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Equation 7 · Every Test Changed the Scene and Kept the Chair Red

What does this equation mean?

RRR(π)=CAI(π)spatio(π),\mathrm{RRR}(\pi) = \frac{\mathrm{CAI}(\pi)}{s_{\mathrm{patio}}(\pi)} ,

Read the formula alongside the article passage below. Each part has a deeper page with its role in the equation, the supporting passage and nearby citations.

Start withCAI(pi)
Divide bys_patio(pi)
This relates toRRR(pi)
How to read the two sides of this formula. Follow the article passage for the meaning of each quantity.

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.

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π\pi

Symbol pi

pi is an argument of the function-like quantity on the left; its role is set by that function’s stated inputs.

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spatios_{\mathrm{patio}}

Symbol s_patio

the architecture’s own Table 1 Urban Patio success rate [ 1 ].

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=

=

The expressions on both sides represent the same quantity under the stated assumptions.

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fraction

fraction

Divide the expression above the line by the one below it.

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subscript

subscript

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.

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CAI(π)\mathrm{CAI}(\pi)

Numerator: CAI(pi)

The complete quantity above the fraction bar.

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spatio(π)s_{\mathrm{patio}}(\pi)

Denominator: s_patio(pi)

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

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How to interpret it

With a fixed numerator, increasing a nonzero denominator reduces the fraction. Read it with the definitions, units, and assumptions supplied by the article.

What the article says around this equation

Pair it with a Recolor Robustness Ratio , comparing that score against the architecture’s own already-published performance on the paper’s hardest matched-appearance site: RRR(π)=CAI(π)spatio(π)\mathrm{RRR}(\pi) = \frac{\mathrm{CAI}(\pi)}{s_{\mathrm{patio}}(\pi)} . where spatio(π)s_{\mathrm{patio}}(\pi) is the architecture’s own Table 1 Urban Patio success rate [ 1 ] . An RRR(π)\mathrm{RRR}(\pi) near 1 says the architecture tracks the target about as well when its color is no longer the give-away cue as when it was — the causal reading survives. An RRR(π)\mathrm{RRR}(\pi) collapsing toward 0 says performance was riding on the color the whole time, and collapses precisely when that color is taken away and handed to a decoy — the shift-stable-correlate account is confirmed instead.

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Sources cited in the surrounding passage

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