f******k
发帖数: 297 | 1 Let a,b,c be vectors in R^n and e be a positive scalar with e<1.
Suppose we have |a-b| <= e|a| and <= -e|b||c| where |.| is the
Euclidean norm and <.> is the inner product, then prove the following
inequality: <= e|b||c|.
I proved it by some messy calculations, but is there a simple way
to do it? Thanks a lot! | f******k
发帖数: 297 | 2 just found out that there is a simple geometry proof using
Apollonius circle...
【在 f******k 的大作中提到】
: Let a,b,c be vectors in R^n and e be a positive scalar with e<1.
: Suppose we have |a-b| <= e|a| and <= -e|b||c| where |.| is the
: Euclidean norm and <.> is the inner product, then prove the following
: inequality: <= e|b||c|.
: I proved it by some messy calculations, but is there a simple way
: to do it? Thanks a lot!
|
|
