Equation 7 · Part 2 · What Actually Happens Inside a Very Long Claude Context Window
Symbol k^2
What this part means
The square of k: multiply k by itself.
Its job in the formula
is squared: multiply the underlying quantity by itself. The square is a mathematical operation, not a second independent variable.
Full expression→Symbol k^2→Article meaning
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() and O() 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.
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.
Open the illustrated exponents: repeated multiplication and powers guide →
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