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Equation 46 · Part 2 · How Fast Can a Horizon Learn Which Path You Took?

Symbol t_c

Dirr(tc)D_{\rm irr}(t_c)
tct_c

What this part means

the become irrevocable at an intermediate cutoff.

Its job in the formula

tct_c is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

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 program will not assume Dirr(tc)D_{\rm irr}(t_c) is monotone. Monotonicity may follow only when the admissible-control set shrinks consistently with time and the horizon subalgebras are nested in the required sense. If reopening grants a qualitatively new route at a later cutoff, a naïve implementation could violate the ordering. The paper must prove the conditions or report the nonmonotonicity as a definition failure.

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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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Sources cited in the article section

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