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1)  transformation relation
变换关系
1.
The electric-field intensity of the charged straight line moving straightly along the perpendicular direction in uniform velocity is calculated by making use of the transformation relations of relativity.
本文利用相对论变换关系计算了沿直线的垂直方向匀速运动的带电直线的电场。
2.
The electric-field intensity of a charged straight line moving along the straight line with uniform velocity is calculated by the transformation relation of relativity theory.
本文利用相对论变换关系计算了沿直线方向匀速运动的带电直线的电场。
3.
This article calculated out the field intensity of a electric dipole uniformly moving along the axis of the dipole using the transformation relation in the relativistic theory.
本文利用相对论变换关系计算了沿轴线方向匀速直线运动的电偶极子的电场。
2)  vary relation
变换关系
1.
A vary relation on work of the thermodynamics system in relativity is presented; This paper points out that the work is composed of two parts: one is volume work and the other is resulted from relativity of simultaneity in relativity.
给出了相对论情况下热力学系统的变换关系式,指出在相对论情况下,热力学系统对外作的功由两部分组成:一部分是由于系统体积的变化直接引起的体积功,另一部分是由于在相对论情况下,同时性的相对性所产生的功。
2.
A vary relation on internal energy of the thermodynamics system in relativity is presented, and it points that internal energy of the thermodynamics system does not obey vary relation on relativistic energy.
给出了相对论情况下热力学系统内能的变换关系,指出热力学系统的内能不遵从相对论的能量变换关系,而是在原变换关系的基础上还应加上,由于相对论的同时性的相对性所引起的修正。
3)  converting relation of electromagnetic field
电磁场变换关系
1.
The self consistency of converting relation of electromagnetic fields in non relativity is discussed from the point of converting relation of electromagnetic fields in special theory of relativity.
从狭义相对论中电磁场的变换关系,讨论了非相对论情况下电磁场变换关系的自洽性问
4)  geometric transform relation
几何变换关系
5)  algebraic transformation relation
代数变换关系
1.
A simple algebraic transformation relation of a special type of solution was established between the nonlinear partial differential equation and the source equation by using leading analysis.
给出了构造非线性微分方程孤波解的一种方法,根据领头项分析,建立非线性微分方程与源方程一类特殊类型解的代数变换关系,利用该关系以及源方程的已知解,获得非线性微分方程的孤波解。
6)  space transformation relation
空间变换关系
补充资料:Radon变换和逆Radon变换


Radon变换和逆Radon变换


X线物理学术语。CT重建图像成像的主要理论依据之一。1917年澳大利亚数学家Radon首先论证了通过物体某一平面的投影重建物体该平面两维空间分布的公式。他的公式要求获得沿该平面所有可能的直线的全部投影(无限集合)。所获得的投影集称为Radon变换。由Radon变换进行重建图像的操作则称为逆Radon变换。Radon变换和逆Radon变换对CT成像的意义在于,它从数学原理上证实了通过物体某一断层层面“沿直线衰减分布的投影”重建该层面单位体积,即体素的线性衰减系数两维空间分布的可能性。
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