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Equation 10 · Part 2 · AI Datacenter Systems Engineering in 2035: Scenarios, Signals, and Falsifiable Predictions

Symbol T

λT≪1\lambda T \ll 1
TT

What this part means

T 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

T 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

Analysis. The following calculation is my own, built to make the MLPerf numbers’ shape explicit rather than to reproduce them exactly. Model checkpoint writes as occurring every T hours, each costing τ\tau hours of write time, with failures arriving as a Poisson process at fleet-wide rate λ\lambda (failures per hour). For λ\lambda T ≪\ll 1 , a failure inside an interval loses on average T/2 hours of recomputation, so the expected fraction of wall-clock time lost to the combination of checkpoint overhead and lost recompute is approximately

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