Expression 9: "z" Subscript, "m" "u" "l" , Baseline left parenthesis, "p" , "q" , right parenthesis equals left parenthesis, "p" . "x" times "q" . "x" minus "p" . "y" times "q" . "y" , "p" . "x" times "q" . "y" plus "p" . "y" times "q" . "x" , right parenthesiszmulp,q=p.x·q.x−p.y·q.y,p.x·q.y+p.y·q.x
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Expression 10: "z" Subscript, "m" "o" "d" , Baseline left parenthesis, "p" , right parenthesis equals StartRoot, "p" . "x" squared plus "p" . "y" squared , EndRootzmodp=p.x2+p.y2
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Expression 11: "z" Subscript, "u" "c" "s" , Baseline left parenthesis, "s" , right parenthesis equals left parenthesis, cos "s" , sin "s" , right parenthesiszucss=coss,sins
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Expression 12: "z" Subscript, "r" "c" "p" , Baseline left parenthesis, "p" , right parenthesis equals StartFraction, 1 Over "p" . "x" squared plus "p" . "y" squared , EndFraction left parenthesis, "p" . "x" , negative "p" . "y" , right parenthesiszrcpp=1p.x2+p.y2p.x,−p.y
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Expression 13: "z" Subscript, "i" "r" "t" , Baseline left parenthesis, "p" , "s" , right parenthesis equals "z" Subscript, "s" "c" "l" , Baseline left parenthesis, "z" Subscript, "u" "c" "s" , Baseline left parenthesis, StartFraction, "z" Subscript, "d" "i" "r" , Baseline left parenthesis, "p" , right parenthesis Over "s" , EndFraction , right parenthesis , StartRoot, "z" Subscript, "m" "o" "d" , Baseline left parenthesis, "p" , right parenthesis , EndRoot , right parenthesiszirtp,s=zsclzucszdirps,zmodp
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Expression 14: "z" Subscript, "r" "p" "o" "w" , Baseline left parenthesis, "p" , "a" , right parenthesis equals "z" Subscript, "m" "u" "l" , Baseline left parenthesis, left parenthesis, "z" Subscript, "m" "o" "d" , Baseline left parenthesis, "p" , right parenthesis Superscript, "a" , Baseline , 0 , right parenthesis , "z" Subscript, "u" "c" "s" , Baseline left parenthesis, "z" Subscript, "d" "i" "r" , Baseline left parenthesis, "p" , right parenthesis "a" , right parenthesis , right parenthesiszrpowp,a=zmulzmodpa,0,zucszdirpa
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Expression 15: "z" Subscript, "C" "p" "o" "w" , Baseline left parenthesis, "p" , "q" , right parenthesis equals exponent left parenthesis, "q" . "x" times ln left parenthesis, "z" Subscript, "m" "o" "d" , Baseline left parenthesis, "p" , right parenthesis , right parenthesis minus "q" . "y" times "z" Subscript, "d" "i" "r" , Baseline left parenthesis, "p" , right parenthesis , right parenthesis "z" Subscript, "u" "c" "s" , Baseline left parenthesis, "q" . "x" times "z" Subscript, "d" "i" "r" , Baseline left parenthesis, "p" , right parenthesis plus "q" . "y" times ln left parenthesis, "z" Subscript, "m" "o" "d" , Baseline left parenthesis, "p" , right parenthesis , right parenthesis , right parenthesiszCpowp,q=expq.x·lnzmodp−q.y·zdirpzucsq.x·zdirp+q.y·lnzmodp
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Expression 16: "s" left parenthesis, "a" , "b" , right parenthesis equals "z" Subscript, "C" "p" "o" "w" , Baseline left parenthesis, left parenthesis, "a" , "b" , right parenthesis , "z" Subscript, "r" "c" "p" , Baseline left parenthesis, left parenthesis, "a" , "b" , right parenthesis , right parenthesis , right parenthesissa,b=zCpowa,b,zrcpa,b
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Expression 17: "z" equals absolute value left parenthesis, "s" left parenthesis, "x" , "y" , right parenthesis . "x" , right parenthesis minus 2 times absolute value left parenthesis, cos left parenthesis, "s" left parenthesis, "x" , "y" , right parenthesis . "y" , right parenthesis , right parenthesisz=abssx,y.x−2·abscossx,y.y
