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We extend this theorem to several other settings: the weighted case, the case of infinitely many points, and the Hamming scheme.\n  The weighted Ahlswede-Khachatrian theorem gives the maximal $\\mu_p$ measure of a $t$-intersecting family on $n$ points, where $\\mu_p(A) = p^{|A|} (1-p)^{n-|A|}$. 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