In this paper, the convergence of coordinate rotating algorithm, a united algorithm for computing elementary functions, has been proved by expanding the definition of normal series.

With the fast development of Very Large Scale Integrated circuites, hardware is often used in the quick and accurate trigonometric function calculation Coordinate Rotation Digital Computer(CORDIC) can disassemble complex operations which are hardly achieved by the hardware circuit directly into unitive plus-minus and shift operation, decreasing the complexity of the hardware design.

The application of coordinate rotation command in the NC finish machining of elliptic surface;

Based on the characteristics of 3C seismic data, the paper carried out the practical study of several key techniques in 3C converted wave seismic data processing, including coordinate rotation of horizontal component of converted wave, computation of common converted point (CCP) of converted wave, static correction and residual static correction of converted wave, iterativ.

We have researched a method of coordinate rotation of 3D converted wave data, binning and calculating 3D converted point, that is to make coordinate rotation for all seismic traces in each gather of converted wave common-shot point.

Physical model and mathematical model of doubly-fed brushless machine based on slip frequency rotary coordinate system;