運算式 45: "R" Subscript, "y" , Baseline equals "Y" left parenthesis, "c" , "d" , "R" Subscript, "x" , Baseline , right parenthesisRy=Yc,d,Rx
equals=
0.9 5 7 1 0 6 9 2 6 9 40.95710692694
45
運算式 46: "Q" Subscript, "x" , Baseline equals "X" Subscript, 2 , Baseline left parenthesis, "a" , "b" , right parenthesisQx=X2a,b
equals=
0.8 0 1 3 2 6 4 3 8 9 6 80.801326438968
46
運算式 47: "S" Subscript, "x" , Baseline equals "X" Subscript, 2 , Baseline left parenthesis, "c" , "d" , right parenthesisSx=X2c,d
equals=
0.7 4 5 6 3 7 9 1 9 7 4 20.745637919742
47
運算式 48: "Q" Subscript, "y" , Baseline equals "Y" left parenthesis, "a" , "b" , "Q" Subscript, "x" , Baseline , right parenthesisQy=Ya,b,Qx
equals=
0.5 9 8 2 2 7 3 2 9 8 7 70.598227329877
48
運算式 49: "S" Subscript, "y" , Baseline equals "Y" left parenthesis, "c" , "d" , "S" Subscript, "x" , Baseline , right parenthesisSy=Yc,d,Sx
equals=
0.6 6 6 3 5 1 3 2 8 2 3 70.666351328237
49
運算式 50: "Y" left parenthesis, "a" Subscript, "x" , Baseline , "b" Subscript, "y" , Baseline , "x" Subscript, "n" , Baseline , right parenthesis equals StartFraction, left parenthesis, negative 2 minus "a" Subscript, "x" , Baseline "x" Subscript, "n" , Baseline , right parenthesis Over "b" Subscript, "y" , Baseline , EndFractionYax,by,xn=−2−axxnby
50
Distance
對學生隱藏此資料夾。
51
運算式 52: "N" left parenthesis, "u" Subscript, 1 , Baseline , "u" Subscript, 2 , Baseline , "v" Subscript, 1 , Baseline , "v" Subscript, 2 , Baseline , right parenthesis equals StartRoot, left parenthesis, "u" Subscript, 1 , Baseline minus "v" Subscript, 1 , Baseline , right parenthesis squared plus left parenthesis, "u" Subscript, 2 , Baseline minus "v" Subscript, 2 , Baseline , right parenthesis squared , EndRootNu1,u2,v1,v2=u1−v12+u2−v22
52
運算式 53: "d" Subscript, "a" "p" , Baseline equals "N" left parenthesis, "x" Subscript, 1 , Baseline , "y" Subscript, 1 , Baseline , "P" Subscript, "x" , Baseline , "P" Subscript, "y" , Baseline , right parenthesisdap=Nx1,y1,Px,Py
equals=
0.1 1 3 7 7 2 4 8 5 1 3 60.113772485136
53
運算式 54: "d" Subscript, "b" "q" , Baseline equals "N" left parenthesis, "x" Subscript, 2 , Baseline , "y" Subscript, 2 , Baseline , "Q" Subscript, "x" , Baseline , "Q" Subscript, "y" , Baseline , right parenthesisdbq=Nx2,y2,Qx,Qy
equals=
0.1 1 5 9 4 0 8 3 6 8 5 70.115940836857
54
運算式 55: "d" Subscript, "b" "p" , Baseline equals "N" left parenthesis, "x" Subscript, 2 , Baseline , "y" Subscript, 2 , Baseline , "P" Subscript, "x" , Baseline , "P" Subscript, "y" , Baseline , right parenthesisdbp=Nx2,y2,Px,Py
equals=
0.4 4 9 0 8 2 5 3 7 3 9 50.449082537395
55
運算式 56: "d" Subscript, "a" "q" , Baseline equals "N" left parenthesis, "x" Subscript, 1 , Baseline , "y" Subscript, 1 , Baseline , "Q" Subscript, "x" , Baseline , "Q" Subscript, "y" , Baseline , right parenthesisdaq=Nx1,y1,Qx,Qy
equals=
0.4 5 0 1 0 4 3 1 9 3 4 80.450104319348
56
the Poincare distance
57
運算式 58: "D" Subscript, "p" , Baseline left parenthesis, "x" Subscript, 11 , Baseline , "y" Subscript, 11 , Baseline , "x" Subscript, 21 , Baseline , "y" Subscript, 21 , Baseline , "P" Subscript, "x" 1 , Baseline , "P" Subscript, "y" 1 , Baseline , "Q" Subscript, "x" 1 , Baseline , "Q" Subscript, "y" 1 , Baseline , right parenthesis equals absolute value left parenthesis, log left parenthesis, StartFraction, left parenthesis, "N" left parenthesis, "x" Subscript, 11 , Baseline , "y" Subscript, 11 , Baseline , "P" Subscript, "x" 1 , Baseline , "P" Subscript, "y" 1 , Baseline , right parenthesis times "N" left parenthesis, "x" Subscript, 21 , Baseline , "y" Subscript, 21 , Baseline , "Q" Subscript, "x" 1 , Baseline , "Q" Subscript, "y" 1 , Baseline , right parenthesis , right parenthesis Over left parenthesis, "N" left parenthesis, "x" Subscript, 21 , Baseline , "y" Subscript, 21 , Baseline , "P" Subscript, "x" 1 , Baseline , "P" Subscript, "y" 1 , Baseline , right parenthesis times "N" left parenthesis, "x" Subscript, 11 , Baseline , "y" Subscript, 11 , Baseline , "Q" Subscript, "x" 1 , Baseline , "Q" Subscript, "y" 1 , Baseline , right parenthesis , right parenthesis , EndFraction , right parenthesis , right parenthesisDpx11,y11,x21,y21,Px1,Py1,Qx1,Qy1=abslogNx11,y11,Px1,Py1·Nx21,y21,Qx1,Qy1Nx21,y21,Px1,Py1·Nx11,y11,Qx1,Qy1
58
運算式 59: "D" Subscript, "p" , Baseline left parenthesis, "x" Subscript, 1 , Baseline , "y" Subscript, 1 , Baseline , "x" Subscript, 2 , Baseline , "y" Subscript, 2 , Baseline , "P" Subscript, "x" , Baseline , "P" Subscript, "y" , Baseline , "Q" Subscript, "x" , Baseline , "Q" Subscript, "y" , Baseline , right parenthesisDpx1,y1,x2,y2,Px,Py,Qx,Qy
equals=
1.1 8 5 3 6 5 6 7 3 1 41.18536567314
59
運算式 60: "D" Subscript, "p" , Baseline left parenthesis, "x" Subscript, 3 , Baseline , "y" Subscript, 3 , Baseline , "x" Subscript, "i" , Baseline , "y" Subscript, "i" , Baseline , "R" Subscript, "x" , Baseline , "R" Subscript, "y" , Baseline , "S" Subscript, "x" , Baseline , "S" Subscript, "y" , Baseline , right parenthesisDpx3,y3,xi,yi,Rx,Ry,Sx,Sy
equals=
0.6 0 2 0 7 0 5 2 6 0 6 20.602070526062
60
運算式 61: "D" Subscript, "p" , Baseline left parenthesis, "x" Subscript, 1 , Baseline , "y" Subscript, 1 , Baseline , "x" Subscript, "i" , Baseline , "y" Subscript, "i" , Baseline , "P" Subscript, "x" , Baseline , "P" Subscript, "y" , Baseline , "Q" Subscript, "x" , Baseline , "Q" Subscript, "y" , Baseline , right parenthesisDpx1,y1,xi,yi,Px,Py,Qx,Qy
equals=
0.6 0 3 5 4 7 6 1 4 7 8 10.603547614781
61
運算式 62:
62
運算式 63: "f" left parenthesis, "x" , right parenthesis equals absolute value left parenthesis, log left parenthesis, StartFraction, left parenthesis, "d" Subscript, "a" "p" , Baseline times "x" , right parenthesis Over left parenthesis, "d" Subscript, "b" "p" , Baseline times "d" Subscript, "a" "q" , Baseline , right parenthesis , EndFraction , right parenthesis , right parenthesisfx=abslogdap·xdbp·daq
63
graph of the P-distance as function of Euclidean distance of red point to orange
64
隱藏的 標籤 left parenthesis, "d" Subscript, "b" "q" , Baseline , "f" left parenthesis, "d" Subscript, "b" "q" , Baseline , right parenthesis , right parenthesisdbq,fdbq
