表达式8: "x" equals StartFraction, 2arctan left parenthesis, StartNestedFraction, StartRoot, "c" plus 1 , EndRoot tanh left parenthesis, StartNestedFraction, "y" NestedOver 2 , EndNestedFraction , right parenthesis NestedOver StartRoot, "c" minus 1 , EndRoot , EndNestedFraction , right parenthesis Over StartRoot, "c" minus 1 , EndRoot StartRoot, "c" plus 1 , EndRoot , EndFractionx=2arctanc+1tanhy2c−1c−1c+1
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Modifying the below function until it sufficiently approximates f(x)^-1:
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表达式10: "g" left parenthesis, "y" , right parenthesis equals StartFraction, 2arctan left parenthesis, StartNestedFraction, StartRoot, "c" plus 1 , EndRoot tanh left parenthesis, StartNestedFraction, "y" NestedOver 2 , EndNestedFraction , right parenthesis NestedOver StartRoot, "c" minus 1 , EndRoot , EndNestedFraction , right parenthesis Over StartRoot, "c" minus 1 , EndRoot StartRoot, "c" plus 1 , EndRoot , EndFraction plus StartFraction, "y" Over 29 , EndFraction plus "h" left parenthesis, "y" , right parenthesisgy=2arctanc+1tanhy2c−1c−1c+1+y29+hy
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表达式11: "k" equals left bracket, 0 , 1 , 2 , ... , 60 times "b" , right bracketk=0,1,2,...,60·b
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表达式12: "b" equals 1b=1
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表达式13: left parenthesis, StartFraction, "k" pi Over 180 "b" , EndFraction , "f" left parenthesis, StartFraction, "k" pi Over 180 "b" , EndFraction , right parenthesis , right parenthesiskπ180b,fkπ180b
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表达式14: left parenthesis, "g" left parenthesis, "f" left parenthesis, StartFraction, "k" pi Over 180 "b" , EndFraction , right parenthesis , right parenthesis , "f" left parenthesis, StartFraction, "k" pi Over 180 "b" , EndFraction , right parenthesis , right parenthesisgfkπ180b,fkπ180b
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表达式15: left parenthesis, "g" left parenthesis, "f" left parenthesis, StartFraction, "k" pi Over 180 "b" , EndFraction , right parenthesis , right parenthesis minus StartFraction, "k" pi Over 180 "b" , EndFraction , "f" left parenthesis, StartFraction, "k" pi Over 180 "b" , EndFraction , right parenthesis , right parenthesisgfkπ180b−kπ180b,fkπ180b
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表达式16: Start sum from "n" equals 0 to 60 "b" , end sum, "g" left parenthesis, "f" left parenthesis, StartFraction, "n" pi Over 180 "b" , EndFraction , right parenthesis , right parenthesis60b∑n=0gfnπ180b