1 Mathematica 1 ê Mathematica Esc div Esc BasicInput 1.1 Ctrl + / Ctrl + / Ctrl / Mathematica N π D
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1 1 Mathematica 1 ê Mathematica Esc div Esc BasicInput 1.1 Ctrl + / Ctrl + / Ctrl / Mathematica N π 100 N@Pi, 100D
2 BasicInput ê Pi π Pi P π BasicInput 3
3 1 Mathematica Esc pi Esc Esc p Esc N@pD E e Pi E e Esc ee Esc BasicInput N@ED N@ãD ê EvenQ OddQ EvenQ@3D False OddQ@3D True 4
4 ê BASIC Mathematica n Prime PrimeQ Prime 10 Prime@10D PrimeQ PrimeQ@123D False Map /@ p.40 Range p Prime ž Range@10D 82, 3, 5, 7, 11, 13, 17, 19, 23, 29<
5 1 Mathematica Prime ž 100D 829, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503, 509, 521, 523, 541< ê FactorInteger , 2<, 85, 1<< {{2, 2}, {5, 1}} ê Divisors 6 Divisors@6D 81, 2, 3, 6< GCD 6
6 6 2, 53, 21 LCM 53, 21D , 12D 2226 ê Random BASIC Mathematica SeedRandom
7 1 Mathematica Random , 10<D Random@Real, 8-1, 1<D Random@Complex, 80, 1 +ä<d ä i Esc ii Esc BasicInput I i 8
8 ê 523 5, 2, 3 IntegerDigits IntegerDigits@523D 85, 2, 3< 1.1 IntegerPart π 10 π 10 9 IntegerPart IntegerDigits IntegerDigits@IntegerPart@10 9 pdd 83, 1, 4, 1, 5, 9, 2, 6, 5, 3< π 10 RealDigits 10D, 10,10D 883, 1, 4, 1, 5, 9, 2, 6, 5, 4<, 1< Ver D, 10,10D 883, 1, 4, 1, 5, 9, 2, 6, 5, 3<, 1< 9
9 1 Mathematica FromDigits 2, 3<D 523 ê ! 2 10! BaseForm 2 BaseForm@10!, 2D IntegerDigits 2 IntegerDigits@10!, 2D 81, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0< FromDigits FromDigits@81, 0, 0, 1<, 2D 9 10
10 883, 1, 4, 1, 5, 9, 2, 6, 5, 3, 5, 8, 9, 7, 9, 3, 2, 3, 8, 4<, 1< RealDigits@N@p, 21D, 10, 20D 11
11 1 Mathematica 2 BASIC Mathematica Plot ê Mathematica y =2x 2 Plot@2x 2, 8x, -2, 2<D; x 2 BasicInput Ctrl + 6 Ctrl + ^ y = x 2 12
12 1.2 8x, -2, 2<D; AspectRatio -> Automatic 2, 8x, -2, 2<, AspectRatio-> AutomaticD; 2 13
13 1 Mathematica %%D; % %% 2 %5 Out[5] 2 x 2 {x 2,2 x 2 } {}
14 5 2x2<, 1.2 8x, -2, 2<, AspectRatio-> AutomaticD; ( ) PlotStyle 15
15 1 Mathematica 8x, 0, 2 p<, AspectRatio-> Automatic, PlotStyle-> 8 8RGBColor@1, 0, 0D, Thickness@0.015D, Dashing@80.02, 0.02<D<, 8RGBColor@0, 0, 1D, Thickness@0.01D, Dashing@80.01, 0.02, 0.1, 0.02<D<<D; PlotStyle{{ 1 } { 2 }} RGBColor[ r,g,b ] : r,g,b 0 1 Thickness [ t ] : t 0 1 Dashing [{a,b,...}] : a,b 0 1 ê 2 GraphicsArray 16
16 PlotRange-> 8-8, 8<, AspectRatio-> Automatic D; g2 = Plot@x 3-3x,8x, -3, 3<, PlotRange-> 8-8, 8<, AspectRatio-> Automatic D; g2<dd; 1.2 g1 = Plot@x3, 8x, -3, 3<, 17
17 1 Mathematica ê y = sin x x y = cos x Table@Plot@8Sin@x - td, Cos@xD<, 8x, 0, 2 p<, AspectRatio -> Automatic, PlotStyle -> 8 8RGBColor@1, 0, 0D, Thickness@0.015D, Dashing@80.02, 0.02<D<, 8RGBColor@0, 0, 1D, Thickness@0.01D, Dashing@80.01, 0.02, 0.1, 0.02<D<<D, 8t, 0, 2 p, 0.1<D; Table p.34 18
18 << Graphics Animation << ProgrammingInMathematica AutoAnimation Out[**] Animate td, 8x, 0, 2 p<, AspectRatio -> Automatic, PlotStyle -> 8 8RGBColor@1, 0, 0D, Thickness@0.015D, Dashing@80.02, 0.02<D<, 8RGBColor@0, 0, 1D, Thickness@0.01D, Dashing@80.01, 0.02, 0.1, 0.02<D<<D, 8t, 0, 2 p, 0.1<D; p.123 Which ê3 3 Mathematica 19
19 1 Mathematica 8x, 0, 2 p<, 8y, 0, 2 p<d; Plot3D@Sin@xyD, 8x, 0, 2 p<, 8y, 0, 2 p<, ViewPoint-> 8-2, 1, 1.5<D; ViewPint -> {-2,1,1.5} 1.2 3D ViewPoint 20
20 D Mesh -> False PlotPoints -> 40 PlotPoints 40 21
21 1 Mathematica 8x, 0, 2 p<, 8y, 0, 2 p<, PlotPoints-> 40, Mesh -> False, ViewPoint-> 8-2, 1, 1.5<D; Ver 4.0 RealTIme3D << RealTime3D Plot3D 3 Plot3D@ Sin@xyD, 8x, -p, p<, 8y, -p, p<d; 22
22 Ctrl RealTime3D 3D 3D Defaule3D 1.2 << Default3D ê 1 { x = cos t y = sin t ParametricPlot ParametricPlot@8Cos@tD, Sin@tD<, 8t, 0, 2 p<d; Plot AspectRatio -> Automatic 23
23 1 Mathematica 8t, 0, 2 p<, AspectRatio-> AutomaticD; Plot {{x 1 (t),y 1 (t)}, {x 2 (t),y 2 (t)}} Plot PlotStyle ParametricPlotA98Cos@tD, Sin@tD<, 9Cos@tD, 1 Sin@tD==, 8t, 0, 2 p<, 2 AspectRatio-> Automatic, PlotStyle-> 8RGBColor@1, 0, 0D, RGBColor@0, 0.8, 0D<E;
24 ê x 2 +3y 2 =3 y = ± 3 x 2 3 PlotA9-!!!!!!!!!!! 3 - x!!! 2 3,!!!!!!!!!!! 3 - x!!! =, 9x, -!!!!!! 3, 3 =E; x 2 +3y 2 =3 ImplicitPlot << Graphics ImplicitPlot x 2 +3y 2 =3 ImplicitPlot@x 2 + 3y 2 == 3, 8x, -2, 2<D;
25 1 Mathematica ê3 3 ParametricPlot3D@8Cos@tD, Sin@2 td, 0.05 t<, 8t, 0, 2 p<d; ParametricPlot3D@82 Sin@tD Cos@sD, 2 Sin@tD Sin@sD, 2 Cos@tD<, 8t, 0, 2 p<, 8s, 0, 2 p<d; 26
26 ê 0.2, 0.3, 0.4, 0.5<, PlotStyle -> 1.2 {0.1, 0.2, 0.3, 0.4, 0.5} (1, 0.1),(2, 0.2),(3, 0.3),(4, 0.4),(5, 0.5) (x, y) (0, 0),(1, 2),(2, 2),(3, 4) 0<, 81, 2<, 82, 2<, 83, 4<<, PlotStyle-> 27
27 1 Mathematica 3 êappend Append lst = 8a, b, c<; Append@lst, dd 8a, b, c, d< Append lst lst d Append lst 8a, b, c< {a, b, c, d} lst {a, b, c} {a, b, c, d} AppendTo AppendTo@lst, dd 8a, b, c, d< lst 8a, b, c, d< êsort Sort 28
28 81, 2, 3, 4, 6, 7< a, d, z, ab, ca, acb<d 8a, ab, acb, b, ca, d, z< 1.3 2, 6, 4, 7, 1<D Sort Greater 2, 6, 4, 7, 1<, GreaterD 87, 6, 4, 3, 2, 1< Less 2, 6, 4, 7, 1<, LessD 81, 2, 3, 4, 6, 7< êflatten Flatten {{a, b}, {c, d}, {{e}}} {} {} b<, 8c, d<, 88e<<<D 8a, b, c, d, e< 1 {} Flatten@88a, b<, 8c, d<, 88e<<<, 1D 8a, b, c, d, 8e<< 29
29 1 Mathematica 2 êtake Take Take@8a, b, c, d<, 3D 8a, b, c< - Take@8a, b, c, d<, -2D 8c, d< êselect Select p.38 Select@8a, 23, 12, 0, 3.5<, EvenQD 812, 0< êdrop Drop Drop@8a, b, c, d<, 2D 8c, d< 30
30 Take - Drop@8a, b, c, d<, -2D 8a, b< 1.3 êdelete Delete 2 Delete@8a, b, c, d<, 2D 8a, c, d< 2 Delete@8a, b, c, d<, -2D 8a, b, d< êfirst First First@8a, b, c, d<d a êlast Last 31
31 1 Mathematica b, c, d<d d êmemberq {a, b, c, d} a MemberQ@8a, b, c, d<, ad True {a, b, c, d} {a} MemberQ@8a, b, c, d<, 8a<D False êposition p.38 Position a Position@8a, b, a, c, d<, ad 881<, 83<< ^ 32
32 882<, 83<< 1.3 x2, a5, y<, _^_D 33
33 1 Mathematica 4 êtable For Do While Mathematica Table Table[,{,, }] Table@n, 8n, 1, 10<D 81, 2, 3, 4, 5, 6, 7, 8, 9, 10< 2 Table@n, 8n, 1, 10, 2<D 81, 3, 5, 7, 9< Table Range Range@10, 20, 3D 810, 13, 16, 19< Table 34
34 8n, 1, 5<D; 1.4 l = 8<; 82< 82, 3< 82, 3, 5< 82, 3, 5, 7< 82, 3, 5, 7, 11< êfor Table For For@i = 1, i < 5, Print@iD; i++d Table Print[ i ] 35
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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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8 8 Mathematica y = f(x) Plot Plot[f, {x, xmin, xmax}] f x x xmin ~ xmax In[]:= Plot@Sin@xD, 8x,, Pi
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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.
ContourPlot[{x^+y^==,(x-)^+y^==}, {x,-,}, {y,-,}, AspectRatio -> Automatic].. ContourPlot Plot AspectRatio->Automatic.. x a + y = ( ). b ContourPlot[x
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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.
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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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
ContourPlot[{x^+y^==,(x-)^+y^==}, {x,-,}, {y,-,}, AspectRatio -> Automatic].5. ContourPlot Plot AspectRatio->Automatic.. x a + y = ( ). b ContourPlot[
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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,
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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 =
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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
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
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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
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データ処理 : 表計算ソフトと同じことをしてみよう Mathematica で表計算ソフトに出来ることを任せる方法を学ぼう. 数や文字列を Mathematica に取り込んでみよう ü Excel や Calc などの表計算ソフトからデータを取り込む 表計算ソフトはとても便利なので, 様々なデータを表計算ソフトのファイル形式で保存している人も多いのではないかと思います. ここでは, そのような表計算ソフトのファイルから数や文字列を
合併後の交付税について
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29 21 3 1 1 2 1.1............................ 2 1.2................................... 2 2 3 2.1 Neumann...................... 3 2.2............................. 5 2.3.................................
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
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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
Chapter (dynamical system) a n+1 = 2a n ; a 0 = 1. a n = 2 n f(x) = 2x a n+1 = f(a n ) a 1 = f(a 0 ), a 2 = f(f(a 0 )) a 3 = f(f(f(a
Chapter 14 3 1 1 13 14.1 (dynamical system) a n+1 = 2a n ; a 0 = 1. a n = 2 n f(x) = 2x a n+1 = f(a n ) a 1 = f(a 0 ), a 2 = f(f(a 0 )) a 3 = f(f(f(a 0 ))) f a 0 1 2 14 3 *1 {a n } R 0, ±1, ±2, x 1 f(x)
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
Chapter 3 Mathematica Mathematica e a n = ( ) n b n = n 1! + 1 2! n! b n a n e 3/n b n e 2/n! b n a n b n M athematica Ma
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c y /2 ddy = = 2π sin θ /2 dθd /2 [ ] 2π cos θ d = log 2 + a 2 d = log 2 + a 2 = log 2 + a a 2 d d + 2 = l
![c y /2 ddy = = 2π sin θ /2 dθd /2 [ ] 2π cos θ d = log 2 + a 2 d = log 2 + a 2 = log 2 + a a 2 d d + 2 = l](/thumbs/85/91372642.jpg "c y /2 ddy = = 2π sin θ /2 dθd /2 [ ] 2π cos θ d = log 2 + a 2 d = log 2 + a 2 = log 2 + a a 2 d d + 2 = l")
c 28. 2, y 2, θ = cos θ y = sin θ 2 3, y, 3, θ, ϕ = sin θ cos ϕ 3 y = sin θ sin ϕ 4 = cos θ 5.2 2 e, e y 2 e, e θ e = cos θ e sin θ e θ 6 e y = sin θ e + cos θ e θ 7.3 sgn sgn = = { = + > 2 < 8.4 a b 2
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2 1 Mathematica Mathematica Mathematica Mathematica Windows Mac *1 1.1 1.1 Mathematica 9-1 Expand[(x + y)^7] (x + y) 7 x y Shift *1 Mathematica 1.12
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