← All parts of this equation

Equation 19 · Part 2 · Comparing Frontier Model Pricing Without Comparing Apples to Oranges

Symbol rho_i

κi=ρi=1\kappa_i = \rho_i = 1
ρi\rho_i

What this part means

all equal to each other and to 1 across every vendor in the comparison.

Its job in the formula

rhoio_i is an input to the expression that computes the quantity on the left.

Where the article explains it

Reading piinp^{\text{in}}_i and pioutp^{\text{out}}_i off a rate card and comparing them directly across vendors is equivalent to assuming κi\kappa_i , γi\gamma_i , and ρi\rho_i are all equal to each other and to 1 across every vendor in the comparison.

The passage around this formula

Reading piinp^{\text{in}}_i and pioutp^{\text{out}}_i off a rate card and comparing them directly across vendors is equivalent to assuming κi\kappa_i , γi\gamma_i , and ρi\rho_i are all equal to each other and to 1 across every vendor in the comparison. This article has just shown that one of those three, γi\gamma_i , genuinely does converge close to 0.1 across all three companies’ published cards — the one term a naive comparison happens to get right by accident. The…

Read this part in the article →

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 →

See this notation across published equations →

Sources cited in the article section

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