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Equation 4 · Part 1 · Ten Failure Modes That Define the Open-Weight AI Ecosystem

Symbol p^n

pnp^n
pnp^n

What this part means

pnp^n is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Its job in the formula

pnp^n is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

The passage around this formula

…preserves a given desirable property — genuine safety training, license compliance, unmodified provenance — with independent probability p at each of n downstream forks, the probability that all n forks still have it is pnp^n , which falls quickly even when p is fairly high and n is modest; the releasing lab’s own diligence bounds only the first term. This is not a claim that any specific p or n has been measured for a real ecosystem — it has not, and Section 3 above is partly an argument that it cannot be, given…

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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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