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Equation 12 · Part 4 · Why Cost and Latency Belong in the Evaluation Score, Not a Footnote

Symbol s_B

A≻B  ⟺  sA≥sB,  cA≤cB,  lA≤lB,  with at least one inequality strict.A \succ B \iff s_A \ge s_B,\ \ c_A \le c_B,\ \ l_A \le l_B,\ \ \text{with at least one inequality strict.}
sBs_B

What this part means

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

Its job in the formula

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

The passage around this formula

Given that, the more defensible comparison between two agents is not a rank at all. It is a dominance relation. Say agent A Pareto-dominates agent B if A is at least as good on every axis and strictly better on at least one: A≻B  ⟺  sA≥sB,  cA≤cB,  lA≤lB,  with at least one inequality strict.A \succ B \iff s_A \ge s_B,\ \ c_A \le c_B,\ \ l_A \le l_B,\ \ \text{with at least one inequality strict.}. The Pareto frontier across a set of candidate agents is the subset that no other candidate dominates — the agents for which improving on any one axis would require giving something up on another. This relation makes no assumption about how much a point of accuracy is worth in dollars or seconds. It only says when one agent is unambiguously not worse than another. That is a weaker claim than a rank, and it is weaker on purpose: it is the claim the…

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A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

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Sources cited in the article section

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