수식 42: "X" Subscript, 1 , Baseline left parenthesis, "a" Subscript, "x" , Baseline , "b" Subscript, "y" , Baseline , right parenthesis equals StartFraction, left parenthesis, negative 4 "a" Subscript, "x" , Baseline minus StartRoot, left parenthesis, 16 "a" squared minus 4 left parenthesis, "a" squared plus "b" squared , right parenthesis left parenthesis, 4 minus "b" squared , right parenthesis , right parenthesis , EndRoot , right parenthesis Over 2 left parenthesis, "a" squared plus "b" squared , right parenthesis , EndFractionX1ax,by=−4ax−16a2x−4a2x+b2y4−b2y2a2x+b2y
42
수식 43: "X" Subscript, 2 , Baseline left parenthesis, "a" Subscript, "x" , Baseline , "b" Subscript, "y" , Baseline , right parenthesis equals StartFraction, left parenthesis, negative 4 "a" Subscript, "x" , Baseline plus StartRoot, left parenthesis, 16 "a" squared minus 4 left parenthesis, "a" squared plus "b" squared , right parenthesis left parenthesis, 4 minus "b" squared , right parenthesis , right parenthesis , EndRoot , right parenthesis Over 2 left parenthesis, "a" squared plus "b" squared , right parenthesis , EndFractionX2ax,by=−4ax+16a2x−4a2x+b2y4−b2y2a2x+b2y
43
수식 44: "P" Subscript, "x" , Baseline equals "X" Subscript, 1 , Baseline left parenthesis, "a" , "b" , right parenthesisPx=X1a,b
equals=
negative 0.8 5 7 7 5 5 8 1 9 2 5 9−0.857755819259
44
수식 45: "P" Subscript, "y" , Baseline equals "Y" left parenthesis, "a" , "b" , "P" Subscript, "x" , Baseline , right parenthesisPy=Ya,b,Px
equals=
negative 0.5 1 4 0 5 7 3 4 5 5 6 4−0.514057345564
45
수식 46: "Q" Subscript, "x" , Baseline equals "X" Subscript, 2 , Baseline left parenthesis, "a" , "b" , right parenthesisQx=X2a,b
equals=
0.8 6 9 3 0 5 4 9 5 6 0 40.869305495604
46
수식 47: "Q" Subscript, "y" , Baseline equals "Y" left parenthesis, "a" , "b" , "Q" Subscript, "x" , Baseline , right parenthesisQy=Ya,b,Qx
equals=
negative 0.4 9 4 2 7 5 1 8 1 7 6 9−0.494275181769
47
수식 48: "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
48
Distance
학생에게 이 폴더를 숨깁니다.
49
수식 50: "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
50
수식 51: "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=
0.5 2 2 3 5 1 6 9 1 9 7 30.522351691973
51
수식 52: "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=
0.5 3 3 6 2 3 0 1 4 8 8 10.533623014881
52
수식 53: "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=
1.2 4 5 2 5 9 8 9 6 8 81.24525989688
53
수식 54: "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=
1.2 5 5 8 8 0 1 8 7 5 51.25588018755
54
the Poincare distance
55
수식 56: "D" Subscript, "p" , Baseline equals absolute value left parenthesis, log left parenthesis, StartFraction, left parenthesis, "d" Subscript, "a" "p" , Baseline times "d" Subscript, "b" "q" , Baseline , right parenthesis Over left parenthesis, "d" Subscript, "b" "p" , Baseline times "d" Subscript, "a" "q" , Baseline , right parenthesis , EndFraction , right parenthesis , right parenthesisDp=abslogdap·dbqdbp·daq
equals=
0.7 4 9 0 1 0 6 5 3 2 1 20.749010653212
56
수식 57: "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
57
graph of the P-distance as function of Euclidean distance of red point to orange
58
숨겨진 레이블 left parenthesis, "d" Subscript, "b" "q" , Baseline , "f" left parenthesis, "d" Subscript, "b" "q" , Baseline , right parenthesis , right parenthesisdbq,fdbq
