II. grafika - Blog for(IIVIIAGLIVELS) II. grafika sia aris Tanamedrove daprogramebis enebis ZiriTadi

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Transcript of II. grafika - Blog for(IIVIIAGLIVELS) II. grafika sia aris Tanamedrove daprogramebis enebis ZiriTadi

  • II. grafika

    sia aris Tanamedrove daprogramebis enebis ZiriTadi obieqti. Mathematica

    sistemis gamosaxulebebis nebismieri mimdevroba Cawerili figurul frCx-

    ilebSi warmoadgens sias. wvdoma siis elementebTan xorcieldeba ormagi

    kvadratuli frCxilebis gamoyenebiT. Mathematica sistemaSi sul arsebobs

    frCxilebis oTxi tipi:

    (a+b)c,{a,b,c},f[x],m[[i]] an mPiT.

    grafikebis ageba

    grafikis asagebad gamoiyeneba Plot funqcia, romelic Seicavs or

    aucilebel arguments: funqcia f[x], romlis grafiki unda avagoT (an funq-

    ciebis sia), da funqciis gansazRvris are {xmin, xmax}, romelic Seicavs

    formalur cvlads x:

    Plot[f[x], {x, xmin, xmax}]

    Plot@Tan@xD, 8x, -Pi, Pi

  • x = 2;

    Plot@x^2, 8x, -3, 3

  • Plot@Sin@xD, 8x, 0, 2 Pi

  • Options@PlotD

    :AlignmentPoint ® Center, AspectRatio ® 1

    GoldenRatio , Axes ® True,

    AxesLabel ® None, AxesOrigin ® Automatic, AxesStyle ® 8

  • Plot@8x^3, Cos@xD

  • {8.0, 0}

    Plot3D funqcia

    zemod moyvanil yvela magaliTSi iyo ganxiluli mxolod erTi cvladis

    funqciebi da Sesabamisad Cven vRebulobdiT funqciis grafiki sibrtkeze.

    Plot3D funqciis gamoyenebiT SegviZlia avagoT funqciis grafiki sivrceSi:

    Plot3D[f[x,y],{x, xmin, xmax},{y, ymin, ymax}]. ganvixiloT magaliTi.

    Plot3D@Sin@x + y^2D, 8x, -3, 3

  • ListPlot@881, 2

  • ListPlot@Table@Sin@iD, 8i, 1, 9, 0.3

  • ParametricPlot@8 Sin@uD + 7 u , Cos@uD u

  • ParametricPlot3D@8Sin@uD, Cos@uD, u 10

  • Plot@Sin@x + 1D, 8x, -10, 10

  • AnimateAPlotAt Ix2 - 1M, 8x, -2, 2

  • Animate@Plot@Sin@a xD + Sin@b xD, 8x, 0, 10

  • 8opTable@Plus, 3D, opTable@Times, 3D, opTable@Times, 4D, opTable@Divide, 3D<

    : 1 2 3

    1 2 3 4

    2 3 4 5

    3 4 5 6

    ,

    1 2 3

    1 1 2 3

    2 2 4 6

    3 3 6 9

    ,

    1 2 3 4

    1 1 2 3 4

    2 2 4 6 8

    3 3 6 9 12

    4 4 8 12 16

    ,

    1 2 3

    1 1 1

    2

    1

    3

    2 2 1 2

    3

    3 3 3

    2 1

    >

    Manipulate@opTable@o, nD, 8n, 1, 10

  • Û davaleba

    1. aageT F(x)= x^2+Sin[53x] funqciis grafiki {-2,2} Sualedze.

    2. ggamoTvaleT Semdegi gamosaxuleba:

    Plot@Evaluate@S = Input@"Please input a function of x to plot on the unit interval"DD, 8x, -4, 4