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Equation 12 · Part 2 · Why Cost and Latency Belong in the Evaluation Score, Not a Footnote

Symbol 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.}
BB

What this part means

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

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…

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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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