Discussion about Some Questions of the Profile Line

This paper discusses some questions about the profile line of space geometry,such as the judgement of the parallelism of the two profile lines with the same directions and the visibility about the skew lines and the reappeared points of profile lines, which make the solution of some questions in space geometry more easy than those commonly used.     

The Algorithm of Reduced Dimension forQuadratic Programming with Equality Constraints

In this paper,based on reference a method to solve the problem with equality constraints is given.A new approach for solving these problems is obtained,the number of dimensions of corresponding system or equations is less than that of the classic Lagrangian multiplier approximation.Using nonlinear equality constraints,the approximate algorithm is obtained.Moreover,the numerical difficulty is reduced by means of the new algorithm.