  `Matt Mackall wrote:> No, it's a premise stated at the beginning of the thread. We're> assuming perfect distribution for x and y. The problem here is that x> and y can be dependent or independent. If they're independent, then> there's no issue. If they're dependent (for instance correlated or> anticorrelated) then x^y biases toward zero or one. Which clearly has> less entropy.Sure, but that only holds when you assume a specific mix ofindependence and dependence among the bits.(Bits within x are independent of each other, and also within y, whileat the same time x and y are dependent.)In general, bits from x^y do not have more bias towards zero or onethan bits from x or y alone.  Consider an extreme:   x = [ random_bit_0, random_bit_0 ]   y = [ random_bit_1, ~random_bit_1 ]Then:   entropy(x) = entropy(y) = 1   entropy(x^y)            = 2This is no more arbitrary a mix of dependence and independence thanyour assumption.-- Jamie-To unsubscribe from this list: send the line "unsubscribe linux-kernel" inthe body of a message to majordomo@vger.kernel.orgMore majordomo info at  http://vger.kernel.org/majordomo-info.htmlPlease read the FAQ at  http://www.tux.org/lkml/`   