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Equation 2 · Part 1 · Building an AI Agent Architecture in Practice: An Advanced Technical Guide

Symbol n

sleep(n)=Uniform ⁣(0, backoff(n)).\text{sleep}(n) = \mathrm{Uniform}\!\left(0,\ \text{backoff}(n)\right).
nn

What this part means

n 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

n is an argument of the function-like quantity on the left; its role is set by that function’s stated inputs.

The passage around this formula

and full jitter — the post’s recommended default — then draws the actual wait time as a uniform random value below that ceiling rather than using it directly, sleep(n)=Uniform ⁣(0, backoff(n))\text{sleep}(n) = \mathrm{Uniform}\!\left(0,\ \text{backoff}(n)\right). Randomizing the wait, not merely lengthening it, is what decorrelates simultaneous retries into a spread-out stream the recovering dependency can actually absorb; the post reports that unjittered exponential backoff was “the clear loser” against every jittered variant it tested in simulation [ 7 ] .

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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 surrounding passage

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