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Equation 43 · Part 3 · How Fast Can a Horizon Learn Which Path You Took?

Symbol h_2

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).
h2h_2

What this part means

h2h_2 is one of the signed contributions combined to compute the quantity on the left.

Its job in the formula

h2h_2 is one of the signed contributions combined to compute the quantity on the left.

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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