Equation 3 · Part 2 · From Origins to Frontier: A History of AI Memory Systems and the Bandwidth Wall
=
=
What this part means
The expressions on both sides represent the same quantity under the stated assumptions.
Its job in the formula
The equals sign connects the complete expression on the left with the complete expression on the right. Both sides must have compatible units.
Full expression→=→Article meaning
The passage around this formula
with t measured in years. At t = 20 that factor works out to (3.0/1.6)^{10} 540 : a roughly five-hundredfold widening of the gap in raw compounding terms, and that is before accounting for the interconnect term separately. No single memory technology closes a gap shaped like that on its own. Every technology discussed below narrows it at one particular tier, for one particular class of workload, for a while — which is exactly why the industry kept needing a new one.
Learn the underlying idea
An equals sign says that the expression on its left and the expression on its right have the same value under the stated definitions and assumptions.
Open the illustrated equality: what the equals sign claims guide →
Sources cited in the article section
- [5] JESD79: Double Data Rate (DDR) SDRAM Specification ↗
- [6] JESD212: Graphics Double Data Rate (GDDR5) SGRAM Standard ↗
- [7] Dissecting GPU Memory Hierarchy through Microbenchmarking ↗
- [13] AI and Memory Wall ↗
These citations provide research context; check each source for the exact claim it supports.