Equation 24 · Part 3 · The Network Is the Computer Again
Symbol p
What this part means
p is an argument of the function-like quantity on the left; its role is set by that function’s stated inputs.
Its job in the formula
p is an argument of the function-like quantity on the left; its role is set by that function’s stated inputs.
Full expression→Symbol p→Article meaning
The passage around this formula
But look at the latency term: 2(p-1) grows linearly in the number of participants. A recursive-doubling or tree scheme instead completes in p rounds: . paying a logarithmic latency term but sending the full message in every round, so its bandwidth cost grows with p rather than staying flat.
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] Collective communication: theory, practice, and experience ↗
- [3] NCCL Tests — Performance Reporting and Bus Bandwidth ↗
- [1] Optimization of Collective Communication Operations in MPICH ↗
These citations provide research context; check each source for the exact claim it supports.