Equation 31 · Part 1 · The Economics and Physical Limits of Running AI Agents at Scale
Symbol q
What this part means
q 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
q 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 q→Article meaning
The passage around this formula
Holding = q constant across the trajectory — a simplification, since real failure rates are neither constant nor independent — the expected extra cost from retries is , and because increases with i , that extra cost is weighted toward the trajectory’s most expensive, latest steps rather than distributed evenly across it. A one-percent per-step retry rate is a rounding error at step five. Applied at step two hundred of an uncached or lightly cached loop, it is a rounding error on a much larger number.
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.
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Sources cited in the article section
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