# File:Fourier heat in a plate.png

Original file(2,932 × 2,752 pixels, file size: 56 KB, MIME type: image/png)

 Description English: Heat distribution in a metal plate, using Fourier's method. Bahasa Melayu: Pengedaran panas di sebuah plat logam, menggunakan kaedah Fourier. Basa Sunda: Distribusi panas dina hiji pelat métal, ngagunakeun métoda Fourier. Date 15 February 2008 (original upload date) Source Own work Author Loisel at English Wikipedia

## Licensing

 This work has been released into the public domain by its author, Loisel at English Wikipedia. This applies worldwide.In some countries this may not be legally possible; if so:Loisel grants anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

## Creation

This file was created with MATLAB

```f = @(x,y,n) 2*(((-1).^(2:n+1))./((1:n).*sinh((1:n).*pi))) ...
* (sin((1:n)'*x).*sinh((1:n)'*y));
ys = 0:0.01:pi;
g = [];
for y = ys
n = max(20,min(100,-10*log(pi-y)/(pi-y)));
g = [g; f(ys, repmat(y, 1, length(ys)), n)];
end
g(end, :) = ys';
imagesc(ys,ys,g(end:-1:1,:));
colormap hot
axis square
axis off
print('-dpng',  '-r600', 'Fourier heat in a plate')
```

The original description page was here. All following user names refer to en.wikipedia.
• 2010-01-02 10:24 Fastily 409×410× (20774 bytes) Crop out whitespace
• 2008-02-15 22:32 Loisel 672×504× (12407 bytes) Had to flip MATLAB's silly y coordinates.
• 2008-02-15 22:24 Loisel 875×672× (13817 bytes) {{Information |Description= |Source=self-made |Date= |Location= |Author=~~~ |Permission= |other_versions= }} MATLAB snippet: f=@(x,y,n) 2*(((-1).^(2:n+1))./((1:n).*sinh((1:n).*pi))) ... * (sin((1:n)'*x).*sinh((1:n)'*y)); ys=0:0.01:pi; g=[]; for y=ys

## File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current22:31, 25 April 20162,932 × 2,752 (56 KB)NicoguaroCrop image.
22:28, 25 April 20164,800 × 3,600 (78 KB)NicoguaroChange in colormap and higher resolution
01:51, 15 May 2010409 × 410 (20 KB)File Upload Bot (Magnus Manske) {{BotMoveToCommons|en.wikipedia|year={{subst:CURRENTYEAR}}|month={{subst:CURRENTMONTHNAME}}|day={{subst:CURRENTDAY}}}} {{Information |Description={{en|MATLAB/Octave snippet: f=@(x,y,n) 2*(((-1).^(2:n+1))./((1:n).*sinh((1:n).*pi))) ... * (sin((1:n)'
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