Equation 18 · Part 1 · The Physical Plant: Power, Cooling, and Networks in an AI Datacenter
Symbol α
What this part means
the per-hop latency.
Its job in the formula
α is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Full expression→Symbol α→Article meaning
Where the article explains it
For a ring AllReduce over p ranks reducing N bytes at per-link bandwidth B with per-hop latency , each rank moves
The passage around this formula
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
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.
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Sources cited in the article section
These citations provide research context; check each source for the exact claim it supports.