In this paper the differential equation of a helically invariant magnetic field is derived, and the method of simulating this type of field is analyzed in detail. 本文推导了所要模拟的螺旋对称磁场的磁面方程,详细地研究了这种磁场的模拟方法。
Friedmann robertson walker cosmological models with conformally invariant scalar field 以共形不变标量场为源的Friedmann-Robertson-Walker模型
A new moment invariant method was presented to evaluate the flow field within weather radar echo. 介绍一种用矩不变量跟踪天气雷达回波,以估测回波区域内部流场的方法。
On the basis of paper [ 4], the equivalence of the necessary and sufficient conditions is proved, and local coordinate representations of left invariant symplectic structure and symplectic left invariant vector field on the Symplectic-Lie group are given. 在文[4]的基础上,证明了X∈S(G,dω)的两个充要条件的等价性,还给出了辛李群上左不变辛结构和辛左不变向量场的局部坐标表示。
Theorem ⅱ The IBN property of an algebra is invariant under extending the base field. 定理Ⅱ代数的IBN性质是基域扩张下的不变性质。
In the article, the research situation, character and shortage of geometric attacks invariant watermarking algorithm and wavelet field watermarking algorithm are analyzed firstly. And the fundamental concept, general model, classic algorithm are introduced. 本文首先分析了抗几何攻击数字水印算法和小波域数字水印算法的研究现状、特点及不足,介绍了数字水印的基本概念、一般模型、典型算法。
This paper provides the exact solution of the Einstein's field equations corresponding to the Friedmann Robbertson Walker Models with conformally invariant scalar field, which is equal to the solution with the sourse of radiation when a singularity exists. 本文给出了以共形不变标量场为源的FrledmannRobertsonWalker模型所对应的Einstein场方程的严格解。在存在奇点时,这个解相当于以辐射场为源的解。
The physical properties are invariant when the potential of electromagnetic field is changed. 如果改变描述电磁场的势,则体系的物理性质仍保持不变。
Wormhole solutions of the wheeler-de Witt equation with an invariant scalar field 物质场为共形不变标量场的Wheeler-deWitt方程的虫洞解
Extracting or construction of the invariant features is one of the key technologies in the field of pattern recognition and computer vision. 图像不变量特征的提取与构造是模式识别和计算机视觉领域中的关键技术之一。
Gauge invariant of the electromagnetic field and degrees of freedom of gauge 电磁场规范不变性与规范自由度
Invariant features extraction of typical targets is a key issue in the field of targets recognition. 典型目标的稳定特征提取是目标识别领域一个非常有意义的研究内容。
A discussion on the methods for determining the invariant of the electromagnetic field 电磁场的不变量的求证方法讨论
On the invariant function of cooperative and irreducible vector field 关于合作向量场的不变函数
Algebra form is an important, basic concept in mathematics. The algebraic invariant is an important subject in mathematical field; and it is an important tool to other fields. 代数型是数学中重要的基本概念,代数不变量是代数学的重要研究对象之一,也是数学与其它领域研究与应用的一个重要工具。
In this paper, we review the work in the global attractive set and positive invariant set of chaotic dynamical systems during past years and give an overview of this active field up to now. 在本文中,笔者对混沌动力系统的全局吸引集和正向不变集的研究背景进行了回顾,对这一热门领域近几年的研究现状进行了综述。