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MathGroup Archive 1996

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Fourier and 0 and N

  • To: mathgroup at smc.vnet.net
  • Subject: [mg4931] Fourier and 0 and N
  • From: Michael Schaferkotter <schaferk at tennessee.nrlssc.navy.mil>
  • Date: Fri, 4 Oct 1996 00:17:59 -0400
  • Organization: sverdrup technology inc.
  • Sender: owner-wri-mathgroup at wolfram.com

greetings:

as most know, Fourier requires a numerical argument.

Fourier[{1,1}] simply returns itself.

However 

Fourier[N[{1,1}]] returns

{1.41421 + 0. I, 0. + 0. I}.


Now

Fourier[{0,0}] returns itself, as above

however

Fourier[N{0,0}]] also returns itself.

but

Fourier[{0.0,0.0}] returns

{0. + 0. I, 0. + 0. I}


the behaviour of Fourier[N{0,0}] does not seem to be expected.

is there something about 0 here that i am not understanding?

this came up using Chop and Fourier.

also

please explain

Sqrt[2] > 2 returns

Sqrt[2] > 2

while 
 
Sqrt[0] > 0 returns

False.

sincerely,

m. r.

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