Expression 25: "x" Subscript, "p" 2 , Baseline left parenthesis, "t" , right parenthesis equals "x" Subscript, "x" , Baseline "X" left parenthesis, StartFraction, 2 pi Over "n" , EndFraction floor left parenthesis, "t" , right parenthesis , 2 pi mod left parenthesis, "t" , 1 , right parenthesis , right parenthesis plus "y" Subscript, "x" , Baseline "Y" left parenthesis, StartFraction, 2 pi Over "n" , EndFraction floor left parenthesis, "t" , right parenthesis , 2 pi mod left parenthesis, "t" , 1 , right parenthesis , right parenthesis plus "z" Subscript, "x" , Baseline "Z" left parenthesis, StartFraction, 2 pi Over "n" , EndFraction floor left parenthesis, "t" , right parenthesis , 2 pi mod left parenthesis, "t" , 1 , right parenthesis , right parenthesis left brace, "t" less than or equal to "n" , right bracexp2t=xxX2πnfloort,2πmodt,1+yxY2πnfloort,2πmodt,1+zxZ2πnfloort,2πmodt,1t≤n
25
Expression 26: "y" Subscript, "p" 2 , Baseline left parenthesis, "t" , right parenthesis equals "x" Subscript, "y" , Baseline "X" left parenthesis, StartFraction, 2 pi Over "n" , EndFraction floor left parenthesis, "t" , right parenthesis , 2 pi mod left parenthesis, "t" , 1 , right parenthesis , right parenthesis plus "y" Subscript, "y" , Baseline "Y" left parenthesis, StartFraction, 2 pi Over "n" , EndFraction floor left parenthesis, "t" , right parenthesis , 2 pi mod left parenthesis, "t" , 1 , right parenthesis , right parenthesis plus "z" Subscript, "y" , Baseline "Z" left parenthesis, StartFraction, 2 pi Over "n" , EndFraction floor left parenthesis, "t" , right parenthesis , 2 pi mod left parenthesis, "t" , 1 , right parenthesis , right parenthesisyp2t=xyX2πnfloort,2πmodt,1+yyY2πnfloort,2πmodt,1+zyZ2πnfloort,2πmodt,1
26
Expression 27: "X" Subscript, 1 , Baseline left parenthesis, "a" , "b" , right parenthesis equals left parenthesis, "R" plus "r" cos ( "a" ) , right parenthesis cosine "b"X1a,b=R+rcos(a)cosb
27
Expression 28: "Y" Subscript, 1 , Baseline left parenthesis, "a" , "b" , right parenthesis equals left parenthesis, "R" plus "r" cos ( "a" ) , right parenthesis sine "b"Y1a,b=R+rcos(a)sinb
28
Expression 29: "Z" Subscript, 1 , Baseline left parenthesis, "a" , "b" , right parenthesis equals "r" sine ( "a" )Z1a,b=rsin(a)
29
Expression 30: "x" Subscript, "p" 3 , Baseline left parenthesis, "t" , right parenthesis equals "x" Subscript, "x" , Baseline "X" Subscript, 1 , Baseline left parenthesis, 2 pi "n" Subscript, 1 , Baseline mod left parenthesis, "t" , 1 , right parenthesis , StartFraction, 2 "n" Subscript, 1 , Baseline pi Over "n" , EndFraction floor left parenthesis, "t" , right parenthesis , right parenthesis plus "y" Subscript, "x" , Baseline "Y" Subscript, 1 , Baseline left parenthesis, 2 "n" Subscript, 1 , Baseline pi mod left parenthesis, "t" , 1 , right parenthesis , StartFraction, 2 "n" Subscript, 1 , Baseline pi Over "n" , EndFraction floor left parenthesis, "t" , right parenthesis , right parenthesis plus "z" Subscript, "x" , Baseline "Z" Subscript, 1 , Baseline left parenthesis, 2 "n" Subscript, 1 , Baseline pi mod left parenthesis, "t" , 1 , right parenthesis , StartFraction, 2 "n" Subscript, 1 , Baseline pi Over "n" , EndFraction floor left parenthesis, "t" , right parenthesis , right parenthesis left brace, "t" less than or equal to "n" , right bracexp3t=xxX12πn1modt,1,2n1πnfloort+yxY12n1πmodt,1,2n1πnfloort+zxZ12n1πmodt,1,2n1πnfloortt≤n
30
Expression 31: "y" Subscript, "p" 3 , Baseline left parenthesis, "t" , right parenthesis equals "x" Subscript, "y" , Baseline "X" Subscript, 1 , Baseline left parenthesis, 2 "n" Subscript, 1 , Baseline pi mod left parenthesis, "t" , 1 , right parenthesis , StartFraction, 2 "n" Subscript, 1 , Baseline pi Over "n" , EndFraction floor left parenthesis, "t" , right parenthesis , right parenthesis plus "y" Subscript, "y" , Baseline "Y" Subscript, 1 , Baseline left parenthesis, 2 "n" Subscript, 1 , Baseline pi mod left parenthesis, "t" , 1 , right parenthesis , StartFraction, 2 "n" Subscript, 1 , Baseline pi Over "n" , EndFraction floor left parenthesis, "t" , right parenthesis , right parenthesis plus "z" Subscript, "y" , Baseline "Z" Subscript, 1 , Baseline left parenthesis, 2 "n" Subscript, 1 , Baseline pi mod left parenthesis, "t" , 1 , right parenthesis , StartFraction, 2 "n" Subscript, 1 , Baseline pi Over "n" , EndFraction floor left parenthesis, "t" , right parenthesis , right parenthesisyp3t=xyX12n1πmodt,1,2n1πnfloort+yyY12n1πmodt,1,2n1πnfloort+zyZ12n1πmodt,1,2n1πnfloort
31
Expression 32: "n" Subscript, 1 , Baseline equals 10n1=10
negative 10−10
200200
32
Expression 33: left parenthesis, "x" Subscript, "p" 3 , Baseline left parenthesis, "t" , right parenthesis , "y" Subscript, "p" 3 , Baseline left parenthesis, "t" , right parenthesis , right parenthesisxp3t,yp3t
domain t Minimum: 00
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 400400
33
Expression 34: "X" Subscript, 2 , Baseline left parenthesis, "a" , "b" , right parenthesis equals 0.1 5 "R" cosine ( "b" ) sine ( "a" )X2a,b=0.15Rcos(b)sin(a)
34
Expression 35: "Y" Subscript, 2 , Baseline left parenthesis, "a" , "b" , right parenthesis equals 0.1 5 "R" sine left parenthesis, "b" , right parenthesis sine left parenthesis, "a" , right parenthesisY2a,b=0.15Rsinbsina
35
Expression 36: "Z" Subscript, 2 , Baseline left parenthesis, "a" , "b" , right parenthesis equals "h" "a" plus 1Z2a,b=ha+1
36
Expression 37: "x" Subscript, "p" 6 , Baseline left parenthesis, "t" , right parenthesis equals "x" Subscript, "x" , Baseline "X" Subscript, 2 , Baseline left parenthesis, StartFraction, 2 pi Over "n" , EndFraction floor left parenthesis, "t" , right parenthesis , 2 pi mod left parenthesis, "t" , 1 , right parenthesis , right parenthesis plus "y" Subscript, "x" , Baseline "Y" Subscript, 2 , Baseline left parenthesis, StartFraction, 2 pi Over "n" , EndFraction floor left parenthesis, "t" , right parenthesis , 2 pi mod left parenthesis, "t" , 1 , right parenthesis , right parenthesis plus "z" Subscript, "x" , Baseline "Z" Subscript, 2 , Baseline left parenthesis, StartFraction, 2 pi Over "n" , EndFraction floor left parenthesis, "t" , right parenthesis , 2 pi mod left parenthesis, "t" , 1 , right parenthesis , right parenthesis left brace, "t" less than or equal to "n" , right bracexp6t=xxX22πnfloort,2πmodt,1+yxY22πnfloort,2πmodt,1+zxZ22πnfloort,2πmodt,1t≤n
37
Expression 38: "y" Subscript, "p" 6 , Baseline left parenthesis, "t" , right parenthesis equals "x" Subscript, "y" , Baseline "X" Subscript, 2 , Baseline left parenthesis, StartFraction, 2 pi Over "n" , EndFraction floor left parenthesis, "t" , right parenthesis , 2 pi mod left parenthesis, "t" , 1 , right parenthesis , right parenthesis plus "y" Subscript, "y" , Baseline "Y" Subscript, 2 , Baseline left parenthesis, StartFraction, 2 pi Over "n" , EndFraction floor left parenthesis, "t" , right parenthesis , 2 pi mod left parenthesis, "t" , 1 , right parenthesis , right parenthesis plus "z" Subscript, "y" , Baseline "Z" Subscript, 2 , Baseline left parenthesis, StartFraction, 2 pi Over "n" , EndFraction floor left parenthesis, "t" , right parenthesis , 2 pi mod left parenthesis, "t" , 1 , right parenthesis , right parenthesisyp6t=xyX22πnfloort,2πmodt,1+yyY22πnfloort,2πmodt,1+zyZ22πnfloort,2πmodt,1
38
Expression 39: left parenthesis, "x" Subscript, "p" 6 , Baseline left parenthesis, "t" , right parenthesis plus 0 , "y" Subscript, "p" 6 , Baseline left parenthesis, "t" , right parenthesis , right parenthesisxp6t+0,yp6t
domain t Minimum: 00
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 4040
39
fondnoire1.jpg
Change Image
Center:
center: left parenthesis, 0 , 0 , right parenthesis0,0
Width:
width: 39.239.2
Angle:
angle: 00
Height:
height: 21.621.6
Opacity:
opacity: 11
40
Expression 41: "s" equals 0.9 8s=0.98
00
2 pi2π
41
Expression 42: left parenthesis, 0.2sin left parenthesis, 3 "t" minus "s" , right parenthesis minus 12.3 , "t" minus 5 , right parenthesis0.2sin3t−s−12.3,t−5
domain t Minimum: 00
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 2.5 72.57
42
Expression 43: left parenthesis, 0.2cos left parenthesis, 5 "t" minus "s" , right parenthesis minus 12.3 , "t" minus 5 , right parenthesis0.2cos5t−s−12.3,t−5
domain t Minimum: 00
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 2.52.5
43
Expression 44: left parenthesis, 0.2sin left parenthesis, 4 "t" minus "s" , right parenthesis minus 12.1 , "t" minus 5 , right parenthesis0.2sin4t−s−12.1,t−5
domain t Minimum: 00
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 1.21.2
44
Expression 45: left parenthesis, negative 0.2cos left parenthesis, 3 "t" minus "s" , right parenthesis minus 12 , "t" minus 5 , right parenthesis−0.2cos3t−s−12,t−5
domain t Minimum: 00
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 1.5 71.57
45
Expression 46: left parenthesis, 0.2cos left parenthesis, 3 "t" minus "s" , right parenthesis minus 12.5 , "t" minus 5 , right parenthesis0.2cos3t−s−12.5,t−5
domain t Minimum: 00
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 1.5 71.57
46
Expression 47: left parenthesis, "x" plus 12.3 , right parenthesis squared plus 4 left parenthesis, "y" plus "v" , right parenthesis squared equals 0.2x+12.32+4y+v2=0.2
47
Expression 48: "v" equals left bracket, 5 , 5.1 , ... , 7 , right bracketv=5,5.1,...,7