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Equation 43 · Part 2 · How Fast Can a Horizon Learn Which Path You Took?

Symbol t_c

Iirr(tc)=1−h2 ⁣(1−Dirr(tc)2).I_{\rm irr}(t_c)= 1-h_2\!\left(\frac{1-D_{\rm irr}(t_c)}{2}\right).
tct_c

What this part means

the become irrevocable at an intermediate cutoff.

Its job in the formula

tct_c occurs above the fraction bar. The numerator is divided by the entire denominator below it.

Where the article explains it

It does not answer how much information has become irrevocable at an intermediate cutoff tct_c .

The passage around this formula

The infimum asks how little path distinguishability remains after the best allowed attempt to erase it. For equal priors, an associated unavoidable decision information is Iirr(tc)=1−h2 ⁣(1−Dirr(tc)2)I_{\rm irr}(t_c)= 1-h_2\!\left(\frac{1-D_{\rm irr}(t_c)}{2}\right). Finally, the proposed horizon receipt time is

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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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