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Equation 10 · Part 1 · Comparing the Main Approaches to AI Agent Architecture

Symbol h^(j)

h(j)h^{(j)}
h(j)h^{(j)}

What this part means

disjoint by construction, worker i ’s error cannot enter worker j ’s context directly — it can only reach the supervisor, and only in whatever compressed form the worker chooses to report.

Its job in the formula

h^(j) 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

Because h(i)h^{(i)} and h(j)h^{(j)} are disjoint by construction, worker i ’s error cannot enter worker j ’s context directly — it can only reach the supervisor, and only in whatever compressed form the worker chooses to report.

The passage around this formula

Because h(i)h^{(i)} and h(j)h^{(j)} are disjoint by construction, worker i ’s error cannot enter worker j ’s context directly — it can only reach the supervisor, and only in whatever compressed form the worker chooses to report. That disjointness is the formal reason this pattern offers stronger containment than the single…

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Learn the underlying idea

An exponent tells how a base is used in multiplication. In x³, x is the base and 3 is the exponent: x³ = x × x × x.

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Sources cited in the article section

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