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Equation 23 · Part 1 · The Economics and Physical Limits of Running AI Agents at Scale

Symbol gamma

γ≈0.1\gamma \approx 0.1
γ\gamma

What this part means

gamma 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

gamma 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

…[ 2 ] . A cache read costs a tenth of the base input price; a five-minute cache write costs 1.25 times it [ 1 , 2 ] . Substituting those multipliers into the model — reading the accumulated history at the discounted rate γ\gamma ≈\approx 0.1 instead of the full rate, and writing only the newest increment at the write rate w ≈\approx 1.25 — gives

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