Online JudgeProblem SetAuthorsOnline ContestsUser
Web Board
Home Page
F.A.Qs
Statistical Charts
Problems
Submit Problem
Online Status
Prob.ID:
Register
Update your info
Authors ranklist
Current Contest
Past Contests
Scheduled Contests
Award Contest
User ID:
Password:
  Register

Re:可以解释一下吗?

Posted by wpolly at 2007-05-27 18:32:21 on Problem 2129
In Reply To:Re:可以解释一下吗? Posted by:atlas_of_rruucc at 2004-12-01 11:41:40
转换成z=x+iy和z'=x-iy的多项式就可以理解了
> 令F={f(x,y)},f(x,y)=(x^i)*(y^j),i+j<=d
> 它们是线形无关的当且仅当i,j互不相等
> 
> 所以Invariant Polynomials组成的the vector space的dimension等于 |F|
> 且在F中有限定条件: f (x cos α - y sin α, x sin α + y cos α) = f (x, y) 
> 
> 然后利用极坐标或者复数的性质可以证明:
> f (x cos α - y sin α, x sin α + y cos α) = f (x, y) <=> n| i-j
> 
> 所以|F| = number of (i, j) s.t. i+j<=d and n|i-j

Followed by:

Post your reply here:
User ID:
Password:
Title:

Content:

Home Page   Go Back  To top


All Rights Reserved 2003-2013 Ying Fuchen,Xu Pengcheng,Xie Di
Any problem, Please Contact Administrator