← Mathematical compendium

Published equation contexts

Tχ(δ)=inf⁡{T:χH(T)≥1−δ}T_\chi(\delta)= \inf\{T:\chi_H(T)\geq1-\delta\}

Why this formula appears here

where Γ\Gamma has units of inverse time in the explicitly named time coordinate. Define a confidence deficit δ\delta . A Holevo-ceiling time is Tχ(δ)=inf⁡{T:χH(T)≥1−δ}T_\chi(\delta)= \inf\{T:\chi_H(T)\geq1-\delta\}. and a minimum-error decision time is

Read the full article-specific guide →

Read the representative guide

How to interpret it

Read it with the definitions, units, and assumptions supplied by the article.

Learn the mathematics behind it

Published contexts (1)

A symbol can carry a different meaning in another article. Each occurrence keeps its own guide and term definitions.

Tχ(δ)=inf⁡{T:χH(T)≥1−δ},T_\chi(\delta)= \inf\{T:\chi_H(T)\geq1-\delta\},

Equation 18 · Evolutionary Physics

How Fast Can a Horizon Learn Which Path You Took?

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

where Γ\Gamma has units of inverse time in the explicitly named time coordinate. Define a confidence deficit δ\delta . A Holevo-ceiling time is Tχ(δ)=inf⁡{T:χH(T)≥1−δ}T_\chi(\delta)= \inf\{T:\chi_H(T)\geq1-\delta\}. and a minimum-error decision time is

Meanings in this article

Equation guide → · Article →