Equation 22 · The Network Is the Computer Again
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.
This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.
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Symbol p
p is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
subtraction
Subtract the following term or group from the preceding one. A leading minus marks a negative quantity.
How to interpret it
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What the article says around this equation
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:
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 give research context. Read each source to check which claims it supports.
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