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Equation 29 · Part 1 · Forty Million Clicks Through One Uneven Door

superscript

3×1083\times10^{8}
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What this part means

A raised number can be a power. When it is a label or bound, it selects a case or the upper limit of a sum; the formula’s structure distinguishes these uses.

Its job in the formula

A raised mark can be a power or an index. Its position and the surrounding notation determine which.

The passage around this formula

This is a DERIVED quantity, not a measurement: it has not been run against real per-country population totals or the actual SharedResponsesSurvey.csv microdata, and no value of ρR,Y\rho_{R,Y} for any real country is claimed here. What can be computed honestly, using only the paper’s own reported extremes for n — 101 respondents at the low end, 448,125 at the high end [ 1 ] — is how small ρR,Y\rho_{R,Y} would need to be, at illustrative (not dataset-matched) population scales, to produce a cross-country divergence of δ\delta = 0.1 , a magnitude in the range visible between clusters in the paper’s own Fig. 3b radar plot. For a nation of order 10^{6} residents sampled at n=101 : f ≈\approx…

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Learn the underlying idea

An exponent tells how a base is used in multiplication. In x³, x is the base and 3 is the exponent: x³ = x × x × x.

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Sources cited in the surrounding passage

These citations provide research context; check each source for the exact claim it supports.