Expression 4: "Z" left parenthesis, "u" , "v" , right parenthesis equals 1.2 "v" Superscript, 0.7 , Baseline left parenthesis, sin left parenthesis, "u" , right parenthesis "N" left parenthesis, "u" , "v" , right parenthesis minus 2.5 , right parenthesisZu,v=1.2v0.7sinuNu,v−2.5
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Expression 5: left parenthesis, 0.5 "X" left parenthesis, "u" , "v" , right parenthesis plus 0.9 "Z" left parenthesis, "u" , "v" , right parenthesis plus 2 , "Y" left parenthesis, "u" , "v" , right parenthesis , negative 0.9 "X" left parenthesis, "u" , "v" , right parenthesis plus 0.5 "Z" left parenthesis, "u" , "v" , right parenthesis plus 1.8 , right parenthesis0.5Xu,v+0.9Zu,v+2,Yu,v,−0.9Xu,v+0.5Zu,v+1.8
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domain u Minimum:
less than or equal to "u" less than or equal to≤u≤
domain u Maximum: 2 pi2π
00
domain v Minimum:
less than or equal to "v" less than or equal to≤v≤
domain v Maximum: 11
5
Expression 6: "w" left parenthesis, "x" , "y" , right parenthesis equals 0.1sine left parenthesis, 4 "x" minus sin left parenthesis, "y" , right parenthesis , right parenthesis cosine left parenthesis, 4 "y" , right parenthesis left parenthesis, 0.5 minus 2.5 "b" left parenthesis, "x" , "y" , right parenthesis , right parenthesiswx,y=0.1sin4x−sinycos4y0.5−2.5bx,y
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Expression 7: "b" left parenthesis, "x" , "y" , right parenthesis equals 0.2hyperbolic tangent left parenthesis, 0.5 "x" plus 0.5 , right parenthesis plus 0.1sine left parenthesis, "x" , right parenthesis cosine left parenthesis, "y" , right parenthesis plus 0.0 0 2sine left parenthesis, 120 "x" , right parenthesis sine left parenthesis, 120 "y" , right parenthesisbx,y=0.2tanh0.5x+0.5+0.1sinxcosy+0.002sin120xsin120y
