plane pencil meaning in English

平面束

The application of space plane pencil of lines
空间平面直线束的妙用
In section one , based on theory of n dimensional euclid space , a new method labeled as " pointlineplane " recycling optimization algorithm is proposed to solve the linear programming problem . this algorithm is proposed on the basis of the thought as follovvs : as for three dimensional euclid space , the feasible region of any linear programming problem is a extended convex polyhedron , of which surface is consisted of some planes , and its objective function can be regarded as a parallel plane pencil with objective function value acting as parameter
第一部分内容是在n维欧氏空间理论的基础上提出了一种求解线性规划问题的新算法? “点线面”循环寻优法，本算法是基于如下思想提出来的：我们知道，在三维欧氏空间中，线性规划问题的可行域是一个由若干个平面围成的广义多面体，目标函数可以看作是以目标函数值为参变量的一个平行平面束。