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To take the next step — and we’re close to the finish line! — note that the proof doesn’t put any constraint on the upper value of K. If we choose some definite K1, the proof establishes the existence of a single 2-good pair, which we can label a1 and b1. If we choose K2, it proves the existence of a pair we’ll call a2 and b2; that pair may or may not produce a functionally different approximation of r. Maybe there’s just a single solution that repeats for every K?
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MethodologyWe pulled monthly US organic traffic estimates from Ahrefs for ten major English-language tech publications from February 2024 through January 2026. For each site, we identified the peak traffic month and compared it to January 2026 (the most recent complete month). All figures are Ahrefs estimates for the US market.