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Equation 18 · Part 1 · Why Cost and Latency Belong in the Evaluation Score, Not a Footnote

Symbol U_λ

Uλ(A)=sA−λc cA−λl lA.U_{\lambda}(A) = s_A - \lambda_c\, c_A - \lambda_l\, l_A .
UλU_{\lambda}

What this part means

U_λ is part of the quantity the equation computes from the expression on the right.

Its job in the formula

U_λ is part of the quantity the equation computes from the expression on the right.

The passage around this formula

Make that judgment explicit and it becomes a scalarized score. Choose exchange rates λc\lambda_c (accuracy points per dollar) and λl\lambda_l (accuracy points per second of latency), and define Uλ(A)=sA−λc cA−λl lAU_{\lambda}(A) = s_A - \lambda_c\, c_A - \lambda_l\, l_A . This is a legitimate way to rank agents, and it is what most procurement decisions ultimately have to do. But writing it out this explicitly makes the hidden step visible: the ranking that comes out depends entirely on λc\lambda_c and λl\lambda_l , numbers that are not properties of the agents at all. A call center with razor-thin per-ticket margins and a research lab doing one-off due-diligence work on a handful of contracts will set λc\lambda_c at wildly different values, and the two will…

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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.

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Sources cited in the article section

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