Equation 2 · Codex vs Claude Code: A Systems Comparison, Not a Benchmark Beauty Contest
What does this equation mean?
Read the formula alongside the article passage below. Each part has a deeper page with its role in the equation, the supporting passage and nearby citations.
This equation states an equality: the expressions on both sides have the same value under the article’s assumptions. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.
Read it piece by piece
Symbol A_j
is part of the quantity the equation computes from the expression on the right.
Symbol M_j
is an input to the expression that computes the quantity on the left.
Symbol C_j
is an input to the expression that computes the quantity on the left.
Symbol T_j
is an input to the expression that computes the quantity on the left.
Symbol P_j
is an input to the expression that computes the quantity on the left.
Symbol E_j
is an input to the expression that computes the quantity on the left.
Symbol S_j
is an input to the expression that computes the quantity on the left.
Symbol O_j
is an input to the expression that computes the quantity on the left.
=
The expressions on both sides represent the same quantity under the stated assumptions.
See an illustrated explanation →subscript
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.
How to interpret it
Read it with the definitions, units, and assumptions supplied by the article.
What the article says around this equation
Represent a deployed system j as . where M is model policy, C context and state, T tools and extensibility, P permissions, E execution isolation, S surfaces and handoff, and O organizational controls. Comparing only M discards most of what users buy and most of what defenders must secure.
For background, read the article’s source list.
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