• lmmarsano@lemmynsfw.com
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    2 days ago

    Math isn’t biased. Flawed reasoning is. For x ≠ 0

    (1 + x)(1 − x) = 1 − x² < 1

    The correct way to cancel scaling by a proportion is its reciprocal, ie, for x ≠ 0

    x ∙ ¹⁄ₓ = 1

    A 10% decrease is ⁹⁄₁₀

    100% − 10% = 90% = ⁹⁄₁₀

    Its reciprocal is ¹⁰⁄₉, a ¹⁄₉ = 11¹⁄₉% increase

    1 / (100% − 10%) = ¹⁰⁄₉ = 100% + 11¹⁄₉%

    We make it complicated by stating increase/decrease & percent instead of simple scaling factors. The western world has a weird 💯 fetish almost as funny as ancient mesopotamians and the number 60.

    In general, for proportional change x, the proportional change y to cancel it is the solution of

    (1 + x)(1 + y) = 1
    y = (1 + x)⁻¹ − 1