表达式10: sine left parenthesis, pi "x" , right parenthesis sine left parenthesis, pi "y" , right parenthesis equals 0sinπxsinπy=0
10
f(u) = cos(θ), -1<=u<=1
11
表达式12: "f" left parenthesis, "u" , right parenthesis equals 1 half StartFraction, left parenthesis, 1 minus "g" squared , right parenthesis Over left parenthesis, 1 plus "g" squared minus 2 "g" "u" , right parenthesis Superscript, 3 halves , Baseline , EndFraction left brace, negative 1 less than or equal to "u" less than or equal to 1 , right bracefu=121−g21+g2−2gu32−1≤u≤1
12
表达式13: "F" left parenthesis, "u" , right parenthesis equals 1 half StartFraction, left parenthesis, 1 minus "g" squared , right parenthesis Over "g" StartRoot, 1 plus "g" squared minus 2 "g" "u" , EndRoot , EndFraction minus StartFraction, 1 minus "g" Over 2 "g" , EndFraction left brace, negative 1 less than or equal to "u" less than or equal to 1 , right braceFu=121−g2g1+g2−2gu−1−g2g−1≤u≤1
13
表达式14: "F" Subscript, "i" "n" "v" , Baseline left parenthesis, "x" , right parenthesis equals StartFraction, 1 Over 2 "g" , EndFraction left parenthesis, 1 plus "g" squared minus left parenthesis, StartFraction, left parenthesis, 1 minus "g" squared , right parenthesis Over 2 "g" left parenthesis, "x" plus StartNestedFraction, 1 minus "g" NestedOver 2 "g" , EndNestedFraction , right parenthesis , EndFraction , right parenthesis squared , right parenthesis left brace, 0 less than or equal to "x" less than or equal to 1 , right braceFinvx=12g1+g2−1−g22gx+1−g2g20≤x≤1
14
表达式15: "N" equals 1000N=1000
15
表达式16: "u" Subscript, "s" , Baseline equals "F" Subscript, "i" "n" "v" , Baseline left parenthesis, random left parenthesis, "N" , right parenthesis , right parenthesisus=FinvrandomN
16
表达式17: theta Subscript, "s" , Baseline equals arc cosine left parenthesis, "u" Subscript, "s" , Baseline , right parenthesisθs=arccosus
17
表达式18: phi Subscript, "s" , Baseline equals 2 pi random left parenthesis, "N" , right parenthesisϕs=2πrandomN
18
表达式19: left parenthesis, "X" Subscript, "s" , Baseline left parenthesis, cos left parenthesis, phi Subscript, "s" , Baseline , right parenthesis sin left parenthesis, theta Subscript, "s" , Baseline , right parenthesis , sin left parenthesis, phi Subscript, "s" , Baseline , right parenthesis sin left parenthesis, theta Subscript, "s" , Baseline , right parenthesis , cos left parenthesis, theta Subscript, "s" , Baseline , right parenthesis , right parenthesis , "Y" Subscript, "s" , Baseline left parenthesis, cos left parenthesis, phi Subscript, "s" , Baseline , right parenthesis sin left parenthesis, theta Subscript, "s" , Baseline , right parenthesis , sin left parenthesis, phi Subscript, "s" , Baseline , right parenthesis sin left parenthesis, theta Subscript, "s" , Baseline , right parenthesis , cos left parenthesis, theta Subscript, "s" , Baseline , right parenthesis , right parenthesis , right parenthesisXscosϕssinθs,sinϕssinθs,cosθs,Yscosϕssinθs,sinϕssinθs,cosθs
