v8 Mathematica ( ) [ ], { } Expand[(a+b)^2] Plot[Sin[x], {x, 0, 2Pi}] Windows Mathematica Mathematica 2.2 v8 Mathematica = ( ) = s
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1 Bulletin of JSSAC(2012) Vol. 18, No. 2, pp : Mathematica v8 Wolfram Research Asia Limited 1 Mathematica R v v8 12 v v6 Mathematica v6 v7 v8 v6 OpenGL R Direct3D R Mathematica v8 Mathematica Mathematica v8 v8 Mathematica [email protected] c 2012 Japan Society for Symbolic and Algebraic Computation
2 v8 Mathematica ( ) [ ], { } Expand[(a+b)^2] Plot[Sin[x], {x, 0, 2Pi}] Windows Mathematica Mathematica 2.2 v8 Mathematica = ( ) = solve the equation x2+2x+1=0 Mathematica Wolfram R Mathematica Mathematica x==-1 x2 x^2 OK = plot sinx with red dashing sin(x) Mathematica = plot sinxy
3 Bulletin of JSSACVol. 18, No. 2, sin(x y) 2 3D Mathematica Mathematica 3 Mathematica typeset MathML Mathematica Mathematica GUI Mathematica Textbook PDF 3.2 TraditionalForm Mathematica TraditionalForm 3.3 CDF TM Computable Document Format Mathematica Mathematica
4 Mathematica Player v8 Mathematica 1. Mathematica NB :.nb CDF :.cdf 2. CDF Player 3. CDF CDF Player CDF Player Mathematica CDF Mathematica 1 Mathematica 4 Mathematica v2 Manipulate v6 4.1 GUI sin(x) sin(x) Manipulate[ Plot[ *Sin[ *x- *t], {x,-2*pi,2*pi}, PlotRange -> {-5,5}], {, 1, 5}, {, 1, 10}, {, 1, 10}, {t, 0, 10 Pi}] 1 2 {, 1, 5} [1.0, 5.0]
5 Bulletin of JSSACVol. 18, No. 2, : Manipulate 2: 3 t 3: 4: 4
6 n = 1, 2, 3,... (a + b) n func=sin, Cos, Tan, Cot func[x] Cos cos(x) 5 5: 4.2 GUI Manipulate NB CDF CDF Player Mathematica Mathematica Wolfram 5 v6 OpenGL Direc3D v D 3D 6 SphericalPlot3D[ 1, {u,0,pi}, {v,0,2pi}, Mesh->None, TextureCoordinateFunction->({#5, 1-#4}&), PlotStyle->Directive[Specularity[ White, 10], Texture[ ]], Lighting->"Neutral", Axes->False, RotationAction->"Clip"] 2D &
7 Bulletin of JSSACVol. 18, No. 2, & Mathematica GUI 3D Manipulate 2D Mathematica 6: 5.2 myspheres = Table[{RGBColor[Random[], Random[], Random[]], Manipulate[ Graphics3D[ Specularity[White, 128], Sphere[{x, y, z}, 1]}, {x, 0, 10, 4}, {y, 0, 10, 4}, {z, 0, 10, 4}]; {White, PointSize[.02], Point[{t[[1]], t[[2]], 5}], myspheres}, Background -> Black, Boxed -> False, Lighting -> {RGBColor[.3,.3,.3], {White, {{{t[[1]], t[[2]], 5}, {0, 0, 0}}, 2}}}, PlotRange -> {{-1, 10}, {-1, 10}, {-1, 10}}, ImageSize -> 500], {t, {-15, -15}, {20, 20}}, SaveDefinitions -> True] Mathematica C OpenGL+GLUT GUI Mathematica 6 Mathematica Manipulate 6.1 Manipulate
![{z, 0, 10, 4}]; {White, PointSize[.02], Point[{t[[1]], t[[2]], 5}], myspheres}, Background -> Black, Boxed -> False, Lighting -> {RGBColor[.3,.](/docs-images/53/20117455/images/page_7.jpg "3,.3], {White, {{{t[[1]], t[[2]], 5}, {0, 0, 0}}, 2}}}, PlotRange -> {{-1, 10}, {-1, 10}, {-1, 10}}, ImageSize -> 500], {t, {-15, -15}, {20, 20}}, SaveDefinitions")
8 Manipulate Manipulate Manipulate 4.1 NDSolve (Numerical Differential equation Solve) NDSolve ss[a_] := NDSolve[{y [x]==y[x]*cos[x+a*y[x]], y[0]==1}, y, {x, 0, 30}]; ss Manipulate[ Plot[Evaluate[y[x] /. ss[a]], {x, 0, 30}, PlotRange -> {0, 3.0}], {a, 0, 2}] 7 a Rapid Proto Typing 7: 6.2 GPU v7 Parallelize v8 v8 GPU GPU CUDA OpenCL Mathematica GPU Mathematica GPU
![[x]==y[x]*cos[x+a*y[x]], y[0]==1}, y, {x, 0, 30}]; ss Manipulate[ Plot[Evaluate[y[x] /.](/docs-images/53/20117455/images/page_8.jpg "ss[a]], {x, 0, 30}, PlotRange -> {0, 3.0}], {a, 0, 2}] 7 a Rapid Proto Typing 7: 6.")
9 Bulletin of JSSACVol. 18, No. 2, GPU CPU GPU GPU CPU CPU GPU 7 v6 Wolfram Mathematica 7.1 Wolfram Mathematica Wolfram Mathematica GDP GDP Mathematica 7.2 Mathematica Mathematica Mathematica Mathematica 100
10 TEX CAD 8 v8 Mathematica v8 CurrentImage Dynamic Dynamic[CurrentImage[ ]] Dynamic[EdgeDetect[CurrentImage[ ]]] Mathematica USB 9 Wolfram Alpha R Wolfram Alpha Wolfram Wolfram Alpha ( ) Mathematica ==integrate 1/(x^3-1)
11 Bulletin of JSSACVol. 18, No. 2, Show Steps 2 ==A glass of beer + a bigmac Wolfram Alpha 10 CDF CDF GUI CDF 11 Mathematica Mathematica mathematics mathematics Mathematica Mathematica Wolfram Mathematica Mathematica Wolfram
GraphicsWithPlotFull.nb Plot[{( 1), ( ),...}, {( ), ( ), ( )}] Plot Plot Cos x Sin x, x, 5 Π, 5 Π, AxesLabel x, y x 1 Plot AxesLabel
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Bulletin of JSSAC(2012) Vol. 18, No. 2, pp. 161-171 : Sage 1 Sage Mathematica Sage (William Stein) 2005 2 2006 2 UCSD Sage Days 1 Sage 1.0 4.7.2 1) Sage Maxima, R 2 Sage Firefox Internet Explorer Sage
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J.JSSAC (2005) Vol. 11, No. 3,4, pp. 77-88 Noda2005 MathBlackBoard MathBlackBoard is a Java program based on the blackboard applet. We can use the blackboard applet with GUI operations. The blackboard
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Mathematica を活用する数学教材とその検証 (数式処理と教育)
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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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Bulletin 2008 208 4 C O L O N N A D E F O R U M B A C K Y A R D The Japan Institute of Architects Tel: 03-3408-8291 Fax: 03-3408-8294 http://www.jia-kanto.org/members 2 Bulletin 2008 4 Bulletin 2008 4
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Wolfram Alpha と CDF の教育活用 (数学ソフトウェアと教育 : 数学ソフトウェアの効果的利用に関する研究)
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