Equation 9 · Part 1 · Measuring Claude Code and Agentic Development Tools: Evidence, Benchmarks, and Uncertainty
Symbol T
What this part means
the time-horizon at date t.
Its job in the formula
T is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Full expression→Symbol T→Article meaning
Where the article explains it
where T(t) is the time-horizon at date t and is the empirical doubling period.
The passage around this formula
where T(t) is the time-horizon at date t and is the empirical doubling period. This is a compact way to state a real, fitted regularity — it is not a physical law, and the paper’s own authors flag that the fit is over a specific task suite combining two internal benchmarks and a small set of newly written short tasks, not over arbitrary production software work, and that the entire extrapolation depends on whether that suite’s difficulty profile actually resembles the tasks an organization needs done. Reading a doubling constant off a fitted curve and projecting it five years forward is a scenario, not a fact; the fact is the fitted curve’s shape over the period actually measured.
Learn the underlying idea
A function assigns an output to each allowed input. The expression f(x) means “apply f to x”.
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Sources cited in the article section
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