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Equation 2 · Part 3 · Attribution: Tying One Event to a Changing Climate

subscript

lim⁡p0→0PR=∞,lim⁡p0→0FAR=1.\lim_{p_0 \to 0} \mathrm{PR} = \infty, \qquad \lim_{p_0 \to 0} \mathrm{FAR} = 1.
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 arithmetic also misbehaves exactly where the events are most interesting. As the counterfactual probability falls toward zero, lim⁡p0→0PR=∞,lim⁡p0→0FAR=1\lim_{p_0 \to 0} \mathrm{PR} = \infty, \qquad \lim_{p_0 \to 0} \mathrm{FAR} = 1. AR6 records that several studies of events from 2016 onward reported an infinite risk ratio, corresponding to a fraction of attributable risk of one, because the event’s occurrence probability was close to zero in simulations without anthropogenic influence — while noting in the same passage that the lower bound of the uncertainty range is difficult to estimate accurately in these cases [ 1 ] . Paciorek, Stone and Wehner develop a frequentist framework for exactly this sampling problem and argue that the bootstrap widely used in the…

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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 surrounding passage

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