← All parts of this equation

Equation 5 · Part 1 · What We Still Cannot Do: Open Problems in Frontier Model Systems

Symbol P_task

Ptask≈q n,P_{\text{task}} \approx q^{\,n},
PtaskP_{\text{task}}

What this part means

PtP_task 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

PtP_task 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

There is a second, compounding reason, and it is quantitative. Consider a task decomposed into n dependent steps, each completed correctly with probability q , where an uncaught error propagates. Success over the whole task goes as Ptask≈q nP_{\text{task}} \approx q^{\,n}. so the horizon that can be sustained at a target success rate τ\tau is

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 →

The article lists its research sources here.