研究表明，通过借助于矢阵概念，在涉及多个坐标系时，张量的相对导数得到了更加清晰和严格地描述。

It was shown that with the help of vectrix one can treat the relative derivatives of a tensor more clearly and more rigorously when multiple reference frames were concerned.

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同时解决了曲面法矢垂直于回转平面时刀轴矢量难以确定的关键问题。

Also, a solution is offered to solve the problem of generating tool axis vector when the surface normal ts perpendicular to rotary plane.

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还指出仅当柱面或平面光栅时，才能形成二阶子午无离焦平场和弧矢无象散圆场谱面。

It is also shown that only when the gratings are cylinder or plane ones, the second order sagittal anastigmatic circular field and meridional non defocus flat field spectral images can be formed.

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