← All parts of this equation

Equation 19 · Part 4 · How Fast Can a Horizon Learn Which Path You Took?

Symbol I_rm dec

Tdec(δ)=inf⁡{T:Idec(T)≥1−δ}.T_{\rm dec}(\delta)= \inf\{T:I_{\rm dec}(T)\geq1-\delta\}.
IdecI_{\rm dec}

What this part means

IrI_rm dec is one of the signed contributions combined to compute the quantity on the left.

Its job in the formula

IrI_rm dec is one of the signed contributions combined to compute the quantity on the left.

The passage around this formula

and a minimum-error decision time is Tdec(δ)=inf⁡{T:Idec(T)≥1−δ}T_{\rm dec}(\delta)= \inf\{T:I_{\rm dec}(T)\geq1-\delta\}. Both are deterministic transformations of the assumed overlap law. Neither is a new field-theory result. Numerically inverting the two binary-entropy equations gives:

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.