Not a typo; nor any mistake. You are so lost. :)

Yes, sinc(x) is non-negative definite, because its Fourier Tran
 
来源: career 于 2015-03-07 06:42:57 [档案] [转至博客] [旧帖] [给我悄悄话] 本文已被阅读:1 次 (212 bytes)
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回答: You are as right here as your "sinc(x) is NND". What a joke. 由 weston 于 2015-03-07 06:10:39
Yes, sinc(x) is non-negative definite, because its Fourier Transform, FT(sinc(x)), is non-negative.

If it sounds "joke" to you, you need to dust off your math textbook.

:)

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see my Bochner comment above. Your behavior continues to prove m -weston- 给 weston 发送悄悄话 weston 的博客首页 (0 bytes) () 03/07/2015 postreply 06:57:40

:))) -career- 给 career 发送悄悄话 (523 bytes) () 03/07/2015 postreply 07:14:41

Instead of spitting nonsense here, you should go to understand B -weston- 给 weston 发送悄悄话 weston 的博客首页 (39 bytes) () 03/07/2015 postreply 09:08:04

More likely, you misquoted that guy. :) -career- 给 career 发送悄悄话 (64 bytes) () 03/07/2015 postreply 09:18:39

Your memory of constructing positive definite funciton is failin -weston- 给 weston 发送悄悄话 weston 的博客首页 (101 bytes) () 03/07/2015 postreply 09:41:18

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 11:19:23

No. But the integral takes place over the entire space. Silly -weston- 给 weston 发送悄悄话 weston 的博客首页 (0 bytes) () 03/07/2015 postreply 11:22:38

Then look at your insisting on including the zero-valued subspac -career- 给 career 发送悄悄话 (125 bytes) () 03/07/2015 postreply 11:29:43

You learned Fourier by skipping all non-zero values of a functio -weston- 给 weston 发送悄悄话 weston 的博客首页 (0 bytes) () 03/07/2015 postreply 11:42:21

Show me where I did that? :) -career- 给 career 发送悄悄话 (0 bytes) () 03/07/2015 postreply 11:48:47

Out of (-.5, 0.5), rect's Lebesgue measure is zero:) -career- 给 career 发送悄悄话 (200 bytes) () 03/07/2015 postreply 12:16:05

Repeat one more time: Go and study Bochner Theorem (actually -weston- 给 weston 发送悄悄话 weston 的博客首页 (35 bytes) () 03/07/2015 postreply 12:26:42

Bochner/ Lebesgue won't CYA :) -career- 给 career 发送悄悄话 (813 bytes) () 03/07/2015 postreply 12:40:48

Gave you the math definition already. Your comment adds nothing -weston- 给 weston 发送悄悄话 weston 的博客首页 (0 bytes) () 03/07/2015 postreply 13:07:01

Got your "Say it the 3rd time, rec funcition is a step function. -career- 给 career 发送悄悄话 (80 bytes) () 03/07/2015 postreply 13:10:25

Too bad, you can't read math -weston- 给 weston 发送悄悄话 weston 的博客首页 (0 bytes) () 03/07/2015 postreply 14:22:16

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