Equation 8 · Part 2 · What an AI Accelerator Actually Is: Silicon, Packaging, and the Memory It Can Reach
Symbol W
What this part means
the number of operations.
Its job in the formula
W occurs above the fraction bar. The numerator is divided by the entire denominator below it.
Full expression→Symbol W→Article meaning
Where the article explains it
with W operations and Q bytes.
The passage around this formula
Define arithmetic intensity I as the ratio of arithmetic operations performed to bytes moved between the accelerator and its off-chip memory: . with W operations and Q bytes. Let be the machine’s peak arithmetic rate and its achievable memory bandwidth. Then attainable performance is bounded by
Learn the underlying idea
A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.
Open the illustrated variables: a letter stands for a value guide →
See this notation across published equations →
Sources cited in the article section
- [2] Roofline: An Insightful Visual Performance Model for Floating-Point Programs and Multicore Architectures ↗
- [4] AI and Memory Wall ↗
- [5] FlashAttention: Fast and Memory-Efficient Exact Attention with IO-Awareness ↗
These citations provide research context; check each source for the exact claim it supports.