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Equation 46 · Part 3 · How Fast Can a Horizon Learn Which Path You Took?

subscript

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

What this part means

The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.

Its job in the formula

A subscript distinguishes a version, component, step, or member of a quantity. It does not automatically mean multiplication.

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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