Triangle Grid Independence And Feasibility Study

That Buffon throws the needle problem is a earliest geometry probability problem,says itis also that one has the typical maximal effect geometry probability problem in a certain senseBuffon problem comes out already having various extension is:The small needle is thrownrandomly the probability asking the small needle to meet with grid on the flat surface havingthe grid taking some convex domains as basic area in cloth. But,the solution of such problemsdepends on the study of containment measure.The kinematic measure of a moving domainthat is contained in a fixed domain is called a containment measureRen—Delin introduced the notions of generalized support function and restricted chordfunction of a convex body in the plane,and used them to establish a kinematic measure formulafor a segment of fixed length within a convex domain.He then applied this formula to solvegeneralized Buffon needle problems of lattices.Buffon question to answer,the first time in history opened the way for statistical estimatesofπ.As Buffon solution to the problem associatedπwith the probability of Buffon,thusstatistical estimation problem is actually Buffon probability statistical estimation As BuffonGrid situation to the promotion,there has been a corresponding statistical estimation problemIndependence and effectiveness of this is an important issue Document【1】studiedparallelogram rectangular grid and the independence and effectiveness,in the above-mentionedpaper based on the conclusions of the triangular mesh of the independence and effectiveness of anumber of studies Triangle mesh can be seen as three sets of parallel lines jntersect fromnetwork,its study of independence and effectiveness is more complicated than rectangular gridand parallelogram.This paper will contain Buffon problems with the measure,have beenarbitrary triangle mesh independent conditions by calculating the variance and the triangle mesh to the validity of the analysis,obtained with the parallel line network similar conclusions.