The author establishes the molecular helix plane equation in leptospira model in order to figure out dihedral angle to instead of torsion angle of X-ray diffraction structure test, and explains the common applying circumstances of dihedral angle.

By plane equation,the proposition that the indices of lattice planes must have no common factor is proved.

Based on Gleason machine tool,the tooth face function of gear by kine matics method and meshing function is deduced.

Based on Gleason machine tool, the tooth face function of gear by kinematics method and meshing function is deduced.

Build up profile equations of arc- surfaced cam with the application of envelope theory;

Analytical method of profile equation of cam mechanism with translating conical follower;

It advanced a kind of new kind planar eveloped globoidal indexing cam mechanism and derived cam profile equations,engagement equations and two types of boundary curve equations of that mechanism.

The surface equation of a plate bended by line heating was developed.

Objective To obtain more accurate corneal surface equations for myopes through surface meshing of both the anterior and posterior surfaces of the cornea,3D coordinate measurements,acquisition and analysis.

To master the law of common surface equation,not only can easily establish a space graphics,but can lay a solid basis for learning multi-function.

The Process simulation software based on equation-oriented technique can only be used by experts but not by most engineers.