Talk:Gaussian function
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Do we mean to say that
- gaussian functions are eigenfunctions of the Fourier transform,
or that
- eigenfunctions of the Fourier transform are gaussian functions
or neither? -- Miguel
Not all eigenfunctions of the Fourier transform are Gaussian. See Hermite polynomials. Michael Hardy 15:10, 30 Aug 2003 (UTC)
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[edit] maximum entropy
Could someone add something about Gaussian functions being the ones with maximum entropy? I think this can also be related to the Heisenberg uncertainty principle since momentum and position are canonical conjugate variables.
- This article links to normal distribution, which I suspect already gives that information. For non-normalized Gaussian functions, I'm not sure at this moment what the maximum-entropy statement would say. Michael Hardy 23:46, 27 Feb 2005 (UTC)
[edit] image
are they all the same bell-shape? if so, let's get a picture! - Omegatron 17:51, Mar 15, 2005 (UTC)
[edit] Definition of μ,σ
The function definition uses a,b,c as parameters, while the graph uses μ,σ as parameters. What is the relation between the two sets of parameters?
--NeilenMarais 20:18, 24 May 2006 (UTC)
- Answering myself, it seems from looking at Gaussian function that
, b = μ and 
. One could mention this, or perhaps even better, generate an image using the correct parameters. Opinions? --NeilenMarais 20:27, 24 May 2006 (UTC)
Not entirely correct. Not all Gaussian functions are probability density functions, so a need not be a normalizing constant that makes the integral equal to 1.
But certainly I think the caption should explain the notation used in the illustration. Michael Hardy 21:29, 24 May 2006 (UTC)
[edit] Gaussian Function ..
Would I be correct if i said that a gaussian function as such represents the values a variable can have .............that is to say ......it gives us a range of possible values of the variable , or it shows the region were the value of that variable lies ......
Is that what the Gaussian function does ... —The preceding unsigned comment was added by Hari krishnan07 (talk • contribs) 04:36, 3 December 2006 (UTC).
- Not directly. The gaussian function is the name for a function with specific properties e.g. as illustrated in the curves in the article. What you refer to is a probability distribution and can have the form of a gaussian Kghose 16:01, 16 December 2006 (UTC)
A function of the form 
are some kind of Gaussian functions?? --Karl-H 11:12, 27 January 2007 (UTC)
- I think not. This is related to Gaussian functions of course, but a true Gaussian function should not have the x^{2m} term in front. Oleg Alexandrov (talk) 18:41, 27 January 2007 (UTC)
