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Equation 15 · AI Memory Systems and the Bandwidth Wall in 2035: Scenarios, Signals, and Falsifiable Predictions

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BB

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the batch size. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.

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BB

Symbol B

the batch size.

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What the article says around this equation

bytes, the leading factor of two accounting for keys and values together. That equation is worth writing out because it exposes the one real lever every mitigation below actually pulls: none of them escapes linear growth in S and B . Each instead shrinks one of the other factors — most consequentially HkvH_{\mathrm{kv}} , the number of key-value heads actually stored.

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