Equation 23 · Part 9 · What Interpretability Actually Costs to Do at Scale
Ending index or upper bound: m
What this part means
This label says where the repeated addition, multiplication, or accumulation stops. It sets the last term or end of the range.
Its job in the formula
m appears in the bound of this sum. The bound states where the repeated operation starts, ends, or which values it includes.
Full expression→Ending index or upper bound: m→Article meaning
The passage around this formula
A simple model makes the scaling problem legible. Let a verified circuit claim require passing m distinct checks — faithfulness under intervention, completeness against the behavior it is meant to fully explain, minimality against components that turn out not to matter — and let each check take researcher-hours, including the false starts a competent skeptic would force. Total…
Learn the underlying idea
Σ adds a collection of terms. Π multiplies them. The lower and upper labels tell you which terms belong to the collection.
Open the illustrated sums and products: repeat an operation over an index guide →
See this notation across published equations →
Sources cited in the surrounding passage
These citations provide research context; check each source for the exact claim it supports.