Equation 3 · Part 1 · AI Accelerator Architecture in 2035: Scenarios, Signals, and Falsifiable Predictions

Symbol r_B

r_B \approx 1.6

r_B

What this part means

$r_B$ is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Its job in the formula

$r_B$ is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Full expressionSymbol r_BArticle meaning

The passage around this formula

With $r_F$ $\approx$ 3.0 and $r_B$ $\approx$ 1.6 for DRAM bandwidth, ( $r_F$ / $r_B$ )^{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

[6] JEDEC Finalizes HBM4 Standard, Potentially Easing Pressure on Hybrid Bonding Adoption ↗

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