Expression 11: "m" equals StartFraction, left parenthesis, "p" . "y" minus "q" . "y" , right parenthesis Over left parenthesis, "p" . "x" minus "q" . "x" , right parenthesis , EndFractionm=p.y−q.yp.x−q.x
equals=
0.6 6 7 0 1 0 3 0 9 2 7 80.667010309278
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Catenaria
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Expression 13: "f" left parenthesis, "x" , right parenthesis equals "a" hyperbolic cosine left parenthesis, StartFraction, "x" Over "a" , EndFraction , right parenthesisfx=acoshxa
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Expression 14: "a" equals StartFraction, "d" Over "M" , EndFractiona=dM
equals=
7.1 9 7 4 0 6 4 5 3 4 17.19740645341
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Expression 15: "M" equals 1.6 2M=1.62
0.0 10.01
55
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Expression 16: "o" equals "f" left parenthesis, negative StartFraction, "d" Over 2 , EndFraction , right parenthesiso=f−d2
equals=
9.6 9 0 4 6 5 8 8 3 3 39.69046588333
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Expression 17: "j" left parenthesis, "x" , right parenthesis equals "x" negative StartFraction, "d" Over 2 , EndFractionjx=x−d2
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Expression 18: "t" equals 0.9 5 4t=0.954
00
11
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Expression 19: "v" left parenthesis, "x" , right parenthesis equals left parenthesis, 1 minus "x" , right parenthesis times "p" . "x" positive "x" times "q" . "x"vx=1−x·p.x+x·q.x
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Expression 20: "h" left parenthesis, "x" , right parenthesis equals StartFraction, left parenthesis, "x" negative min left parenthesis, "p" . "x" , "q" . "x" , right parenthesis , right parenthesis Over StartAbsoluteValue, "p" . "x" minus "q" . "x" , EndAbsoluteValue plus 0.0 0 0 1 , EndFractionhx=x−minp.x,q.xp.x−q.x+0.0001
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Expression 21: "y" equals "l" left parenthesis, "x" , right parenthesis minus left parenthesis, "o" negative "f" left parenthesis, "j" left parenthesis, "h" left parenthesis, "x" , right parenthesis times "d" , right parenthesis , right parenthesis , right parenthesis left brace, max left parenthesis, "p" . "x" , "q" . "x" , right parenthesis greater than or equal to "x" greater than or equal to min left parenthesis, "p" . "x" , "q" . "x" , right parenthesis , right bracey=lx−o−fjhx·dmaxp.x,q.x≥x≥minp.x,q.x