Equation 3 · Part 7 · How AI Security Defenses Actually Work
superscript
superscript
What this part means
A raised number can be a power. When it is a label or bound, it selects a case or the upper limit of a sum; the formula’s structure distinguishes these uses.
Its job in the formula
A raised mark can be a power or an index. Its position and the surrounding notation determine which.
Full expression→superscript→Article meaning
The passage around this formula
The shared structural fact underneath both techniques, and the reason they are described here as one machine rather than two, is what a search process buys once it is automated rather than performed by hand. A single human red-teamer trying prompt variations by hand might realistically test dozens of candidates against a target in a working day. An automated pipeline built on either GCG- or PAIR-style search can attempt thousands of candidates against a running target in the same interval, entirely unattended. If a given search strategy succeeds against a defended target with independent per-attempt probability p , the probability that at least one of k automated attempts succeeds is…
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 surrounding passage
These citations provide research context; check each source for the exact claim it supports.