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Equation 3 · Part 2 · Ten Failure Modes That Define Production AI Agent Architectures

Symbol n

r(n)=c n.r(n) = c^{\,n}.
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

…fraction c ∈\in (0,1) of the decision-relevant context generated before it — the rest summarized away, dropped, or simply never passed, as when a subagent returns only a final message rather than its working trace. After n sequential handoffs, the fraction of the original context still available at the far end of the chain is r(n)=c nr(n) = c^{\,n}. The decay is geometric, not linear: at c = 0.8 , five hops in sequence leave roughly a third of the original context standing, and ten hops leave roughly a tenth. This is…

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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

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