Let me rephrase my sequence. Create a sequence of 256 consecutivebytes, with the first byte having the value of 0, the second bytethe value of 1, ... and the last byte the value of 255. If youmeasure the entropy (according to Shannon) of that sequence of 256bytes, you have maximum entropy.

`I so often get irritated when non-physicists discuss entropy. The`

`word is almost always misused. I looked at Shannon's definition and`

`it is fine, from a physics point of view. But if you apply`

`thoughtfully to a single fixed sequence, you correctly get the answer`

`zero.`

`If your sequence is defined to be { 0, 1, 2, ..., 255 }, the`

`probability of getting that sequence is 1 and of any other sequence,`

`0. Plug it in.`

`If you have a generator of 8-bit random numbers and every sample is`

`independent and uniformly distributed, and you ran this for a`

`gazillion iterations and wrote to the list one day saying the special`

`sequence { 0, 1, 2, ..., 255 } had appeared in the output, that's a`

`different story. But still, we would talk about the entropy of your`

`generator, not of one particular sequence of outputs.`

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