Complementing the Lagrangian Density of the E. M. Field and the Surface Integral of the p-v Vector Product

Considering the Lagrangian density of the electromagnetic field, a 4 × 4 transformation matrix is found which can be used to include two of the symmetrized Maxwell’s equations as one of the Euler-Lagrange equations of the complete Lagrangian density. The 4 × 4 transformation matrix introduces newly defined vector products. In a Theorem the surface integral of one of the newly defined vector products is shown to be reduced to a line integral.

《万能角度尺检定规程》若干问题的探讨

首先,简单地介绍了万能角度尺的定义及其主要类型;然后,从测量面的平面度、直尺和基尺测量面的平行度、直角尺外角的垂直尺、零位正确性和示值误差等方面分析了JJG 33-2002《万能角度尺检定规程》中存在的一系列问题,并给出了相应的修正意见;最后,对分度值为1′或0.5′的万能角度尺的误差确定方法进行了补充。