Quadratic forms or symmetric matrices?

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查了一下,和matrix有关,positive definite比较容易理解,non positive definite不容易理 -flagsix- 给 flagsix 发送悄悄话 (6 bytes) () 03/06/2015 postreply 17:01:40

比如 0-矩阵 -weston- 给 weston 发送悄悄话 weston 的博客首页 (0 bytes) () 03/06/2015 postreply 17:03:25

It is also non-negative definite. -career- 给 career 发送悄悄话 (41 bytes) () 03/06/2015 postreply 20:27:07

You don't get it. No surprise here. -weston- 给 weston 发送悄悄话 weston 的博客首页 (0 bytes) () 03/07/2015 postreply 06:14:59

I got your not-so-good math skill. :) -career- 给 career 发送悄悄话 (0 bytes) () 03/07/2015 postreply 06:59:58

In term of symmetric matrices -BeLe- 给 BeLe 发送悄悄话 BeLe 的博客首页 (231 bytes) () 03/06/2015 postreply 18:00:39

学习了, 多谢! -flagsix- 给 flagsix 发送悄悄话 (0 bytes) () 03/06/2015 postreply 18:09:07

The opposite of positve is negative. Non-positve symmetric -weston- 给 weston 发送悄悄话 weston 的博客首页 (160 bytes) () 03/06/2015 postreply 18:15:59

It's only wrong b/c you missed the context. -weston- 给 weston 发送悄悄话 weston 的博客首页 (0 bytes) () 03/06/2015 postreply 21:23:03

Your old defense trick again! :) -career- 给 career 发送悄悄话 (0 bytes) () 03/06/2015 postreply 21:27:41

You are as right here as your "sinc(x) is NND". What a joke. -weston- 给 weston 发送悄悄话 weston 的博客首页 (0 bytes) () 03/07/2015 postreply 06:10:39

Yes, sinc(x) is non-negative definite, because its Fourier Tran -career- 给 career 发送悄悄话 (212 bytes) () 03/07/2015 postreply 06:42:57

Bochner calls it "positive definite", not "NND". Get a better te -weston- 给 weston 发送悄悄话 weston 的博客首页 (0 bytes) () 03/07/2015 postreply 06:56:21

FT(sinc(x)) becomes zero at lots of points, doesn't it? -career- 给 career 发送悄悄话 (53 bytes) () 03/07/2015 postreply 07:06:36

Sigh. You don't understand the proof of the Bochner Theorem. Go -weston- 给 weston 发送悄悄话 weston 的博客首页 (0 bytes) () 03/07/2015 postreply 09:05:12

You don't need more "proof"--it's by the definition! :) -career- 给 career 发送悄悄话 (0 bytes) () 03/07/2015 postreply 09:15:36

Surprised anyway would hire someone like you who doesn't know -weston- 给 weston 发送悄悄话 weston 的博客首页 (78 bytes) () 03/07/2015 postreply 09:44:02

You forgot any integral over a zero-valued set yields zero. :) -career- 给 career 发送悄悄话 (62 bytes) () 03/07/2015 postreply 11:18:28

Your step function is not zero over an open interval. Check Four -weston- 给 weston 发送悄悄话 weston 的博客首页 (0 bytes) () 03/07/2015 postreply 11:21:46

It's a rectangular function--not a "step"! -career- 给 career 发送悄悄话 (67 bytes) () 03/07/2015 postreply 11:33:18

Wikipedia "rectangular function, the next simplest step function -weston- 给 weston 发送悄悄话 weston 的博客首页 (0 bytes) () 03/07/2015 postreply 11:40:53

hoho, you even need Wiki for that! :) -career- 给 career 发送悄悄话 (168 bytes) () 03/07/2015 postreply 11:46:47

For your conenience only, since you had idea step functions cove -weston- 给 weston 发送悄悄话 weston 的博客首页 (0 bytes) () 03/07/2015 postreply 11:57:00

I have the rectangular. it is you who "mis"-"step":))) -career- 给 career 发送悄悄话 (567 bytes) () 03/07/2015 postreply 11:59:34

你这是 "白马非马" 的现代版 -weston- 给 weston 发送悄悄话 weston 的博客首页 (0 bytes) () 03/07/2015 postreply 12:03:16

Stay in math,pls. :) -career- 给 career 发送悄悄话 (0 bytes) () 03/07/2015 postreply 12:19:30

:( -career- 给 career 发送悄悄话 (38 bytes) () 03/06/2015 postreply 20:38:52

was already said -weston- 给 weston 发送悄悄话 weston 的博客首页 (0 bytes) () 03/06/2015 postreply 21:24:44

This? :) -career- 给 career 发送悄悄话 (677 bytes) () 03/06/2015 postreply 21:47:52

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