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Equation 43 · Part 1 · How Fast Can a Horizon Learn Which Path You Took?

Symbol I_rm irr

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).
IirrI_{\rm irr}

What this part means

IrI_rm irr is part of the quantity the equation computes from the expression on the right.

Its job in the formula

IrI_rm irr is part of the quantity the equation computes from the expression on the right.

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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