Lighthouse Individual Metric Scoring Curve

Uitdrukking 15: "C" left parenthesis, "x" , right parenthesis equals 1 half ( 1 minus "E" Subscript, "r" "f" , Baseline ( StartFraction, ln "x" minus mu Over StartRoot, 2 , EndRoot sigma , EndFraction ) )

p = old "point of diminishing returns" control point

Uitdrukking 17: "p" equals exponent left parenthesis, mu plus StartFraction, sigma Over 2 , EndFraction left parenthesis, negative 3 sigma minus StartRoot, 4 plus sigma squared , EndRoot , right parenthesis , right parenthesis

equals

2251.6 8 7 2 7 0 4 8

erf() using Abramowitz and Stegun formula 7.1.26 (error < 1.5e-7)

Uitdrukking 19: "E" Subscript, "r" "f" , Baseline left parenthesis, "x" , right parenthesis equals signum left parenthesis, "x" , right parenthesis left parenthesis, 1 minus left parenthesis, left parenthesis, left parenthesis, left parenthesis, left parenthesis, 1.0 6 1 4 0 5 4 2 9 times "t" Subscript, "A" "S" , Baseline left parenthesis, "x" , right parenthesis plus negative 1.4 5 3 1 5 2 0 2 7 , right parenthesis times "t" Subscript, "A" "S" , Baseline left parenthesis, "x" , right parenthesis , right parenthesis plus 1.4 2 1 4 1 3 7 4 1 , right parenthesis times "t" Subscript, "A" "S" , Baseline left parenthesis, "x" , right parenthesis plus negative 0.2 8 4 4 9 6 7 3 6 , right parenthesis times "t" Subscript, "A" "S" , Baseline left parenthesis, "x" , right parenthesis plus 0.2 5 4 8 2 9 5 9 2 , right parenthesis times "t" Subscript, "A" "S" , Baseline left parenthesis, "x" , right parenthesis times exp left parenthesis, negative left parenthesis, "x" times "x" , right parenthesis , right parenthesis , right parenthesis

Uitdrukking 20: "t" Subscript, "A" "S" , Baseline left parenthesis, "x" , right parenthesis equals StartFraction, 1 Over 1 plus 0.3 2 7 5 9 1 1abs left parenthesis, "x" , right parenthesis , EndFraction

Color in the 3 Lighthouse scoring buckets

Uitdrukking 22: 1 greater than "y" greater than or equal to .9 0

Uitdrukking 23: .9 0 greater than "y" greater than or equal to .5 0

Uitdrukking 24: .5 0 greater than "y" greater than 0

Plot the control points

podr: left parenthesis, "p" , "C" left parenthesis, "p" , right parenthesis , right parenthesis

Label:

equals

left parenthesis, 2251.6 8 7 2 7 , 0.9 4 1 4 1 8 3 9 , right parenthesis

median: left parenthesis, "m" , "C" left parenthesis, "m" , right parenthesis , right parenthesis

Label:

equals

left parenthesis, 4000 , 0.5 , right parenthesis

p10: left parenthesis, "p" Subscript, 10 , Baseline , "C" left parenthesis, "p" Subscript, 10 , Baseline , right parenthesis , right parenthesis

Label:

equals

left parenthesis, 2500 , 0.8 9 9 9 9 9 9 3 , right parenthesis

Uitdrukking 29:

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