MOL Analysis of the Adhesion between the Film and Substratein the Surface Engineering;

Kantorovich methodand MOL,are applied to the high gradient problems in [1].

The spline function method of lines is used in analyzing nonlinear problems of cylindrical shells.

In this paper, the method of lines is applied for solving viscoelastic mechanics.

Characterizing hypersurfaces of generalized rotation through its normal lines;

However, it is one of the topics worthy of study that how the results of GPS survey that is based on the normal line can be converted to be compatible with the traverse survey inside tunnels that is based on the plumb line, so as to minimize the influence of the plumb line deflection on the transverse break-through accuracy of tunnels.

Use morse theory give other proof of homatopy type of CW-complex of quaterwionic projective n-space HP~n and proof that is minimal,and give scalar characteristic of normal lines of HP~n.

Based on reflection law of the light,the normal direction angle of reflect mirror in the three-dimen-sional space was deducted under the precondition of direction angles for incident light and reflect light,and the mathematic model was built,the mathematic derivation was done.

Through author s numerous practical operations,the way in employing normal in landform rectification is advanced.

Using the normal gives the differential equations and their solutions with regard to the problems of the converse proposition on the optics properties of circular cone curves, and using the normal plane explains conditional extreme value.