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- まな やまがた
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1 8 8 Mathematica y = f(x) Plot Plot[f, {x, xmin, xmax}] f x x xmin ~ xmax In[]:= Plot@Sin@xD, 8x,, Pi<D Out[]= In[]:= Ü Graphics Ü Plot@Tan@xD, 8x,, Pi<D Out[]= Ü Graphics Ü y=tan(x) - Plot Plot[{f, f,...}, {x, xmin, xmax}] f, f,...
2 8 In[3]:= 8x,, Pi<D Out[3]= Ü Graphics Ü y=tan(x) sin(x), cos(x) Plot x, y Plot Plot option->value Plot[f, {x, xmin, xmax}, option->value, option->value,...] Frame->True PlotRange-> {-., } -. In[4]:= Plot@Sin@xD, 8x,, Pi<, Frame -> True, PlotRange -> 8-., <D Out[4]= Ü Graphics Ü Automatic None All True False Plot
3 8 3 AspectRatio ê GoldenRatio ê GoldenRatio.6 Automatic PlotLabel None. PlotRange Automatic 8ymin, ymax< Automatic All Axes Automatic False. AxesLabel None x y 8xlabel, ylabel< AxesOrigin Automatic Ticks Automatic 88x, x,...<, 8y, y,...<< None Frame False True. FrameLabel None FrameTicks Automatic None GridLine None 88x, x,...<, 8y, y,... Automatic PlotStyle Automatic HThicknessL HGrayLevel, RGBColorL 8Thickness@.8D, GrayLevel@.D, Dashing@8.,. PlotPoints Options In[]:= Out[]= Options@PlotD 9AspectRatio Ø ÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅ, Axes Ø Automatic, AxesLabel Ø None, GoldenRatio AxesOrigin Ø Automatic, AxesStyle Ø Automatic, Background Ø Automatic, ColorOutput Ø Automatic, Compiled Ø True, DefaultColor Ø Automatic, DefaultFont ß $DefaultFont, DisplayFunction ß $DisplayFunction, Epilog Ø 8<, FormatType ß $FormatType, Frame Ø False, FrameLabel Ø None, FrameStyle Ø Automatic, FrameTicks Ø Automatic, GridLines Ø None, ImageSize Ø Automatic, MaxBend Ø., PlotDivision Ø 3., PlotLabel Ø None, PlotPoints Ø, PlotRange Ø Automatic, PlotRegion Ø Automatic, PlotStyle Ø Automatic, Prolog Ø 8<, RotateLabel Ø True, TextStyle ß $TextStyle, Ticks Ø Automatic= "sin curve" "x", "sin(x)" a (Thickness) (GrayLevel) (Dashing)
4 8 4 In[6]:= sincurve = Plot@Sin@xD, 8x,, Pi<, AspectRatio -> Automatic, PlotLabel -> "sin curve", PlotRange -> 8-.8, <, Axes -> True, AxesLabel -> 8"x", "sinhxl"<, AxesOrigin -> 8Pi ê 3, <, Ticks -> 88, Pi ê, Pi, 3 Pi ê, Pi<, 8-.,,.,, <<, Frame -> True, FrameTicks -> None, GridLines -> 88,,, 3, 4,, 6<, None<, PlotStyle -> 8Thickness@.D, GrayLevel@.D, Dashing@8.,.3<D<D sinhxl sin curve. p -. p 3 p p x Out[6]= Ü Graphics Ü Plot Show PlotStyle PlotPoints Show[g, option->value, option->value,...] g In[7]:= Show@sinCurve, PlotRange -> 88, 3 Pi ê <, All<, Frame -> False, GridLines -> 88,, 4, 6<, None<D sinhxl sin curve. p -. p x 3 p Out[7]= Ü Graphics Ü PlotRangeØ{{xmin,xmax},{ymin,ymax}} PlotStyle->{{- Thickness[.],...}, {Thickness[.],...},...}
5 8 In[8]:= coscurve = Plot@8Cos@xD, Cos@ xd<, 8x,, Pi<, PlotStyle Ø 88Thickness@.D, GrayLevel@.D, Dashing@8.4,.<D<, 8Thickness@.D, GrayLevel@.8D<<D Out[8]= Ü Graphics Ü Show Show[{g, g,... gk}, option->value,...] g, g,..., gk option,... g In[9]:= Show@8sinCurve, coscurve<, PlotRange -> All, Frame -> False, GridLines -> None, PlotLabel -> None, AxesLabel -> 8"x", None<D. p -. p 3 p p x Out[9]= Ü Graphics Ü g, g,... gk gk y = sinhxl - x ê 4 y = coshxl {d, d,..., dk} List- Plot ListPlot[{d, d,..., dk}, option->value,...] x, y (i, di) In[]:= data = Table@Random@D, 8<D Out[]= , ,.9897,.398,.696,.88483,.487,.4487,.9483,.94699<
6 8 6 In[]:= ListPlot@dataD Out[]= Ü Graphics Ü PlotJoined->True In[]:= ListPlot@data, PlotJoined -> TrueD Out[]= Ü Graphics Ü ListPlot[{{x,y},{x,y},...},optionØvalue,...] (xi,yi) In[3]:= data = Table@8Random@D, Random@D<, 8<D Out[3]= ,.8897<, 8.779,.773<, ,.94974<, ,.988<, 8.88,.836<, 8.78,.4736<, 8.379,.9493<, ,.6897<, 8.498,.87<, 8.437, << In[4]:= ListPlot@dataD Out[4]= Ü Graphics Ü PlotJoined->True
7 8 7 In[]:= ListPlot@data, PlotJoined -> TrueD Out[]= Ü Graphics Ü ListPlot Plot AspectRatio,Axes,AxesLabel,Axes- Origin,Frame,FrameLabel,FrameTicks,GridLines,PlotLabel,PlotRange,Ticks t (x(t), y(t)) x, y ParametricPlot ParametricPlot ParametricPlot[{x, y}, {t, tmin, tmax}] x, y t (x, y) t = tmin~tmax ParametricPlot[{{x, y}, {x, y},...}, {t, tmin, tmax}] (cos(t), sin(t)) t=~p Automatic In[6]:= ParametricPlot@8Cos@tD, Sin@tD<, 8t,, Pi<, AspectRatio -> AutomaticD Out[6]= Ü Graphics Ü
8 8 8 (cos(3t), sin(4t)) t=~p z = f(x,y) Plot3D DensityPlot ContourPlot Plot3D Plot3D[f, {x, xmin, xmax}, {y, ymin, ymax}] f x y z = f(x, y) In[7]:= sinxy = Plot3D@Sin@x yd, 8x, -3, 3<, 8y, -3, 3<D Out[7]= Ü SurfaceGraphics Ü Plot3D Plot3D Mesh True Shading True. PlotRange Automatic All 8zmin, zmax< 88xmin, xmax<, 8ymin, ymax<, 8zmin, zmax<< Axes Automatic False. AxesLabel None 8xlabel, ylabel, zlabel< z Boxed True ColorFunction Automatic FaceGrid None FrameLabel None
9 8 9 HiddenSurface True Lighting True PlotPoints In[8]:= Out[8]= Options@Plot3DD 8AmbientLight Ø GrayLevel@D, AspectRatio Ø Automatic, Axes Ø True, AxesEdge Ø Automatic, AxesLabel Ø None, AxesStyle Ø Automatic, Background Ø Automatic, Boxed Ø True, BoxRatios Ø 8,,.4<, BoxStyle Ø Automatic, ClipFill Ø Automatic, ColorFunction Ø Automatic, ColorFunctionScaling Ø True, ColorOutput Ø Automatic, Compiled Ø True, DefaultColor Ø Automatic, DefaultFont ß $DefaultFont, DisplayFunction ß $DisplayFunction, Epilog Ø 8<, FaceGrids Ø None, FormatType ß $FormatType, HiddenSurface Ø True, ImageSize Ø Automatic, Lighting Ø True, LightSources Ø 888.,.,.<, RGBColor@,, D<, 88.,.,.<, RGBColor@,, D<, 88.,.,.<, RGBColor@,, D<<, Mesh Ø True, MeshStyle Ø Automatic, Plot3Matrix Ø Automatic, PlotLabel Ø None, PlotPoints Ø, PlotRange Ø Automatic, PlotRegion Ø Automatic, Prolog Ø 8<, Shading Ø True, SphericalRegion Ø False, TextStyle ß $TextStyle, Ticks Ø Automatic, ViewCenter Ø Automatic, ViewPoint Ø 8.3, -.4,.<, ViewVertical Ø 8.,.,.<< Show PlotPoints x=~3, y=~3, z=-~/ In[9]:= Show@sinxy, PlotRange -> 88, 3<, 8, 3<, 8-, ê <<D Out[9]= Ü SurfaceGraphics Ü x, y, z
10 8 In[]:= Boxed -> False, AxesLabel -> 8"x", "y", "z"<d z y x - Out[]= Ü SurfaceGraphics Ü In[]:= Show@sinxy, FaceGrids -> All, Mesh -> FalseD Out[]= Ü SurfaceGraphics Ü In[]:= Show@sinxy, Axes -> False, Boxed -> False, HiddenSurface -> FalseD Out[]= Ü SurfaceGraphics Ü
11 8 In[3]:= yd, 8x, -3, 3<, 8y, -3, 3<, PlotPoints ->, Mesh -> False, Axes -> FalseD Out[3]= Ü SurfaceGraphics Ü DensityPlot Plot3D DensityPlot DensityPlot[f, {x, xmin, xmax}, {y, ymin, ymax}], f x, y x = xmin~xmax, y = ymin~ymax In[4]:= DensityPlot@Sin@x yd, 8x, -3, 3<, 8y, -3, 3<D Out[4]= Ü DensityGraphics Ü DensityPlot
12 8 In[]:= Out[]= 8AspectRatio Ø, Axes Ø False, AxesLabel Ø None, AxesOrigin Ø Automatic, AxesStyle Ø Automatic, Background Ø Automatic, ColorFunction Ø Automatic, ColorFunctionScaling Ø True, ColorOutput Ø Automatic, Compiled Ø True, DefaultColor Ø Automatic, DefaultFont ß $DefaultFont, DisplayFunction ß $DisplayFunction, Epilog Ø 8<, FormatType ß $FormatType, Frame Ø True, FrameLabel Ø None, FrameStyle Ø Automatic, FrameTicks Ø Automatic, ImageSize Ø Automatic, Mesh Ø True, MeshStyle Ø Automatic, PlotLabel Ø None, PlotPoints Ø, PlotRange Ø Automatic, PlotRegion Ø Automatic, Prolog Ø 8<, RotateLabel Ø True, TextStyle ß $TextStyle, Ticks Ø Automatic< [ <--> ] ColorFunction ColorFunction ~ GrayLevel x, y x, y 3 In[6]:= DensityPlot@Sin@x yd, 8x, -3, 3<, 8y, -3, 3<, PlotPoints -> 3, Mesh -> False, ColorFunction -> HGrayLevel@ - #D &LD Out[6]= Ü DensityGraphics Ü GrayLevel[] GrayLevel[] ContourPlot CountourPlot ContourPlot[f, {x, xmin, xmax}, {y, ymin, ymax}] f x, y x = xmin~xmax, y = ymin~ymax
13 8 3 In[7]:= ContourPlot@Sin@x yd, 8x, -3, 3<, 8y, -3, 3<D Out[7]= Ü ContourGraphics Ü Plot3D ContourPlot ContourPlot Options[ContourPlot] In[8]:= Out[8]= Options@ContourPlotD 8AspectRatio Ø, Axes Ø False, AxesLabel Ø None, AxesOrigin Ø Automatic, AxesStyle Ø Automatic, Background Ø Automatic, ColorFunction Ø Automatic, ColorFunctionScaling Ø True, ColorOutput Ø Automatic, Compiled Ø True, ContourLines Ø True, Contours Ø, ContourShading Ø True, ContourSmoothing Ø True, ContourStyle Ø Automatic, DefaultColor Ø Automatic, DefaultFont ß $DefaultFont, DisplayFunction ß $DisplayFunction, Epilog Ø 8<, FormatType ß $FormatType, Frame Ø True, FrameLabel Ø None, FrameStyle Ø Automatic, FrameTicks Ø Automatic, ImageSize Ø Automatic, PlotLabel Ø None, PlotPoints Ø, PlotRange Ø Automatic, PlotRegion Ø Automatic, Prolog Ø 8<, RotateLabel Ø True, TextStyle ß $TextStyle, Ticks Ø Automatic< x, y 3 ColorFunction
14 8 4 In[9]:= ContourPlot@Sin@x yd, 8x, -3, 3<, 8y, -3, 3<, PlotPoints -> 3, ColorFunction -> HGrayLevel@# ê + ê D &LD Out[9]= Ü ContourGraphics Ü {{f, f,..., fn}, {f, f,..., fn},..., {fm, fm,..., fmn}} ListPlot3D, ListDensityPlot, ListContour- Plot ListPlot3D ListPlot3D[{{f,..., fn},..., {fm,..., fmn}}] x=i, y=j z=fij µ ListPlot3D In[3]:= data = Table@i j + Mod@i ^ j, 7D, 8i, <, 8j, <D Out[3]= 88,, 3, 4,, 6, 7, 8, 9,,,, 3, 4, <, 8, 44, 6, 8,,, 34, 6, 8, 4, 6, 34, 46, 68, 4<, 833, 6, 69,, 6, 8,, 44, 87, 7, 83, 46, 69, 6, <, 844, 8,, 6, 4, 34, 68,, 46, 8, 64, 8, 9, 76, 7<, 8,, 7, 4,, 4, 8, 8,, 7, 8, 7,,, 3<, 866,, 78, 34, 9, 46,, 8, 4, 7, 6, 8, 38, 94, <, 87, 4,, 8, 3, 4, 49, 6, 63, 7, 77, 84, 9, 98, <, 88, 6, 34, 4,, 8, 66, 74, 8, 9, 98, 6, 4,, 3<, 89, 8, 37, 6, 8, 64, 83,, 9,, 39, 8, 37, 66, 4<, 84, 4, 9, 8,, 7,,,, 4, 6, 3, 6, 6, <, 8, 4, 43, 84, 7, 76, 7, 8, 9,, 4, 4, 83, 74, 7<, 86, 64, 96, 68, 9, 8, 34, 36, 68, 4, 6, 4, 6, 8, 4<, 873, 36, 99, 6,, 88,, 4, 77, 4, 3, 66, 9, 9, <, 84, 8, 4, 6, 7, 84, 98,, 6, 4, 4, 68, 8, 96, <, 8, 4,, 7, 8,,, 3, 4, 6, 7, 9,,, 3<<
15 8 In[3]:= Out[3]= Ü SurfaceGraphics Ü ListPlot3D In[3]:= Out[3]= 8AmbientLight Ø AspectRatio Ø Automatic, Axes Ø True, AxesEdge Ø Automatic, AxesLabel Ø None, AxesStyle Ø Automatic, Background Ø Automatic, Boxed Ø True, BoxRatios Ø 8,,.4<, BoxStyle Ø Automatic, ClipFill Ø Automatic, ColorFunction Ø Automatic, ColorFunctionScaling Ø True, ColorOutput Ø Automatic, DefaultColor Ø Automatic, DefaultFont ß $DefaultFont, DisplayFunction ß $DisplayFunction, Epilog Ø 8<, FaceGrids Ø None, FormatType ß $FormatType, HiddenSurface Ø True, ImageSize Ø Automatic, Lighting Ø True, LightSources Ø 888.,.,.<, D<, 88.,.,.<, D<, 88.,.,.<, D<<, Mesh Ø True, MeshRange Ø Automatic, MeshStyle Ø Automatic, Plot3Matrix Ø Automatic, PlotLabel Ø None, PlotRange Ø Automatic, PlotRegion Ø Automatic, Prolog Ø 8<, Shading Ø True, SphericalRegion Ø False, TextStyle ß $TextStyle, Ticks Ø Automatic, ViewCenter Ø Automatic, ViewPoint Ø 8.3, -.4,.<, ViewVertical Ø 8.,.,.<< ListDensityPlot ListDensityPlot[{{f,..., fn},..., {fm,..., fmn}}] fij ListDensityPlot [ <--> ]
16 8 6 In[33]:= ListDensityPlot@dataD Out[33]= Ü DensityGraphics Ü ListContourPlot ListContourPlot[{{f,..., fn},..., {fm,..., fmn}}] fij In[34]:= ListContourPlot@dataD Out[34]= Ü ContourGraphics Ü ParametricPlot3D
17 8 7 ParametricPlot3D[{x, y, z}, {t, tmin, tmax}] x, y, z t (x, y, z) t = tmin~tmax In[3]:= ParametricPlot3D@8Cos@tD, Sin@tD, t ê 4<, 8t,, 4 Pi<D Out[3]= Ü Graphics3D Ü ParametricPlot3D[{x, y, z}, {t, tmin, tmax}, {u, umin, umax}] x, y, z t, u (x, y, z) t = tmin~tmax, u = umin~umax t H- ÅÅÅ p t ÅÅÅ p L u H u pl HcosHtL coshul, coshtl sinhul, sinhtll In[36]:= sphere = ParametricPlot3D@ 8Cos@tD Cos@uD, Cos@tD Sin@uD, Sin@tD<, 8t, -Pi ê, Pi ê <, 8u,, Pi<D Out[36]= Ü Graphics3D Ü
18 8 8 (torus) R r HcosHtL HR + r coshull, sinhtl HR + r coshull, r sinhull In[37]:= R = ; r = ê ; In[38]:= torus = ParametricPlot3D@8Cos@tD HR + r Cos@uDL, Sin@tD HR + r Cos@uDL, r Sin@uD<, 8t,, Pi<, 8u,, Pi<, Axes -> False, Boxed -> FalseD Out[38]= Ü Graphics3D Ü Show In[39]:= Show@torus, sphere, PlotRange -> 88-3, <, 8-, 3<, 8-, ê <<, ViewPoint -> 8.3, -, <D Out[39]= Ü Graphics3D Ü ] (Cell) (Animate Selected Graphics) In[4]:= Table@Plot3D@Sin@Sqrt@x^ + y ^D - td, 8x, -, <, 8y, -, <, PlotPoints Ø, Mesh Ø FalseD, 8t, Pi ê, Pi, Pi ê <D
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25 Out[4]= 8Ü SurfaceGraphics Ü, Ü SurfaceGraphics Ü, Ü SurfaceGraphics Ü, Ü SurfaceGraphics Ü, Ü SurfaceGraphics Ü, Ü SurfaceGraphics Ü, Ü SurfaceGraphics Ü, Ü SurfaceGraphics Ü, Ü SurfaceGraphics Ü, Ü SurfaceGraphics Ü, Ü SurfaceGraphics Ü, Ü SurfaceGraphics Ü, Ü SurfaceGraphics Ü, Ü SurfaceGraphics Ü, Ü SurfaceGraphics Ü, Ü SurfaceGraphics Ü, Ü SurfaceGraphics Ü, Ü SurfaceGraphics Ü, Ü SurfaceGraphics Ü, Ü SurfaceGraphics Ü< [-] y = sinhxl + x y= ÅÅÅ 6 x - x x [-] y = x 3 - x - 4 x + 3 Plot H, -L ParametricPlot Show
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COM 6 20040920 (Mathematica-1) iijima COM 6 Mathematica (iijima@ae.keio.ac.jp) 1 COM 6 20040920 (Mathematica-1) iijima 1. Mathematica 1.1 1.2 1.3 1.4 2 COM 6 20040920 (Mathematica-1) iijima 1.1 3 COM 6
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1 Mathematica 1 ê 1 3 0.3333333 Mathematica 1 3 1 3 Esc div Esc BasicInput 1.1 Ctrl + / Ctrl + / Ctrl / Mathematica N π 100 N@Pi, 100D 3.141592653589793238462643383279502884197169399 3751058209749445923078164062862089986280348253
Mathematica 利用の手引 東京工業大学学術国際情報センター version 1.12
Mathematica 利用の手引 東京工業大学学術国際情報センター 2016.06 version 1.12 目次 Mathematica 利用の手引き 1 1. はじめに 1 1.1 利用できるバージョン 1 1.2 概要 1 1.3 マニュアル 2 2. TSUBAME での利用方法 2 2.1 Mathematica の起動 2 (1) TSUBAMEにログイン 2 (2) バージョンの切り替え
目次 1. はじめに 利用できるバージョン 概要 用途 マニュアル 2 2. TSUBAME3 での利用方法 Mathematica の実行 TSUBAME3 にログイン バージョンの切り替
Mathematica 利用の手引 第 2 版 東京工業大学学術国際情報センター 2017 年 12 月 13 日 目次 1. はじめに 1 1.1. 利用できるバージョン 1 1.2. 概要 1 1.2.1. 用途 2 1.3. マニュアル 2 2. TSUBAME3 での利用方法 3 2.1. Mathematica の実行 3 2.1.1. TSUBAME3 にログイン 3 2.1.2. バージョンの切り替え
GraphicsWithPlotFull.nb Plot[{( 1), ( ),...}, {( ), ( ), ( )}] Plot Plot Cos x Sin x, x, 5 Π, 5 Π, AxesLabel x, y x 1 Plot AxesLabel
![GraphicsWithPlotFull.nb Plot[{( 1), ( ),...}, {( ), ( ), ( )}] Plot Plot Cos x Sin x, x, 5 Π, 5 Π, AxesLabel x, y x 1 Plot AxesLabel](/thumbs/81/83602176.jpg "GraphicsWithPlotFull.nb Plot[{( 1), ( ),...}, {( ), ( ), ( )}] Plot Plot Cos x Sin x, x, 5 Π, 5 Π, AxesLabel x, y x 1 Plot AxesLabel")
http://yktlab.cis.k.hosei.ac.jp/wiki/ 1(Plot) f x x x 1 1 x x ( )[( 1)_, ( )_, ( 3)_,...]=( ) Plot Plot f x, x, 5, 3 15 10 5 Plot[( ), {( ), ( ), ( )}] D g x x 3 x 3 Plot f x, g x, x, 10, 8 00 100 10 5
OK (S) vncviewer UNIX EDS vncviewer : VNC server: eds.efc.sec.eng.shizuoka.ac.jp:51 OK 2
Mathematica I (2001 5 31, 6 7 ) UNIX EDS vncviewer Internet Exploler http://www.efc.sec.eng.shizuoka.ac.jp/admin/pubsoft/ vncviewer.exe : 1 OK (S) vncviewer UNIX EDS vncviewer : VNC server: eds.efc.sec.eng.shizuoka.ac.jp:51
ハイブリッド微分方程式.nb
Mathematica 2013.3.9 matsuda@symbolics.jp http://urx.nu/3unt y'@td ã 15 ê 4 - Floor@y@tDD + DiracDelta@t - 2D Floor DiracDelta 2 ver.8 Mathematica == à ver.9 In[1]:= sol = NDSolve@8y'@tD ã 15 ê 4 - Floor@y@tDD
ContourPlot[{x^+y^==,(x-)^+y^==}, {x,-,}, {y,-,}, AspectRatio -> Automatic].. ContourPlot Plot AspectRatio->Automatic.. x a + y = ( ). b ContourPlot[x
![ContourPlot[{x^+y^==,(x-)^+y^==}, {x,-,}, {y,-,}, AspectRatio -> Automatic].. ContourPlot Plot AspectRatio->Automatic.. x a + y = ( ). b ContourPlot[x](/thumbs/82/86424759.jpg "ContourPlot[{x^+y^==,(x-)^+y^==}, {x,-,}, {y,-,}, AspectRatio -> Automatic].. ContourPlot Plot AspectRatio->Automatic.. x a + y = ( ). b ContourPlot[x")
3. Mathematica., : f(x) sin x Plot f(x, y) = x + y = ContourPlot f(x, y) > x 4 + (x y ) > RegionPlot (x(t), y(t)) (t sin t, cos t) ParametricPlot r = f(θ) r = sin 4θ PolarPlot.,.. x + y = (x, y). x, y.
としてもよいし,* を省略し, その代わりにスペースを空けてもよい. In[5]:= 2 3 Out[5]= 6 数値計算 厳密な代数計算 整数および有理数については, 厳密な計算がなされます. In[6]:= Out[6]= In[7]:= Out[7]= 2^
![としてもよいし,* を省略し, その代わりにスペースを空けてもよい. In[5]:= 2 3 Out[5]= 6 数値計算 厳密な代数計算 整数および有理数については, 厳密な計算がなされます. In[6]:= Out[6]= In[7]:= Out[7]= 2^](/thumbs/56/38405467.jpg "としてもよいし,* を省略し, その代わりにスペースを空けてもよい. In[5]:= 2 3 Out[5]= 6 数値計算 厳密な代数計算 整数および有理数については, 厳密な計算がなされます. In[6]:= Out[6]= In[7]:= Out[7]= 2^")
Mathematica 入門 はじめに Mathematica は極めて高度かつ有用な機能を有する研究支援統合ソフトウェアです. 理工系学生にとって ( それどころか研究者にとっても ) 非常に便利なツールですから, 基本的な操作方法に慣れておくと, いざというときにとても重宝します. 入力方法 キーボードからの入力 Mathematica では, 数式はすべてキーボードから入力できるようになっています.
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Mathematica 1998 7, 2001 3 Mathematica Mathematica 1 Mathematica 2 2 Mathematica 3 3 4 4 7 5 8 6 10 7 13 8 17 9 18 10 20 11 21 12 23 1 13 23 13.1............................ 24 13.2..........................
ContourPlot[{x^+y^==,(x-)^+y^==}, {x,-,}, {y,-,}, AspectRatio -> Automatic].5. ContourPlot Plot AspectRatio->Automatic.. x a + y = ( ). b ContourPlot[
![ContourPlot[{x^+y^==,(x-)^+y^==}, {x,-,}, {y,-,}, AspectRatio -> Automatic].5. ContourPlot Plot AspectRatio->Automatic.. x a + y = ( ). b ContourPlot[](/thumbs/82/86424576.jpg "ContourPlot[{x^+y^==,(x-)^+y^==}, {x,-,}, {y,-,}, AspectRatio -> Automatic].5. ContourPlot Plot AspectRatio->Automatic.. x a + y = ( ). b ContourPlot[")
5 3. Mathematica., : f(x) sin x Plot f(x, y) = x + y = ContourPlot f(x, y) > x 4 + (x y ) > RegionPlot (x(t), y(t)) (t sin t, cos t) ParametricPlot r = f(θ) r = sin 4θ PolarPlot.,. 5. x + y = (x, y). x,
128 18 2 2012 2 2.1 v8 Mathematica ( ) [ ], { } Expand[(a+b)^2] Plot[Sin[x], {x, 0, 2Pi}] Windows Mathematica Mathematica 2.2 v8 Mathematica = ( ) = s
![128 18 2 2012 2 2.1 v8 Mathematica ( ) [ ], { } Expand[(a+b)^2] Plot[Sin[x], {x, 0, 2Pi}] Windows Mathematica Mathematica 2.2 v8 Mathematica = ( ) = s](/thumbs/39/20117455.jpg "128 18 2 2012 2 2.1 v8 Mathematica ( ) [ ], { } Expand[(a+b)^2] Plot[Sin[x], {x, 0, 2Pi}] Windows Mathematica Mathematica 2.2 v8 Mathematica = ( ) = s")
Bulletin of JSSAC(2012) Vol. 18, No. 2, pp. 127-137 : Mathematica v8 Wolfram Research Asia Limited 1 Mathematica R v8 2010 11 v8 12 v8 2007 v6 Mathematica v6 v7 v8 v6 OpenGL R Direct3D R Mathematica v8
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3 00097 .... 3..3 4..4 5..6 6 0 7 3.4.4 ) ) Lagrange 3) ) 4) 5) 3 r r A B C θ ( α ) r r 3 4 Lagrange B C x = r cosθ () y = r sinθ () x = r cosθ + r cos( θ + θ ) (3) y = r sinθ + r sin( θ + θ ) (4) x =
ParametricPlot [5] In[5]:= Out[5]= m1.v1 axby, cxdy [6] pr In[6]:= Out[6]= pr = m1.m 3ab, ab,3cd, cd [7] In[7]:= Out[7]//MatrixForm= pr //Matri
![ParametricPlot [5] In[5]:= Out[5]= m1.v1 axby, cxdy [6] pr In[6]:= Out[6]= pr = m1.m 3ab, ab,3cd, cd [7] In[7]:= Out[7]//MatrixForm= pr //Matri](/thumbs/82/86248940.jpg "ParametricPlot [5] In[5]:= Out[5]= m1.v1 axby, cxdy [6] pr In[6]:= Out[6]= pr = m1.m 3ab, ab,3cd, cd [7] In[7]:= Out[7]//MatrixForm= pr //Matri")
Chapter 6 1 ParametricPlot 3 ParametricPlot ParametricPlot3D 6.1 [1] *1 In[1]:= v1 = {x, y}; v = {z, w}; [] In[]:= m1 = {{a, b}, {c, d}}; m = {{3, }, {1, }}; [3] 3 3.3 In[3]:= Out[3]//MatrixForm= [] m1
210 資料 TI 89 (1) TI 89 2nd ON HOME ( ) ( ) HOME =! ENTER ( ) = (10) ENTER ( ) [ ] { } ( )! 2 =! ( ) ( ) 2 3x ( 2y + yz) ( ) 3x ( ( ) 2y + y z)
![210 資料 TI 89 (1) TI 89 2nd ON HOME ( ) ( ) HOME =! ENTER ( ) = (10) ENTER ( ) [ ] { } ( )! 2 =! ( ) ( ) 2 3x ( 2y + yz) ( ) 3x ( ( ) 2y + y z)](/thumbs/95/123380956.jpg "210 資料 TI 89 (1) TI 89 2nd ON HOME ( ) ( ) HOME =! ENTER ( ) = (10) ENTER ( ) [ ] { } ( )! 2 =! ( ) ( ) 2 3x ( 2y + yz) ( ) 3x ( ( ) 2y + y z)")
210 資料 TI 89 (1) TI 89 2nd ON HOME () () HOME =! ENTER () = 3 10 3 (10) ENTER ( ) [ ] { } ( )! 2 =! ( ) () 2 3x ( 2y + yz) ( ) 3x ( ( ) 2y + y z) ENTER () 2nd 9 2nd 9) ENTER ( ) 2nd 7) ENTER 7 7 ) ENTER
II - ( 02 ) 1,,,, 2, 3. ( ) HP,. 2 MATLAB MATLAB, C Java,,., MATLAB, Workspace, Workspace. Workspace who. whos. MATLAB, MATLAB Workspace. 2.1 Workspac
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Excel ではじめる数値解析 サンプルページ この本の定価 判型などは, 以下の URL からご覧いただけます. このサンプルページの内容は, 初版 1 刷発行時のものです.
Excel ではじめる数値解析 サンプルページ この本の定価 判型などは, 以下の URL からご覧いただけます. http://www.morikita.co.jp/books/mid/009631 このサンプルページの内容は, 初版 1 刷発行時のものです. Excel URL http://www.morikita.co.jp/books/mid/009631 i Microsoft Windows
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半日で覚える Mathematica 理数系教材に必要な基本機能 神戸大学人間発達環境学研究科長坂耕作 (C) Kosaku Nagasaka, Kobe University 半日で覚える Mathematica 理数系教材に必要な基本機能 神戸大学人間発達環境学研究科長坂耕作 ノートブックやドキュメントセンターの使い方は含まれていません セルやセルブラケットなども含め, これらの名称や操作方法については,
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Ÿ ( ) Ÿ 7,488,161,218 7,396,414,506 91,708,605 38,107 4,376,047 2,037,557,517 1,000,000 i 200,000,000 1,697,600, ,316.63fl 306,200,000 14
Ÿ ( ) (Ÿ ) Ÿ J lllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll ¾ 17 18. 3.30 24,222,550,856 8,088,715,093 16,133,835,763 14,673,176,237 (400,000) 1,265,253,000 201,000,000 1,000,000 200,000,000
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