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    \("\<1. DOMACA NALOGA pri predmetu DIFERENCIALNA IN RACUNSKA GEOMETRIJA\n
	FRI, mag. podiplomski studij\n
	mentor: doc. dr. Neza Mramor-Kosta\n
	avtor: Peter Peer\n
	poletni semester 1999/2000\>"\)], "Input"],

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Cell[BoxData[{
    \("\<Primer ekstrapolacije na zgornjih podatkih s pomocjo vgrajene \
funkcije z interpolacijskim polinomom stopnje 2 - zelena krivulja, 3 - roza \
krivulja in 5 - modra krivulja!\n
\n
	Vidimo lahko, da je zadnja krivulja ekvivalentna zgornji!\>"\n\t\), 
    \(interp2 := Interpolation[tocke1, InterpolationOrder \[Rule] 2]\), 
    \(interp3 := Interpolation[tocke1, InterpolationOrder \[Rule] 3]\), 
    \(interp5 := Interpolation[tocke1, InterpolationOrder \[Rule] 5]\n\), 
    \(Plot[{interp2[x], interp3[x], interp5[x]}, {x, 0, 10}, 
      PlotStyle -> {{Hue[0.3]}, {Hue[0.9]}, {Hue[0.5]}}, \ 
      AspectRatio -> Automatic]\)}], "Input"],

Cell[BoxData[
    \("Primer ekstrapolacije na zgornjih podatkih s pomocjo vgrajene funkcije \
z interpolacijskim polinomom stopnje 2 - zelena krivulja, 3 - roza krivulja \
in 5 - modra krivulja!\n \n Vidimo lahko, da je zadnja krivulja ekvivalentna \
zgornji!"\)], "Output"],

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Cell[BoxData[
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Cell[CellGroupData[{

Cell[BoxData[{
    \("\<Lagrangova interpolacija 2. reda po delih (piecewise)!\n
u je iz intervala [0,1]!\>"\n\t\), 
    \(LP0[u_]\  := \ 2\ \ u^2\  - \ 3\ \ u\  + \ 1; \ \n
    LP1[u_]\  := \ \(-4\)\ u^2\  + \ 4\ \ u; \n
    LP2[u_]\  := \ 2\ \ u^2\  - \ u; \n\n
    "\<Kako izracunamo koordinato interpolacijskega polinoma?\>"\n\t\), 
    \(\(QuadraticLagrangeInterpolation[i_]\)[u_] := {
        \(tocke1[\([i - 1]\)]\)[\([1]\)]\ LP0[u] + 
          \(tocke1[\([i]\)]\)[\([1]\)]\ LP1[u] + 
          \(tocke1[\([i + 1]\)]\)[\([1]\)]\ LP2[u], 
        \(tocke1[\([i - 1]\)]\)[\([2]\)]\ LP0[u] + 
          \(tocke1[\([i]\)]\)[\([2]\)]\ LP1[u] + 
          \(tocke1[\([i + 1]\)]\)[\([2]\)]\ LP2[u]}\n\), 
    \(graf := 
      ParametricPlot[
        Table[\(QuadraticLagrangeInterpolation[i]\)[u], {i, 2, 5}] // 
          Evaluate, {u, 0, 1}, PlotStyle \[Rule] Hue[0.9], 
        AspectRatio -> Automatic]\n\t\t\), 
    \(Show[graf, Graphics[{GrayLevel[0], PointSize[0.02], points}], 
      Axes \[Rule] True, \ AspectRatio -> Automatic]\n\), 
    \("\<ZAKAJ DVOJNA KRIVULJA??? Ker delamo interpolacijo na treh zaporednih \
tockah! =>\>"\n\t\), 
    \(graf1 := 
      ParametricPlot[
        Table[\(QuadraticLagrangeInterpolation[i]\)[u], {i, 2, 2}] // 
          Evaluate, {u, 0, 1}, PlotStyle \[Rule] Hue[0.9], 
        AspectRatio -> Automatic]\n\), 
    \(graf2 := 
      ParametricPlot[
        Table[\(QuadraticLagrangeInterpolation[i]\)[u], {i, 3, 3}] // 
          Evaluate, {u, 0, 1}, PlotStyle \[Rule] Hue[0.1], 
        AspectRatio -> Automatic]\n\), 
    \(graf3 := 
      ParametricPlot[
        Table[\(QuadraticLagrangeInterpolation[i]\)[u], {i, 4, 4}] // 
          Evaluate, {u, 0, 1}, PlotStyle \[Rule] Hue[0.3], 
        AspectRatio -> Automatic]\n\), 
    \(graf4 := 
      ParametricPlot[
        Table[\(QuadraticLagrangeInterpolation[i]\)[u], {i, 5, 5}] // 
          Evaluate, {u, 0, 1}, PlotStyle \[Rule] Hue[0.5], 
        AspectRatio -> Automatic]\n\), 
    \(Show[{graf1, graf2, graf3, graf4}, 
      Graphics[{GrayLevel[0], PointSize[0.02], points}], Axes \[Rule] True, \ 
      AspectRatio -> Automatic]\n\)}], "Input"],

Cell[BoxData[
    \("Lagrangeova interpolacija 2. reda po delih (piecewise)!\n u je iz \
intervala [0,1]!"\)], "Output"],

Cell[BoxData[
    \("Kako izracunamo koordinato interpolacijskega polinoma?"\)], "Output"],

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Cell[BoxData[
    \(\("\<Hermite - Poskusi raje drugace.............!!!!!!!!!!!!!!!!!\>"\n\t
    \n (*\n\nUporabi\ raje\ interpolacijo\ po\ delih...\t\n\t\t\t\n
      Clear[L0]\n
      Clear[L1]\n
      Clear[L2]\n
      Clear[L3]\n
      Clear[L4]\n
      Clear[L5]\n\t\n
      L0[x_] := 
        \((\((x - 1)\)\ \((x - 3)\)\ \((x - 4)\)\ \((x - 6)\)\ \((x - 8)\))
            \)\ /\ \((
            \((\(-1\))\)\ \((\(-3\))\)\ \((\(-4\))\)\ \((\(-6\))\)\ 
              \((\(-8\))\))\); \n
      L1[x_] := 
        \((\((x - 0)\)\ \((x - 3)\)\ \((x - 4)\)\ \((x - 6)\)\ \((x - 8)\))
            \)\ /\ \((
            \((1 - 0)\)\ \((1 - 3)\)\ \((1 - 4)\)\ \((1 - 6)\)\ \((1 - 8)\))
            \); L2[x_] := 
        \((\((x - 1)\)\ \((x - 0)\)\ \((x - 4)\)\ \((x - 6)\)\ \((x - 8)\))
            \)\ /\ \((
            \((3 - 0)\)\ \((3 - 1)\)\ \((3 - 4)\)\ \((3 - 6)\)\ \((3 - 8)\))
            \); \nL3[x_] := 
        \((\((x - 1)\)\ \((x - 0)\)\ \((x - 3)\)\ \((x - 6)\)\ \((x - 8)\))
            \)\ /\ \((
            \((4 - 0)\)\ \((4 - 1)\)\ \((4 - 3)\)\ \((4 - 6)\)\ \((4 - 8)\))
            \); \nL4[x_] := 
        \((\((x - 1)\)\ \((x - 0)\)\ \((x - 3)\)\ \((x - 4)\)\ \((x - 8)\))
            \)\ /\ \((
            \((6 - 0)\)\ \((6 - 1)\)\ \((6 - 3)\)\ \((6 - 4)\)\ \((6 - 8)\))
            \); \nL5[x_] := 
        \((\((x - 1)\)\ \((x - 0)\)\ \((x - 3)\)\ \((x - 6)\)\ \((x - 4)\))
            \)\ /\ \((
            \((8 - 0)\)\ \((8 - 1)\)\ \((8 - 3)\)\ \((8 - 6)\)\ \((8 - 4)\))
            \); \n\t\t\nL0D[x_] := D[L0[x], x]; \n
      H0[x_] := \((1 - 2\ L0D[0]\ \((x - 0)\))\)\ \((L0[x])\)^2; \n
      H0P[x_] := \((x - 0)\)\ \((L0[x])\)^2; \nL1D[x_] := D[L1[x], x]; \n
      H1[x_] := \((1 - 2\ L1D[0]\ \((x - 1)\))\)\ \((L1[x])\)^2; \n
      H1P[x_] := \((x - 1)\)\ \((L1[x])\)^2; \n\t\n
      yH[x_] := \ 2\ H1[x]\ \ \ \ \ \ \ \ \ \ \ ; \ \ \ \ \ \ \ \ \ ITD\n\n
      Plot[{yH[x]}, {x, 0, 10}, 
        PlotStyle -> {{Hue[0.3]}, {Hue[0.9]}, {Hue[0.5]}}, \ 
        AspectRatio -> Automatic]\n\n*) \)\)], "Input"],

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    \("Hermite - Poskusi raje drugace.............!!!!!!!!!!!!!!!!!"\)], 
  "Output"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[{
    \("\<Hermitova interpolacija 1. reda (kubicna interpolacija med tockama \
P_i in P_{i+1}) po delih (piecewise)!\n
u je iz intervala [0,1]!\>"\n\t\), 
    \(H0[u_] := 2  u^3 - 3  u^2 + 1; \nH0p[u_] := u^3 - u^2 + u; \n
    H1[u_] := \(-2\) u^3 + 3  u^2; \nH1p[u_] := u^3 - u^2; \n\n
    "\<Ker potrebnih odvodov nimamo podanih, si jih IZMISLIMO!\>"\n\t\), 
    \(OdvodYVTockah := {0, 0, 0, 0, 0, 0}\ \ \ \ \ \ \ \ \ 
     (*\ Sicer\ tocke\ niso\ \(povezane!\)\ *) \n\), 
    \("\<Za pravilno racunanje moramo dodati tocko (npr. {10,-1} - lezi na \
premici, ki je definirana s tockama {6,1} in {8,0})!\>"\n\t\), 
    \(tocke1
       = {{0, 0}, {1, 2}, {3, 3}, {4, 3}, {6, 1}, {8, 0}, {10, \(-1\)}}; \n\n
    xpika[i_] := 
      \((\(tocke1[\([i + 1]\)]\)[\([1]\)] - \(tocke1[\([i]\)]\)[\([1]\)])\)\n
    \), 
    \("\<Kako izracunamo koordinato interpolacijskega polinoma?\>"\n\t\), 
    \(\(HermiteInterpolation[i_]\)[u_] := {
        \(tocke1[\([i]\)]\)[\([1]\)]\  + u\ xpika[i], \n\t\t
        \(tocke1[\([i]\)]\)[\([2]\)]\ H0[u] + 
          \(tocke1[\([i + 1]\)]\)[\([2]\)]\ H1[u] + 
          OdvodYVTockah[\([i]\)]\ xpika[i]\ H0p[u] + 
          OdvodYVTockah[\([i + 1]\)]\ xpika[i + 1]\ H1p[u]}\n\), 
    \(grafH := 
      ParametricPlot[
        Table[\(HermiteInterpolation[i]\)[u], {i, 1, 5}] // Evaluate, {u, 0, 
          1}, PlotStyle \[Rule] Hue[0.9], AspectRatio -> Automatic]\n\t\t\), 
    \(Show[grafH, Graphics[{GrayLevel[0], PointSize[0.02], points}], 
      Axes \[Rule] True, \ AspectRatio -> Automatic]\n\)}], "Input"],

Cell[BoxData[
    \("Hermitova interpolacija 1. reda (kubicna interpolacija med tockama P_i \
in P_{i+1}) po delih (piecewise)!\n u je iz intervala [0,1]!"\)], "Output"],

Cell[BoxData[
    \("Ker potrebnih odvodov nimamo podanih, si jih IZMISLIMO!"\)], "Output"],

Cell[BoxData[
    \("Za pravilno racunanje moramo dodati tocko (npr. {10,-1} - lezi na \
premici, ki je definirana s tockama {6,1} in {8,0})!"\)], "Output"],

Cell[BoxData[
    \("Kako izracunamo koordinato interpolacijskega polinoma?"\)], "Output"],

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Cell[BoxData[{
    RowBox[{"\[IndentingNewLine]", 
      "\"\<Interpolacija s kubicnimi zlepki: crna krivulja! \\n\n\t\t\t\\n\n\
Zelena krivulja predstavlja Lagrangeovo interpolacijo izracunano zgoraj (prvi \
primer), preostali krivulji pa predstavljata aproksimacijo z Bezierjevimi \
krivuljami!\\n\n\t\t\\n\nOPOMBA:\n\tA cubic spline as currently implemented \
is made of piecewise third\[Hyphen]order polynomials, with \
\!\(TraditionalForm\`C\^1\) continuity, where the second derivative of each \
polynomial is zero at the endpoints - natural splines. This curve \
interpolates each of the points it is created from. \>\"", "\n", "\t"}], 
  \(<< Graphics`Spline`\), 
    RowBox[{\(<< NumericalMath`SplineFit`\), "\n"}], 
    RowBox[{
      \(yplot := 
        Plot[{y}, {x, 0, 10}, 
          PlotStyle -> {{Hue[0.3]}, {Hue[0.9]}, {Hue[0.5]}}, \ 
          AspectRatio -> Automatic]\), "\n"}], 
  \(zlepek3 = SplineFit[tocke1, Cubic]\), 
  \(zlepekB = SplineFit[tocke1, Bezier]; \n
    zlepekcB = SplineFit[tocke1, CompositeBezier]; \n\n
    k3 := ParametricPlot[zlepek3[t], {t, 0, 10}, Compiled \[Rule] False, 
        AspectRatio -> Automatic]\), 
  \(kB := ParametricPlot[zlepekB[t], {t, 0, 10}, Compiled \[Rule] False, 
        \[IndentingNewLine]PlotStyle \[Rule] Hue[0.7]]\), 
    RowBox[{
      \(kcB := ParametricPlot[zlepekcB[t], {t, 0, 10}, 
          Compiled \[Rule] False, 
          \[IndentingNewLine]PlotStyle \[Rule] Hue[0.9]]\), "\n"}], 
    RowBox[{\(Show[{k3, kB, \ kcB, \ yplot}, PlotRange \[Rule] All]\), 
      "\n"}]}], "Input"],

Cell[BoxData[
  "\<\"Interpolacija s kubicnimi zlepki: crna krivulja! \\n   \\n Zelena \
krivulja predstavlja Lagrangeovo interpolacijo izracunano zgoraj (prvi \
primer), preostali krivulji pa predstavljata aproksimacijo z Bezierjevimi \
krivuljami!\\n  \\n OPOMBA: A cubic spline as currently implemented is made \
of piecewise third\[Hyphen]order polynomials, with \
\\!\\(TraditionalForm\\`C\\^1\\) continuity, where the second derivative of \
each polynomial is zero at the endpoints - natural splines. This curve \
interpolates each of the points it is created from. \"\>"], "Output"],

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      Editable->False]], "Output"],

Cell[BoxData[
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      "Input value \!\(5.39065686546749311`\) lies outside the domain of the \
spline function."\)], "Message"],

Cell[BoxData[
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      "\!\(zlepek3[t]\) does not evaluate to a pair of real numbers at \
\!\(t\) = \!\(5.39065686546749311`\)."\)], "Message"],

Cell[BoxData[
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Cell[BoxData[
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Cell[BoxData[
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spline function."\)], "Message"],

Cell[BoxData[
    \(General::"stop" \( : \ \) 
      "Further output of \!\(SplineFunction :: \"dmval\"\) will be suppressed \
during this calculation."\)], "Message"],

Cell[BoxData[
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      "\!\(zlepek3[t]\) does not evaluate to a pair of real numbers at \
\!\(t\) = \!\(5.06247747073170817`\)."\)], "Message"],

Cell[BoxData[
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      "Further output of \!\(ParametricPlot :: \"pptr\"\) will be suppressed \
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Cell[CellGroupData[{

Cell[BoxData[{
    \("\<Nastavek za interpolacijo s kubicnim zlepkom pri robnih podatkih: \
odvod v prvi in zadnji tocki je 0!\>"\n\t\), 
    \(equations
       := {\ 1\ M0 + 1\ M1 + 0\ M2 + 0\ M3 + 0\ M4 + 0\ M5 == 6, 
        1\ M0 + 4\ M1 + 1\ M2 + 0\ M3 + 0\ M4 + 0\ M5 == 6, 
        0\ M0 + 1\ M1 + 4\ M2 + 1\ M3 + 0\ M4 + 0\ M5 == \(-6\), 
        0\ M0 + 0\ M1 + 1\ M2 + 4\ M3 + 1\ M4 + 0\ M5 == 6, 
        0\ M0 + 0\ M1 + 0\ M2 + 1\ M3 + 4\ M4 + 1\ M5 == 0, 
        0\ M0 + 0\ M1 + 0\ M2 + 0\ M3 + 1\ M4 + 2\ M5 == \(-12\)}\n\n\n\), 
    \(Solve[equations, \ {M0, M1, M2, M3, M4, M5}]\)}], "Input"],

Cell[BoxData[
    \("Nastavek za interpolacijo s kubicnim zlepkom pri robnih podatkih: \
odvod v prvi in zadnji tocki je 0!"\)], "Output"],

Cell[BoxData[
    \({{M0 \[Rule] 1404\/265, M1 \[Rule] 186\/265, 
        M2 \[Rule] \(-\(558\/265\)\), M3 \[Rule] 456\/265, 
        M4 \[Rule] 324\/265, M5 \[Rule] \(-\(1752\/265\)\)}}\)], "Output"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[{
    \("\<Interpolacija s kubicnim zlepkom pri robnih podatkih: odvod v prvi \
in zadnji tocki je 0!\>"\n\t\), 
    \(a00 = 1; \na01 = 1; \na54 = 1; \na55 = 2; \n
    b00 = \(tocke1[\([2]\)]\)[\([1]\)] - \(tocke1[\([1]\)]\)[\([1]\)] - 0; \n
    b50 = 0 - \(tocke1[\([6]\)]\)[\([1]\)] + \(tocke1[\([5]\)]\)[\([1]\)]; \n
    b01 = \(tocke1[\([2]\)]\)[\([2]\)] - \(tocke1[\([1]\)]\)[\([2]\)] - 0; \n
    b51 = 0 - \(tocke1[\([6]\)]\)[\([2]\)] + \(tocke1[\([5]\)]\)[\([2]\)]; \n
    \n"\<b50 in b00...\>"\n\), 
    \(b50\), 
    \(b00\n\), 
    \(Matrika
       = {{a00, a01, 0, 0, 0, 0}, \n
        \t\t\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {1, 4, 1, 0, 0, 0}, \n
        \t\t\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {0, 1, 4, 1, 0, 0}, \n
        \t\t\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {0, 0, 1, 4, 1, 0}, 
        \ \ \ \ \ \ \n
        \t\t\t\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {0, 0, 0, 1, 4, 1}, \n
        \t\t\t\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {0, 0, 0, 0, a54, a55}}; \n\n
    VektorM\  := \ 
      LinearSolve[Matrika, \n\t
        6\ Flatten[{{{b00, b01}}, \n
              \t\t\t\t\t\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
              Table[\ \ \ \ \n
                \t\t\t\t\t\t\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {
                  \(tocke1[\([i]\)]\)[\([1]\)] - 
                    2 \( tocke1[\([i + 1]\)]\)[\([1]\)] + 
                    \(tocke1[\([i + 2]\)]\)[\([1]\)], \ \ \ \ \ \n
                  \t\t\t\t\t\t\t\t\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
                  \(tocke1[\([i]\)]\)[\([2]\)] - 
                    2\ \(tocke1[\([i + 1]\)]\)[\([2]\)] + 
                    \(tocke1[\([i + 2]\)]\)[\([2]\)]}, \n
                \t\t\t\t\t\t\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {i, 1, 4}], 
              \n\t\t\t\t\t\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {{b50, b51}}}, \n
            \t\t\t\t\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1]]\n\), 
    \("\<Resitev sistema enacb...\>"\n\t\), 
    \(VektorM\n\), 
    \("\<Kako izracunamo koordinato interpolacijskega polinoma?\>"\n\t\), 
    \(\(phi[i_]\)[u_] := 
      tocke1[\([i]\)] + 
        \((\((tocke1[\([i + 1]\)] - tocke1[\([i]\)])\) - 
              1/6  VektorM[\([i + 1]\)] - 1/3  VektorM[\([i]\)])\) u + 
        1/2  VektorM[\([i]\)] u^2 + 
        1/6 \((VektorM[\([i + 1]\)] - VektorM[\([i]\)])\) u^3\n\), 
    \(graf3 := 
      ParametricPlot[Table[\(phi[i]\)[u], {i, 1, 5}] // Evaluate, {u, 0, 1}, 
        PlotStyle \[Rule] Hue[0.9], AspectRatio -> Automatic]\n\t\t\), 
    \(Show[graf3, Graphics[{GrayLevel[0], PointSize[0.02], points}], 
      Axes \[Rule] True, \ AspectRatio -> Automatic]\)}], "Input"],

Cell[BoxData[
    \("Interpolacija s kubicnim zlepkom pri robnih podatkih: odvod v prvi in \
zadnji tocki je 0!"\)], "Output"],

Cell[BoxData[
    \("b50 in b00..."\)], "Output"],

Cell[BoxData[
    \(\(-2\)\)], "Output"],

Cell[BoxData[
    \(1\)], "Output"],

Cell[BoxData[
    \("Resitev sistema enacb..."\)], "Output"],

Cell[BoxData[
    \({{1404\/265, 972\/53}, {186\/265, \(-\(336\/53\)\)}, {
        \(-\(558\/265\)\), 54\/53}, {456\/265, \(-\(198\/53\)\)}, {324\/265, 
        102\/53}, {\(-\(1752\/265\)\), 108\/53}}\)], "Output"],

Cell[BoxData[
    \("Kako izracunamo koordinato interpolacijskega polinoma?"\)], "Output"],

Cell[CellGroupData[{

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Cell[BoxData[{
    \("\<Interpolacija s kubicnim zlepkom pri robnih podatkih: odvod v prvi \
tocki je 1, v zadnji pa 0!\>"\n\t\), 
    \(a00 = 1; \na01 = 1; \na54 = 1; \na55 = 2; \n
    b00 = \(tocke1[\([2]\)]\)[\([1]\)] - \(tocke1[\([1]\)]\)[\([1]\)] - 1; \n
    b50 = 0 - \(tocke1[\([6]\)]\)[\([1]\)] + \(tocke1[\([5]\)]\)[\([1]\)]; \n
    b01 = \(tocke1[\([2]\)]\)[\([2]\)] - \(tocke1[\([1]\)]\)[\([2]\)] - 1; \n
    b51 = 0 - \(tocke1[\([6]\)]\)[\([2]\)] + \(tocke1[\([5]\)]\)[\([2]\)]; \n
    \n"\<b50 in b00...\>"\n\), 
    \(b50\), 
    \(b00\n\), 
    \(Matrika
       = {{a00, a01, 0, 0, 0, 0}, \n
        \t\t\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {1, 4, 1, 0, 0, 0}, \n
        \t\t\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {0, 1, 4, 1, 0, 0}, \n
        \t\t\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {0, 0, 1, 4, 1, 0}, 
        \ \ \ \ \ \ \n
        \t\t\t\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {0, 0, 0, 1, 4, 1}, \n
        \t\t\t\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {0, 0, 0, 0, a54, a55}}; \n\n
    VektorM\  := \ 
      LinearSolve[Matrika, \n\t
        6\ Flatten[{{{b00, b01}}, \n
              \t\t\t\t\t\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
              Table[\ \ \ \ \n
                \t\t\t\t\t\t\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {
                  \(tocke1[\([i]\)]\)[\([1]\)] - 
                    2 \( tocke1[\([i + 1]\)]\)[\([1]\)] + 
                    \(tocke1[\([i + 2]\)]\)[\([1]\)], \ \ \ \ \ \n
                  \t\t\t\t\t\t\t\t\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
                  \(tocke1[\([i]\)]\)[\([2]\)] - 
                    2\ \(tocke1[\([i + 1]\)]\)[\([2]\)] + 
                    \(tocke1[\([i + 2]\)]\)[\([2]\)]}, \n
                \t\t\t\t\t\t\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {i, 1, 4}], 
              \n\t\t\t\t\t\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {{b50, b51}}}, \n
            \t\t\t\t\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1]]\n\), 
    \("\<Resitev sistema enacb...\>"\n\t\), 
    \(VektorM\n\), 
    \("\<Kako izracunamo koordinato interpolacijskega polinoma?\>"\n\t\), 
    \(\(phi[i_]\)[u_] := 
      tocke1[\([i]\)] + 
        \((\((tocke1[\([i + 1]\)] - tocke1[\([i]\)])\) - 
              1/6  VektorM[\([i + 1]\)] - 1/3  VektorM[\([i]\)])\) u + 
        1/2  VektorM[\([i]\)] u^2 + 
        1/6 \((VektorM[\([i + 1]\)] - VektorM[\([i]\)])\) u^3\n\), 
    \(graf3 := 
      ParametricPlot[Table[\(phi[i]\)[u], {i, 1, 5}] // Evaluate, {u, 0, 1}, 
        PlotStyle \[Rule] Hue[0.5], AspectRatio -> Automatic]\n\t\t\), 
    \(Show[graf3, Graphics[{GrayLevel[0], PointSize[0.02], points}], 
      Axes \[Rule] True, \ AspectRatio -> Automatic]\n\), 
    \("\<RAZLIKA s prejsnjim grafom je v okolici izhodisca!!!\>"\)}], "Input"],

Cell[BoxData[
    \("Interpolacija s kubicnim zlepkom pri robnih podatkih: odvod v prvi \
tocki je 1, v zadnji pa 0!"\)], "Output"],

Cell[BoxData[
    \("b50 in b00..."\)], "Output"],

Cell[BoxData[
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Cell[BoxData[
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Cell[BoxData[
    \("Resitev sistema enacb..."\)], "Output"],

Cell[BoxData[
    \({{\(-\(768\/265\)\), 2688\/265}, {768\/265, \(-\(1098\/265\)\)}, {
        \(-\(714\/265\)\), 114\/265}, {498\/265, \(-\(948\/265\)\)}, {
        312\/265, 498\/265}, {\(-\(1746\/265\)\), 546\/265}}\)], "Output"],

Cell[BoxData[
    \("Kako izracunamo koordinato interpolacijskega polinoma?"\)], "Output"],

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Cell[BoxData[
    \("RAZLIKA s prejsnjim grafom je v okolici izhodisca!!!"\)], "Output"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[{
    \("\<Interpolacija s kubicnim zlepkom pri robnih podatkih: druga odvoda v \
zacetni in koncni tocki sta 0 - naraven zlepek!\>"\n\t\), 
    \(a00 = 1; \na01 = 0; \na54 = 0; \na55 = 1; \nb00 = 0; \nb50 = 0; \n
    b01 = 0; \nb51 = 0; \n\n"\<b50 in b00...\>"\n\), 
    \(b50\ \), 
    \(b00\n\), 
    \(Matrika
       = {{a00, a01, 0, 0, 0, 0}, \n
        \t\t\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {1, 4, 1, 0, 0, 0}, \n
        \t\t\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {0, 1, 4, 1, 0, 0}, \n
        \t\t\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {0, 0, 1, 4, 1, 0}, 
        \ \ \ \ \ \ \n
        \t\t\t\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {0, 0, 0, 1, 4, 1}, \n
        \t\t\t\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {0, 0, 0, 0, a54, a55}}; \n\n
    VektorM\  := \ 
      LinearSolve[Matrika, \n\t
        6\ Flatten[{{{b00, b01}}, \n
              \t\t\t\t\t\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
              Table[\ \ \ \ \n
                \t\t\t\t\t\t\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {
                  \(tocke1[\([i]\)]\)[\([1]\)] - 
                    2 \( tocke1[\([i + 1]\)]\)[\([1]\)] + 
                    \(tocke1[\([i + 2]\)]\)[\([1]\)], \ \ \ \ \ \n
                  \t\t\t\t\t\t\t\t\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
                  \(tocke1[\([i]\)]\)[\([2]\)] - 
                    2\ \(tocke1[\([i + 1]\)]\)[\([2]\)] + 
                    \(tocke1[\([i + 2]\)]\)[\([2]\)]}, \n
                \t\t\t\t\t\t\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {i, 1, 4}], 
              \n\t\t\t\t\t\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {{b50, b51}}}, \n
            \t\t\t\t\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1]]\n\), 
    \("\<Resitev sistema enacb...\>"\n\t\), 
    \(VektorM\n\), 
    \("\<Kako izracunamo koordinato interpolacijskega polinoma?\>"\n\t\), 
    \(\(phi[i_]\)[u_] := 
      tocke1[\([i]\)] + 
        \((\((tocke1[\([i + 1]\)] - tocke1[\([i]\)])\) - 
              1/6  VektorM[\([i + 1]\)] - 1/3  VektorM[\([i]\)])\) u + 
        1/2  VektorM[\([i]\)] u^2 + 
        1/6 \((VektorM[\([i + 1]\)] - VektorM[\([i]\)])\) u^3\n\), 
    \(graf3 := 
      ParametricPlot[Table[\(phi[i]\)[u], {i, 1, 5}] // Evaluate, {u, 0, 1}, 
        PlotStyle \[Rule] Hue[0.3], AspectRatio -> Automatic]\n\t\t\), 
    \(Show[graf3, Graphics[{GrayLevel[0], PointSize[0.02], points}], 
      Axes \[Rule] True, \ AspectRatio -> Automatic]\n\), 
    \("\<RAZLIKA s prejsnjima grafoma je v okolici izhodisca!!!\>"\)}], 
  "Input"],

Cell[BoxData[
    \("Interpolacija s kubicnim zlepkom pri robnih podatkih: druga odvoda v \
zacetni in koncni tocki sta 0 - naraven zlepek!"\)], "Output"],

Cell[BoxData[
    \("b50 in b00..."\)], "Output"],

Cell[BoxData[
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Cell[BoxData[
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Cell[BoxData[
    \("Resitev sistema enacb..."\)], "Output"],

Cell[BoxData[
    \({{0, 0}, {450\/209, \(-\(300\/209\)\)}, {\(-\(546\/209\)\), 
        \(-\(54\/209\)\)}, {480\/209, \(-\(738\/209\)\)}, {\(-\(120\/209\)\), 
        498\/209}, {0, 0}}\)], "Output"],

Cell[BoxData[
    \("Kako izracunamo koordinato interpolacijskega polinoma?"\)], "Output"],

Cell[CellGroupData[{

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Cell[BoxData[{
    \("\<Nastavek za interpolacijo z B-zlepkom pri robnih podatkih: \
g0=gN=0!\>"\n\t\t\t\), 
    \(equationsB
       := {\ \(-5\)\ xm1 + 0\ x0 + 5\ x1 + 0\ x2 + 0\ x3 + 0\ x4 + 0\ x5 + 
            0\ x6 == 0, \n\t
        1\ xm1 + 4\ x0 + 1\ x1 + 0\ x2 + 0\ x3 + 0\ x4 + 0\ x5 + 0\ x6 == 0, 
        \n\t0\ xm1 + 1\ x0 + 4\ x1 + 1\ x2 + 0\ x3 + 0\ x4 + 0\ x5 + 0\ x6 == 
          6, \n\t0\ xm1 + 0\ x0 + 1\ x1 + 4\ x2 + 1\ x3 + 0\ x4 + 0\ x5 + 
            0\ x6 == 18, \n\t
        0\ xm1 + 0\ x0 + 5\ x1 + 1\ x2 + 4\ x3 + 1\ x4 + 0\ x5 + 0\ x6 == 24, 
        \n\t0\ xm1 + 0\ x0 + 5\ x1 + 0\ x2 + 1\ x3 + 4\ x4 + 1\ x5 + 0\ x6 == 
          36, \n\t0\ xm1 + 0\ x0 + 5\ x1 + 0\ x2 + 0\ x3 + 1\ x4 + 4\ x5 + 
            1\ x6 == 48, \n\t
        0\ xm1 + 0\ x0 + 5\ x1 + 0\ x2 + 0\ x3\  - 5\ x4 + 0\ x5 + 5\ x6 == 0}
        \n\), 
    \(x = Solve[equationsB, \ {xm1, x0, x1, x2, x3, x4, x5, x6}]\n\), 
    \("\<Nekje sem se zmotil! Vendar ni pomembno - glej spodaj!!!\>"\)}], 
  "Input"],

Cell[BoxData[
    \("Nastavek za interpolacijo z B-zlepkom pri robnih podatkih: \
g0=gN=0!"\)], "Output"],

Cell[BoxData[
    \({{xm1 \[Rule] 156\/227, x0 \[Rule] \(-\(78\/227\)\), 
        x1 \[Rule] 156\/227, x2 \[Rule] 816\/227, x3 \[Rule] 666\/227, 
        x4 \[Rule] 1188\/227, x5 \[Rule] 1974\/227, x6 \[Rule] 1032\/227}}\)],
   "Output"],

Cell[BoxData[
    \("Nekje sem se zmotil! Vendar ni pomembno - glej spodaj!!!"\)], "Output"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[{
    \("\<Interpolacija z B-zlepkom pri robnih podatkih: g0=gN=0!\>"\n\t\), 
    \(tocke1 = {{0, 0}, {1, 2}, {3, 3}, {4, 3}, {6, 1}, {8, 0}}; \n\n
    NPolinoma = 5; \n\n
    Matrika = {{\(-NPolinoma\), 0, NPolinoma, 0, 0, 0, 0, 0}, \n
        \t\t\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {1, 4, 1, 0, 0, 0, 0, 
          0}, \n\t\t\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {0, 1, 4, 1, 0, 
          0, 0, 0}, \n
        \t\t\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {0, 0, 1, 4, 1, 0, 0, 0}, 
        \ \ \ \ \ \ \n
        \t\t\t\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {0, 0, 0, 1, 4, 1, 0, 0}, \n
        \t\t\t\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {0, 0, 0, 0, 1, 4, 1, 0}, \n
        \t\t\t\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {0, 0, 0, 0, 0, 1, 4, 1}, \n
        \t\t\t\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {0, 0, 0, 0, 0, \(-NPolinoma\), 
          0, NPolinoma}}; \n\n
    VektorR\  := \ 
      LinearSolve[Matrika, \n\t
        6\ Flatten[{{{0, 0}}, \n\t\t\t\t\t\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
              tocke1, \n
              \t\t\t\t\t\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {{0, 0}}}, \n
            \t\t\t\t\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1]]\n\), 
    \("\<Resitev sistema enacb...\>"\n\t\), 
    \(\tVektorR\n\), 
    \("\<Kako izracunamo koordinato interpolacijskega polinoma?\>"\n\t\), 
    \("\<Bazna funkcija...\>"\n\t\), 
    \(B1[u_] := \((2 + u)\)^3/6; \nB2[u_] := \((4 - 6\ u^2 - 3\ u^3)\)/6; \n
    B3[u_] := \((4 - 6\ u^2 + 3\ u^3)\)/6; \nB4[u_] := \((2 - u)\)^3/6; \n
    B5[u_] := 0*u; \n\nB[u_] := B1[u] /; \(-2\) <= u <= \(-1\); 
    B[u_] := B2[u] /; \(-1\) <= u <= 0; \ B[u_] := B3[u] /; 0 <= u <= 1; 
    B[u_] := B4[u] /; 1 <= u <= 2; B[u_] := B5[u] /; u > 2\  || \ u < \(-2\)\n
    \t\t\), 
    \(Plot[B[u], {u, \(-2\), 2}]\n\n\), 
    \(rB[u_] := 
      Sum[B[u - i]\ VektorR[\([i + 2]\)], {i, \(-1\), 6}] // Evaluate; \n\n
     (*\ u\ gre\ od\ 0\ do\ 5 = N\ *) \n\n
    grafB := ParametricPlot[rB[u], {u, 0, 5}, PlotStyle \[Rule] Hue[0.3], 
        Axes \[Rule] True, \ AspectRatio -> Automatic, Compiled -> False]\n\),
   
    \(Show[grafB, Graphics[{GrayLevel[0], PointSize[0.02], points}], 
      Axes \[Rule] True, \ AspectRatio -> Automatic]\)}], "Input"],

Cell[BoxData[
    \("Interpolacija z B-zlepkom pri robnih podatkih: g0=gN=0!"\)], "Output"],

Cell[BoxData[
    \("Resitev sistema enacb..."\)], "Output"],

Cell[BoxData[
    \({{156\/209, 540\/209}, {\(-\(78\/209\)\), \(-\(270\/209\)\)}, {
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        1212\/209, 144\/209}, {1902\/209, \(-\(72\/209\)\)}, {1212\/209, 
        144\/209}}\)], "Output"],

Cell[BoxData[
    \("Kako izracunamo koordinato interpolacijskega polinoma?"\)], "Output"],

Cell[BoxData[
    \("Bazna funkcija..."\)], "Output"],

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Cell[BoxData[{
    \("\<Aproksimacija z B-zlepkom z uporabo fantomskih tock!\>"\n\t\), 
    \(tocke2 = {{0, 0}, {1, 2}, {3, 3}, {4, 3}, {6, 1}, {8, 0}}; \n\n
    rm1 := 2\ tocke2[\([1]\)] - tocke2[\([2]\)]\), 
    \(rNp1 := 2\ tocke2[\([6]\)] - tocke2[\([5]\)]\n\), 
    \(tocke1 := Flatten[{{rm1}, tocke2, {rNp1}}, 1]\n\), 
    \(tocke1\n\), 
    \("\<Kako izracunamo koordinato aproksimacijskega polinoma?\>"\n\t\), 
    \("\<Bazna funkcija...\>"\n\t\), 
    \(B1[u_] := \((2 + u)\)^3/6; \nB2[u_] := \((4 - 6\ u^2 - 3\ u^3)\)/6; \n
    B3[u_] := \((4 - 6\ u^2 + 3\ u^3)\)/6; \nB4[u_] := \((2 - u)\)^3/6; \n
    B5[u_] := 0*u; \n\nB[u_] := B1[u] /; \(-2\) <= u <= \(-1\); 
    B[u_] := B2[u] /; \(-1\) <= u <= 0; \ B[u_] := B3[u] /; 0 <= u <= 1; 
    B[u_] := B4[u] /; 1 <= u <= 2; B[u_] := B5[u] /; u > 2\  || \ u < \(-2\)\n
    \t\t\), 
    \(Plot[B[u], {u, \(-2\), 2}]\n\n\), 
    \(rB[u_] := 
      Sum[B[u - i]\ tocke1[\([i + 2]\)], {i, \(-1\), 6}] // Evaluate; \n\n
     (*\ u\ gre\ od\ 0\ do\ 5 = N\ *) \n\n
    grafB := ParametricPlot[rB[u], {u, 0, 5}, PlotStyle \[Rule] Hue[0.9], 
        Axes \[Rule] True, \ AspectRatio -> Automatic, Compiled -> False]\n\),
   
    \(Show[grafB, 
      Graphics[{Hue[0.3], Line[tocke2], GrayLevel[0], PointSize[0.02], 
          points}], Axes \[Rule] True, \ AspectRatio -> Automatic]\n\), 
    \("\<OPOMBA: Graf je 'enak' tistemu na zgoraj podani skici!\>"\)}], 
  "Input"],

Cell[BoxData[
    \("Aproksimacija z B-zlepkom z uporabo fantomskih tock!"\)], "Output"],

Cell[BoxData[
    \({{\(-1\), \(-2\)}, {0, 0}, {1, 2}, {3, 3}, {4, 3}, {6, 1}, {8, 0}, {10, 
        \(-1\)}}\)], "Output"],

Cell[BoxData[
    \("Kako izracunamo koordinato aproksimacijskega polinoma?"\)], "Output"],

Cell[BoxData[
    \("Bazna funkcija..."\)], "Output"],

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    \(ParametricPlot[Spirala[Phi] // Evaluate, {Phi, 0, 5  Pi}, 
      AspectRatio -> Automatic]; \n\n
    "\<Zgeneriramo 101 tocko, ki so enakomerno porazdeljene na intervalu [0,2 \
Pi]! =>\n
	\n
	Poznati moramo dolzino loka krivulje na tem intervalu!\>"\n\t\), 
    \(Velocity[Phi_] := D[Spirala[Phi], Phi]\n\t\n (*Norm\ od\ Velocity*) \), 
  
    \(Speed[Phi_] := 
      Sqrt[\(Velocity[Phi]\)[\([1]\)]^2 + \(Velocity[Phi]\)[\([2]\)]^2] // 
        Simplify\n\t\), 
    \(ArcLengthSpirala[t_] := Integrate[Speed[Phi], {Phi, 0, t}] // Evaluate\n
    \n (*Noce\ bolj\ poenostaviti\ izraza...*) \n
     (*Obrnemo, \ da\ dobimo\ t\ kot\ funkcijo\ s - \(ja!\)*) \), 
    \(Resitev = 
      Solve[\(s == ArcLengthSpirala[t] // PowerExpand\) // FullSimplify, t]\n
    \n (*Za\ hitrejse\ racunanje...*) \), 
    \(Arc[t_] := \(-8\)/3 + \((4\  + \ t^2)\)^\((3/2)\)/3\n\n
     (*Vzamemo\ pozitivno\ realno\ resitev...*) \), 
    \(Resitev[\([2]\)]\n\), 
    \(Res[s_] := Sqrt[\(-4\) + \((8 + 3\ s)\)^\((2/3)\)]\), 
    \(Res[4] // N\n\), 
    \(Tocke = 
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    \("\<Aproksimacija z B-zlepkom z uporabo fantomskih tock!\>"\n\t\), 
    \(rm1 := 2\ Tocke[\([1]\)] - Tocke[\([2]\)]\), 
    \(rNp1 := 2\ Tocke[\([101]\)] - Tocke[\([100]\)]\n\), 
    \(tocke1 := Flatten[{{rm1}, Tocke, {rNp1}}, 1]\n\), 
    \(tocke1\n\), 
    \("\<Kako izracunamo koordinato aproksimacijskega polinoma?\>"\n\t\), 
    \("\<Bazna funkcija...\>"\n\t\), 
    \(B1[u_] := \((2 + u)\)^3/6; \nB2[u_] := \((4 - 6\ u^2 - 3\ u^3)\)/6; \n
    B3[u_] := \((4 - 6\ u^2 + 3\ u^3)\)/6; \nB4[u_] := \((2 - u)\)^3/6; \n
    B5[u_] := 0*u; \n\nB[u_] := B1[u] /; \(-2\) <= u <= \(-1\); 
    B[u_] := B2[u] /; \(-1\) <= u <= 0; \ B[u_] := B3[u] /; 0 <= u <= 1; 
    B[u_] := B4[u] /; 1 <= u <= 2; B[u_] := B5[u] /; u > 2\  || \ u < \(-2\)\n
    \t\t\), 
    \(Plot[B[u], {u, \(-2\), 2}]\n\n\), 
    \(rB[u_] := 
      Sum[B[u - i]\ tocke1[\([i + 2]\)], {i, \(-1\), 101}] // Evaluate; \n\n
     (*\ u\ gre\ od\ 0\ do\ 100 = N\ *) \n\n
    grafB := ParametricPlot[rB[u], {u, 0, 100}, PlotStyle \[Rule] Hue[0.9], 
        Axes \[Rule] True, \ AspectRatio -> Automatic, Compiled -> False]\n\n
     (*Aproksimacijska\ krivulja\ in\ povezane\ tocke...*) \), 
    \(Show[grafB, Graphics[{Hue[0.3], Line[Tocke]}], Axes \[Rule] True, \ 
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Cell[BoxData[
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Cell[BoxData[
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Cell[BoxData[
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Cell[CellGroupData[{

Cell[BoxData[{
    \("\<Interpolacija s kubicnim zlepkom pri robnih podatkih: odvod v prvi \
in zadnji tocki je 0!\>"\n\t\), 
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    \(a00 = 1; \na01 = 1; \naNNm1 = 1; \naNN = 2; \n
    b00 = \(tocke1[\([2]\)]\)[\([1]\)] - \(tocke1[\([1]\)]\)[\([1]\)] - 0; \n
    bN0 = 0 - \(tocke1[\([101]\)]\)[\([1]\)] + 
        \(tocke1[\([100]\)]\)[\([1]\)]; \n
    b01 = \(tocke1[\([2]\)]\)[\([2]\)] - \(tocke1[\([1]\)]\)[\([2]\)] - 0; \n
    bN1 = 
      0 - \(tocke1[\([101]\)]\)[\([2]\)] + \(tocke1[\([100]\)]\)[\([2]\)]; \n
    \n\nVektorM\  := \ 
      LinearSolve[Matrika, \n\t
        6\ Flatten[{{{b00, b01}}, \n
              \t\t\t\t\t\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
              Table[\ \ \ \ \n
                \t\t\t\t\t\t\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {
                  \(tocke1[\([i]\)]\)[\([1]\)] - 
                    2 \( tocke1[\([i + 1]\)]\)[\([1]\)] + 
                    \(tocke1[\([i + 2]\)]\)[\([1]\)], \ \ \ \ \ \n
                  \t\t\t\t\t\t\t\t\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
                  \(tocke1[\([i]\)]\)[\([2]\)] - 
                    2\ \(tocke1[\([i + 1]\)]\)[\([2]\)] + 
                    \(tocke1[\([i + 2]\)]\)[\([2]\)]}, \n
                \t\t\t\t\t\t\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {i, 1, 
                  99}], \n\t\t\t\t\t\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {{bN0, 
                  bN1}}}, \n\t\t\t\t\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1]]\n\), 
    \("\<Resitev sistema enacb...\>"\n\t\), 
    \(VektorM\n\), 
    \("\<Kako izracunamo koordinato interpolacijskega polinoma?\>"\n\t\), 
    \(\(phi[i_]\)[u_] := 
      tocke1[\([i]\)] + 
        \((\((tocke1[\([i + 1]\)] - tocke1[\([i]\)])\) - 
              1/6  VektorM[\([i + 1]\)] - 1/3  VektorM[\([i]\)])\) u + 
        1/2  VektorM[\([i]\)] u^2 + 
        1/6 \((VektorM[\([i + 1]\)] - VektorM[\([i]\)])\) u^3\n\), 
    \(graf3 := 
      ParametricPlot[
        Table[\(phi[i]\)[u], {i, 1, 100}] // Evaluate, {u, 0, 1}, 
        PlotStyle \[Rule] Hue[0.9], AspectRatio -> Automatic]\n\t\t\), 
    \(Show[graf3, Graphics[{GrayLevel[0], PointSize[0.02], points}], 
      Axes \[Rule] True, \ AspectRatio -> Automatic]\)}], "Input"],

Cell[BoxData[
    \("Interpolacija s kubicnim zlepkom pri robnih podatkih: odvod v prvi in \
zadnji tocki je 0!"\)], "Output"],

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.19215 .53406 L
.19144 .53417 L
.19075 .53427 L
.19001 .53437 L
.1893 .53446 L
.18862 .53455 L
.18789 .53463 L
.18719 .53471 L
.18645 .53478 L
.18573 .53485 L
.18504 .53491 L
.1843 .53497 L
.18359 .53502 L
.18284 .53507 L
.18211 .53511 L
.18141 .53515 L
.18067 .53518 L
.17999 .53521 L
s
.17999 .53521 m
.17928 .53523 L
.17892 .53524 L
.17852 .53525 L
.17814 .53525 L
.1778 .53526 L
.17744 .53526 L
.17725 .53527 L
.17706 .53527 L
.17689 .53527 L
.1768 .53527 L
.1767 .53527 L
.17662 .53527 L
.17657 .53527 L
.17653 .53527 L
.17651 .53527 L
.17649 .53527 L
.17647 .53527 L
.17644 .53527 L
.17642 .53527 L
.1764 .53527 L
.17638 .53527 L
.17637 .53527 L
.17634 .53527 L
.17632 .53527 L
.1763 .53527 L
.17628 .53527 L
.17624 .53527 L
.17619 .53527 L
.17609 .53527 L
.176 .53527 L
.17582 .53527 L
.17562 .53527 L
.17527 .53526 L
.17493 .53526 L
.17423 .53525 L
.17348 .53523 L
.17276 .53521 L
.17207 .53518 L
.17134 .53515 L
.17063 .53511 L
.16987 .53507 L
.16915 .53502 L
.16845 .53498 L
.16771 .53492 L
.167 .53486 L
.16631 .5348 L
.16558 .53473 L
.16488 .53466 L
.16413 .53458 L
Mistroke
.16341 .53449 L
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.16271 .53441 L
Mfstroke
.16271 .53441 m
.16202 .53432 L
.16126 .53422 L
.16055 .53412 L
.15986 .53402 L
.15913 .5339 L
.15843 .53379 L
.15769 .53367 L
.15698 .53355 L
.15629 .53342 L
.15556 .53329 L
.15486 .53316 L
.15418 .53302 L
.15346 .53288 L
.15277 .53273 L
.15204 .53258 L
.15134 .53242 L
.15066 .53226 L
.14994 .5321 L
.14925 .53193 L
.14852 .53175 L
.14781 .53157 L
.14713 .53139 L
.14641 .5312 L
.14575 .53103 L
s
.14575 .53103 m
.14508 .53084 L
.14434 .53063 L
.14365 .53043 L
.14299 .53023 L
.14228 .53002 L
.14161 .52981 L
.14089 .52959 L
.1402 .52936 L
.13953 .52915 L
.13883 .52891 L
.13815 .52868 L
.1375 .52846 L
.13681 .52822 L
.13615 .52798 L
.13544 .52772 L
.13477 .52747 L
.13412 .52723 L
.13343 .52696 L
.13276 .52671 L
.13206 .52643 L
.13138 .52616 L
.13073 .52589 L
.13005 .52561 L
.12942 .52535 L
s
.12942 .52535 m
.12877 .52507 L
.12807 .52477 L
.12741 .52448 L
.12678 .5242 L
.12611 .52389 L
.12546 .5236 L
.12478 .52328 L
.12412 .52297 L
.12349 .52267 L
.12282 .52235 L
.12218 .52204 L
.12157 .52173 L
.12091 .5214 L
.12028 .52108 L
.11962 .52074 L
.11898 .52041 L
.11836 .52008 L
.11771 .51974 L
.11708 .5194 L
.11642 .51904 L
.11578 .51868 L
.11517 .51834 L
.11452 .51797 L
.11393 .51764 L
s
.11393 .51764 m
.11333 .51728 L
.11267 .5169 L
.11205 .51653 L
.11145 .51618 L
.11082 .51579 L
.11022 .51542 L
.10958 .51503 L
.10896 .51464 L
.10837 .51427 L
.10775 .51387 L
.10715 .51348 L
.10657 .5131 L
.10596 .5127 L
.10537 .51231 L
.10475 .51189 L
.10416 .51149 L
.10358 .51109 L
.10298 .51067 L
.1024 .51026 L
.10178 .50983 L
.10119 .5094 L
.10062 .50899 L
.10002 .50855 L
.09947 .50815 L
s
.09947 .50815 m
.09891 .50773 L
.09829 .50727 L
.09772 .50684 L
.09717 .50642 L
.09659 .50597 L
.09603 .50553 L
.09544 .50506 L
.09487 .50461 L
.09432 .50418 L
.09375 .50371 L
.09319 .50326 L
.09266 .50282 L
.0921 .50235 L
.09156 .5019 L
.09099 .50141 L
.09044 .50094 L
.08992 .50049 L
.08936 .50001 L
.08882 .49954 L
.08826 .49903 L
.08772 .49855 L
.0872 .49808 L
.08664 .49758 L
.08614 .49712 L
s
.08614 .49712 m
.08563 .49664 L
.08507 .49612 L
.08454 .49563 L
.08404 .49515 L
.08351 .49464 L
.083 .49415 L
.08246 .49362 L
.08195 .49311 L
.08145 .49262 L
.08092 .49209 L
.08042 .49159 L
.07994 .4911 L
.07943 .49057 L
.07894 .49007 L
.07842 .48952 L
.07792 .489 L
.07745 .4885 L
.07694 .48796 L
.07646 .48743 L
.07595 .48688 L
.07546 .48634 L
.07499 .48582 L
.07449 .48526 L
.07404 .48476 L
s
.07404 .48476 m
.07358 .48423 L
.07307 .48365 L
.0726 .48311 L
.07215 .48258 L
.07167 .48202 L
.07121 .48148 L
.07073 .48091 L
.07027 .48035 L
.06982 .47981 L
.06935 .47923 L
.0689 .47868 L
.06847 .47814 L
.06801 .47757 L
.06758 .47702 L
.06711 .47643 L
.06667 .47586 L
.06625 .47531 L
.0658 .47472 L
.06537 .47416 L
.06491 .47355 L
.06448 .47297 L
.06406 .47241 L
.06362 .47181 L
.06322 .47126 L
s
.06322 .47126 m
.0628 .47069 L
.06236 .47007 L
.06194 .46948 L
.06154 .46892 L
.06112 .46831 L
.06072 .46773 L
.06029 .46711 L
.05988 .46651 L
.05949 .46593 L
.05907 .46532 L
.05868 .46472 L
.0583 .46415 L
.0579 .46353 L
.05751 .46294 L
.05711 .46231 L
.05672 .46171 L
.05635 .46112 L
.05595 .46049 L
.05558 .45989 L
.05518 .45925 L
.0548 .45863 L
.05444 .45803 L
.05405 .45739 L
.0537 .4568 L
s
.0537 .4568 m
.05335 .4562 L
.05296 .45554 L
.0526 .45492 L
.05225 .45432 L
.05189 .45368 L
.05154 .45306 L
.05117 .45241 L
.05081 .45177 L
.05047 .45116 L
.05012 .45051 L
.04978 .44988 L
.04945 .44928 L
.04911 .44863 L
.04878 .44801 L
.04843 .44735 L
.04809 .44671 L
.04778 .44609 L
.04744 .44543 L
.04712 .4448 L
.04678 .44412 L
.04646 .44347 L
.04615 .44284 L
.04582 .44217 L
.04552 .44156 L
s
.04552 .44156 m
.04522 .44093 L
.04489 .44023 L
.04458 .43958 L
.04429 .43896 L
.04398 .43829 L
.04369 .43764 L
.04337 .43696 L
.04308 .4363 L
.04279 .43566 L
.04249 .43498 L
.04221 .43432 L
.04193 .43369 L
.04164 .43302 L
.04137 .43237 L
.04108 .43168 L
.0408 .43102 L
.04054 .43037 L
.04026 .42969 L
.03999 .42903 L
.03971 .42833 L
.03944 .42765 L
.03919 .427 L
.03892 .42631 L
.03867 .42567 L
s
.03867 .42567 m
.03842 .42501 L
.03815 .4243 L
.0379 .42362 L
.03766 .42297 L
.03741 .42228 L
.03717 .42162 L
.03691 .42091 L
.03667 .42022 L
.03644 .41956 L
.0362 .41886 L
.03597 .41819 L
.03574 .41753 L
.03551 .41684 L
.03529 .41617 L
.03506 .41546 L
.03483 .41477 L
.03462 .41411 L
.0344 .41341 L
.03419 .41273 L
.03396 .41201 L
.03375 .41131 L
.03355 .41064 L
.03334 .40993 L
.03314 .40927 L
s
.03314 .40927 m
.03295 .4086 L
.03273 .40786 L
.03254 .40717 L
.03235 .40651 L
.03215 .4058 L
.03197 .40511 L
.03177 .40439 L
.03158 .40368 L
.0314 .40301 L
.03122 .40229 L
.03104 .4016 L
.03087 .40093 L
.03069 .40022 L
.03053 .39954 L
.03035 .39881 L
.03018 .39811 L
.03002 .39743 L
.02985 .39671 L
.02969 .39602 L
.02953 .39528 L
.02937 .39457 L
.02922 .39389 L
.02906 .39316 L
.02892 .39249 L
s
.02892 .39249 m
.02878 .39181 L
.02862 .39106 L
.02848 .39035 L
.02834 .38967 L
.0282 .38895 L
.02807 .38825 L
.02793 .38751 L
.02779 .3868 L
.02767 .38611 L
.02753 .38538 L
.02741 .38468 L
.02729 .384 L
.02717 .38328 L
.02705 .38259 L
.02693 .38185 L
.02682 .38113 L
.02671 .38045 L
.02659 .37972 L
.02649 .37902 L
.02638 .37827 L
.02627 .37755 L
.02617 .37685 L
.02607 .37612 L
.02598 .37544 L
s
.02598 .37544 m
.02589 .37474 L
.02579 .37399 L
.0257 .37327 L
.02561 .37259 L
.02552 .37185 L
.02544 .37115 L
.02535 .3704 L
.02527 .36968 L
.0252 .36899 L
.02512 .36825 L
.02505 .36754 L
.02498 .36685 L
.02491 .36612 L
.02484 .36542 L
.02478 .36468 L
.02471 .36396 L
.02465 .36327 L
.02459 .36253 L
.02454 .36182 L
.02448 .36107 L
.02443 .36034 L
.02438 .35964 L
.02433 .3589 L
.02429 .35822 L
s
.02429 .35822 m
.02425 .35752 L
.0242 .35675 L
.02416 .35604 L
.02413 .35534 L
.02409 .35461 L
.02406 .3539 L
.02403 .35315 L
.024 .35242 L
.02397 .35173 L
.02394 .35098 L
.02392 .35027 L
.0239 .34958 L
.02388 .34885 L
.02387 .34815 L
.02385 .3474 L
.02384 .34668 L
.02383 .34598 L
.02382 .34524 L
.02382 .34453 L
.02381 .34414 L
.02381 .34396 L
.02381 .34378 L
.02381 .3436 L
.02381 .34341 L
.02381 .34324 L
.02381 .34315 L
.02381 .34307 L
.02381 .34298 L
.02381 .34294 L
.02381 .34289 L
.02381 .34286 L
.02381 .34284 L
.02381 .34282 L
.02381 .3428 L
.02381 .34278 L
.02381 .34276 L
.02381 .34275 L
.02381 .34273 L
.02381 .34271 L
.02381 .34268 L
.02381 .34266 L
.02381 .34264 L
.02381 .34261 L
.02381 .34257 L
.02381 .34253 L
.02381 .34245 L
.02381 .34237 L
.02381 .34218 L
.02381 .342 L
Mistroke
.02381 .34166 L
.02381 .3413 L
.02382 .34097 L
.02382 .34092 L
Mfstroke
.02382 .34092 m
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.02383 .33945 L
.02384 .33873 L
.02385 .33804 L
.02387 .33731 L
.02388 .3366 L
.0239 .33584 L
.02392 .33512 L
.02395 .33442 L
.02397 .33368 L
.024 .33296 L
.02402 .33228 L
.02406 .33155 L
.02409 .33084 L
.02412 .33009 L
.02416 .32937 L
.0242 .32868 L
.02424 .32794 L
.02428 .32723 L
.02433 .32648 L
.02437 .32575 L
.02442 .32505 L
.02447 .32431 L
.02452 .32363 L
s
.02452 .32363 m
.02458 .32293 L
.02464 .32217 L
.0247 .32145 L
.02475 .32076 L
.02482 .32003 L
.02488 .31932 L
.02495 .31857 L
.02502 .31785 L
.02509 .31715 L
.02516 .31642 L
.02523 .3157 L
.02531 .31502 L
.02539 .31429 L
.02546 .31359 L
.02555 .31285 L
.02563 .31213 L
.02572 .31144 L
.02581 .31071 L
.02589 .31 L
.02599 .30925 L
.02609 .30853 L
.02618 .30784 L
.02628 .3071 L
.02637 .30642 L
s
.02637 .30642 m
.02647 .30573 L
.02658 .30497 L
.02669 .30426 L
.02679 .30358 L
.0269 .30285 L
.02701 .30215 L
.02713 .3014 L
.02724 .30069 L
.02735 .3 L
.02747 .29927 L
.02759 .29856 L
.02771 .29788 L
.02784 .29716 L
.02796 .29647 L
.02809 .29573 L
.02822 .29502 L
.02835 .29434 L
.02848 .29361 L
.02862 .29291 L
.02876 .29217 L
.0289 .29146 L
.02904 .29077 L
.02918 .29004 L
.02932 .28937 L
s
.02932 .28937 m
.02946 .28868 L
.02962 .28793 L
.02977 .28723 L
.02991 .28656 L
.03007 .28584 L
.03022 .28514 L
.03039 .28441 L
.03055 .2837 L
.0307 .28302 L
.03087 .2823 L
.03103 .2816 L
.03119 .28093 L
.03136 .28022 L
.03153 .27953 L
.0317 .27881 L
.03188 .27811 L
.03205 .27743 L
.03223 .27672 L
.0324 .27603 L
.03259 .2753 L
.03278 .27459 L
.03295 .27391 L
.03315 .27319 L
.03332 .27254 L
s
.03332 .27254 m
.03351 .27186 L
.03371 .27112 L
.0339 .27043 L
.03409 .26976 L
.03429 .26905 L
.03448 .26837 L
.03469 .26765 L
.03489 .26695 L
.03509 .26628 L
.0353 .26557 L
.03551 .26488 L
.0357 .26422 L
.03592 .26352 L
.03612 .26285 L
.03635 .26213 L
.03656 .26145 L
.03677 .26078 L
.03699 .26008 L
.03721 .2594 L
.03744 .25868 L
.03767 .25799 L
.03789 .25733 L
.03812 .25662 L
.03834 .25597 L
s
.03834 .25597 m
.03856 .25531 L
.03881 .25458 L
.03904 .2539 L
.03927 .25325 L
.03951 .25255 L
.03974 .25188 L
.03999 .25117 L
.04024 .25049 L
.04047 .24983 L
.04073 .24914 L
.04097 .24846 L
.04121 .24782 L
.04146 .24713 L
.04171 .24647 L
.04197 .24577 L
.04223 .24509 L
.04247 .24445 L
.04274 .24376 L
.043 .24309 L
.04327 .24239 L
.04354 .24171 L
.04379 .24106 L
.04407 .24037 L
.04432 .23973 L
s
.04432 .23973 m
.04458 .23908 L
.04487 .23837 L
.04514 .23771 L
.04541 .23707 L
.04569 .23639 L
.04596 .23573 L
.04625 .23504 L
.04654 .23437 L
.04681 .23373 L
.0471 .23305 L
.04738 .23239 L
.04766 .23176 L
.04795 .23109 L
.04823 .23044 L
.04854 .22976 L
.04883 .2291 L
.04911 .22846 L
.04942 .22779 L
.04971 .22714 L
.05003 .22646 L
.05033 .22579 L
.05062 .22516 L
.05094 .22448 L
.05123 .22387 L
s
.05123 .22387 m
.05153 .22323 L
.05185 .22254 L
.05216 .22189 L
.05246 .22127 L
.05278 .2206 L
.05309 .21996 L
.05342 .21929 L
.05374 .21864 L
.05405 .21801 L
.05438 .21734 L
.0547 .21671 L
.05501 .21609 L
.05534 .21544 L
.05566 .21481 L
.056 .21414 L
.05633 .2135 L
.05665 .21288 L
.05699 .21223 L
.05732 .2116 L
.05767 .21093 L
.05801 .21028 L
.05834 .20967 L
.05869 .20901 L
.05901 .20841 L
s
.05901 .20841 m
.05934 .20779 L
.05971 .20712 L
.06005 .20649 L
.06039 .20588 L
.06074 .20524 L
.06109 .20462 L
.06145 .20396 L
.06181 .20333 L
.06215 .20272 L
.06252 .20207 L
.06287 .20145 L
.06321 .20085 L
.06358 .20022 L
.06393 .19961 L
.06431 .19896 L
.06467 .19834 L
.06502 .19774 L
.0654 .1971 L
.06576 .19649 L
.06615 .19584 L
.06652 .19522 L
.06689 .19462 L
.06727 .19398 L
.06763 .1934 L
s
.06763 .1934 m
.06799 .1928 L
.06839 .19215 L
.06877 .19154 L
.06914 .19095 L
.06953 .19033 L
.0699 .18973 L
.07031 .18909 L
.07069 .18848 L
.07107 .18789 L
.07147 .18726 L
.07186 .18666 L
.07223 .18608 L
.07263 .18547 L
.07301 .18488 L
.07342 .18425 L
.07382 .18365 L
.0742 .18307 L
.07461 .18245 L
.07501 .18186 L
.07543 .18124 L
.07584 .18063 L
.07623 .18005 L
.07665 .17944 L
.07703 .17887 L
s
.07703 .17887 m
.07743 .17829 L
.07786 .17766 L
.07827 .17707 L
.07867 .17651 L
.07909 .1759 L
.0795 .17532 L
.07993 .17471 L
.08035 .17412 L
.08076 .17355 L
.08119 .17294 L
.08161 .17236 L
.08201 .17181 L
.08244 .17121 L
.08286 .17064 L
.0833 .17004 L
.08373 .16946 L
.08414 .1689 L
.08458 .16831 L
.08501 .16774 L
.08546 .16713 L
.0859 .16655 L
.08632 .16599 L
.08677 .1654 L
.08718 .16486 L
s
.08718 .16486 m
.08761 .1643 L
.08808 .16369 L
.08852 .16312 L
.08894 .16258 L
.08939 .162 L
.08983 .16144 L
.0903 .16085 L
.09075 .16028 L
.09118 .15973 L
.09164 .15915 L
.09209 .15859 L
.09252 .15806 L
.09298 .15749 L
.09342 .15694 L
.0939 .15636 L
.09435 .1558 L
.09479 .15526 L
.09526 .15469 L
.09572 .15414 L
.0962 .15356 L
.09667 .153 L
.09712 .15247 L
.0976 .1519 L
.09804 .15138 L
s
.09804 .15138 m
.09849 .15084 L
.09899 .15026 L
.09946 .14971 L
.09991 .14919 L
.10039 .14863 L
.10085 .1481 L
.10135 .14753 L
.10183 .14698 L
.10229 .14646 L
.10278 .1459 L
.10325 .14537 L
.10371 .14485 L
.1042 .14431 L
.10467 .14378 L
.10517 .14323 L
.10565 .14269 L
.10612 .14218 L
.10662 .14163 L
.1071 .14111 L
.10761 .14055 L
.1081 .14002 L
.10858 .1395 L
.10909 .13896 L
.10955 .13846 L
s
.10955 .13846 m
.11003 .13795 L
.11056 .13739 L
.11105 .13687 L
.11153 .13637 L
.11204 .13583 L
.11253 .13532 L
.11305 .13478 L
.11355 .13426 L
.11404 .13375 L
.11456 .13322 L
.11506 .13271 L
.11554 .13222 L
.11605 .1317 L
.11655 .1312 L
.11708 .13067 L
.11759 .13016 L
.11808 .12967 L
.1186 .12914 L
.11911 .12864 L
.11964 .12811 L
.12016 .1276 L
.12066 .12711 L
.1212 .12659 L
.12169 .12612 L
s
.12169 .12612 m
.12219 .12563 L
.12274 .1251 L
.12326 .1246 L
.12376 .12412 L
.1243 .12362 L
.12481 .12313 L
.12536 .12261 L
.12589 .12211 L
.1264 .12164 L
.12694 .12113 L
.12746 .12064 L
.12797 .12018 L
.12851 .11968 L
.12902 .1192 L
.12958 .1187 L
.13011 .11821 L
.13062 .11775 L
.13117 .11725 L
.1317 .11677 L
.13226 .11627 L
.13281 .11579 L
.13333 .11532 L
.13389 .11483 L
.1344 .11437 L
s
.1344 .11437 m
.13493 .11391 L
.1355 .11341 L
.13604 .11293 L
.13657 .11248 L
.13712 .112 L
.13766 .11154 L
.13823 .11105 L
.13878 .11057 L
.13931 .11012 L
.13988 .10964 L
.14043 .10918 L
.14095 .10874 L
.14151 .10827 L
.14206 .10781 L
.14263 .10734 L
.14319 .10688 L
.14372 .10643 L
.14429 .10596 L
.14484 .10551 L
.14543 .10504 L
.14599 .10458 L
.14654 .10414 L
.14712 .10367 L
.14765 .10324 L
s
.14765 .10324 m
.1482 .1028 L
.1488 .10233 L
.14936 .10188 L
.1499 .10145 L
.15048 .101 L
.15104 .10056 L
.15163 .1001 L
.15221 .09965 L
.15276 .09922 L
.15335 .09877 L
.15391 .09833 L
.15446 .09792 L
.15504 .09747 L
.1556 .09704 L
.1562 .09659 L
.15678 .09616 L
.15733 .09574 L
.15792 .0953 L
.15849 .09487 L
.1591 .09442 L
.15969 .09399 L
.16025 .09358 L
.16085 .09314 L
.1614 .09273 L
s
.1614 .09273 m
.16197 .09232 L
.16259 .09187 L
.16317 .09145 L
.16373 .09105 L
.16433 .09062 L
.16491 .09021 L
.16552 .08977 L
.16612 .08935 L
.16669 .08895 L
.1673 .08853 L
.16788 .08812 L
.16845 .08772 L
.16905 .08731 L
.16963 .08691 L
.17025 .08648 L
.17084 .08607 L
.17141 .08568 L
.17203 .08527 L
.17261 .08487 L
.17324 .08445 L
.17385 .08404 L
.17443 .08365 L
.17505 .08324 L
.17562 .08286 L
s
.17562 .08286 m
.1762 .08247 L
.17684 .08205 L
.17744 .08166 L
.17802 .08128 L
.17864 .08088 L
.17923 .0805 L
.17987 .08009 L
.18048 .07969 L
.18107 .07932 L
.18169 .07892 L
.1823 .07854 L
.18288 .07817 L
.1835 .07778 L
.18409 .07741 L
.18473 .07701 L
.18534 .07663 L
.18593 .07626 L
.18656 .07587 L
.18717 .0755 L
.18781 .07511 L
.18843 .07473 L
.18903 .07437 L
.18967 .07398 L
.19026 .07363 L
s
.19026 .07363 m
.19086 .07327 L
.19152 .07288 L
.19213 .07251 L
.19273 .07216 L
.19336 .07178 L
.19397 .07143 L
.19462 .07105 L
.19525 .07068 L
.19586 .07033 L
.1965 .06996 L
.19712 .0696 L
.19772 .06926 L
.19835 .0689 L
.19897 .06855 L
.19962 .06818 L
.20025 .06783 L
.20085 .06749 L
.2015 .06713 L
.20212 .06679 L
.20278 .06642 L
.20342 .06607 L
.20403 .06573 L
.20469 .06537 L
.20528 .06505 L
s
.20528 .06505 m
.2059 .06471 L
.20658 .06435 L
.20721 .06401 L
.20782 .06369 L
.20847 .06334 L
.2091 .06301 L
.20976 .06266 L
.2104 .06232 L
.21102 .062 L
.21168 .06165 L
.21232 .06132 L
.21293 .06101 L
.21358 .06067 L
.21421 .06035 L
.21487 .06001 L
.21552 .05969 L
.21614 .05937 L
.2168 .05904 L
.21743 .05872 L
.21811 .05838 L
.21876 .05806 L
.21939 .05775 L
.22006 .05742 L
.22067 .05712 L
s
.22067 .05712 m
.2213 .05681 L
.22199 .05648 L
.22264 .05617 L
.22326 .05587 L
.22392 .05555 L
.22456 .05524 L
.22524 .05492 L
.2259 .05461 L
.22653 .05432 L
.2272 .054 L
.22785 .0537 L
.22848 .05341 L
.22914 .0531 L
.22978 .05281 L
.23046 .0525 L
.23112 .0522 L
.23175 .05191 L
.23243 .05161 L
.23307 .05132 L
.23376 .05101 L
.23443 .05071 L
.23507 .05043 L
.23575 .05013 L
.23638 .04985 L
s
.23638 .04985 m
.23702 .04957 L
.23772 .04927 L
.23838 .04898 L
.23902 .04871 L
.23969 .04842 L
.24035 .04814 L
.24104 .04785 L
.24171 .04756 L
.24235 .04729 L
.24304 .04701 L
.2437 .04673 L
.24433 .04647 L
.24501 .04619 L
.24566 .04592 L
.24635 .04564 L
.24702 .04537 L
.24767 .04511 L
.24835 .04483 L
.24901 .04457 L
.24971 .04429 L
.25039 .04402 L
.25104 .04376 L
.25174 .04349 L
.25237 .04324 L
s
.25237 .04324 m
.25303 .04299 L
.25374 .04271 L
.25441 .04246 L
.25506 .04221 L
.25575 .04195 L
.25641 .0417 L
.25711 .04143 L
.25779 .04118 L
.25845 .04093 L
.25914 .04067 L
.25981 .04043 L
.26046 .04019 L
.26115 .03994 L
.26181 .0397 L
.26251 .03944 L
.26319 .0392 L
.26385 .03897 L
.26454 .03872 L
.26521 .03848 L
.26593 .03823 L
.26661 .03799 L
.26728 .03776 L
.26798 .03752 L
.26862 .0373 L
s
.26862 .0373 m
.26929 .03707 L
.27001 .03682 L
.27069 .03659 L
.27135 .03637 L
.27205 .03614 L
.27272 .03591 L
.27344 .03568 L
.27412 .03545 L
.27479 .03523 L
.27549 .035 L
.27617 .03478 L
.27683 .03457 L
.27753 .03435 L
.2782 .03414 L
.27891 .03391 L
.2796 .03369 L
.28026 .03349 L
.28097 .03327 L
.28165 .03306 L
.28237 .03283 L
.28307 .03262 L
.28374 .03242 L
.28445 .0322 L
.2851 .03201 L
s
.2851 .03201 m
.28578 .03181 L
.28651 .03159 L
.2872 .03139 L
.28786 .03119 L
.28857 .03099 L
.28925 .03079 L
.28998 .03058 L
.29067 .03038 L
.29134 .03019 L
.29206 .02999 L
.29275 .0298 L
.29341 .02961 L
.29412 .02942 L
.2948 .02923 L
.29552 .02903 L
.29621 .02884 L
.29688 .02866 L
.2976 .02847 L
.29829 .02829 L
.29902 .0281 L
.29972 .02791 L
.3004 .02774 L
.30112 .02755 L
.30178 .02738 L
s
.30178 .02738 m
.30246 .0272 L
.3032 .02702 L
.3039 .02684 L
.30457 .02667 L
.30528 .02649 L
.30597 .02632 L
.3067 .02614 L
.30741 .02597 L
.30809 .02581 L
.30881 .02564 L
.30951 .02547 L
.31017 .02531 L
.31089 .02514 L
.31157 .02498 L
.3123 .02481 L
.31301 .02465 L
.31368 .0245 L
.3144 .02434 L
.3151 .02418 L
.31583 .02402 L
.31655 .02386 L
.31723 .02371 L
.31796 .02355 L
.31862 .0234 L
s
.31862 .0234 m
.31931 .02326 L
.32006 .0231 L
.32076 .02295 L
.32144 .02281 L
.32216 .02266 L
.32285 .02251 L
.32359 .02236 L
.3243 .02222 L
.32499 .02208 L
.32572 .02194 L
.32642 .0218 L
.32709 .02166 L
.32781 .02152 L
.3285 .02139 L
.32924 .02125 L
.32995 .02112 L
.33063 .02099 L
.33136 .02085 L
.33206 .02072 L
.3328 .02059 L
.33352 .02046 L
.3342 .02033 L
.33494 .0202 L
.33561 .02008 L
s
.33561 .02008 m
.3363 .01996 L
.33706 .01983 L
.33776 .01971 L
.33845 .01959 L
.33917 .01947 L
.33987 .01935 L
.34061 .01923 L
.34133 .01911 L
.34202 .019 L
.34275 .01889 L
.34346 .01877 L
.34414 .01867 L
.34486 .01855 L
.34556 .01845 L
.3463 .01833 L
.34701 .01823 L
.3477 .01812 L
.34843 .01802 L
.34913 .01791 L
.34988 .01781 L
.3506 .0177 L
.3513 .01761 L
.35203 .0175 L
.35271 .01741 L
s
.35271 .01741 m
.3534 .01731 L
.35416 .01721 L
.35488 .01712 L
.35556 .01703 L
.35629 .01693 L
.35699 .01684 L
.35774 .01675 L
.35846 .01666 L
.35915 .01657 L
.35989 .01648 L
.3606 .0164 L
.36128 .01632 L
.36201 .01623 L
.36271 .01615 L
.36346 .01606 L
.36417 .01598 L
.36486 .01591 L
.3656 .01583 L
.3663 .01575 L
.36706 .01567 L
.36778 .01559 L
.36848 .01552 L
.36922 .01545 L
.3699 .01538 L
s
.3699 .01538 m
.37059 .01531 L
.37136 .01524 L
.37207 .01517 L
.37276 .0151 L
.37349 .01504 L
.3742 .01497 L
.37495 .0149 L
.37567 .01484 L
.37637 .01478 L
.37711 .01472 L
.37782 .01466 L
.37851 .0146 L
.37924 .01454 L
.37994 .01449 L
.38069 .01443 L
.38141 .01438 L
.3821 .01433 L
.38283 .01427 L
.38354 .01422 L
.3843 .01417 L
.38502 .01412 L
.38572 .01408 L
.38647 .01403 L
.38715 .01398 L
s
.38715 .01398 m
.38785 .01394 L
.38861 .0139 L
.38933 .01385 L
.39002 .01381 L
.39076 .01377 L
.39146 .01373 L
.39222 .0137 L
.39294 .01366 L
.39364 .01362 L
.39438 .01359 L
.39509 .01355 L
.39578 .01352 L
.39651 .01349 L
.39722 .01346 L
.39796 .01343 L
.39869 .0134 L
.39938 .01338 L
.40012 .01335 L
.40083 .01333 L
.40158 .0133 L
.40231 .01328 L
.40301 .01326 L
.40376 .01324 L
.40444 .01322 L
s
.40444 .01322 m
.40514 .0132 L
.4059 .01318 L
.40662 .01317 L
.40732 .01315 L
.40805 .01314 L
.40876 .01313 L
.40951 .01311 L
.41024 .0131 L
.41094 .01309 L
.41168 .01309 L
.41239 .01308 L
.41308 .01307 L
.41381 .01307 L
.41452 .01306 L
.41488 .01306 L
.41527 .01306 L
.41565 .01306 L
.41599 .01306 L
.41616 .01306 L
.41635 .01306 L
.41645 .01306 L
.41654 .01306 L
.41663 .01306 L
.41673 .01306 L
.41678 .01306 L
.41682 .01306 L
.41686 .01306 L
.4169 .01306 L
.41694 .01306 L
.41696 .01306 L
.41698 .01306 L
.41701 .01306 L
.41703 .01306 L
.41705 .01306 L
.41707 .01306 L
.41709 .01306 L
.41712 .01306 L
.41714 .01306 L
.41716 .01306 L
.41721 .01306 L
.41725 .01306 L
.41735 .01306 L
.41745 .01306 L
.41762 .01306 L
.41781 .01306 L
.418 .01306 L
.41819 .01306 L
.41856 .01306 L
.41889 .01306 L
Mistroke
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.42105 .01307 L
.42174 .01308 L
Mfstroke
.42174 .01308 m
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.42321 .01309 L
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.42536 .01313 L
.42607 .01314 L
.42682 .01315 L
.42755 .01317 L
.42824 .01318 L
.42899 .0132 L
.4297 .01322 L
.43039 .01324 L
.43112 .01326 L
.43182 .01328 L
.43257 .0133 L
.43329 .01333 L
.43399 .01335 L
.43473 .01338 L
.43544 .0134 L
.43619 .01343 L
.43692 .01346 L
.43762 .01349 L
.43836 .01352 L
.43904 .01355 L
s
.43904 .01355 m
.43975 .01358 L
.44051 .01362 L
.44123 .01365 L
.44192 .01369 L
.44266 .01373 L
.44336 .01376 L
.44411 .0138 L
.44484 .01385 L
.44554 .01389 L
.44628 .01393 L
.44699 .01397 L
.44768 .01401 L
.44841 .01406 L
.44911 .01411 L
.44986 .01416 L
.45058 .0142 L
.45127 .01425 L
.45201 .0143 L
.45272 .01436 L
.45347 .01441 L
.4542 .01447 L
.4549 .01452 L
.45564 .01458 L
.45632 .01463 L
s
.45632 .01463 m
.45702 .01469 L
.45778 .01475 L
.4585 .01481 L
.45919 .01487 L
.45992 .01493 L
.46063 .01499 L
.46138 .01506 L
.4621 .01513 L
.46279 .01519 L
.46353 .01526 L
.46425 .01533 L
.46493 .01539 L
.46566 .01546 L
.46636 .01553 L
.46711 .01561 L
.46782 .01568 L
.46851 .01576 L
.46925 .01583 L
.46996 .01591 L
.47071 .01599 L
.47143 .01607 L
.47213 .01615 L
.47287 .01623 L
.47354 .01631 L
s
.47354 .01631 m
.47424 .01639 L
.475 .01648 L
.47572 .01656 L
.4764 .01664 L
.47713 .01673 L
.47784 .01682 L
.47858 .01691 L
.4793 .017 L
.48 .01709 L
.48073 .01718 L
.48144 .01728 L
.48212 .01737 L
.48285 .01746 L
.48355 .01756 L
.48429 .01766 L
.48501 .01775 L
.48569 .01785 L
.48643 .01795 L
.48713 .01805 L
.48788 .01816 L
.4886 .01826 L
.48929 .01836 L
.49003 .01847 L
.4907 .01857 L
s
.4907 .01857 m
.4914 .01868 L
.49215 .01879 L
.49286 .0189 L
.49355 .019 L
.49428 .01912 L
.49498 .01923 L
.49572 .01935 L
.49644 .01946 L
.49713 .01957 L
.49786 .01969 L
.49856 .01981 L
.49924 .01992 L
.49996 .02004 L
.50066 .02016 L
.5014 .02028 L
.50211 .02041 L
.50279 .02052 L
.50352 .02065 L
.50422 .02077 L
.50497 .02091 L
.50568 .02103 L
.50637 .02116 L
.5071 .02129 L
.50777 .02141 L
s
.50777 .02141 m
.50847 .02154 L
.50922 .02168 L
.50992 .02181 L
.5106 .02194 L
.51133 .02208 L
.51202 .02221 L
.51276 .02236 L
.51348 .0225 L
.51416 .02263 L
.51489 .02277 L
.51559 .02291 L
.51626 .02305 L
.51698 .02319 L
.51767 .02333 L
.51841 .02348 L
.51911 .02363 L
.51979 .02377 L
.52052 .02392 L
.52121 .02407 L
.52195 .02423 L
.52266 .02438 L
.52335 .02452 L
.52408 .02468 L
.52474 .02483 L
s
.52474 .02483 m
.52543 .02498 L
.52618 .02514 L
.52688 .0253 L
.52755 .02545 L
.52827 .02561 L
.52896 .02577 L
.5297 .02593 L
.5304 .0261 L
.53108 .02625 L
.53181 .02642 L
.5325 .02658 L
.53317 .02674 L
.53389 .02691 L
.53457 .02707 L
.5353 .02725 L
.536 .02742 L
.53668 .02758 L
.53739 .02775 L
.53808 .02792 L
.53882 .0281 L
.53953 .02828 L
.54021 .02845 L
.54093 .02863 L
.54159 .0288 L
s
.54159 .0288 m
.54227 .02897 L
.54301 .02916 L
.54371 .02934 L
.54438 .02951 L
.54509 .0297 L
.54578 .02987 L
.5465 .03007 L
.54721 .03025 L
.54788 .03043 L
.5486 .03062 L
.54929 .03081 L
.54995 .03099 L
.55066 .03118 L
.55134 .03136 L
.55206 .03156 L
.55276 .03175 L
.55343 .03194 L
.55414 .03214 L
.55482 .03233 L
.55555 .03253 L
.55625 .03273 L
.55692 .03292 L
.55764 .03313 L
.5583 .03331 L
s
.5583 .03331 m
.55897 .03351 L
.55971 .03372 L
.5604 .03392 L
.56106 .03412 L
.56177 .03433 L
.56245 .03453 L
.56317 .03474 L
.56386 .03495 L
.56453 .03515 L
.56524 .03536 L
.56593 .03557 L
.56658 .03577 L
.56728 .03599 L
.56796 .03619 L
.56867 .03641 L
.56936 .03663 L
.57003 .03684 L
.57073 .03706 L
.57141 .03727 L
.57213 .0375 L
.57282 .03772 L
.57349 .03793 L
.5742 .03816 L
.57485 .03837 L
s
.57485 .03837 m
.57552 .03858 L
.57624 .03882 L
.57693 .03904 L
.57759 .03926 L
.57828 .03949 L
.57896 .03971 L
.57967 .03995 L
.58036 .04018 L
.58102 .0404 L
.58173 .04064 L
.5824 .04087 L
.58305 .04109 L
.58375 .04133 L
.58441 .04155 L
.58512 .0418 L
.5858 .04203 L
.58646 .04226 L
.58716 .04251 L
.58783 .04274 L
.58854 .04299 L
.58923 .04323 L
.58989 .04347 L
.59059 .04372 L
.59123 .04395 L
s
.59123 .04395 m
.59189 .04418 L
.59261 .04444 L
.59329 .04469 L
.59394 .04493 L
.59463 .04518 L
.5953 .04542 L
.596 .04568 L
.59668 .04593 L
.59734 .04618 L
.59803 .04644 L
.5987 .04669 L
.59935 .04693 L
.60003 .04719 L
.60069 .04743 L
.60139 .0477 L
.60207 .04796 L
.60272 .04821 L
.6034 .04847 L
.60407 .04873 L
.60477 .049 L
.60545 .04926 L
.6061 .04952 L
.6068 .04979 L
.60743 .05004 L
s
.60743 .05004 m
.60808 .0503 L
.6088 .05058 L
.60946 .05085 L
.61011 .0511 L
.61079 .05138 L
.61145 .05164 L
.61215 .05192 L
.61282 .0522 L
.61346 .05246 L
.61415 .05274 L
.61481 .05301 L
.61545 .05327 L
.61613 .05355 L
.61678 .05382 L
.61747 .05411 L
.61814 .05439 L
.61878 .05466 L
.61946 .05494 L
.62011 .05522 L
.62081 .05551 L
.62148 .0558 L
.62212 .05607 L
.62281 .05637 L
.62343 .05664 L
s
.62343 .05664 m
.62408 .05691 L
.62478 .05722 L
.62544 .05751 L
.62607 .05778 L
.62675 .05808 L
.6274 .05836 L
.62809 .05866 L
.62875 .05896 L
.62939 .05924 L
.63007 .05954 L
.63072 .05983 L
.63135 .06012 L
.63202 .06042 L
.63266 .06071 L
.63334 .06102 L
.634 .06131 L
.63463 .0616 L
.6353 .06191 L
.63595 .06221 L
.63663 .06252 L
.63729 .06283 L
.63793 .06312 L
.63861 .06344 L
.63922 .06372 L
s
.63922 .06372 m
.63986 .06402 L
.64055 .06435 L
.6412 .06465 L
.64183 .06495 L
.64249 .06526 L
.64313 .06557 L
.64381 .06589 L
.64447 .06621 L
.6451 .06651 L
.64576 .06683 L
.64641 .06714 L
.64703 .06744 L
.64769 .06776 L
.64832 .06807 L
.64899 .0684 L
.64964 .06872 L
.65026 .06903 L
.65092 .06936 L
.65156 .06967 L
.65224 .07001 L
.65289 .07033 L
.65351 .07065 L
.65418 .07098 L
.65479 .07129 L
s
.65479 .07129 m
.65542 .07161 L
.6561 .07195 L
.65674 .07228 L
.65735 .07259 L
.65801 .07293 L
.65864 .07325 L
.65931 .0736 L
.65995 .07393 L
.66057 .07425 L
.66123 .0746 L
.66187 .07493 L
.66248 .07525 L
.66312 .07559 L
.66375 .07591 L
.66441 .07626 L
.66505 .0766 L
.66566 .07693 L
.66631 .07727 L
.66694 .07761 L
.66761 .07797 L
.66825 .07831 L
.66886 .07864 L
.66952 .079 L
.67012 .07932 L
s
.67012 .07932 m
.67074 .07966 L
.67141 .08003 L
.67204 .08037 L
.67264 .0807 L
.67329 .08106 L
.67391 .0814 L
.67457 .08177 L
.6752 .08212 L
.67581 .08246 L
.67646 .08282 L
.67708 .08317 L
.67768 .08351 L
.67832 .08387 L
.67894 .08421 L
.67959 .08458 L
.68021 .08494 L
.68082 .08528 L
.68146 .08565 L
.68208 .086 L
.68273 .08638 L
.68336 .08675 L
.68397 .0871 L
.68461 .08747 L
.6852 .08781 L
s
.6852 .08781 m
.68581 .08817 L
.68647 .08855 L
.68709 .08892 L
.68768 .08927 L
.68832 .08964 L
.68893 .09 L
.68958 .09039 L
.6902 .09076 L
.6908 .09112 L
.69144 .0915 L
.69205 .09187 L
.69264 .09222 L
.69327 .0926 L
.69387 .09296 L
.69451 .09335 L
.69513 .09373 L
.69572 .09409 L
.69635 .09447 L
.69695 .09485 L
.6976 .09524 L
.69822 .09562 L
.69881 .09599 L
.69945 .09639 L
.70003 .09674 L
s
.70003 .09674 m
.70062 .09712 L
.70127 .09752 L
.70188 .0979 L
.70247 .09827 L
.70309 .09867 L
.70369 .09904 L
.70432 .09945 L
.70494 .09984 L
.70552 .10021 L
.70615 .10061 L
.70675 .101 L
.70733 .10137 L
.70795 .10177 L
.70854 .10215 L
.70917 .10256 L
.70977 .10295 L
.71035 .10333 L
.71097 .10373 L
.71157 .10412 L
.7122 .10453 L
.71281 .10493 L
.71339 .10532 L
.71401 .10573 L
.71458 .10611 L
s
.71458 .10611 m
.71517 .1065 L
.7158 .10692 L
.7164 .10732 L
.71698 .10771 L
.71759 .10812 L
.71817 .10851 L
.7188 .10893 L
.7194 .10934 L
.71998 .10973 L
.72059 .11015 L
.72118 .11056 L
.72175 .11094 L
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.17582 .53527 L
.17562 .53527 L
.17527 .53526 L
.17493 .53526 L
.17423 .53525 L
.17348 .53523 L
.17276 .53521 L
.17207 .53518 L
.17134 .53515 L
.17063 .53511 L
.16987 .53507 L
.16915 .53502 L
.16845 .53498 L
.16771 .53492 L
.167 .53486 L
.16631 .5348 L
.16558 .53473 L
.16488 .53466 L
.16413 .53458 L
Mistroke
.16341 .53449 L
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.16271 .53441 L
Mfstroke
.16271 .53441 m
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.16126 .53422 L
.16055 .53412 L
.15986 .53402 L
.15913 .5339 L
.15843 .53379 L
.15769 .53367 L
.15698 .53355 L
.15629 .53342 L
.15556 .53329 L
.15486 .53316 L
.15418 .53302 L
.15346 .53288 L
.15277 .53273 L
.15204 .53258 L
.15134 .53242 L
.15066 .53226 L
.14994 .5321 L
.14925 .53193 L
.14852 .53175 L
.14781 .53157 L
.14713 .53139 L
.14641 .5312 L
.14575 .53103 L
s
.14575 .53103 m
.14508 .53084 L
.14434 .53063 L
.14365 .53043 L
.14299 .53023 L
.14228 .53002 L
.14161 .52981 L
.14089 .52959 L
.1402 .52936 L
.13953 .52915 L
.13883 .52891 L
.13815 .52868 L
.1375 .52846 L
.13681 .52822 L
.13615 .52798 L
.13544 .52772 L
.13477 .52747 L
.13412 .52723 L
.13343 .52696 L
.13276 .52671 L
.13206 .52643 L
.13138 .52616 L
.13073 .52589 L
.13005 .52561 L
.12942 .52535 L
s
.12942 .52535 m
.12877 .52507 L
.12807 .52477 L
.12741 .52448 L
.12678 .5242 L
.12611 .52389 L
.12546 .5236 L
.12478 .52328 L
.12412 .52297 L
.12349 .52267 L
.12282 .52235 L
.12218 .52204 L
.12157 .52173 L
.12091 .5214 L
.12028 .52108 L
.11962 .52074 L
.11898 .52041 L
.11836 .52008 L
.11771 .51974 L
.11708 .5194 L
.11642 .51904 L
.11578 .51868 L
.11517 .51834 L
.11452 .51797 L
.11393 .51764 L
s
.11393 .51764 m
.11333 .51728 L
.11267 .5169 L
.11205 .51653 L
.11145 .51618 L
.11082 .51579 L
.11022 .51542 L
.10958 .51503 L
.10896 .51464 L
.10837 .51427 L
.10775 .51387 L
.10715 .51348 L
.10657 .5131 L
.10596 .5127 L
.10537 .51231 L
.10475 .51189 L
.10416 .51149 L
.10358 .51109 L
.10298 .51067 L
.1024 .51026 L
.10178 .50983 L
.10119 .5094 L
.10062 .50899 L
.10002 .50855 L
.09947 .50815 L
s
.09947 .50815 m
.09891 .50773 L
.09829 .50727 L
.09772 .50684 L
.09717 .50642 L
.09659 .50597 L
.09603 .50553 L
.09544 .50506 L
.09487 .50461 L
.09432 .50418 L
.09375 .50371 L
.09319 .50326 L
.09266 .50282 L
.0921 .50235 L
.09156 .5019 L
.09099 .50141 L
.09044 .50094 L
.08992 .50049 L
.08936 .50001 L
.08882 .49954 L
.08826 .49903 L
.08772 .49855 L
.0872 .49808 L
.08664 .49758 L
.08614 .49712 L
s
.08614 .49712 m
.08563 .49664 L
.08507 .49612 L
.08454 .49563 L
.08404 .49515 L
.08351 .49464 L
.083 .49415 L
.08246 .49362 L
.08195 .49311 L
.08145 .49262 L
.08092 .49209 L
.08042 .49159 L
.07994 .4911 L
.07943 .49057 L
.07894 .49007 L
.07842 .48952 L
.07792 .489 L
.07745 .4885 L
.07694 .48796 L
.07646 .48743 L
.07595 .48688 L
.07546 .48634 L
.07499 .48582 L
.07449 .48526 L
.07404 .48476 L
s
.07404 .48476 m
.07358 .48423 L
.07307 .48365 L
.0726 .48311 L
.07215 .48258 L
.07167 .48202 L
.07121 .48148 L
.07073 .48091 L
.07027 .48035 L
.06982 .47981 L
.06935 .47923 L
.0689 .47868 L
.06847 .47814 L
.06801 .47757 L
.06758 .47702 L
.06711 .47643 L
.06667 .47586 L
.06625 .47531 L
.0658 .47472 L
.06537 .47416 L
.06491 .47355 L
.06448 .47297 L
.06406 .47241 L
.06362 .47181 L
.06322 .47126 L
s
.06322 .47126 m
.0628 .47069 L
.06236 .47007 L
.06194 .46948 L
.06154 .46892 L
.06112 .46831 L
.06072 .46773 L
.06029 .46711 L
.05988 .46651 L
.05949 .46593 L
.05907 .46532 L
.05868 .46472 L
.0583 .46415 L
.0579 .46353 L
.05751 .46294 L
.05711 .46231 L
.05672 .46171 L
.05635 .46112 L
.05595 .46049 L
.05558 .45989 L
.05518 .45925 L
.0548 .45863 L
.05444 .45803 L
.05405 .45739 L
.0537 .4568 L
s
.0537 .4568 m
.05335 .4562 L
.05296 .45554 L
.0526 .45492 L
.05225 .45432 L
.05189 .45368 L
.05154 .45306 L
.05117 .45241 L
.05081 .45177 L
.05047 .45116 L
.05012 .45051 L
.04978 .44988 L
.04945 .44928 L
.04911 .44863 L
.04878 .44801 L
.04843 .44735 L
.04809 .44671 L
.04778 .44609 L
.04744 .44543 L
.04712 .4448 L
.04678 .44412 L
.04646 .44347 L
.04615 .44284 L
.04582 .44217 L
.04552 .44156 L
s
.04552 .44156 m
.04522 .44093 L
.04489 .44023 L
.04458 .43958 L
.04429 .43896 L
.04398 .43829 L
.04369 .43764 L
.04337 .43696 L
.04308 .4363 L
.04279 .43566 L
.04249 .43498 L
.04221 .43432 L
.04193 .43369 L
.04164 .43302 L
.04137 .43237 L
.04108 .43168 L
.0408 .43102 L
.04054 .43037 L
.04026 .42969 L
.03999 .42903 L
.03971 .42833 L
.03944 .42765 L
.03919 .427 L
.03892 .42631 L
.03867 .42567 L
s
.03867 .42567 m
.03842 .42501 L
.03815 .4243 L
.0379 .42362 L
.03766 .42297 L
.03741 .42228 L
.03717 .42162 L
.03691 .42091 L
.03667 .42022 L
.03644 .41956 L
.0362 .41886 L
.03597 .41819 L
.03574 .41753 L
.03551 .41684 L
.03529 .41617 L
.03506 .41546 L
.03483 .41477 L
.03462 .41411 L
.0344 .41341 L
.03419 .41273 L
.03396 .41201 L
.03375 .41131 L
.03355 .41064 L
.03334 .40993 L
.03314 .40927 L
s
.03314 .40927 m
.03295 .4086 L
.03273 .40786 L
.03254 .40717 L
.03235 .40651 L
.03215 .4058 L
.03197 .40511 L
.03177 .40439 L
.03158 .40368 L
.0314 .40301 L
.03122 .40229 L
.03104 .4016 L
.03087 .40093 L
.03069 .40022 L
.03053 .39954 L
.03035 .39881 L
.03018 .39811 L
.03002 .39743 L
.02985 .39671 L
.02969 .39602 L
.02953 .39528 L
.02937 .39457 L
.02922 .39389 L
.02906 .39316 L
.02892 .39249 L
s
.02892 .39249 m
.02878 .39181 L
.02862 .39106 L
.02848 .39035 L
.02834 .38967 L
.0282 .38895 L
.02807 .38825 L
.02793 .38751 L
.02779 .3868 L
.02767 .38611 L
.02753 .38538 L
.02741 .38468 L
.02729 .384 L
.02717 .38328 L
.02705 .38259 L
.02693 .38185 L
.02682 .38113 L
.02671 .38045 L
.02659 .37972 L
.02649 .37902 L
.02638 .37827 L
.02627 .37755 L
.02617 .37685 L
.02607 .37612 L
.02598 .37544 L
s
.02598 .37544 m
.02589 .37474 L
.02579 .37399 L
.0257 .37327 L
.02561 .37259 L
.02552 .37185 L
.02544 .37115 L
.02535 .3704 L
.02527 .36968 L
.0252 .36899 L
.02512 .36825 L
.02505 .36754 L
.02498 .36685 L
.02491 .36612 L
.02484 .36542 L
.02478 .36468 L
.02471 .36396 L
.02465 .36327 L
.02459 .36253 L
.02454 .36182 L
.02448 .36107 L
.02443 .36034 L
.02438 .35964 L
.02433 .3589 L
.02429 .35822 L
s
.02429 .35822 m
.02425 .35752 L
.0242 .35675 L
.02416 .35604 L
.02413 .35534 L
.02409 .35461 L
.02406 .3539 L
.02403 .35315 L
.024 .35242 L
.02397 .35173 L
.02394 .35098 L
.02392 .35027 L
.0239 .34958 L
.02388 .34885 L
.02387 .34815 L
.02385 .3474 L
.02384 .34668 L
.02383 .34598 L
.02382 .34524 L
.02382 .34453 L
.02381 .34414 L
.02381 .34396 L
.02381 .34378 L
.02381 .3436 L
.02381 .34341 L
.02381 .34324 L
.02381 .34315 L
.02381 .34307 L
.02381 .34298 L
.02381 .34294 L
.02381 .34289 L
.02381 .34286 L
.02381 .34284 L
.02381 .34282 L
.02381 .3428 L
.02381 .34278 L
.02381 .34276 L
.02381 .34275 L
.02381 .34273 L
.02381 .34271 L
.02381 .34268 L
.02381 .34266 L
.02381 .34264 L
.02381 .34261 L
.02381 .34257 L
.02381 .34253 L
.02381 .34245 L
.02381 .34237 L
.02381 .34218 L
.02381 .342 L
Mistroke
.02381 .34166 L
.02381 .3413 L
.02382 .34097 L
.02382 .34092 L
Mfstroke
.02382 .34092 m
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.02383 .33945 L
.02384 .33873 L
.02385 .33804 L
.02387 .33731 L
.02388 .3366 L
.0239 .33584 L
.02392 .33512 L
.02395 .33442 L
.02397 .33368 L
.024 .33296 L
.02402 .33228 L
.02406 .33155 L
.02409 .33084 L
.02412 .33009 L
.02416 .32937 L
.0242 .32868 L
.02424 .32794 L
.02428 .32723 L
.02433 .32648 L
.02437 .32575 L
.02442 .32505 L
.02447 .32431 L
.02452 .32363 L
s
.02452 .32363 m
.02458 .32293 L
.02464 .32217 L
.0247 .32145 L
.02475 .32076 L
.02482 .32003 L
.02488 .31932 L
.02495 .31857 L
.02502 .31785 L
.02509 .31715 L
.02516 .31642 L
.02523 .3157 L
.02531 .31502 L
.02539 .31429 L
.02546 .31359 L
.02555 .31285 L
.02563 .31213 L
.02572 .31144 L
.02581 .31071 L
.02589 .31 L
.02599 .30925 L
.02609 .30853 L
.02618 .30784 L
.02628 .3071 L
.02637 .30642 L
s
.02637 .30642 m
.02647 .30573 L
.02658 .30497 L
.02669 .30426 L
.02679 .30358 L
.0269 .30285 L
.02701 .30215 L
.02713 .3014 L
.02724 .30069 L
.02735 .3 L
.02747 .29927 L
.02759 .29856 L
.02771 .29788 L
.02784 .29716 L
.02796 .29647 L
.02809 .29573 L
.02822 .29502 L
.02835 .29434 L
.02848 .29361 L
.02862 .29291 L
.02876 .29217 L
.0289 .29146 L
.02904 .29077 L
.02918 .29004 L
.02932 .28937 L
s
.02932 .28937 m
.02946 .28868 L
.02962 .28793 L
.02977 .28723 L
.02991 .28656 L
.03007 .28584 L
.03022 .28514 L
.03039 .28441 L
.03055 .2837 L
.0307 .28302 L
.03087 .2823 L
.03103 .2816 L
.03119 .28093 L
.03136 .28022 L
.03153 .27953 L
.0317 .27881 L
.03188 .27811 L
.03205 .27743 L
.03223 .27672 L
.0324 .27603 L
.03259 .2753 L
.03278 .27459 L
.03295 .27391 L
.03315 .27319 L
.03332 .27254 L
s
.03332 .27254 m
.03351 .27186 L
.03371 .27112 L
.0339 .27043 L
.03409 .26976 L
.03429 .26905 L
.03448 .26837 L
.03469 .26765 L
.03489 .26695 L
.03509 .26628 L
.0353 .26557 L
.03551 .26488 L
.0357 .26422 L
.03592 .26352 L
.03612 .26285 L
.03635 .26213 L
.03656 .26145 L
.03677 .26078 L
.03699 .26008 L
.03721 .2594 L
.03744 .25868 L
.03767 .25799 L
.03789 .25733 L
.03812 .25662 L
.03834 .25597 L
s
.03834 .25597 m
.03856 .25531 L
.03881 .25458 L
.03904 .2539 L
.03927 .25325 L
.03951 .25255 L
.03974 .25188 L
.03999 .25117 L
.04024 .25049 L
.04047 .24983 L
.04073 .24914 L
.04097 .24846 L
.04121 .24782 L
.04146 .24713 L
.04171 .24647 L
.04197 .24577 L
.04223 .24509 L
.04247 .24445 L
.04274 .24376 L
.043 .24309 L
.04327 .24239 L
.04354 .24171 L
.04379 .24106 L
.04407 .24037 L
.04432 .23973 L
s
.04432 .23973 m
.04458 .23908 L
.04487 .23837 L
.04514 .23771 L
.04541 .23707 L
.04569 .23639 L
.04596 .23573 L
.04625 .23504 L
.04654 .23437 L
.04681 .23373 L
.0471 .23305 L
.04738 .23239 L
.04766 .23176 L
.04795 .23109 L
.04823 .23044 L
.04854 .22976 L
.04883 .2291 L
.04911 .22846 L
.04942 .22779 L
.04971 .22714 L
.05003 .22646 L
.05033 .22579 L
.05062 .22516 L
.05094 .22448 L
.05123 .22387 L
s
.05123 .22387 m
.05153 .22323 L
.05185 .22254 L
.05216 .22189 L
.05246 .22127 L
.05278 .2206 L
.05309 .21996 L
.05342 .21929 L
.05374 .21864 L
.05405 .21801 L
.05438 .21734 L
.0547 .21671 L
.05501 .21609 L
.05534 .21544 L
.05566 .21481 L
.056 .21414 L
.05633 .2135 L
.05665 .21288 L
.05699 .21223 L
.05732 .2116 L
.05767 .21093 L
.05801 .21028 L
.05834 .20967 L
.05869 .20901 L
.05901 .20841 L
s
.05901 .20841 m
.05934 .20779 L
.05971 .20712 L
.06005 .20649 L
.06039 .20588 L
.06074 .20524 L
.06109 .20462 L
.06145 .20396 L
.06181 .20333 L
.06215 .20272 L
.06252 .20207 L
.06287 .20145 L
.06321 .20085 L
.06358 .20022 L
.06393 .19961 L
.06431 .19896 L
.06467 .19834 L
.06502 .19774 L
.0654 .1971 L
.06576 .19649 L
.06615 .19584 L
.06652 .19522 L
.06689 .19462 L
.06727 .19398 L
.06763 .1934 L
s
.06763 .1934 m
.06799 .1928 L
.06839 .19215 L
.06877 .19154 L
.06914 .19095 L
.06953 .19033 L
.0699 .18973 L
.07031 .18909 L
.07069 .18848 L
.07107 .18789 L
.07147 .18726 L
.07186 .18666 L
.07223 .18608 L
.07263 .18547 L
.07301 .18488 L
.07342 .18425 L
.07382 .18365 L
.0742 .18307 L
.07461 .18245 L
.07501 .18186 L
.07543 .18124 L
.07584 .18063 L
.07623 .18005 L
.07665 .17944 L
.07703 .17887 L
s
.07703 .17887 m
.07743 .17829 L
.07786 .17766 L
.07827 .17707 L
.07867 .17651 L
.07909 .1759 L
.0795 .17532 L
.07993 .17471 L
.08035 .17412 L
.08076 .17355 L
.08119 .17294 L
.08161 .17236 L
.08201 .17181 L
.08244 .17121 L
.08286 .17064 L
.0833 .17004 L
.08373 .16946 L
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.08458 .16831 L
.08501 .16774 L
.08546 .16713 L
.0859 .16655 L
.08632 .16599 L
.08677 .1654 L
.08718 .16486 L
s
.08718 .16486 m
.08761 .1643 L
.08808 .16369 L
.08852 .16312 L
.08894 .16258 L
.08939 .162 L
.08983 .16144 L
.0903 .16085 L
.09075 .16028 L
.09118 .15973 L
.09164 .15915 L
.09209 .15859 L
.09252 .15806 L
.09298 .15749 L
.09342 .15694 L
.0939 .15636 L
.09435 .1558 L
.09479 .15526 L
.09526 .15469 L
.09572 .15414 L
.0962 .15356 L
.09667 .153 L
.09712 .15247 L
.0976 .1519 L
.09804 .15138 L
s
.09804 .15138 m
.09849 .15084 L
.09899 .15026 L
.09946 .14971 L
.09991 .14919 L
.10039 .14863 L
.10085 .1481 L
.10135 .14753 L
.10183 .14698 L
.10229 .14646 L
.10278 .1459 L
.10325 .14537 L
.10371 .14485 L
.1042 .14431 L
.10467 .14378 L
.10517 .14323 L
.10565 .14269 L
.10612 .14218 L
.10662 .14163 L
.1071 .14111 L
.10761 .14055 L
.1081 .14002 L
.10858 .1395 L
.10909 .13896 L
.10955 .13846 L
s
.10955 .13846 m
.11003 .13795 L
.11056 .13739 L
.11105 .13687 L
.11153 .13637 L
.11204 .13583 L
.11253 .13532 L
.11305 .13478 L
.11355 .13426 L
.11404 .13375 L
.11456 .13322 L
.11506 .13271 L
.11554 .13222 L
.11605 .1317 L
.11655 .1312 L
.11708 .13067 L
.11759 .13016 L
.11808 .12967 L
.1186 .12914 L
.11911 .12864 L
.11964 .12811 L
.12016 .1276 L
.12066 .12711 L
.1212 .12659 L
.12169 .12612 L
s
.12169 .12612 m
.12219 .12563 L
.12274 .1251 L
.12326 .1246 L
.12376 .12412 L
.1243 .12362 L
.12481 .12313 L
.12536 .12261 L
.12589 .12211 L
.1264 .12164 L
.12694 .12113 L
.12746 .12064 L
.12797 .12018 L
.12851 .11968 L
.12902 .1192 L
.12958 .1187 L
.13011 .11821 L
.13062 .11775 L
.13117 .11725 L
.1317 .11677 L
.13226 .11627 L
.13281 .11579 L
.13333 .11532 L
.13389 .11483 L
.1344 .11437 L
s
.1344 .11437 m
.13493 .11391 L
.1355 .11341 L
.13604 .11293 L
.13657 .11248 L
.13712 .112 L
.13766 .11154 L
.13823 .11105 L
.13878 .11057 L
.13931 .11012 L
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.14043 .10918 L
.14095 .10874 L
.14151 .10827 L
.14206 .10781 L
.14263 .10734 L
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.14372 .10643 L
.14429 .10596 L
.14484 .10551 L
.14543 .10504 L
.14599 .10458 L
.14654 .10414 L
.14712 .10367 L
.14765 .10324 L
s
.14765 .10324 m
.1482 .1028 L
.1488 .10233 L
.14936 .10188 L
.1499 .10145 L
.15048 .101 L
.15104 .10056 L
.15163 .1001 L
.15221 .09965 L
.15276 .09922 L
.15335 .09877 L
.15391 .09833 L
.15446 .09792 L
.15504 .09747 L
.1556 .09704 L
.1562 .09659 L
.15678 .09616 L
.15733 .09574 L
.15792 .0953 L
.15849 .09487 L
.1591 .09442 L
.15969 .09399 L
.16025 .09358 L
.16085 .09314 L
.1614 .09273 L
s
.1614 .09273 m
.16197 .09232 L
.16259 .09187 L
.16317 .09145 L
.16373 .09105 L
.16433 .09062 L
.16491 .09021 L
.16552 .08977 L
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.16669 .08895 L
.1673 .08853 L
.16788 .08812 L
.16845 .08772 L
.16905 .08731 L
.16963 .08691 L
.17025 .08648 L
.17084 .08607 L
.17141 .08568 L
.17203 .08527 L
.17261 .08487 L
.17324 .08445 L
.17385 .08404 L
.17443 .08365 L
.17505 .08324 L
.17562 .08286 L
s
.17562 .08286 m
.1762 .08247 L
.17684 .08205 L
.17744 .08166 L
.17802 .08128 L
.17864 .08088 L
.17923 .0805 L
.17987 .08009 L
.18048 .07969 L
.18107 .07932 L
.18169 .07892 L
.1823 .07854 L
.18288 .07817 L
.1835 .07778 L
.18409 .07741 L
.18473 .07701 L
.18534 .07663 L
.18593 .07626 L
.18656 .07587 L
.18717 .0755 L
.18781 .07511 L
.18843 .07473 L
.18903 .07437 L
.18967 .07398 L
.19026 .07363 L
s
.19026 .07363 m
.19086 .07327 L
.19152 .07288 L
.19213 .07251 L
.19273 .07216 L
.19336 .07178 L
.19397 .07143 L
.19462 .07105 L
.19525 .07068 L
.19586 .07033 L
.1965 .06996 L
.19712 .0696 L
.19772 .06926 L
.19835 .0689 L
.19897 .06855 L
.19962 .06818 L
.20025 .06783 L
.20085 .06749 L
.2015 .06713 L
.20212 .06679 L
.20278 .06642 L
.20342 .06607 L
.20403 .06573 L
.20469 .06537 L
.20528 .06505 L
s
.20528 .06505 m
.2059 .06471 L
.20658 .06435 L
.20721 .06401 L
.20782 .06369 L
.20847 .06334 L
.2091 .06301 L
.20976 .06266 L
.2104 .06232 L
.21102 .062 L
.21168 .06165 L
.21232 .06132 L
.21293 .06101 L
.21358 .06067 L
.21421 .06035 L
.21487 .06001 L
.21552 .05969 L
.21614 .05937 L
.2168 .05904 L
.21743 .05872 L
.21811 .05838 L
.21876 .05806 L
.21939 .05775 L
.22006 .05742 L
.22067 .05712 L
s
.22067 .05712 m
.2213 .05681 L
.22199 .05648 L
.22264 .05617 L
.22326 .05587 L
.22392 .05555 L
.22456 .05524 L
.22524 .05492 L
.2259 .05461 L
.22653 .05432 L
.2272 .054 L
.22785 .0537 L
.22848 .05341 L
.22914 .0531 L
.22978 .05281 L
.23046 .0525 L
.23112 .0522 L
.23175 .05191 L
.23243 .05161 L
.23307 .05132 L
.23376 .05101 L
.23443 .05071 L
.23507 .05043 L
.23575 .05013 L
.23638 .04985 L
s
.23638 .04985 m
.23702 .04957 L
.23772 .04927 L
.23838 .04898 L
.23902 .04871 L
.23969 .04842 L
.24035 .04814 L
.24104 .04785 L
.24171 .04756 L
.24235 .04729 L
.24304 .04701 L
.2437 .04673 L
.24433 .04647 L
.24501 .04619 L
.24566 .04592 L
.24635 .04564 L
.24702 .04537 L
.24767 .04511 L
.24835 .04483 L
.24901 .04457 L
.24971 .04429 L
.25039 .04402 L
.25104 .04376 L
.25174 .04349 L
.25237 .04324 L
s
.25237 .04324 m
.25303 .04299 L
.25374 .04271 L
.25441 .04246 L
.25506 .04221 L
.25575 .04195 L
.25641 .0417 L
.25711 .04143 L
.25779 .04118 L
.25845 .04093 L
.25914 .04067 L
.25981 .04043 L
.26046 .04019 L
.26115 .03994 L
.26181 .0397 L
.26251 .03944 L
.26319 .0392 L
.26385 .03897 L
.26454 .03872 L
.26521 .03848 L
.26593 .03823 L
.26661 .03799 L
.26728 .03776 L
.26798 .03752 L
.26862 .0373 L
s
.26862 .0373 m
.26929 .03707 L
.27001 .03682 L
.27069 .03659 L
.27135 .03637 L
.27205 .03614 L
.27272 .03591 L
.27344 .03568 L
.27412 .03545 L
.27479 .03523 L
.27549 .035 L
.27617 .03478 L
.27683 .03457 L
.27753 .03435 L
.2782 .03414 L
.27891 .03391 L
.2796 .03369 L
.28026 .03349 L
.28097 .03327 L
.28165 .03306 L
.28237 .03283 L
.28307 .03262 L
.28374 .03242 L
.28445 .0322 L
.2851 .03201 L
s
.2851 .03201 m
.28578 .03181 L
.28651 .03159 L
.2872 .03139 L
.28786 .03119 L
.28857 .03099 L
.28925 .03079 L
.28998 .03058 L
.29067 .03038 L
.29134 .03019 L
.29206 .02999 L
.29275 .0298 L
.29341 .02961 L
.29412 .02942 L
.2948 .02923 L
.29552 .02903 L
.29621 .02884 L
.29688 .02866 L
.2976 .02847 L
.29829 .02829 L
.29902 .0281 L
.29972 .02791 L
.3004 .02774 L
.30112 .02755 L
.30178 .02738 L
s
.30178 .02738 m
.30246 .0272 L
.3032 .02702 L
.3039 .02684 L
.30457 .02667 L
.30528 .02649 L
.30597 .02632 L
.3067 .02614 L
.30741 .02597 L
.30809 .02581 L
.30881 .02564 L
.30951 .02547 L
.31017 .02531 L
.31089 .02514 L
.31157 .02498 L
.3123 .02481 L
.31301 .02465 L
.31368 .0245 L
.3144 .02434 L
.3151 .02418 L
.31583 .02402 L
.31655 .02386 L
.31723 .02371 L
.31796 .02355 L
.31862 .0234 L
s
.31862 .0234 m
.31931 .02326 L
.32006 .0231 L
.32076 .02295 L
.32144 .02281 L
.32216 .02266 L
.32285 .02251 L
.32359 .02236 L
.3243 .02222 L
.32499 .02208 L
.32572 .02194 L
.32642 .0218 L
.32709 .02166 L
.32781 .02152 L
.3285 .02139 L
.32924 .02125 L
.32995 .02112 L
.33063 .02099 L
.33136 .02085 L
.33206 .02072 L
.3328 .02059 L
.33352 .02046 L
.3342 .02033 L
.33494 .0202 L
.33561 .02008 L
s
.33561 .02008 m
.3363 .01996 L
.33706 .01983 L
.33776 .01971 L
.33845 .01959 L
.33917 .01947 L
.33987 .01935 L
.34061 .01923 L
.34133 .01911 L
.34202 .019 L
.34275 .01889 L
.34346 .01877 L
.34414 .01867 L
.34486 .01855 L
.34556 .01845 L
.3463 .01833 L
.34701 .01823 L
.3477 .01812 L
.34843 .01802 L
.34913 .01791 L
.34988 .01781 L
.3506 .0177 L
.3513 .01761 L
.35203 .0175 L
.35271 .01741 L
s
.35271 .01741 m
.3534 .01731 L
.35416 .01721 L
.35488 .01712 L
.35556 .01703 L
.35629 .01693 L
.35699 .01684 L
.35774 .01675 L
.35846 .01666 L
.35915 .01657 L
.35989 .01648 L
.3606 .0164 L
.36128 .01632 L
.36201 .01623 L
.36271 .01615 L
.36346 .01606 L
.36417 .01598 L
.36486 .01591 L
.3656 .01583 L
.3663 .01575 L
.36706 .01567 L
.36778 .01559 L
.36848 .01552 L
.36922 .01545 L
.3699 .01538 L
s
.3699 .01538 m
.37059 .01531 L
.37136 .01524 L
.37207 .01517 L
.37276 .0151 L
.37349 .01504 L
.3742 .01497 L
.37495 .0149 L
.37567 .01484 L
.37637 .01478 L
.37711 .01472 L
.37782 .01466 L
.37851 .0146 L
.37924 .01454 L
.37994 .01449 L
.38069 .01443 L
.38141 .01438 L
.3821 .01433 L
.38283 .01427 L
.38354 .01422 L
.3843 .01417 L
.38502 .01412 L
.38572 .01408 L
.38647 .01403 L
.38715 .01398 L
s
.38715 .01398 m
.38785 .01394 L
.38861 .0139 L
.38933 .01385 L
.39002 .01381 L
.39076 .01377 L
.39146 .01373 L
.39222 .0137 L
.39294 .01366 L
.39364 .01362 L
.39438 .01359 L
.39509 .01355 L
.39578 .01352 L
.39651 .01349 L
.39722 .01346 L
.39796 .01343 L
.39869 .0134 L
.39938 .01338 L
.40012 .01335 L
.40083 .01333 L
.40158 .0133 L
.40231 .01328 L
.40301 .01326 L
.40376 .01324 L
.40444 .01322 L
s
.40444 .01322 m
.40514 .0132 L
.4059 .01318 L
.40662 .01317 L
.40732 .01315 L
.40805 .01314 L
.40876 .01313 L
.40951 .01311 L
.41024 .0131 L
.41094 .01309 L
.41168 .01309 L
.41239 .01308 L
.41308 .01307 L
.41381 .01307 L
.41452 .01306 L
.41488 .01306 L
.41527 .01306 L
.41565 .01306 L
.41599 .01306 L
.41616 .01306 L
.41635 .01306 L
.41645 .01306 L
.41654 .01306 L
.41663 .01306 L
.41673 .01306 L
.41678 .01306 L
.41682 .01306 L
.41686 .01306 L
.4169 .01306 L
.41694 .01306 L
.41696 .01306 L
.41698 .01306 L
.41701 .01306 L
.41703 .01306 L
.41705 .01306 L
.41707 .01306 L
.41709 .01306 L
.41712 .01306 L
.41714 .01306 L
.41716 .01306 L
.41721 .01306 L
.41725 .01306 L
.41735 .01306 L
.41745 .01306 L
.41762 .01306 L
.41781 .01306 L
.418 .01306 L
.41819 .01306 L
.41856 .01306 L
.41889 .01306 L
Mistroke
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.42031 .01307 L
.42105 .01307 L
.42174 .01308 L
Mfstroke
.42174 .01308 m
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.42321 .01309 L
.42393 .0131 L
.42462 .01311 L
.42536 .01313 L
.42607 .01314 L
.42682 .01315 L
.42755 .01317 L
.42824 .01318 L
.42899 .0132 L
.4297 .01322 L
.43039 .01324 L
.43112 .01326 L
.43182 .01328 L
.43257 .0133 L
.43329 .01333 L
.43399 .01335 L
.43473 .01338 L
.43544 .0134 L
.43619 .01343 L
.43692 .01346 L
.43762 .01349 L
.43836 .01352 L
.43904 .01355 L
s
.43904 .01355 m
.43975 .01358 L
.44051 .01362 L
.44123 .01365 L
.44192 .01369 L
.44266 .01373 L
.44336 .01376 L
.44411 .0138 L
.44484 .01385 L
.44554 .01389 L
.44628 .01393 L
.44699 .01397 L
.44768 .01401 L
.44841 .01406 L
.44911 .01411 L
.44986 .01416 L
.45058 .0142 L
.45127 .01425 L
.45201 .0143 L
.45272 .01436 L
.45347 .01441 L
.4542 .01447 L
.4549 .01452 L
.45564 .01458 L
.45632 .01463 L
s
.45632 .01463 m
.45702 .01469 L
.45778 .01475 L
.4585 .01481 L
.45919 .01487 L
.45992 .01493 L
.46063 .01499 L
.46138 .01506 L
.4621 .01513 L
.46279 .01519 L
.46353 .01526 L
.46425 .01533 L
.46493 .01539 L
.46566 .01546 L
.46636 .01553 L
.46711 .01561 L
.46782 .01568 L
.46851 .01576 L
.46925 .01583 L
.46996 .01591 L
.47071 .01599 L
.47143 .01607 L
.47213 .01615 L
.47287 .01623 L
.47354 .01631 L
s
.47354 .01631 m
.47424 .01639 L
.475 .01648 L
.47572 .01656 L
.4764 .01664 L
.47713 .01673 L
.47784 .01682 L
.47858 .01691 L
.4793 .017 L
.48 .01709 L
.48073 .01718 L
.48144 .01728 L
.48212 .01737 L
.48285 .01746 L
.48355 .01756 L
.48429 .01766 L
.48501 .01775 L
.48569 .01785 L
.48643 .01795 L
.48713 .01805 L
.48788 .01816 L
.4886 .01826 L
.48929 .01836 L
.49003 .01847 L
.4907 .01857 L
s
.4907 .01857 m
.4914 .01868 L
.49215 .01879 L
.49286 .0189 L
.49355 .019 L
.49428 .01912 L
.49498 .01923 L
.49572 .01935 L
.49644 .01946 L
.49713 .01957 L
.49786 .01969 L
.49856 .01981 L
.49924 .01992 L
.49996 .02004 L
.50066 .02016 L
.5014 .02028 L
.50211 .02041 L
.50279 .02052 L
.50352 .02065 L
.50422 .02077 L
.50497 .02091 L
.50568 .02103 L
.50637 .02116 L
.5071 .02129 L
.50777 .02141 L
s
.50777 .02141 m
.50847 .02154 L
.50922 .02168 L
.50992 .02181 L
.5106 .02194 L
.51133 .02208 L
.51202 .02221 L
.51276 .02236 L
.51348 .0225 L
.51416 .02263 L
.51489 .02277 L
.51559 .02291 L
.51626 .02305 L
.51698 .02319 L
.51767 .02333 L
.51841 .02348 L
.51911 .02363 L
.51979 .02377 L
.52052 .02392 L
.52121 .02407 L
.52195 .02423 L
.52266 .02438 L
.52335 .02452 L
.52408 .02468 L
.52474 .02483 L
s
.52474 .02483 m
.52543 .02498 L
.52618 .02514 L
.52688 .0253 L
.52755 .02545 L
.52827 .02561 L
.52896 .02577 L
.5297 .02593 L
.5304 .0261 L
.53108 .02625 L
.53181 .02642 L
.5325 .02658 L
.53317 .02674 L
.53389 .02691 L
.53457 .02707 L
.5353 .02725 L
.536 .02742 L
.53668 .02758 L
.53739 .02775 L
.53808 .02792 L
.53882 .0281 L
.53953 .02828 L
.54021 .02845 L
.54093 .02863 L
.54159 .0288 L
s
.54159 .0288 m
.54227 .02897 L
.54301 .02916 L
.54371 .02934 L
.54438 .02951 L
.54509 .0297 L
.54578 .02987 L
.5465 .03007 L
.54721 .03025 L
.54788 .03043 L
.5486 .03062 L
.54929 .03081 L
.54995 .03099 L
.55066 .03118 L
.55134 .03136 L
.55206 .03156 L
.55276 .03175 L
.55343 .03194 L
.55414 .03214 L
.55482 .03233 L
.55555 .03253 L
.55625 .03273 L
.55692 .03292 L
.55764 .03313 L
.5583 .03331 L
s
.5583 .03331 m
.55897 .03351 L
.55971 .03372 L
.5604 .03392 L
.56106 .03412 L
.56177 .03433 L
.56245 .03453 L
.56317 .03474 L
.56386 .03495 L
.56453 .03515 L
.56524 .03536 L
.56593 .03557 L
.56658 .03577 L
.56728 .03599 L
.56796 .03619 L
.56867 .03641 L
.56936 .03663 L
.57003 .03684 L
.57073 .03706 L
.57141 .03727 L
.57213 .0375 L
.57282 .03772 L
.57349 .03793 L
.5742 .03816 L
.57485 .03837 L
s
.57485 .03837 m
.57552 .03858 L
.57624 .03882 L
.57693 .03904 L
.57759 .03926 L
.57828 .03949 L
.57896 .03971 L
.57967 .03995 L
.58036 .04018 L
.58102 .0404 L
.58173 .04064 L
.5824 .04087 L
.58305 .04109 L
.58375 .04133 L
.58441 .04155 L
.58512 .0418 L
.5858 .04203 L
.58646 .04226 L
.58716 .04251 L
.58783 .04274 L
.58854 .04299 L
.58923 .04323 L
.58989 .04347 L
.59059 .04372 L
.59123 .04395 L
s
.59123 .04395 m
.59189 .04418 L
.59261 .04444 L
.59329 .04469 L
.59394 .04493 L
.59463 .04518 L
.5953 .04542 L
.596 .04568 L
.59668 .04593 L
.59734 .04618 L
.59803 .04644 L
.5987 .04669 L
.59935 .04693 L
.60003 .04719 L
.60069 .04743 L
.60139 .0477 L
.60207 .04796 L
.60272 .04821 L
.6034 .04847 L
.60407 .04873 L
.60477 .049 L
.60545 .04926 L
.6061 .04952 L
.6068 .04979 L
.60743 .05004 L
s
.60743 .05004 m
.60808 .0503 L
.6088 .05058 L
.60946 .05085 L
.61011 .0511 L
.61079 .05138 L
.61145 .05164 L
.61215 .05192 L
.61282 .0522 L
.61346 .05246 L
.61415 .05274 L
.61481 .05301 L
.61545 .05327 L
.61613 .05355 L
.61678 .05382 L
.61747 .05411 L
.61814 .05439 L
.61878 .05466 L
.61946 .05494 L
.62011 .05522 L
.62081 .05551 L
.62148 .0558 L
.62212 .05607 L
.62281 .05637 L
.62343 .05664 L
s
.62343 .05664 m
.62408 .05691 L
.62478 .05722 L
.62544 .05751 L
.62607 .05778 L
.62675 .05808 L
.6274 .05836 L
.62809 .05866 L
.62875 .05896 L
.62939 .05924 L
.63007 .05954 L
.63072 .05983 L
.63135 .06012 L
.63202 .06042 L
.63266 .06071 L
.63334 .06102 L
.634 .06131 L
.63463 .0616 L
.6353 .06191 L
.63595 .06221 L
.63663 .06252 L
.63729 .06283 L
.63793 .06312 L
.63861 .06344 L
.63922 .06372 L
s
.63922 .06372 m
.63986 .06402 L
.64055 .06435 L
.6412 .06465 L
.64183 .06495 L
.64249 .06526 L
.64313 .06557 L
.64381 .06589 L
.64447 .06621 L
.6451 .06651 L
.64576 .06683 L
.64641 .06714 L
.64703 .06744 L
.64769 .06776 L
.64832 .06807 L
.64899 .0684 L
.64964 .06872 L
.65026 .06903 L
.65092 .06936 L
.65156 .06967 L
.65224 .07001 L
.65289 .07033 L
.65351 .07065 L
.65418 .07098 L
.65479 .07129 L
s
.65479 .07129 m
.65542 .07161 L
.6561 .07195 L
.65674 .07228 L
.65735 .07259 L
.65801 .07293 L
.65864 .07325 L
.65931 .0736 L
.65995 .07393 L
.66057 .07425 L
.66123 .0746 L
.66187 .07493 L
.66248 .07525 L
.66312 .07559 L
.66375 .07591 L
.66441 .07626 L
.66505 .0766 L
.66566 .07693 L
.66631 .07727 L
.66694 .07761 L
.66761 .07797 L
.66825 .07831 L
.66886 .07864 L
.66952 .079 L
.67012 .07932 L
s
.67012 .07932 m
.67074 .07966 L
.67141 .08003 L
.67204 .08037 L
.67264 .0807 L
.67329 .08106 L
.67391 .0814 L
.67457 .08177 L
.6752 .08212 L
.67581 .08246 L
.67646 .08282 L
.67708 .08317 L
.67768 .08351 L
.67832 .08387 L
.67894 .08421 L
.67959 .08458 L
.68021 .08494 L
.68082 .08528 L
.68146 .08565 L
.68208 .086 L
.68273 .08638 L
.68336 .08675 L
.68397 .0871 L
.68461 .08747 L
.6852 .08781 L
s
.6852 .08781 m
.68581 .08817 L
.68647 .08855 L
.68709 .08892 L
.68768 .08927 L
.68832 .08964 L
.68893 .09 L
.68958 .09039 L
.6902 .09076 L
.6908 .09112 L
.69144 .0915 L
.69205 .09187 L
.69264 .09222 L
.69327 .0926 L
.69387 .09296 L
.69451 .09335 L
.69513 .09373 L
.69572 .09409 L
.69635 .09447 L
.69695 .09485 L
.6976 .09524 L
.69822 .09562 L
.69881 .09599 L
.69945 .09639 L
.70003 .09674 L
s
.70003 .09674 m
.70062 .09712 L
.70127 .09752 L
.70188 .0979 L
.70247 .09827 L
.70309 .09867 L
.70369 .09904 L
.70432 .09945 L
.70494 .09984 L
.70552 .10021 L
.70615 .10061 L
.70675 .101 L
.70733 .10137 L
.70795 .10177 L
.70854 .10215 L
.70917 .10256 L
.70977 .10295 L
.71035 .10333 L
.71097 .10373 L
.71157 .10412 L
.7122 .10453 L
.71281 .10493 L
.71339 .10532 L
.71401 .10573 L
.71458 .10611 L
s
.71458 .10611 m
.71517 .1065 L
.7158 .10692 L
.7164 .10732 L
.71698 .10771 L
.71759 .10812 L
.71817 .10851 L
.7188 .10893 L
.7194 .10934 L
.71998 .10973 L
.72059 .11015 L
.72118 .11056 L
.72175 .11094 L
.72235 .11136 L
.72293 .11176 L
.72355 .11218 L
.72414 .11259 L
.72471 .11299 L
.72532 .11341 L
.7259 .11382 L
.72652 .11425 L
.72712 .11467 L
.72769 .11507 L
.7283 .1155 L
.72886 .11589 L
s
.72886 .11589 m
.72943 .1163 L
.73006 .11674 L
.73064 .11716 L
.73121 .11756 L
.7318 .11799 L
.73238 .1184 L
.73299 .11884 L
.73358 .11926 L
.73415 .11967 L
.73475 .12011 L
.73533 .12053 L
.73588 .12093 L
.73648 .12136 L
.73704 .12178 L
.73765 .12222 L
.73823 .12265 L
.73879 .12306 L
.73938 .1235 L
.73995 .12392 L
.74056 .12437 L
.74115 .12481 L
.74171 .12523 L
.7423 .12567 L
.74285 .12608 L
s
.74285 .12608 m
.74341 .1265 L
.74402 .12696 L
.7446 .1274 L
.74515 .12781 L
.74573 .12826 L
.7463 .12869 L
.7469 .12914 L
.74747 .12959 L
.74803 .13001 L
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\>"],
  ImageRangeCache->{{{0, 287}, {156.875, 0}} -> {-12.916, -24.8398, 0.188314, 
  0.188314}}]
}, Open  ]],

Cell[BoxData[
    TagBox[\(\[SkeletonIndicator]  Graphics  \[SkeletonIndicator]\),
      False,
      Editable->False]], "Output"]
}, Open  ]],

Cell[BoxData[
    \("\<Preostali interpolaciji, torej interpolacijo s kubicnim zlepkom pri \
robnem pogoju: odvod v prvi tocki je 1, v zadnji pa 0 in interpolacijo z \
B-zlepkom, naredimo po istem kopitu: generiramo veliko matriko in priredimo \
sprogramirane postopke iz 6 tock na 101 tock! - Tukaj tega nisem udejanil, \
saj je ze zgornji pristop casovno prekompleksen - upam, da bo sploh prisel do \
konca(??? ;-)))    )!!!\n
	\n
	Uf, izracunal je - no, po priblizno 20 minutah! ;-))\>"\)], "Input"],

Cell[CellGroupData[{

Cell[BoxData[{
    \("\<Aproksimacija z Bezierjevimi krivuljami z uporabo de Casteljaujevega
algoritma!\>"\n\t\), 
    \(tocke1\ 
       = {{0, \ 0}, \ {1, \ 2}, \ {3, \ 3}, \ {4, \ 3}, \ {6, \ 1}, 
        \ {8, \ 0}}\n\), 
    \(\(\(RekurzivenKlic[i_]\)[r_]\)[t_] := 
      If[r == 0, tocke1[\([i]\)], 
        \((1 - t)\)\ \(\(RekurzivenKlic[i]\)[r - 1]\)[t] + 
          t\ \(\(RekurzivenKlic[i + 1]\)[r - 1]\)[t]]\n\), 
    \(\(\(RekurzivenKlic[1]\)[1]\)[1/2]\n\), 
    \(\(\(RekurzivenKlic[1]\)[4]\)[1/3]\n\n
     (*Le\ poveze\ tocke...\  = 
        \(\( > \nKoordinate\) := 
          Flatten[Table[
              \(\(RekurzivenKlic[i]\)[r]\)[t], {r, 0, 1}, {i, 1, 5}], 1]\)*) 
      \n\), 
    \("\<Javlja napake, ker bi za dani izracun potrebovali vec tock!!!\>"\n\t
    \), 
    \(Koordinate := 
      Flatten[Table[\(\(RekurzivenKlic[i]\)[r]\)[t], {r, 0, 6}, {i, 1, 6}], 1]
        \n\), 
    \(Koordinate[\([2]\)]\n\), 
    \("\<Bezirjeva krivulja med vsemi tockami je oznacena z oranzno barvo in \
je najnizja med narisanimi krivuljami!\n
	\n
	Ostale krivulje podajajo Bezirjeve krivulje med posameznimi podmnozicami \
zaporednih tock!\>"\n\t\), 
    \(ParametricPlot[Koordinate // Evaluate, {t, 0, 1}, 
      PlotStyle -> {Hue[0.1], Hue[0.5], Hue[0.2], Hue[0.6], Hue[0.3], 
          Hue[0.9], Hue[0.1], Hue[0.8]}, Compiled -> False, \n
      AspectRatio -> Automatic]\n\), 
    \("\<Spodaj je enak rezultat izracunan s pomocjo vgrajene \
funkcije!\>"\)}], "Input"],

Cell[BoxData[
    \("Aproksimacija z Bezierjevimi krivuljami z uporabo de Casteljaujevega \
algoritma!"\)], "Output"],

Cell[BoxData[
    \({{0, 0}, {1, 2}, {3, 3}, {4, 3}, {6, 1}, {8, 0}}\)], "Output"],

Cell[BoxData[
    \({1\/2, 1}\)], "Output"],

Cell[BoxData[
    \({142\/81, 161\/81}\)], "Output"],

Cell[BoxData[
    \("Javlja napake, ker bi za dani izracun potrebovali vec tock!!!"\)], 
  "Output"],

Cell[BoxData[
    \(Part::"partw" \( : \ \) 
      "Part \!\(7\) of \!\({\({0, 0}\), \({1, 2}\), \({3, 3}\), \({4, 3}\), \
\({6, 1}\), \({8, 0}\)}\) does not exist."\)], "Message"],

Cell[BoxData[
    \(Part::"partw" \( : \ \) 
      "Part \!\(7\) of \!\({\({0, 0}\), \({1, 2}\), \({3, 3}\), \({4, 3}\), \
\({6, 1}\), \({8, 0}\)}\) does not exist."\)], "Message"],

Cell[BoxData[
    \(Part::"partw" \( : \ \) 
      "Part \!\(7\) of \!\({\({0, 0}\), \({1, 2}\), \({3, 3}\), \({4, 3}\), \
\({6, 1}\), \({8, 0}\)}\) does not exist."\)], "Message"],

Cell[BoxData[
    \(General::"stop" \( : \ \) 
      "Further output of \!\(Part :: \"partw\"\) will be