Complex analysis ||z1| - |z2|| ...
Favorites|Homepage
Subscriptions | sitemap
HOME > > Complex analysis ||z1| - |z2|| ...

Complex analysis ||z1| - |z2|| ...

[From: ] [author: ] [Date: 12-09-11] [Hit: ]
......
Show ||z1| - |z2|| <= |z1 - z2| HELP :/

-
|z₁| = |z₁ - z₂ + z₂| ≤ |z₁ - z₂| + |z₂|
⇒ |z₁| - |z₂| ≤ |z₁ - z₂|,
and
|z₂| = |z₂ - z₁ + z₁| ≤ |z₁ - z₂| + |z₁|
⇒ |z₂| - |z₁| ≤ |z₁ - z₂|,
so therefore
||z₁| - |z₂|| ≤ |z₁ - z₂|.
1
keywords: Complex,analysis,Complex analysis ||z1| - |z2|| ...
New
Hot
© 2008-2010 http://www.science-mathematics.com . Program by zplan cms. Theme by wukong .