The important diversence theorem of electrognetic find stless tensor can be derived shoply if the four dimensional field stress and four dimenional Lorentz force are expressed with appropriate exterior differential forms.
用外微分式表达四维Lorentz力电磁场应力,导出两者之间符合守恒定律要求的关系式。
This paper , through discussing the exterior differential of differential form, de-rives the representations of gradient,divergence,rotation and eaplacian in orthogonal curvi-linear coordinate system by means of exterior differential method.
本文通过讨论微分形的外微分,用外微分法推导梯度、散度、旋度和Laplace算符在正交曲线坐标系中的表达
Taking hamiltonian equations,conservative law and ca- nonical transformation as examples in the paper,the author proved that hamiltonian version and exterior differential version are equivalent.
近年来用外微分形式来表述,推导物理定律和公式,已逐渐流行,它几乎可应用于大多数物理领域,本文以动力学中的正则方程,守恒定律,正则变换为例给出它在经典力学中的应用。
Some characteristics and its applications of the exterior derivative and exterior algebra;
外代数与外微分的若干性质及其应用
Some basic relations of hydrostatics were educed with character of exterior derivative.
并利用外微分的性质 ,导出了流体静力学的一些基本关
The neutrino equation under the Robertson Walker metrtic is given and separated by the exterior derivative,which provides a convenient tool for the study of the curved space spinor field.
利用外微分给出了Robertson-Walker度规下的中微子方程并分离了该方程,为弯曲时空旋量场的研究提供了方便。
Traditionally, the word wangliang has three different meanings: unsettledness, penumbra and elf.
“罔两”一词历来向有“无据依”、“景外微阴”及“精怪”三义。
The exterior differential form was pointed out to be the mathematical model of a lot of proposition in field theory.
建立了外微分理论与场论之间的一些对应法则,指出外微分形式是场论中众多命题的数学模型,得到用外微分运算解决场论中梯度、旋度、散度以及环量与通量的计算和几种重要的矢量场:梯度场、旋度场、调和场证明的新方法。
Thenecessity and urgency were discussed that exterior differential form and some content of mordenmathematics were introduced in teaching.
对当前高等数学课教学内容严重滞后的现状作了系统分析,论述了在教学中引入外微分形式及当代数学部分内容的必要性和紧迫性。
This paper introduces the concept of Finslerian exterior differential form and two exterior differential operators dh,dv,which are different from the general theory of Cartan s.
本文提出了一种与加当外微分法不同,但适用于芬斯拉几何的外微分理论,包括芬斯拉外微分形式与两个外微分算子dh,dv。
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