<=> sigma [a^2/(1+a^2)] >= 3/10
柯西 => 10(a^2+b^2+c^2)^2>=3(a^2+b^2+c^2)(a+b+c)^2 + 3(a^4+b^4+c^4)
<=>sigma [[(a-b)^2+a^2+b^2+3c^2](a-b)^2]>=0
柯西 => 10(a^2+b^2+c^2)^2>=3(a^2+b^2+c^2)(a+b+c)^2 + 3(a^4+b^4+c^4)
<=>sigma [[(a-b)^2+a^2+b^2+3c^2](a-b)^2]>=0
![](http://imgsrc.baidu.com/forum/pic/item/43a7d933c895d14397d8607e73f082025baf07c4.jpg?v=tbs)