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Equation 18 · Part 2 · How Fast Can a Horizon Learn Which Path You Took?

Symbol delta

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

What this part means

the define a confidence deficit.

Its job in the formula

delta is an argument of the function-like quantity on the left; its role is set by that function’s stated inputs.

Where the article explains it

Define a confidence deficit δ\delta .

The passage around this formula

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

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Learn the underlying idea

A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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