Expression 10: "s" Subscript, "a" "w" "t" "o" "o" "t" "h" , Baseline left parenthesis, "x" , "s" , right parenthesis equals "s" Subscript, "i" "n" "v" , Baseline left parenthesis, StartFraction, sin left parenthesis, pi left parenthesis, "x" minus 0.5 , right parenthesis times "r" left parenthesis, StartNestedFraction, left parenthesis, "x" minus 0.5 , right parenthesis NestedOver 2 , EndNestedFraction , "s" , right parenthesis , right parenthesis Over 2 , EndFraction plus 0.5 , right parenthesissawtoothx,s=sinvsinπx−0.5·rx−0.52,s2+0.5
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Expression 11: "r" left parenthesis, "x" , "s" , right parenthesis equals hyperbolic tangent left parenthesis, "s" sin left parenthesis, 2 pi left parenthesis, "x" minus 0.2 5 , right parenthesis , right parenthesis , right parenthesisrx,s=tanhssin2πx−0.25
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Expression 12: "s" Subscript, "i" "n" "v" , Baseline left parenthesis, "x" , right parenthesis equals StartFraction, arcsin left parenthesis, 2 left parenthesis, "x" minus 0.5 , right parenthesis , right parenthesis Over pi , EndFraction plus 0.5sinvx=arcsin2x−0.5π+0.5
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Expression 13: "f" Subscript, "l" "o" "o" "r" , Baseline left parenthesis, "x" , "s" , right parenthesis equals "x" plus "s" Subscript, "a" "w" "t" "o" "o" "t" "h" , Baseline left parenthesis, "x" , "s" , right parenthesis minus 1floorx,s=x+sawtoothx,s−1
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Expression 14: "m" Subscript, "o" "d" , Baseline left parenthesis, "x" , "n" , "s" , right parenthesis equals "x" minus "n" times "f" Subscript, "l" "o" "o" "r" , Baseline left parenthesis, StartFraction, "x" Over "n" , EndFraction , "s" , right parenthesismodx,n,s=x−n·floorxn,s
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Expression 15: piπ
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Expression 16: "V" left parenthesis, 10000 , right parenthesisV10000
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Expression 17: "P" equals left bracket, left parenthesis, "x" Subscript, "p" , Baseline left parenthesis, "n" , "k" , right parenthesis , "y" Subscript, "p" , Baseline left parenthesis, "n" , "k" , right parenthesis , right parenthesis for "n" equals left bracket, 0... left parenthesis, "k" plus 1 , right parenthesis squared minus 1 , right bracket , right bracketP=xpn,k,ypn,kforn=0...k+12−1
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Expression 18: "k" equals 9k=9
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Expression 19: floor left parenthesis, "x" , right parenthesisfloorx
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Expression 20: "f" Subscript, "l" "o" "o" "r" , Baseline left parenthesis, "x" , 10 , right parenthesisfloorx,10
