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Equation 15 · Part 1 · The Hardest Unsolved Problems in AI Agent Architecture

Symbol n

nn
nn

What this part means

the number of agents.

Its job in the formula

n is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Where the article explains it

Multi-agent coordination cost grows faster than the group For n agents that each need a channel to every other agent, the number of pairwise links a fully connected coordination topology requires is (n2)\binom{n}{2} = n(n−1)2\frac{n(n-1)}{2}, which grows quadratically in n even before accounting for the content sent over each link.

The passage around this formula

which grows quadratically in n even before accounting for the content sent over each link. That is a modeling assumption, not a law of nature — a system that routes all communication through a single orchestrator instead of a full mesh pays a linear cost in links, at the price of a central bottleneck and a single point of…

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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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