Equation 7 · Part 2 · What Claude's Capability Evaluations Actually Measure
Symbol t
What this part means
t is an argument of the function-like quantity on the left; its role is set by that function’s stated inputs.
Its job in the formula
t is an argument of the function-like quantity on the left; its role is set by that function’s stated inputs.
Full expression→Symbol t→Article meaning
The passage around this formula
with b > 0 , so predicted success falls as human-equivalent task length grows. The reported time horizon at success level x is then the duration at which the fitted curve crosses that threshold, i.e. the t solving p(t) = x . Two things follow directly from this formulation that a single reported number obscures: the curve, not the crossing point, is the actual result, and a different chosen threshold x produces a different headline number from the identical underlying data.
Learn the underlying idea
A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.
Open the illustrated variables: a letter stands for a value guide →
See this notation across published equations →
Sources cited in the article section
- [7] Measuring AI Ability to Complete Long Tasks ↗
- [8] Task-Completion Time Horizons of Frontier AI Models ↗
These citations provide research context; check each source for the exact claim it supports.