Expression 17: "P" Subscript, "e" "l" "i" "p" "s" "e" , Baseline left parenthesis, "w" , "h" , theta , "r" , right parenthesis equals left parenthesis, "r" Subscript, "o" "t" "a" "t" "e" 2 "D" "x" , Baseline left parenthesis, "w" times cos left parenthesis, theta , right parenthesis , "h" times sin left parenthesis, theta , right parenthesis , "r" , right parenthesis , "r" Subscript, "o" "t" "a" "t" "e" 2 "D" "y" , Baseline left parenthesis, "w" times cos left parenthesis, theta , right parenthesis , "h" times sin left parenthesis, theta , right parenthesis , "r" , right parenthesis , right parenthesisPelipsew,h,θ,r=rotate2Dxw·cosθ,h·sinθ,r,rotate2Dyw·cosθ,h·sinθ,r
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Expression 18: "f" Subscript, "w" , Baseline left parenthesis, "I" , right parenthesis equals "I" times "p" Subscript, "w" , BaselinefwI=I·pw
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Expression 19: "f" Subscript, "h" , Baseline left parenthesis, "I" , right parenthesis equals "I" times "p" Subscript, "h" , BaselinefhI=I·ph
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Expression 20: "f" Subscript, "R" , Baseline left parenthesis, "I" , right parenthesis equals "I" times "p" Subscript, "t" "w" "i" "s" "t" , BaselinefRI=I·ptwist
Expression 25: "P" Subscript, "c" "R" "a" "n" "d" , Baseline equals random left parenthesis, "N" Subscript, "i" , Baseline times "N" Subscript, "s" , Baseline , right parenthesisPcRand=randomNi·Ns
Expression 31: "r" Subscript, "o" "t" "a" "t" "e" 2 "D" "x" , Baseline left parenthesis, "x" , "y" , theta , right parenthesis equals "r" Subscript, "o" "t" "a" "t" "e" 2 "D" , Baseline left parenthesis, "x" , "y" , theta , right parenthesis . "x"rotate2Dxx,y,θ=rotate2Dx,y,θ.x
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Expression 32: "r" Subscript, "o" "t" "a" "t" "e" 2 "D" "y" , Baseline left parenthesis, "x" , "y" , theta , right parenthesis equals "r" Subscript, "o" "t" "a" "t" "e" 2 "D" , Baseline left parenthesis, "x" , "y" , theta , right parenthesis . "y"rotate2Dyx,y,θ=rotate2Dx,y,θ.y
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Expression 33: "r" Subscript, "o" "t" "a" "t" "e" 2 "D" , Baseline left parenthesis, "x" , "y" , theta , right parenthesis equals left parenthesis, StartRoot, "x" squared plus "y" squared , EndRoot times cos left parenthesis, theta plus arctan left parenthesis, "y" , "x" , right parenthesis , right parenthesis , StartRoot, "x" squared plus "y" squared , EndRoot times sin left parenthesis, theta plus arctan left parenthesis, "y" , "x" , right parenthesis , right parenthesis , right parenthesisrotate2Dx,y,θ=x2+y2·cosθ+arctany,x,x2+y2·sinθ+arctany,x