Expression 7: "m" left parenthesis, "x" , "t" , right parenthesis equals floor left parenthesis, StartFraction, "t" Over 6 pi , EndFraction , right parenthesis plus mod left parenthesis, "x" plus 1 third floor left parenthesis, StartFraction, "t" Over 2 pi , EndFraction , right parenthesis minus .2floor left parenthesis, StartFraction, "t" Over 6 pi , EndFraction , right parenthesis , 1 , right parenthesismx,t=floort6π+modx+13floort2π−.2floort6π,1
7
Expression 8: left parenthesis, "R" Subscript, "g" , Baseline left parenthesis, "m" left parenthesis, "u" , "t" , right parenthesis , right parenthesis times cos left parenthesis, 2 pi times "m" left parenthesis, "u" , "t" , right parenthesis , right parenthesis plus .0 1 times cos left parenthesis, "t" , right parenthesis , "R" Subscript, "g" , Baseline left parenthesis, "m" left parenthesis, "u" , "t" , right parenthesis , right parenthesis times sin left parenthesis, 2 pi "m" left parenthesis, "u" , "t" , right parenthesis , right parenthesis plus .0 1 times sin left parenthesis, "t" , right parenthesis , right parenthesisRgmu,t·cos2π·mu,t+.01·cost,Rgmu,t·sin2πmu,t+.01·sint
domain t Minimum: 00
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 564564
8
Expression 9: "u" equals 9.1 3 6u=9.136
00
1010
9
E: central excentricity (R/r) Lg: length of excentricity enveloppe da: spiraling s: scaling