Talk:Fourier transform: Difference between revisions

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{{Done}} Fixed: the in-text citation used the year 1971, but the reference itself at the bottom of the page was 1970. I changed the in-text reference to 1970, which seems to be the correct year. This was a book in a multi-volume set, so I checked that the reference at the bottom is the one actually being referenced in the text, and it is (since chapter 7 is in volume 2). Good spot! This has been wrong ever since the citation was added ({{diff|Main Page|290492014|290494424|in-text citation added}}, {{diff|Main Page|290494424|290494694|reference added}}). [[User:Quietbritishjim|Quietbritishjim]] ([[User talk:Quietbritishjim|talk]]) 12:49, 25 April 2012 (UTC)
{{Done}} Fixed: the in-text citation used the year 1971, but the reference itself at the bottom of the page was 1970. I changed the in-text reference to 1970, which seems to be the correct year. This was a book in a multi-volume set, so I checked that the reference at the bottom is the one actually being referenced in the text, and it is (since chapter 7 is in volume 2). Good spot! This has been wrong ever since the citation was added ({{diff|Main Page|290492014|290494424|in-text citation added}}, {{diff|Main Page|290494424|290494694|reference added}}). [[User:Quietbritishjim|Quietbritishjim]] ([[User talk:Quietbritishjim|talk]]) 12:49, 25 April 2012 (UTC)

== Overemphasis on time as a variable ==

The article begins:
:"expresses a mathematical function of ''time'' as a function of frequency, known as its frequency spectrum" [italics mine]

Throughout time is emphasized, although in fact the transform applies to a function of ''any'' variable whatsoever. Most noticeably, the Fourier transform applies to functions of distance, and allows expansions in terms of components characterized by [[wavevector]].

The article does contain the section [[Fourier_transform#Fourier_transform_on_Euclidean_space|on space]], but this minor consideration does not convey the generality of the method, which should be made apparent at the beginning. [[User:Brews ohare|Brews ohare]] ([[User talk:Brews ohare|talk]]) 15:15, 26 April 2012 (UTC)

A very general discussion is found [http://books.google.com/books?id=P0oP3-cKtuIC&pg=PA138 here] in terms of distributions and test functions. [[User:Brews ohare|Brews ohare]] ([[User talk:Brews ohare|talk]]) 15:47, 26 April 2012 (UTC)

Revision as of 15:47, 26 April 2012

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Citation issue

FYI: I'm seeing a red warning message: Harv error: link to #CITEREFHewittRoss1971 doesn't point to any citation.

I dont have time to fix it now, but I thought Id post a notice. --Noleander (talk) 21:37, 24 April 2012 (UTC)[reply]

 Done Fixed: the in-text citation used the year 1971, but the reference itself at the bottom of the page was 1970. I changed the in-text reference to 1970, which seems to be the correct year. This was a book in a multi-volume set, so I checked that the reference at the bottom is the one actually being referenced in the text, and it is (since chapter 7 is in volume 2). Good spot! This has been wrong ever since the citation was added (in-text citation added, reference added). Quietbritishjim (talk) 12:49, 25 April 2012 (UTC)[reply]

Overemphasis on time as a variable

The article begins:

"expresses a mathematical function of time as a function of frequency, known as its frequency spectrum" [italics mine]

Throughout time is emphasized, although in fact the transform applies to a function of any variable whatsoever. Most noticeably, the Fourier transform applies to functions of distance, and allows expansions in terms of components characterized by wavevector.

The article does contain the section on space, but this minor consideration does not convey the generality of the method, which should be made apparent at the beginning. Brews ohare (talk) 15:15, 26 April 2012 (UTC)[reply]

A very general discussion is found here in terms of distributions and test functions. Brews ohare (talk) 15:47, 26 April 2012 (UTC)[reply]