Expression 21: "y" equals 1 left brace, "x" greater than or equal to 0 , right brace left brace, "x" less than or equal to 1 , right bracey=1x≥0x≤1
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Expression 22: "y" equals "p" left brace, "x" greater than or equal to 0 , right brace left brace, "x" less than or equal to 1 half , right bracey=px≥0x≤12
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Expression 23: "y" equals negative 5 "p" left parenthesis, "x" minus 1 half , right parenthesis plus "p" left brace, "x" greater than or equal to 1 half , right brace left brace, "x" less than or equal to StartFraction, 7 Over 10 , EndFraction , right bracey=−5px−12+px≥12x≤710
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Expression 24: "y" equals 0 left brace, "x" greater than or equal to StartFraction, 7 Over 10 , EndFraction , right brace left brace, "x" less than or equal to StartFraction, 8 Over 10 , EndFraction , right bracey=0x≥710x≤810
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Expression 25: "y" equals 5 "p" left parenthesis, "x" minus StartFraction, 8 Over 10 , EndFraction , right parenthesis left brace, "x" greater than or equal to StartFraction, 8 Over 10 , EndFraction , right brace left brace, "x" less than or equal to 1 , right bracey=5px−810x≥810x≤1
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Time markers
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Off to infinity
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31
I call this jagged x, which I use to make the dotted yellow line loop
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Expression 33: "j" left parenthesis, "x" , right parenthesis equals "x" minus floor left parenthesis, "x" , right parenthesisjx=x−floorx
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Loop from this y value, this value is also the overall gain over time
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Expression 35: "l" equals "d" left parenthesis, 1 , right parenthesis minus "r"l=d1−r
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Expression 36: "y" equals "l" "x" plus "r" left brace, "x" greater than or equal to 0 , right bracey=lx+rx≥0
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Expression 37: "a" Subscript, 1 , Baseline equals left parenthesis, "p" minus 1 , right parenthesis "j" left parenthesis, "x" , right parenthesis plus "r" plus floor left parenthesis, "x" , right parenthesis "l" left brace, "j" left parenthesis, "x" , right parenthesis less than or equal to 1 half , right brace left brace, "x" greater than or equal to 1 , right bracea1=p−1jx+r+floorxljx≤12x≥1
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Expression 38: "b" Subscript, 1 , Baseline left parenthesis, "x" , right parenthesis equals "a" left parenthesis, 1 half , right parenthesis minus left parenthesis, "j" left parenthesis, "x" , right parenthesis minus 1 half , right parenthesis plus "p" "g" left parenthesis, "j" left parenthesis, "x" , right parenthesis minus 1 half , right parenthesis plus floor left parenthesis, "x" , right parenthesis "l" left brace, "j" left parenthesis, "x" , right parenthesis greater than or equal to 1 half , right brace left brace, "j" left parenthesis, "x" , right parenthesis less than or equal to StartFraction, 7 Over 10 , EndFraction , right brace left brace, "x" greater than or equal to 1 , right braceb1x=a12−jx−12+pgjx−12+floorxljx≥12jx≤710x≥1
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Expression 39: "c" Subscript, 1 , Baseline left parenthesis, "x" , right parenthesis equals "b" left parenthesis, StartFraction, 7 Over 10 , EndFraction , right parenthesis minus left parenthesis, "j" left parenthesis, "x" , right parenthesis minus StartFraction, 7 Over 10 , EndFraction , right parenthesis plus floor left parenthesis, "x" , right parenthesis "l" left brace, "j" left parenthesis, "x" , right parenthesis greater than or equal to StartFraction, 7 Over 10 , EndFraction , right brace left brace, "j" left parenthesis, "x" , right parenthesis less than or equal to StartFraction, 8 Over 10 , EndFraction , right brace left brace, "x" greater than or equal to 1 , right bracec1x=b710−jx−710+floorxljx≥710jx≤810x≥1
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Expression 40: "d" Subscript, 1 , Baseline left parenthesis, "x" , right parenthesis equals "c" left parenthesis, StartFraction, 8 Over 10 , EndFraction , right parenthesis minus left parenthesis, "j" left parenthesis, "x" , right parenthesis minus StartFraction, 8 Over 10 , EndFraction , right parenthesis plus "p" "f" left parenthesis, "j" left parenthesis, "x" , right parenthesis minus StartFraction, 8 Over 10 , EndFraction , right parenthesis plus floor left parenthesis, "x" , right parenthesis "l" left brace, "j" left parenthesis, "x" , right parenthesis greater than or equal to StartFraction, 8 Over 10 , EndFraction , right brace left brace, "j" left parenthesis, "x" , right parenthesis less than or equal to 1 , right brace left brace, "x" greater than or equal to 1 , right braced1x=c810−jx−810+pfjx−810+floorxljx≥810jx≤1x≥1