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Equation 8 · Part 3 · What Actually Happens Inside a Very Long Claude Context Window

superscript

O(n2)O(n^2)
superscript

What this part means

A raised number can be a power. When it is a label or bound, it selects a case or the upper limit of a sum; the formula’s structure distinguishes these uses.

Its job in the formula

A raised mark can be a power or an index. Its position and the surrounding notation determine which.

The passage around this formula

Two. Hybrid retrieval-plus-long-context architectures, in the Self-Route style, become the default production pattern for large, heterogeneous document collections, with a full long-context pass reserved for queries a cheaper first pass flags as difficult, on the assumption that the cost asymmetry between O(k2k^2) and O(n2n^2) processing does not disappear as windows grow further. Disconfirmed if , by 2028, production systems handling large heterogeneous corpora have converged on feeding full context on every request as the standard approach, with no routing step.

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Learn the underlying idea

An exponent tells how a base is used in multiplication. In x³, x is the base and 3 is the exponent: x³ = x × x × x.

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