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Equation 1 · Part 4 · AI Datacenter Interconnects in Practice: An Advanced Technical Guide

superscript

4.096 μs×2timeout4.096\ \mu s \times 2^{\text{timeout}}
superscript

What this part means

A raised number can be a power. When it is a label or bound, it selects a case or the upper limit of a sum; the formula’s structure distinguishes these uses.

Its job in the formula

A raised mark can be a power or an index. Its position and the surrounding notation determine which.

The passage around this formula

NCCLAL_ALGO and NCCLPL_PROTO select which collective algorithm and wire protocol a given operation uses; NCCLIL_IBHB_HCA filters which InfiniBand host channel adapters, ports and rails are eligible for a job, in a format that can descend to individual rail and plane; NCCLSL_SOCKETIT_IFNAME performs the equivalent filtering for the out-of-band control interfaces [ 1 ] . On the InfiniBand transport specifically, NCCLIL_IBTB_TIMEOUT sets the retransmission timeout as 4.096\ μ\mu s ×\times 2^{timeout\text{timeout}} , with the library’s own default raised to 20 as of version 2.23, and NCCLIL_IBRB_RETRYCY_CNT defaults to seven retry attempts before a queue pair gives up [ 1 ] — both are tuned upward on fabrics with longer…

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Learn the underlying idea

An exponent tells how a base is used in multiplication. In x³, x is the base and 3 is the exponent: x³ = x × x × x.

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Sources cited in the surrounding passage

These citations provide research context; check each source for the exact claim it supports.