1.Let(a,b,c) be a primitive Pythagorean triple with a is even. In this paper we prove that if c is a prime power,then the equation x~2+b~y=c~z has only the positive integer solution(x,y,z)=(a,2,2) with y is even.
2.And when with a high pressure ultraviolet radiation mercuric lamp having 500W power,the sample acquired from precipitation exhibits the best activity. And with 0.1g catalyst,the chemical oxygen demand(COD) of 100ml SDBS solution with a primitive COD of 381mg/L is removed 98.8%.