Expression 13: "V" equals vector left parenthesis, left parenthesis, 0 , 0 , 0 , right parenthesis , "P" left parenthesis, left bracket, negative 20 , ... , 20 , right bracket , right parenthesis , right parenthesisV=vector0,0,0,P−20,...,20
13
Just Endpoints
14
Expression 15: "V" .V.end
equals=
left parenthesis, negative 0.9 1 2 9 , 0.8 1 6 2 , negative 5 , right parenthesis−0.9129,0.8162,−5
left parenthesis, negative 0.1 4 9 9 , 1.9 7 7 , negative 4.7 5 , right parenthesis−0.1499,1.977,−4.75
left parenthesis, 0.7 5 1 , 1.3 2 1 , negative 4.5 , right parenthesis0.751,1.321,−4.5
left parenthesis, 0.9 6 1 4 , negative 0.5 5 0 3 , negative 4.2 5 , right parenthesis0.9614,−0.5503,−4.25
left parenthesis, 0.2 8 7 9 , negative 1.9 1 5 , negative 4 , right parenthesis0.2879,−1.915,−4
left parenthesis, negative 0.6 5 0 3 , negative 1.5 1 9 , negative 3.7 5 , right parenthesis−0.6503,−1.519,−3.75
left parenthesis, negative 0.9 9 0 6 , 0.2 7 3 5 , negative 3.5 , right parenthesis−0.9906,0.2735,−3.5
left parenthesis, negative 0.4 2 0 2 , 1.8 1 5 , negative 3.2 5 , right parenthesis−0.4202,1.815,−3.25
left parenthesis, 0.5 3 6 6 , 1.6 8 8 , negative 3 , right parenthesis0.5366,1.688,−3
left parenthesis, 1 , 0.0 0 8 8 5 1 , negative 2.7 5 , right parenthesis1,0.008851,−2.75
left parenthesis, 0.5 4 4 , negative 1.6 7 8 , negative 2.5 , right parenthesis0.544,−1.678,−2.5
left parenthesis, negative 0.4 1 2 1 , negative 1.8 2 2 , negative 2.2 5 , right parenthesis−0.4121,−1.822,−2.25
left parenthesis, negative 0.9 8 9 4 , negative 0.2 9 1 , negative 2 , right parenthesis−0.9894,−0.291,−2
left parenthesis, negative 0.6 5 7 , 1.5 0 8 , negative 1.7 5 , right parenthesis−0.657,1.508,−1.75
left parenthesis, 0.2 7 9 4 , 1.9 2 , negative 1.5 , right parenthesis0.2794,1.92,−1.5
41 element list
15
Just Endpoints Connected with Line Segments
16
Expression 17: "V" .V.end
equals=
left parenthesis, negative 0.9 1 2 9 , 0.8 1 6 2 , negative 5 , right parenthesis−0.9129,0.8162,−5
left parenthesis, negative 0.1 4 9 9 , 1.9 7 7 , negative 4.7 5 , right parenthesis−0.1499,1.977,−4.75
left parenthesis, 0.7 5 1 , 1.3 2 1 , negative 4.5 , right parenthesis0.751,1.321,−4.5
left parenthesis, 0.9 6 1 4 , negative 0.5 5 0 3 , negative 4.2 5 , right parenthesis0.9614,−0.5503,−4.25
left parenthesis, 0.2 8 7 9 , negative 1.9 1 5 , negative 4 , right parenthesis0.2879,−1.915,−4
left parenthesis, negative 0.6 5 0 3 , negative 1.5 1 9 , negative 3.7 5 , right parenthesis−0.6503,−1.519,−3.75
left parenthesis, negative 0.9 9 0 6 , 0.2 7 3 5 , negative 3.5 , right parenthesis−0.9906,0.2735,−3.5
left parenthesis, negative 0.4 2 0 2 , 1.8 1 5 , negative 3.2 5 , right parenthesis−0.4202,1.815,−3.25
left parenthesis, 0.5 3 6 6 , 1.6 8 8 , negative 3 , right parenthesis0.5366,1.688,−3
left parenthesis, 1 , 0.0 0 8 8 5 1 , negative 2.7 5 , right parenthesis1,0.008851,−2.75
left parenthesis, 0.5 4 4 , negative 1.6 7 8 , negative 2.5 , right parenthesis0.544,−1.678,−2.5
left parenthesis, negative 0.4 1 2 1 , negative 1.8 2 2 , negative 2.2 5 , right parenthesis−0.4121,−1.822,−2.25
left parenthesis, negative 0.9 8 9 4 , negative 0.2 9 1 , negative 2 , right parenthesis−0.9894,−0.291,−2
left parenthesis, negative 0.6 5 7 , 1.5 0 8 , negative 1.7 5 , right parenthesis−0.657,1.508,−1.75
left parenthesis, 0.2 7 9 4 , 1.9 2 , negative 1.5 , right parenthesis0.2794,1.92,−1.5
41 element list
17
Tangent Vectors
18
Expression 19: vector left parenthesis, "P" left parenthesis, left bracket, negative 20 , ... , 20 , right bracket , right parenthesis , "P" left parenthesis, left bracket, negative 20 , ... , 20 , right bracket , right parenthesis plus "P" prime left parenthesis, left bracket, negative 20 , ... , 20 , right bracket , right parenthesis , right parenthesisvectorP−20,...,20,P−20,...,20+P′−20,...,20
19
Expression 20:
20
Contour Plots
21
Expression 22: "C" equals left bracket, 1 , 2 , 3 , right bracketC=1,2,3
3 element list
22
Expression 23: "c" equals hsv left parenthesis, "C" times StartFraction, 360 Over count left parenthesis, "C" , right parenthesis , EndFraction , 1 , 1 , right parenthesisc=hsvC·360countC,1,1
23
Expression 24: "z" equals "f" left parenthesis, "x" , "y" , right parenthesis left brace, "z" equals "C" , right bracez=fx,yz=C
24
Expression 25: "f" left parenthesis, "x" , "y" , right parenthesis minus "C" equals 0fx,y−C=0