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Date Posted: 20:21:54 01/24/04 Sat
Author: pshaughn
Subject: Re: a question about pudding
In reply to: pshaughn 's message, "Re: a question about pudding" on 20:15:09 01/24/04 Sat

>>If all the pudding in/of the universe were to be
>>stored in an nxn matrix, would the matrix be
>>invertible?
>
>There are more than 2 dimensions in the universe, so
>you'd have to use some sort of mapping to put it in a
>matrix, and the invertibility would depend on the
>mapping.

It occurs to me that the most obvious mappings would consist of projecting onto a 2d plane, cropping to finite area as tightly as possible without excluding any pudding, and quantizing at the pixel level... I strongly suspect that for infinitely many such planes it'd be invertible, but I don't know if it'd be non-invertible for infinitely many, finitely many, or zero. Possibly it'd depend on the point in time at which one takes the projection.

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