Up to 1900, world population growth over 1500 years fitted the quasi-hyperbolic format P(t) = a/(D - t)M, but this fit projected to infinite population around 2000. The recent slowdown has been fitted only by iteration of differential equations. This study fits the mean world population estimates from CE 400 to present with �tamed quasi-hyperbolic function� P(t) = A/[ln(B + e(D - t)/t)]M, which reverts to P = a/(D - t)M when t <
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