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No, 'updated' refers to them adding more entropy to the original seed generated by the Sun SeedGenerator. It does not mean a new seed is used for each card dealing round unfortunately. Please re-read the passage.

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Ok, let's analyze the English. The passage is largely a discussion of the seeding method used and how entropy is inserted. Then after describing how the seed is constantly updated, they say:

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This updated seed is then used for dealing cards during each card dealing round.

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So it's not just a seed, it's This updated seed, the one just described as contantly updated.

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This updated seed is then used for dealing cards during each card dealing round.

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So this freshly updated seed is used to deal cards; it is not used to generate a deck, it is used to deal cards. When is it used to do this?

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This updated seed is then used for dealing cards during each card dealing round.

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There are four dealing rounds per hand of holdem, so that makes it pretty clear that the seed which is used to generate the random cards is updated between each of the four rounds in holdem.

I think I've understood that sentence properly; where exactly do you disagree?