>>Dpi effectively changes the size an image will print at, relative to its 
 >>pixel density.

More accurately : dpi is a suggested default setting for the printer that would 
eventually print the image so that the image will be printed at the size 
specified in the file.
But first, ANY printer will know and be able to set itself its resolution in 
order to print an image at a specified size.
Second, it is not the task of the image creator to decide a priori which size 
the image should be printed. It is the user's choice.

There are actually 3 things embedded inside a jpeg image:
1. size in inches,
2. size in pixels,
3. pixels / inch
Every database manager will tell you that there is a data redundancy here and 
when there is a data redundancy, there is a risk od some contradiction 
somewhere.
If you need to specify the size the image should be printed, only the size in 
pixels and the size in inches should be necessary.
I know this is a standard, but this standard has been designed by morons.



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