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Equation 12 · Part 11 · Why Cost and Latency Belong in the Evaluation Score, Not a Footnote

subscript

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.}
subscript

What this part means

The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.

Its job in the formula

A subscript distinguishes a version, component, step, or member of a quantity. It does not automatically mean multiplication.

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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Learn the underlying idea

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

Open the illustrated subscripts: which member of a family? guide →

Sources cited in the article section

These citations provide research context; check each source for the exact claim it supports.