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Voici une phrase: "Une source de k symboles ayant une distribution P peut être asymptotiquement encodée avec H(P) bits en moyenne."

I'm wondering who to translate "Une source de".

I would translate it as "a text with k symbols where the frequency of the symbols follow the distribution P could be encoded with H(O) bits in average."

  • A source of k symbols? – Quidam Jan 14 at 8:21
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    I'm voting to close this question as off-topic because it asks for translating an expression from French to English and not the other way around. – Dimitris Jan 14 at 9:03
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Your translation isn't wrong – it's good English and it has the correct meaning. However, the usual information-theoretic English translation of une source would be a source.

This is Shannon's Source Coding Theorem.

I don't know whether, by de k symboles, you mean an alphabet of k different symbols, or k symbols in total. Assuming the second, I'd translate the whole thing as

k symbols from a source with probability distribution P can asymptotically be encoded using an average of H(P) bits per symbol.

I don't know why you don't say bits par symbole in French, but I can find a statement of the theorem online as

Théorème (Shannon):
Une source ayant une distribution P peut être asymptotiquement encodée avec H(P) bits en moyenne et pas mieux.

so it appears that in French, one doesn't always specify bits par symbole.

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