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Equation 37 · Part 2 · Naive, Graph, and Agentic: A Systems Comparison of RAG Architectures

=

k=1k = 1
=

What this part means

The expressions on both sides represent the same quantity under the stated assumptions.

Its job in the formula

The equals sign connects the complete expression on the left with the complete expression on the right. Both sides must have compatible units.

The passage around this formula

For naive and hybrid RAG, k = 1 by construction — the sum has exactly one term, and total latency is boundable in advance for any query. For iterative RAG, k is a small integer set by a heuristic or a step cap chosen by the system builder, so the worst case is known even though the typical case varies with question difficulty. For agentic RAG, k is a random variable generated by the policy itself at run time, and its distribution is exactly what the operator does not control without adding an external cap. The same formula describes all five families; what changes is only where k comes from, and that difference is the whole of the engineering distinction between “a pipeline with a loop in…

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Learn the underlying idea

An equals sign says that the expression on its left and the expression on its right have the same value under the stated definitions and assumptions.

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Sources cited in the article section

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