Expression 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 ) )Cx=12(1−Erf(lnx−μ2σ))
15
p = old "point of diminishing returns" control point
16
Expression 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 parenthesisp=expμ+σ2−3σ−4+σ2
equals=
944.6 1 8 6 0 8 3 9 8944.618608398
17
erf() using Abramowitz and Stegun formula 7.1.26 (error < 1.5e-7)
18
Expression 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 parenthesisErfx=signx1−1.061405429·tASx+−1.453152027·tASx+1.421413741·tASx+−0.284496736·tASx+0.254829592·tASx·exp−x·x
19
Expression 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 , EndFractiontASx=11+0.3275911absx
20
Color in the 3 Lighthouse scoring buckets
21
Expression 22: 1 greater than "y" greater than or equal to .9 01>y≥.90
22
Expression 23: .9 0 greater than "y" greater than or equal to .5 0.90>y≥.50
23
Expression 24: .5 0 greater than "y" greater than 0.50>y>0
24
Plot the control points
25
podr: left parenthesis, "p" , "C" left parenthesis, "p" , right parenthesis , right parenthesisp,Cp
Label:
equals=
left parenthesis, 944.6 1 8 6 0 8 , 0.9 4 7 1 2 1 9 1 , right parenthesis944.618608,0.94712191
26
median: left parenthesis, "m" , "C" left parenthesis, "m" , right parenthesis , right parenthesism,Cm
Label:
equals=
left parenthesis, 1800 , 0.5 , right parenthesis1800,0.5
27
p10: left parenthesis, "p" Subscript, 10 , Baseline , "C" left parenthesis, "p" Subscript, 10 , Baseline , right parenthesis , right parenthesisp10,Cp10
Label:
equals=
left parenthesis, 3000 , 0.1 0 0 0 0 0 0 7 , right parenthesis3000,0.10000007
