Expression 16: "I" left parenthesis, "x" Subscript, 1 , Baseline , right parenthesisIx1
equals=
1.0 7 5 1 3 1 5 4 5 8 71.07513154587
16
Expression 17: "p" left parenthesis, "x" , right parenthesis equals StartFraction, "I" left parenthesis, "x" , right parenthesis minus "I" Subscript, 0 , Baseline Over "I" Subscript, 1 , Baseline minus "I" Subscript, 0 , Baseline , EndFractionpx=Ix−I0I1−I0
17
Inverse CDF (Newton-Raphson)
18
Expression 19: "x" equals "p" left parenthesis, "y" , right parenthesisx=py
19
Expression 20: "n" left parenthesis, "x" , "x" Subscript, 0 , Baseline , right parenthesis equals "x" minus StartFraction, "I" left parenthesis, "x" , right parenthesis minus "x" Subscript, 0 , Baseline Over "h" left parenthesis, "x" , right parenthesis , EndFractionnx,x0=x−Ix−x0hx
20
Expression 21: "p" Subscript, "i" "n" "v" , Baseline left parenthesis, "x" , right parenthesis equals "n" left parenthesis, "n" left parenthesis, "n" left parenthesis, "n" left parenthesis, "n" left parenthesis, "n" left parenthesis, "c" , "x" , right parenthesis , "x" , right parenthesis , "x" , right parenthesis , "x" , right parenthesis , "x" , right parenthesis , "x" , right parenthesis left brace, "I" Subscript, 0 , Baseline less than or equal to "x" less than or equal to "I" Subscript, 1 , Baseline , right bracepinvx=nnnnnnc,x,x,x,x,x,xI0≤x≤I1
21
Expression 22: "p" Subscript, "i" "n" "v" , Baseline left parenthesis, left parenthesis, "I" Subscript, 1 , Baseline minus "I" Subscript, 0 , Baseline , right parenthesis "x" plus "I" Subscript, 0 , Baseline , right parenthesispinvI1−I0x+I0
22
Random
23
Expression 24: "N" equals 1000N=1000
11
1000010000
24
Expression 25: "U" equals 2random left parenthesis, "N" , right parenthesis minus 1U=2randomN−1
equals=
negative 0.4 7 7 9 0 1 0 4 7 5 1 5−0.477901047515
0.1 3 1 0 9 8 0 1 6 5 60.13109801656
0.7 0 4 8 1 0 0 5 3 0 4 10.704810053041
negative 0.7 9 0 8 2 9 0 9 9 7 3 8−0.790829099738
0.8 0 8 6 7 5 7 9 5 6 90.80867579569
0.5 7 7 2 4 3 5 7 0 8 2 20.577243570822
negative 0.4 3 7 3 8 0 4 8 5 8 8−0.43738048588
negative 0.5 0 4 4 6 3 7 7 2 7 2 5−0.504463772725
0.9 4 3 0 6 4 6 4 4 0 3 40.943064644034
0.2 8 3 1 9 6 9 5 8 1 0 50.283196958105
negative 0.9 4 5 9 7 9 4 4 1 6 3 7−0.945979441637
negative 0.8 5 6 0 8 2 5 0 1 3 2 5−0.856082501325
negative 0.5 7 6 0 4 2 4 4 0 9 1 2−0.576042440912
negative 0.4 3 1 8 3 6 9 7 8 7 6−0.43183697876
negative 0.2 3 8 3 4 1 5 3 6 4 5 5−0.238341536455
1000 element list
25
Expression 26: "V" equals 2random left parenthesis, "N" , right parenthesis minus 1V=2randomN−1
equals=
negative 0.4 5 3 4 5 1 8 7 5 9 1 3−0.453451875913
negative 0.8 2 6 3 6 6 4 4 3 2 1 4−0.826366443214
0.8 7 9 2 9 7 6 7 6 4 3 90.879297676439
negative 0.6 7 1 8 6 0 2 7 9 7 8−0.67186027978
0.1 9 6 7 7 3 3 9 2 3 1 50.196773392315
negative 0.2 2 1 8 2 6 6 3 2 2 1 7−0.221826632217
negative 0.3 1 4 7 2 5 9 1 1 9 4 4−0.314725911944
0.3 0 1 3 2 6 7 8 7 4 8 70.301326787487
0.7 1 4 3 6 8 9 6 2 8 6 80.714368962868
negative 0.4 7 3 9 7 9 7 2 4 9 1 9−0.473979724919
0.8 3 7 6 9 5 1 4 0 0 2 90.837695140029
0.4 0 9 6 8 4 0 4 9 8 5 10.409684049851
negative 0.9 4 6 3 7 2 1 3 7 2 7 8−0.946372137278
negative 0.5 9 3 1 8 3 7 7 8 7 7 1−0.593183778771
negative 0.7 8 8 3 9 0 1 9 0 5 5−0.78839019055
1000 element list
26
Expression 27: "X" equals "p" Subscript, "i" "n" "v" , Baseline left parenthesis, "I" Subscript, 0 , Baseline plus left parenthesis, "I" Subscript, 1 , Baseline minus "I" Subscript, 0 , Baseline , right parenthesis StartAbsoluteValue, "U" , EndAbsoluteValue , right parenthesisX=pinvI0+I1−I0U
equals=
0.7 5 3 2 5 4 3 2 7 8 5 20.753254327852
0.2 2 0 8 7 5 5 7 5 1 0 20.220875575102
1.1 1 0 3 4 5 5 8 8 3 11.11034558831
1.2 5 8 6 7 2 3 2 7 71.2586723277
1.2 9 1 1 5 0 6 5 4 6 61.29115065466
0.9 0 5 8 7 9 5 4 5 7 2 90.905879545729
0.6 9 1 7 9 4 7 8 4 3 9 60.691794784396
0.7 9 3 7 3 0 9 2 1 5 8 10.793730921581
1.5 7 5 2 8 0 0 3 4 5 61.57528003456
0.4 5 8 2 2 5 8 1 0 4 4 10.458225810441
1.5 8 2 9 2 1 7 5 4 0 11.58292175401
1.3 8 1 5 8 5 4 4 3 1 31.38158544313
0.9 0 4 0 0 9 4 3 6 0 3 80.904009436038
0.6 8 3 4 0 5 3 0 9 2 7 80.683405309278
0.3 8 9 4 3 1 3 8 7 8 3 80.389431387838
1000 element list
27
Expression 28: "Y" equals "h" left parenthesis, "X" , right parenthesis "V"Y=hXV
equals=
negative 0.5 2 7 2 4 0 6 8 7 3 6 8−0.527240687368
negative 0.9 0 7 9 4 9 2 1 5 0 8 1−0.907949215081
0.9 3 5 2 8 2 7 2 8 4 0 60.935282728406
negative 0.6 5 9 9 3 6 6 8 5 0 3 3−0.659936685033
0.1 8 8 9 9 2 0 8 0 2 6 40.188992080264
negative 0.2 5 1 8 3 7 1 4 4 8 6 6−0.251837144866
negative 0.3 6 7 5 9 2 2 2 2 9 5−0.36759222295
0.3 4 8 7 7 8 5 5 8 7 5 60.348778558756
0.4 8 5 5 9 3 7 0 7 2 1 50.485593707215
negative 0.5 4 9 0 2 9 2 4 7 1 3 5−0.549029247135
0.5 6 0 3 4 8 6 9 1 1 0 80.560348691108
0.3 6 4 9 2 8 9 5 6 4 4 70.364928956447
negative 1.0 7 4 8 4 4 5 0 2 3 5−1.07484450235
negative 0.6 9 3 0 9 9 4 4 2 5 1 7−0.693099442517
negative 0.9 0 3 8 4 9 2 8 0 9 7 4−0.903849280974
1000 element list
28
Hidden Label: left parenthesis, sign left parenthesis, "U" , right parenthesis "X" , "Y" , right parenthesissignUX,Y
Label
equals=
left parenthesis, negative 0.7 5 3 3 , negative 0.5 2 7 2 , right parenthesis−0.7533,−0.5272
left parenthesis, 0.2 2 0 9 , negative 0.9 0 7 9 , right parenthesis0.2209,−0.9079
left parenthesis, 1.1 1 , 0.9 3 5 3 , right parenthesis1.11,0.9353
left parenthesis, negative 1.2 5 9 , negative 0.6 5 9 9 , right parenthesis−1.259,−0.6599
left parenthesis, 1.2 9 1 , 0.1 8 9 , right parenthesis1.291,0.189
left parenthesis, 0.9 0 5 9 , negative 0.2 5 1 8 , right parenthesis0.9059,−0.2518
left parenthesis, negative 0.6 9 1 8 , negative 0.3 6 7 6 , right parenthesis−0.6918,−0.3676
left parenthesis, negative 0.7 9 3 7 , 0.3 4 8 8 , right parenthesis−0.7937,0.3488
left parenthesis, 1.5 7 5 , 0.4 8 5 6 , right parenthesis1.575,0.4856
left parenthesis, 0.4 5 8 2 , negative 0.5 4 9 , right parenthesis0.4582,−0.549
left parenthesis, negative 1.5 8 3 , 0.5 6 0 3 , right parenthesis−1.583,0.5603
left parenthesis, negative 1.3 8 2 , 0.3 6 4 9 , right parenthesis−1.382,0.3649
left parenthesis, negative 0.9 0 4 , negative 1.0 7 5 , right parenthesis−0.904,−1.075
left parenthesis, negative 0.6 8 3 4 , negative 0.6 9 3 1 , right parenthesis−0.6834,−0.6931
left parenthesis, negative 0.3 8 9 4 , negative 0.9 0 3 8 , right parenthesis−0.3894,−0.9038
