Expression 3: left bracket, "F" left parenthesis, left brace, "j" less than or equal to "i" : StartFraction, 1 Over 15 left parenthesis, "i" plus 1 , right parenthesis , EndFraction "f" left parenthesis, mod left parenthesis, "O" "t" , 1 , right parenthesis , right parenthesis plus left parenthesis, StartRoot, "O" , EndRoot left parenthesis, StartFraction, "j" Over "i" plus 1 , EndFraction minus 1 half , right parenthesis , 1 left parenthesis, StartFraction, 2 Over "i" plus 1 , EndFraction minus 1 , right parenthesis , right parenthesis , right brace , StartFraction, floor left parenthesis, "O" "t" , right parenthesis Over "O" , EndFraction , right parenthesis for "i" equals left bracket, 1... "I" , right bracket , "j" equals left bracket, 1... "I" , right bracket , right bracket Has graph.Fj≤i:115i+1fmodOt,1+Oji+1−12,12i+1−1,floorOtOfori=1...I,j=1...I
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
3
4
Expression 5: "f" left parenthesis, "t" , right parenthesis equals left parenthesis, cos left parenthesis, tau "t" , right parenthesis , sin left parenthesis, tau "t" , right parenthesis , right parenthesisft=cosτt,sinτt
5
Expression 6: "F" left parenthesis, "T" , "t" , right parenthesis equals left parenthesis, "f" left parenthesis, "t" , right parenthesis . "x" "T" . "x" minus "f" left parenthesis, "t" , right parenthesis . "y" "T" . "y" , "f" left parenthesis, "t" , right parenthesis . "y" "T" . "x" plus "f" left parenthesis, "t" , right parenthesis . "x" "T" . "y" , right parenthesisFT,t=ft.xT.x−ft.yT.y,ft.yT.x+ft.xT.y
6
Expression 7: Lambda equals rgb left parenthesis, 0 , 244 , 124 , right parenthesis equals light cyanΛ=rgb0,244,124