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Equation 18 · Part 6 · How Fast Can a Horizon Learn Which Path You Took?

subscript

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

What this part means

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.

Its job in the formula

A subscript distinguishes a version, component, step, or member of a quantity. It does not automatically mean multiplication.

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 subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

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