Expression 7: 100 Start integral from negative 30 to "x" , end integral, left parenthesis, "f" left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis minus "g" left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis , right parenthesis squared "d" "x" Subscript, 0 , Baseline Is taking a long time to compute.100∫x−30fx0−gx02dx0
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Chi2(k) = sum of k Gauss(0,1)^2 Chi2 ~= Poisson ~= Gauss
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Expression 9: "k" equals 100k=100
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Expression 10: "C" Subscript, "h" "i" , Baseline left parenthesis, "x" , right parenthesis equals StartFraction, 1 Over "G" left parenthesis, StartNestedFraction, "k" NestedOver 2 , EndNestedFraction , right parenthesis , EndFraction StartFraction, 1 Over "x" , EndFraction left parenthesis, StartFraction, "x" Over 2 , EndFraction , right parenthesis Superscript, StartFraction, "k" Over 2 , EndFraction , Baseline "e" Superscript, negative StartFraction, "x" Over 2 , EndFraction , Baseline left brace, "x" greater than or equal to 0 , right braceChix=1Gk21xx2k2e−x2x≥0
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Expression 11: "G" left parenthesis, "x" , right parenthesis equals left parenthesis, "x" minus 1 , right parenthesis !Gx=x−1!
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Expression 12: "C" Subscript, "h" "i" , Baseline left parenthesis, "x" StartRoot, 2 "k" , EndRoot plus "k" , right parenthesis times StartRoot, 2 pi times 2 "k" , EndRootChix2k+k·2π·2k