Equation 18 · The Physical Plant: Power, Cooling, and Networks in an AI Datacenter
What does this equation mean?
Read the formula alongside the article passage below. Each part has a deeper page with its role in the equation, the supporting passage and nearby citations.
the per-hop latency. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.
Read it piece by piece
How to interpret it
Read this expression with the definitions, units, and assumptions supplied by the article.
What the article says around this equation
The cost structure of a collective is arithmetic, not policy. For a ring AllReduce over p ranks reducing N bytes at per-link bandwidth B with per-hop latency , each rank moves
Sources cited in the article section
These citations give research context. Read each source to check which claims it supports.
Return to The Physical Plant: Power, Cooling, and Networks in an AI Datacenter