This paper defines the reconstruction of three dimension faultage surface, introduces the method of the shortest diagonal used in constructing this kind of 3D faultage surface, and explains the conditions which meets the needs of making up of the triangle slice.

When the preliminary material transfer plan is worked out by the table processing method, the sub-plan, which consists of every rectangular unit structured with 4 square checks in the table, can be further adjusted to the optimum by diagonal method.

Canter s proof of which real number set is not a countable aggregate is called the diagonal method.

Under some hypotheses,the diagonalization method is applied to study the existence of solution for a class of vector third differential systems with two point or three point boundary problem.

By using diagonalization method, this paper considers the existence and asymptotic behaivior of solution of the nonlinear Robin boundary value problem containing two small parameters,and obtaineds the uniformly valid asymptotic expansion of arbitrary order of the solution.

The analysis is based on the diagonalization method and the characteristic method.

The paper applies the method of the L-S coupling in the Pauli exclusion principle and gives a simple method to determine the atom states of equivalent double electrons through L-S interaction:Fold line along angle.