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Equation 43 · Part 9 · How Fast Can a Horizon Learn Which Path You Took?

Denominator: 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).
22

What this part means

The complete quantity below the fraction bar; it must be nonzero for this division.

Its job in the formula

2 occurs below the fraction bar. The quantity above the bar is divided by this expression; zero is excluded as a denominator.

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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Learn the underlying idea

A fraction a/b means a divided by b. The top number is the numerator; the bottom number is the denominator, and it cannot be zero.

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Sources cited in the article section

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