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c∈(0,1)c \in (0,1)

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A simplified model makes the handoff-chain version of this concrete. Suppose each handoff in a sequential chain of agents preserves only a 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

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c∈(0,1)c \in (0,1)

Equation 1 · AI Agents & Systems

Ten Failure Modes That Define Production AI Agent Architectures

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

A simplified model makes the handoff-chain version of this concrete. Suppose each handoff in a sequential chain of agents preserves only a 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

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