Expression 13: "q" equals StartFraction, left parenthesis, "b" minus "a" , right parenthesis Over "M" , EndFractionq=b−aM
equals=
1.6 4 4 4 4 4 4 4 4 4 41.64444444444
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s(n) gives the location to evaluate the function in the nth partition
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Expression 15: "s" left parenthesis, "n" , right parenthesis equals "a" plus "q" left parenthesis, "n" plus "c" , right parenthesissn=a+qn+c
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n_x(x) is the number of the partition that x falls in.
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Expression 17: "n" Subscript, "x" , Baseline left parenthesis, "x" , right parenthesis equals floor left parenthesis, StartFraction, "x" minus "a" Over "q" , EndFraction , right parenthesisnxx=floorx−aq
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Expression 18: 0 less than or equal to "y" less than or equal to "f" left parenthesis, "s" Subscript, "x" , Baseline left parenthesis, "x" , right parenthesis , right parenthesis0≤y≤fsxx
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Expression 19: "f" left parenthesis, "s" Subscript, "x" , Baseline left parenthesis, "x" , right parenthesis , right parenthesis less than or equal to "y" less than or equal to 0fsxx≤y≤0
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Expression 20: "s" Subscript, "x" , Baseline left parenthesis, "x" , right parenthesis equals left brace, "a" less than or equal to "x" less than or equal to "b" : "s" left parenthesis, "n" Subscript, "x" , Baseline left parenthesis, "x" , right parenthesis , right parenthesis , right bracesxx=a≤x≤b:snxx