圆上离散样本点的几何中位数/中心位置随测试点变化的研究

GeoGebra 命令及参数

1. Sum(Zip[sqrt(((R * cos(x)) - x(b))^(2) + ((R * sin(x)) - y(b))^(2)), b, lP]) → f0
2. Circle(O, R) → g
3. Point(g) → p0
4. Zip(Vector[UnitVector[a - p0]], a, lP) → l1
5. Sum(Zip[Length[a - p0], a, lP]) → sum
6. Sum(Zip[Length[a - p0]^(2), a, lP]) → sum_q
7. Sum(Zip[Length[a - min_q0]^(2), a, lP]) → sum1_q
8. Sum(Zip[Length[a - max_q0]^(2), a, lP]) → sum2_q
9. Segment(max_q0, min_q0) → h
10. Textfield(na) → InputBox1
11. Sequence((R; ((2 * π / na) * j)), j, 0, na) → ltest_2
12. Zip((R; a), a, x(Extr_g)) → lZZsad'
13. Vector(p0, p0 + UnitVector[Sum[l1]]) → l11
14. Vector(p0, p0 + UnitVector[p0]) → l12
15. Angle(l11, l12) → α
16. Zip(Vector[b, b + UnitVector[Sum[Zip[UnitVector[a - b], a, lP]]]], b, lZmax') → Wi_Pmax
17. Zip(Vector[b, b + UnitVector[Sum[Zip[UnitVector[a - b], a, lP]]]], b, lZmin') → Wi_Pmin
18. Zip(Vector[x0, x0 + UnitVector[x0]], x0, lZmax') → Wi_Pmax'
19. Zip(Vector[x0, x0 + UnitVector[x0]], x0, lZmin') → Wi_Pmin'
20. Zip(Angle[a, Vector[b]], Vector[a], Wi_Pmax, Vector[b], Wi_Pmax') → Wii_pmax
21. Zip(Angle[a, Vector[b]], Vector[a], Wi_Pmin, Vector[b], Wi_Pmin') → Wii_pmin
22. Zip(Segment[p0, a], a, lP) → l0
23. Zip((a, f1(a)), a, x(lExtr')) → lExtrf'
24. Length(lExtrf') → lä
25. Sum(Zip[((R * cos(x)) - x(b))^(2) + ((R * sin(x)) - y(b))^(2), b, lP]) → f0_q
26. Zip((a, f1(a)), a, Zip[Angle[a], a, lZmin']) → lmin1
27. Zip((a, f1(a)), a, Zip[Angle[a], a, lZmax']) → lmax1
28. Zip((a, f1(a)), a, Zip[Angle[a], a, lZZsad']) → lsad
29. Vector(C, C + (0, 0.5)) → u
30. Vector(C_q, C_q + (0, 0.5)) → u_q
31. Textfield(s) → InputBox2
32. Textfield(s_q) → InputBox3
33. TableText(Append["k", 1…Length[Wii_pmin]], Append["Δφ_k, grad", Wii_pmin], "v") → text23min
34. TableText(Append["k", 1…Length[Wii_pmax]], Append["Δφ_k, grad", Wii_pmax], "v") → text23max
35. Text("f(x)", (-0.1, f1(0) + 0.2)) → text6
36. Text("f_q(x)", (-0.1, f1_q(0) + 0.2)) → text6b
37. Element(lmax1, IndexOf[Max[y(lmax1)], y(lmax1)]) → D1
38. Element(lmin1, IndexOf[Min[y(lmin1)], y(lmin1)]) → D2
39. Zip(Point[a, 1], Vector[a], Wi_Pmax) → Pmax
40. Zip(Point[a, 1], Vector[a], Wi_Pmin) → Pmin
41. Zip(Point[a, 1], Vector[a], Wi_Pmax') → Pmax'
42. Zip(Point[a, 1], Vector[a], Wi_Pmin') → Pmin'
43. Point(l11, 1) → Tpoint1
44. Point(l12, 1) → Tpoint2
45. Zip(Text["c_" + (a) + "", b], a, 1…Length[lZmin'], b, lZmin' + (0.2, 0.2)) → txtmin
46. Element(lZmin', IndexOf[Min[y(lmin1)], y(lmin1)]) → AGlobalmin
47. Element(lZmax', IndexOf[Max[y(lmax1)], y(lmax1)]) → AGlobalmax
48. RotateText(txt, 90°) → txt1
49. Sort(Flatten[x(lExtr')]) → xlExtr'
50. Zip((abs(a - b) / a * 100), a, xlExtr', b, xlMaxmin) → Δ
51. Zip(ScientificText[a, 3], a, Δ) → Δ1
52. TableText(Append["k", 1…lä], Append["δ=\frac{x_{Extr}-x_{iter}}{x_{Extr}}*100% ", Δ1], "v") → text23Δ
53. If(p0 ≟ min_q0 ∨ p0 ≟ max_q0, true, false) → bue1
54. Zip(Text["c_" + (a) + "", b], a, 1…Length[lZmax'], b, lZmax' + (-0.2, 0.2)) → txtmax
55. Zip(Text["\vec{c}_ " + (a) + "", b, true, true], a, 1…Length[lZmax'], b, Pmax' + (-0.35, 0.35)) → txtPmax'
56. Zip(Text["\vec{c}_ " + (a) + "", b, true, true], a, 1…Length[lZmax'], b, Pmin' + (-0.35, 0.35)) → txtPmin'
57. Zip(Text["\overrightarrow{f}_" + (a) + "", b, true, true], a, 1…Length[lZmax'], b, Pmax + (-0.4, 0.2)) → txtPmax
58. Zip(Text["\overrightarrow{f}_" + (a) + "", b, true, true], a, 1…Length[lZmax'], b, Pmin + (-0.4, 0.1)) → txtPmin
59. UnitVector(Vector[p0, p0 - A]) → w
60. Angle(w, l12) → β
61. Zip(Vector[x0, x0 + UnitVector[Vector[x0, x0 - (Length[lP] * x0) - Sum[lP]]]], x0, lZ_q) → wq_i
62. Zip(Vector[x0, x0 + UnitVector[x0]], x0, lZ_q) → wcq_i
63. If(b, "sum of distances", "sum of the squares of distances") → txtsum
64. Point(w, 1) → Tpoint2_q
65. If(a, "\fgcolor{#007FFF}{f(x)}", "\fgcolor{magenta}{f_q(x)}") → text22a