Expression 20: "T" left parenthesis, "x" , "y" , "z" , right parenthesis equals left parenthesis, StartFraction, "x" Subscript, 1 , Baseline left parenthesis, "x" , right parenthesis Over StartRoot, "x" squared plus "x" squared , EndRoot , EndFraction plus StartFraction, "y" Subscript, 1 , Baseline left parenthesis, "y" , right parenthesis Over StartRoot, "y" squared plus "y" squared , EndRoot , EndFraction plus StartFraction, "z" Subscript, 1 , Baseline left parenthesis, "z" , right parenthesis Over StartRoot, "z" squared plus "z" squared , EndRoot , EndFraction , StartFraction, "x" Subscript, 2 , Baseline left parenthesis, "x" , right parenthesis Over StartRoot, "x" squared plus "x" squared , EndRoot , EndFraction plus StartFraction, "y" Subscript, 2 , Baseline left parenthesis, "y" , right parenthesis Over StartRoot, "y" squared plus "y" squared , EndRoot , EndFraction plus StartFraction, "z" Subscript, 2 , Baseline left parenthesis, "z" , right parenthesis Over StartRoot, "z" squared plus "z" squared , EndRoot , EndFraction , right parenthesisTx,y,z=x1xx21+x22+y1yy21+y22+z1zz21+z22,x2xx21+x22+y2yy21+y22+z2zz21+z22
20
Expression 21: "P" Subscript, "r" "o" "j" "e" "c" "t" , Baseline left parenthesis, "x" , "y" , "z" , right parenthesis equals left brace, "T" left parenthesis, "x" , "y" , "z" , right parenthesis greater than 0 : "T" left parenthesis, "x" , "y" , "z" , right parenthesis , left parenthesis, StartFraction, 0 Over 0 , EndFraction , StartFraction, 0 Over 0 , EndFraction , right parenthesis , right braceProjectx,y,z=Tx,y,z>0:Tx,y,z,00,00
21
Expression 22: "P" Subscript, "r" "o" "j" "e" "c" "t" "L" "i" "s" "t" , Baseline left parenthesis, "L" , right parenthesis equals "P" Subscript, "r" "o" "j" "e" "c" "t" , Baseline left parenthesis, "L" left bracket, 1 , right bracket , "L" left bracket, 2 , right bracket , "L" left bracket, 3 , right bracket , right parenthesisProjectListL=ProjectL1,L2,L3
22
Expression 23: "M" Subscript, "a" "r" "c" "h" "S" "t" "e" "p" , Baseline left parenthesis, "D" , right parenthesis equals left brace, "D" left bracket, 8 , right bracket equals 0 : "D" , left bracket, "D" left bracket, 1 , right bracket plus "D" left bracket, 7 , right bracket "D" left bracket, 4 , right bracket , "D" left bracket, 2 , right bracket plus "D" left bracket, 7 , right bracket "D" left bracket, 5 , right bracket , "D" left bracket, 3 , right bracket plus "D" left bracket, 7 , right bracket "D" left bracket, 6 , right bracket , "D" left bracket, 4 , right bracket , "D" left bracket, 5 , right bracket , "D" left bracket, 6 , right bracket , "D" left bracket, 7 , right bracket , left brace, "D" left bracket, 8 , right bracket "f" left parenthesis, "D" left bracket, 1 , right bracket plus "D" left bracket, 7 , right bracket "D" left bracket, 4 , right bracket , "D" left bracket, 2 , right bracket plus "D" left bracket, 7 , right bracket "D" left bracket, 5 , right bracket , "D" left bracket, 3 , right bracket plus "D" left bracket, 7 , right bracket "D" left bracket, 6 , right bracket , right parenthesis less than or equal to 0 : 0 , "D" left bracket, 8 , right bracket , right brace , right bracket , right braceMarchStepD=D8=0:D,D1+D7D4,D2+D7D5,D3+D7D6,D4,D5,D6,D7,D8fD1+D7D4,D2+D7D5,D3+D7D6≤0:0,D8
23
Expression 24: "M" Subscript, "a" "r" "c" "h" , Baseline left parenthesis, "O" , "D" , "S" , right parenthesis equals "M" Subscript, "a" "r" "c" "h" "S" "t" "e" "p" , Baseline left parenthesis, "M" Subscript, "a" "r" "c" "h" "S" "t" "e" "p" , Baseline left parenthesis, "M" Subscript, "a" "r" "c" "h" "S" "t" "e" "p" , Baseline left parenthesis, "M" Subscript, "a" "r" "c" "h" "S" "t" "e" "p" , Baseline left parenthesis, "M" Subscript, "a" "r" "c" "h" "S" "t" "e" "p" , Baseline left parenthesis, "M" Subscript, "a" "r" "c" "h" "S" "t" "e" "p" , Baseline left parenthesis, "M" Subscript, "a" "r" "c" "h" "S" "t" "e" "p" , Baseline left parenthesis, "M" Subscript, "a" "r" "c" "h" "S" "t" "e" "p" , Baseline left parenthesis, left bracket, "O" left bracket, 1 , right bracket , "O" left bracket, 2 , right bracket , "O" left bracket, 3 , right bracket , StartFraction, "D" left bracket, 1 , right bracket Over StartRoot, "D" left bracket, 1 , right bracket squared plus "D" left bracket, 2 , right bracket squared plus "D" left bracket, 3 , right bracket squared , EndRoot , EndFraction , StartFraction, "D" left bracket, 2 , right bracket Over StartRoot, "D" left bracket, 1 , right bracket squared plus "D" left bracket, 2 , right bracket squared plus "D" left bracket, 3 , right bracket squared , EndRoot , EndFraction , StartFraction, "D" left bracket, 3 , right bracket Over StartRoot, "D" left bracket, 1 , right bracket squared plus "D" left bracket, 2 , right bracket squared plus "D" left bracket, 3 , right bracket squared , EndRoot , EndFraction , "S" , left brace, "f" left parenthesis, "O" left bracket, 1 , right bracket , "O" left bracket, 2 , right bracket , "O" left bracket, 3 , right bracket , right parenthesis greater than 0 : 1 , negative 1 , right brace , right bracket , right parenthesis , right parenthesis , right parenthesis , right parenthesis , right parenthesis , right parenthesis , right parenthesis , right parenthesis left bracket, 1 , 2 , 3 , right bracketMarchO,D,S=MarchStepMarchStepMarchStepMarchStepMarchStepMarchStepMarchStepMarchStepO1,O2,O3,D1D12+D22+D32,D2D12+D22+D32,D3D12+D22+D32,S,fO1,O2,O3>0:1,−11,2,3
Expression 26: "S" Subscript, "o" "r" "t" , Baseline left parenthesis, "D" , right parenthesis equals left brace, "f" left parenthesis, "D" left bracket, 1 , right bracket , "D" left bracket, 2 , right bracket , "D" left bracket, 3 , right bracket , right parenthesis less than 0 : left brace, "f" left parenthesis, "D" left bracket, 4 , right bracket , "D" left bracket, 5 , right bracket , "D" left bracket, 6 , right bracket , right parenthesis greater than 0 : "D" , right brace , "f" left parenthesis, "D" left bracket, 4 , right bracket , "D" left bracket, 5 , right bracket , "D" left bracket, 6 , right bracket , right parenthesis less than 0 : left brace, "f" left parenthesis, "D" left bracket, 1 , right bracket , "D" left bracket, 2 , right bracket , "D" left bracket, 3 , right bracket , right parenthesis greater than 0 : "D" left bracket, 4 , 5 , 6 , 1 , 2 , 3 , right bracket , left bracket, StartFraction, 0 Over 0 , EndFraction , StartFraction, 0 Over 0 , EndFraction , StartFraction, 0 Over 0 , EndFraction , StartFraction, 0 Over 0 , EndFraction , StartFraction, 0 Over 0 , EndFraction , StartFraction, 0 Over 0 , EndFraction , right bracket , right brace , left bracket, StartFraction, 0 Over 0 , EndFraction , StartFraction, 0 Over 0 , EndFraction , StartFraction, 0 Over 0 , EndFraction , StartFraction, 0 Over 0 , EndFraction , StartFraction, 0 Over 0 , EndFraction , StartFraction, 0 Over 0 , EndFraction , right bracket , right braceSortD=fD1,D2,D3<0:fD4,D5,D6>0:D,fD4,D5,D6<0:fD1,D2,D3>0:D4,5,6,1,2,3,00,00,00,00,00,00,00,00,00,00,00,00
26
Expression 27: "S" Subscript, "t" "e" "p" "B" "a" "c" "k" , Baseline left parenthesis, "O" , "D" , "S" , right parenthesis equals left bracket, "O" left bracket, 1 , right bracket , "O" left bracket, 2 , right bracket , "O" left bracket, 3 , right bracket , "O" left bracket, 1 , right bracket minus "D" left bracket, 1 , right bracket "S" , "O" left bracket, 2 , right bracket minus "D" left bracket, 2 , right bracket "S" , "O" left bracket, 3 , right bracket minus "D" left bracket, 3 , right bracket "S" , right bracketStepBackO,D,S=O1,O2,O3,O1−D1S,O2−D2S,O3−D3S
27
Expression 28: "B" Subscript, "i" "n" "a" "r" "y" "S" "t" "e" "p" , Baseline left parenthesis, "D" , right parenthesis equals left brace, "f" left parenthesis, StartFraction, "D" left bracket, 1 , right bracket plus "D" left bracket, 4 , right bracket Over 2 , EndFraction , StartFraction, "D" left bracket, 2 , right bracket plus "D" left bracket, 5 , right bracket Over 2 , EndFraction , StartFraction, "D" left bracket, 3 , right bracket plus "D" left bracket, 6 , right bracket Over 2 , EndFraction , right parenthesis less than 0 : left bracket, StartFraction, "D" left bracket, 1 , right bracket plus "D" left bracket, 4 , right bracket Over 2 , EndFraction , StartFraction, "D" left bracket, 2 , right bracket plus "D" left bracket, 5 , right bracket Over 2 , EndFraction , StartFraction, "D" left bracket, 3 , right bracket plus "D" left bracket, 6 , right bracket Over 2 , EndFraction , "D" left bracket, 4 , right bracket , "D" left bracket, 5 , right bracket , "D" left bracket, 6 , right bracket , right bracket , left bracket, "D" left bracket, 1 , right bracket , "D" left bracket, 2 , right bracket , "D" left bracket, 3 , right bracket , StartFraction, "D" left bracket, 1 , right bracket plus "D" left bracket, 4 , right bracket Over 2 , EndFraction , StartFraction, "D" left bracket, 2 , right bracket plus "D" left bracket, 5 , right bracket Over 2 , EndFraction , StartFraction, "D" left bracket, 3 , right bracket plus "D" left bracket, 6 , right bracket Over 2 , EndFraction , right bracket , right braceBinaryStepD=fD1+D42,D2+D52,D3+D62<0:D1+D42,D2+D52,D3+D62,D4,D5,D6,D1,D2,D3,D1+D42,D2+D52,D3+D62
28
Expression 29: "B" Subscript, "i" "n" "a" "r" "y" , Baseline left parenthesis, "D" , right parenthesis equals "B" Subscript, "i" "n" "a" "r" "y" "S" "t" "e" "p" , Baseline left parenthesis, "B" Subscript, "i" "n" "a" "r" "y" "S" "t" "e" "p" , Baseline left parenthesis, "B" Subscript, "i" "n" "a" "r" "y" "S" "t" "e" "p" , Baseline left parenthesis, "B" Subscript, "i" "n" "a" "r" "y" "S" "t" "e" "p" , Baseline left parenthesis, "B" Subscript, "i" "n" "a" "r" "y" "S" "t" "e" "p" , Baseline left parenthesis, "B" Subscript, "i" "n" "a" "r" "y" "S" "t" "e" "p" , Baseline left parenthesis, "B" Subscript, "i" "n" "a" "r" "y" "S" "t" "e" "p" , Baseline left parenthesis, "S" Subscript, "o" "r" "t" , Baseline left parenthesis, "D" , right parenthesis , right parenthesis , right parenthesis , right parenthesis , right parenthesis , right parenthesis , right parenthesis , right parenthesisBinaryD=BinaryStepBinaryStepBinaryStepBinaryStepBinaryStepBinaryStepBinaryStepSortD
29
Expression 30: "B" Subscript, "i" "n" "a" "r" "y" "M" "a" "r" "c" "h" , Baseline left parenthesis, "O" , "D" , "S" , right parenthesis equals "B" Subscript, "i" "n" "a" "r" "y" , Baseline left parenthesis, "S" Subscript, "t" "e" "p" "B" "a" "c" "k" , Baseline left parenthesis, "M" Subscript, "a" "r" "c" "h" , Baseline left parenthesis, "O" , "D" , "S" , right parenthesis , "D" , "S" , right parenthesis , right parenthesisBinaryMarchO,D,S=BinaryStepBackMarchO,D,S,D,S
30
Expression 31: "F" Subscript, "o" "r" , Baseline left parenthesis, "t" , "M" Subscript, "i" "n" , Baseline , "M" Subscript, "a" "x" , Baseline , "A" Subscript, "m" "o" "u" "n" "t" , Baseline , right parenthesis equals left parenthesis, "M" Subscript, "i" "n" , Baseline plus left parenthesis, "M" Subscript, "a" "x" , Baseline minus "M" Subscript, "i" "n" , Baseline , right parenthesis StartFraction, floor left parenthesis, floor left parenthesis, "A" Subscript, "m" "o" "u" "n" "t" , Baseline , right parenthesis "t" , right parenthesis Over floor left parenthesis, "A" Subscript, "m" "o" "u" "n" "t" , Baseline , right parenthesis minus 1 , EndFraction , mod left parenthesis, "t" floor left parenthesis, "A" Subscript, "m" "o" "u" "n" "t" , Baseline , right parenthesis , 1 , right parenthesis , right parenthesisFort,Min,Max,Amount=Min+Max−MinfloorfloorAmounttfloorAmount−1,modtfloorAmount,1
31
Expression 32: "F" Subscript, "o" "r" , Baseline left parenthesis, "t" , "x" Subscript, "m" "i" "n" , Baseline , "x" Subscript, "m" "a" "x" , Baseline , "x" Subscript, "l" "i" "n" "e" "s" , Baseline , right parenthesisFort,xmin,xmax,xlines
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
32
Expression 33: "T" left parenthesis, "x" Subscript, "m" "i" "n" , Baseline plus left parenthesis, "x" Subscript, "m" "a" "x" , Baseline minus "x" Subscript, "m" "i" "n" , Baseline , right parenthesis "F" Subscript, "o" "r" , Baseline left parenthesis, "t" , "y" Subscript, "m" "i" "n" , Baseline , "y" Subscript, "m" "a" "x" , Baseline , "y" Subscript, "l" "i" "n" "e" "s" , Baseline , right parenthesis . "y" , "F" Subscript, "o" "r" , Baseline left parenthesis, "t" , "y" Subscript, "m" "i" "n" , Baseline , "y" Subscript, "m" "a" "x" , Baseline , "y" Subscript, "l" "i" "n" "e" "s" , Baseline , right parenthesis . "x" , 0 , right parenthesisTxmin+xmax−xminFort,ymin,ymax,ylines.y,Fort,ymin,ymax,ylines.x,0
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
33
Expression 34: "T" left parenthesis, "F" Subscript, "o" "r" , Baseline left parenthesis, "t" , "x" Subscript, "m" "i" "n" , Baseline , "x" Subscript, "m" "a" "x" , Baseline , "x" Subscript, "l" "i" "n" "e" "s" , Baseline , right parenthesis . "x" , "y" Subscript, "m" "i" "n" , Baseline plus left parenthesis, "y" Subscript, "m" "a" "x" , Baseline minus "y" Subscript, "m" "i" "n" , Baseline , right parenthesis "F" Subscript, "o" "r" , Baseline left parenthesis, "t" , "x" Subscript, "m" "i" "n" , Baseline , "x" Subscript, "m" "a" "x" , Baseline , "x" Subscript, "l" "i" "n" "e" "s" , Baseline , right parenthesis . "y" , 0 , right parenthesisTFort,xmin,xmax,xlines.x,ymin+ymax−yminFort,xmin,xmax,xlines.y,0
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
34
Expression 35: "T" left parenthesis, "x" Subscript, "m" "i" "n" , Baseline plus left parenthesis, "x" Subscript, "m" "a" "x" , Baseline minus "x" Subscript, "m" "i" "n" , Baseline , right parenthesis "t" , 0 , 0 , right parenthesisTxmin+xmax−xmint,0,0
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
35
Expression 36: "T" left parenthesis, "x" Subscript, "m" "i" "n" , Baseline plus left parenthesis, "x" Subscript, "m" "a" "x" , Baseline minus "x" Subscript, "m" "i" "n" , Baseline , right parenthesis "t" , 0 , 0 , right parenthesisTxmin+xmax−xmint,0,0
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
36
Expression 37: "T" left parenthesis, 0 , 0 , "z" Subscript, "m" "i" "n" , Baseline plus left parenthesis, "z" Subscript, "m" "a" "x" , Baseline minus "z" Subscript, "m" "i" "n" , Baseline , right parenthesis "t" , right parenthesisT0,0,zmin+zmax−zmint
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
37
Expression 38: "x" Subscript, "s" "t" "e" "p" "S" "i" "z" "e" , Baseline equals StartFraction, "x" Subscript, "m" "a" "x" , Baseline minus "x" Subscript, "m" "i" "n" , Baseline Over "m" Subscript, "a" "r" "c" "h" "S" "t" "e" "p" "s" , Baseline , EndFractionxstepSize=xmax−xminmarchSteps
equals=
0.2 50.25
38
Expression 39: "y" Subscript, "s" "t" "e" "p" "S" "i" "z" "e" , Baseline equals StartFraction, "y" Subscript, "m" "a" "x" , Baseline minus "y" Subscript, "m" "i" "n" , Baseline Over "m" Subscript, "a" "r" "c" "h" "S" "t" "e" "p" "s" , Baseline , EndFractionystepSize=ymax−yminmarchSteps