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Equation 8 · Part 1 · Measuring Claude Code and Agentic Development Tools: Evidence, Benchmarks, and Uncertainty

Symbol T

T(t)  ≈  T0⋅2t−t0τ,τ≈7 months,T(t) \;\approx\; T_0 \cdot 2^{\frac{t - t_0}{\tau}}, \qquad \tau \approx 7\ \text{months},
TT

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.

Where the article explains it

where T(t) is the time-horizon at date t and τ\tau is the empirical doubling period.

The passage around this formula

Treated as a growth model rather than a guarantee, the trend can be written as T(t)  ≈  T0⋅2t−t0τ,τ≈7 monthsT(t) \;\approx\; T_0 \cdot 2^{\frac{t - t_0}{\tau}}, \qquad \tau \approx 7\ \text{months}. where T(t) is the time-horizon at date t and τ\tau 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…

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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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