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Equation 4 · Part 2 · AI Accelerator Architecture in 2035: Scenarios, Signals, and Falsifiable Predictions

Symbol r_B

(rF/rB)5.5=(1.875)5.5≈32(r_F/r_B)^{5.5} = (1.875)^{5.5} \approx 32
rBr_B

What this part means

rBr_B is an argument of the function-like quantity on the left; its role is set by that function’s stated inputs.

Its job in the formula

rBr_B is an argument of the function-like quantity on the left; its role is set by that function’s stated inputs.

The passage around this formula

With rFr_F ≈\approx 3.0 and rBr_B ≈\approx 1.6 for DRAM bandwidth, (rFr_F/rBr_B)^{5.5} = (1.875)^{5.5} ≈\approx 32 : the ratio of peak arithmetic to memory bandwidth would be roughly 32 times higher in 2035 than in 2024 if the historical exponents hold exactly. Swap in interconnect bandwidth’s 1.4x rate and the same arithmetic gives…

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Learn the underlying idea

A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

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Sources cited in the surrounding passage

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