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Equation 4 · Part 2 · The Hardest Unsolved Problems in Open-Weight AI

Symbol q^N

P(at least one surviving copy)=1−qN.P(\text{at least one surviving copy}) = 1 - q^{N}.
qNq^{N}

What this part means

qNq^N is one of the signed contributions combined to compute the quantity on the left.

Its job in the formula

qNq^N is one of the signed contributions combined to compute the quantity on the left.

The passage around this formula

…probability of control. If N copies exist and each copyholder independently retains theirs with probability q close to one, the probability that every single copy is eventually deleted or brought back under control is qNq^{N} , so the probability that at least one copy survives indefinitely is P(at least one surviving copy)=1−qNP(\text{at least one surviving copy}) = 1 - q^{N}. This is a deliberately simplified model — real retention decisions are not independent, and q is not a single fixed number — but it isolates the right variable. Because copying an already-downloaded…

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Learn the underlying idea

An exponent tells how a base is used in multiplication. In x³, x is the base and 3 is the exponent: x³ = x × x × x.

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Sources cited in the article section

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