1분과-8일_고_mathmatica(김영미)

Mathematica

. ( ), p.3 p.109

1. , , , , , . .

1)

Plot . .

Plot[f[x], {x, a, b}, ]

. .

.

Plot[x^2, {x, -2, 2}];

Plot Plot[ , { }] .

Mathematica Plot .

.

Plot[x^2, {x, -2, 2}, PlotStyle -> RGBColor[1, 0, 0]];

RGBColor Hue .

RGBColor[r. g. b], Hue [h] , r, g, b, h 0 1 . RGBColor R Red, G Green, B Blue , RGBColor[1, 0, 0] .

.

Plot[x^2, {x, -2, 2}, PlotStyle -> Thickness[0.01]];

Thickness [a] a 0 1

0.005 0.01 . a 1 . a . a 1 .

.

Plot[x^2, {x, -2, 2},

PlotStyle -> {RGBColor[1, 0, 0], Thickness[0.01]}];

.

1, .

Plot[x^2, {x, -2, 2},

PlotStyle -> {RGBColor[1, 0, 0], Thickness[0.01]},

Ticks -> {{-1, 1}, {2}}];

Ticks

.

.

Plot[x^2, {x, -2, 2},


Ticks -> {{-1, 1}, {2}},

AxesStyle -> {RGBColor[0, 1, 0], Thickness[0.007]}];

(1) Axes Style Style .

(2) .

(PlotLabel) .

Plot[x^2, {x, -2, 2},


Ticks -> {{-1, 1}, {2}},

AxesStyle -> {RGBColor[0, 1, 0], Thickness[0.007]},

PlotLabel -> "y=x^2 "];

(PlotLabel) ( , ).

Plot[x^2, {x, -2, 2},


Ticks -> {{-1, 1}, {2}},


PlotLabel -> StyleForm["y=x^2" , FontSize -> 15,

FontWeight -> "Bold"]];

Fontsize , Plain Bold , Thin, Light, Medium, SemiBold, Heavy, Black, Fat

.

PlotLabel .

Plot[x^2, {x, -2, 2},


Ticks -> {{-1, 1}, {2}},


Epilog -> Text["y=x^2 ", {1, 1}]];

Text Prolog Epilog . Prolog

Epilog . Text Text[" ", {a, b}] . " " Text ,

. {a, b} Text . {a, b} Text .

Text Style .

Plot[x^2, {x, -2, 2},


Ticks -> {{-1, 1}, {2}},


Epilog -> Text[StyleForm["y=x^2 ",

FontSize -> 15, FontWeight -> "Bold",

FontColor->RGBColor[1, 0, 0]], {1, 1}]];

Text Style Text[StyleForm [ Style "], {a, b}]

. Text FontColor ->RGBColor[1, 0, 0] .

Text .

Plot[x^2, {x, -2, 2},


Ticks -> {{-1, 1}, {2}},


Epilog->{Text[StyleForm["y=x^2 ",


FontColor -> RGBColor[1, 0, 0]], {1, 1}],

Text[StyleForm[" .",


FontColor->RGBColor[0, 0, 1]], {1, 3}]}];

Text Epilog { , }.

2) , x=f(t), y=g(t) ParametricPlot . .

ParametricPlot[{f(t), g(t)},{t, a, b}, ]

, ParametricPlot . .

ParametricPlot[{f[t], g[t]}, {t, a, b}, ]

.

( , ) .

1 .

ParametricPlot[{Cos[t], Sin[t]}, {t, 0, 2Pi}];

{t, 0, 2Pi} Pi .

style .ParametricPlot[{Cos[t], Sin[t]}, {t, 0, 2Pi},

PlotStyle -> {Thickness[0.01], RGBColor[1, 0, 0]}];

. ParametricPlot

. .

, .

ParametricPlot[{Cos[t], Sin[t]}, {t, 0, 2Pi},

PlotStyle -> {Thickness[0.01], RGBColor[1, 0, 0]},

AspectRatio -> Automatic];

.ParametricPlot[{Cos[t], Sin[t]}, {t, 0, 2Pi},


AspectRatio -> Automatic, ImageSize -> 200];

ImageSize a a .

.



AspectRatio -> Automatic, ImageSize -> 200,

Epilog -> Text[StyleForm[" ", FontSize -> 15,

FontColor -> RGBColor[0, 0, 1],

FontWeight -> "Bold"], {0.5, 0.5}]];

Plot Epilog . StyleForm

.

, .






FontWeight -> "Bold"], {0.5, 0.5}],

PlotRange -> {{-2, 2}, {-2, 2}}];

.






FontWeight -> "Bold"], {0.5, 0.5}],

PlotRange -> {{-2, 2}, {-2, 2}},

Ticks -> {{-1.5, 1.5}, {-1.5, 1.5}}];

. Mathematica ( ) ( ,

, data ) Text (HWP ) Mathematica . .

1. text Directory a: (1.gif ) Text

,.

a: .

(* Directory *)

(* Directory *)

(* aaa Text *)

(*Text *)

2. text Directory a: 2.wav Text ,

.

3. (.nb) (.hwp) . (1) Mathematica .

(2) Edit-Copy As-Plain Text

.

(3) . Edit-Save Selection As-Windows Metafile(wmf) 1.wmf .

< > 1.wmf

. . Edit-Copy As- . , Save Selection As Copy As .

4. Mathematica nb Kim.nb . a: 1.nb kim.nb .

(1) (Prompt line) " . ,Format-Show Toolbar ( )

.

(2) Block .

(3)Input-Create Hyperlink . Other notebook or URL Browse A:\1.nb .

(4) OK Button .

(5) kim.nb [ ] 1.nb .

5. Mathematica (.nb) Homepage (1) nb File-Save As special-HTML .

(2) 1.html .

(3) 1.html Image Link , Mathematica .

III. Help , Mathematica

1. Help (1) Help Browser

(2) Find Selected Function .

(3) Master Index .

(4) Built-in Funtions (2) .

(5) Mathematica Book virsion4.0 Mathematica .

(6) Getting Started/Dmos Mathematica Gallery .

(7) Add-On Package .

(8) Registraion... Mathematica .

(9) About Mathematica Mathematica Website .

2. Help

, .(1) Mathematica .

. Mathematica . . Mathematica . < + > . .

Solve[eqns, vars] attempts to solve an equation or set ofequations for the variables vars. Solve[eqns, vars, elims]attempts to solve the equations for vars, eliminating thevariables elims.

, ] . , , .

(2) . . ? (*) . . .

Solution Of Solve SolveAlways SolveDelayed

, . .

(3) . , (Options) .

Solve[eqns, vars] attempts to solve an equation or set ofequations for the variables vars. Solve[eqns, vars, elims]attempts to solve the equations for vars, eliminating thevariables elims.

Attributes[Solve] = ProtectedOptions[Solve] = {InverseFunctions->Automatic,MakeRules->False,

Method->3, Mode->Generic,Sort->True, VerifySolutions->Automatic,WorkingPrecision->Infinity}

, (Protected) (1) ,

.

(4) (1) (3) Mathematica

Mathematica , Help Help Browser .

, Help Help Browser mouse click Help go to Box , go to Box 6 Built-in Functions enter ( ). go to

Box , .

, Help go to Box solve Solve enter

Solve , , Solve click Solve

. ( )

scroll bar Further Examples click . Help Browser + , .

3.

PolorPlot . PolorPlot .

.

.PolarPlot[Sin[3t], {t, 0, Pi},

PlotStyle -> {Thickness[0.01], Hue[0]}];

.PolarPlot[Sin[3t], {t, 0, Pi},

PlotStyle -> {Thickness[0.01], Hue[0]},

PlotRange -> {{-1, 1}, {-1, 1}}];

, .PolarPlot[Sin[3t], {t, 0, Pi},


PlotRange -> {{-1, 1}, {-1, 1}},

Ticks -> {{-1, 1}, {-1, 1}}]

Do .

Do[PolarPlot[Sin[3t], {t, 0, k},


PlotRange -> {{-1, 1}, {-1, 1}},

Ticks -> {{-1, 1}, {-1, 1}}], {k, Pi/12, Pi, Pi/12}]

Do Do[ , ] , .

4. Palettes Mathematica

Palettes .

1) Palettes

(1) AlgebraicManipulation (2) BasicCaculations

(3) Basic Input (4) Basic Typesetting

(5) CompleteCharacters (6) InternatinalCharacters

(7) NotebookLauncher

[ , ( )] . ,

.

. 2 File Palettes 3.

Basic Input mouseclick

. , (Tab) mouse .

2). File-Palettes-Basic Input

3) File-Palettes-Basic Calcul -ations .

File-Palettes-2.Basic Calulations Arithmetic and Numbers

.

4). File-Palettes-Basic CalculationsLists and Matrices

.

5) File-Palettes-2. Basic Calculations-trigonometric and Exponential Function Trigonometric( ) Exponential and

Logarithmic( ) .

6). File-Palettes-Basic Calculations -Calculus-Common Operations , , , .

7). File-Palettes-Basic Calculations-Algebra- Polynomial Manipulation ,

, .

8) File-Palettes-Basic Calculations -Calculus -Solving Equation .

V. Mathmatica - I1.

. ImplicitPlot . ImplicitPlot .

1:1 .

Style .

ImplicitPlot[x^2 + y^2 == 1, {x, -1, 1},


PlotRange -> {{-2, 2}, {-2, 2}}];

Style .

ImplicitPlot[x^2 + y^2 == 1, {x, -1, 1},


PlotRange -> {{-2, 2}, {-2, 2}},

Ticks -> {{-1, 1}, {-1, 1}},

AxesStyle -> {Thickness[0.01], RGBColor[0, 0, 1]}];

2). .

(0,0), 2 (2,0),

=-2 .

{{Thickness[0.01], RGBColor[1, 0, 0]},

{Thickness[0.01], RGBColor[0, 1, 0]}},

PlotRange -> {{-4, 4}, {-4, 4}}];

.

ImplicitPlot[{x^2 + y^2 == 4, y^2 == 8x}, {x, -3, 3},

PlotStyle -> {{Thickness[0.01], RGBColor[1, 0, 0]},

{Thickness[0.01], RGBColor[0, 1, 0]}},

PlotRange -> {{-4, 4}, {-4, 4}},

Ticks -> {{-3, -2, -1, 1, 2, 3}, {-2, 2}}];

2.

, (Point), (Line), (Polygon), (Circle), (Disk) . .

Show[Graphics[ , ]]

. 1) . (0, 0) 1 .

Show[Graphics[Circle[{0, 0}, 1]]];

(1) Show [ ] .

(2) . AspectRatio->1( Automatic) .

(3) Circle [{a, b}, r] , (a, b) r.

(0, 0) 1 (Disk ) .

Show[Graphics[Disk[{0, 0}, 1]], AspectRatio -> 1];

(Disk) Disk [{a, b}, r] . .

Show[Graphics[{RGBColor[1, 0, 0], Circle[{0, 0}, 1], RGBColor[0, 0, 1],

Disk[{1, 1}, 1]}], AspectRatio -> 1];

{ 1, , 2, } . 1

2 .

.

Show[Graphics[{RGBColor[1, 0, 0], Circle[{0, 0}, 1, {-Pi/2, Pi}],

RGBColor[0, 0, 1], Disk[{1, 1}, 1, {0, Pi}]}],

AspectRatio -> 1];

.Circle[{a, b}, r, {c, d}] (a, b), r c d

. , Circle[{0, 0}, 1, {-Pi/2, Pi}] (0, 0), 1

.

.

Show[Graphics[{RGBColor[1, 0, 0], Polygon[{{0, 0}, {1, 1}, {-1, 1}}]}],

AspectRatio -> 1];

Polygon [{{a, b}, {c, d}, {e, f}}] . (a, b)

(c, d), (e, f) . .

.

Show[Graphics[{RGBColor[1, 0, 0], Polygon[{{0, 0}, {1, 1}, {-1, 1}}],

RGBColor[0, 0, 1], Rectangle[{1, 1}, {2, 2}]}],

AspectRatio -> 1];

Rectangle [{{a,b},{c,d}}] . (a,b) (c,d)

.

.

Show[Graphics[{RGBColor[1, 0, 0], Polygon[{{0, 0}, {1, 1}, {-1, 1}}],

RGBColor[0, 0, 1], Rectangle[{1, 1}, {2, 2}],

PointSize[0.05], RGBColor[0, 1, 0], Point[{0, 1.5}]}],

AspectRatio -> 1];

V. Mathmatica - II x

.

1) .

Plot[1/3(x^3 - 6 x^2 + 9 x), {x, 1, 4};

1.5 2 2.5 3 3.5 4

0.2

0.4

0.6

0.8

1

1.2

2) .Plot[1/3(x^3 - 6 x^2 + 9 x), {x, 1, 4},

PlotStyle -> {Hue[0.6], Thickness[0.012]};

1.5 2 2.5 3 3.5 4

0.2

0.4

0.6

0.8

1

1.2

3) .g =ParametricPlot3D[

{t, 1/3(t^3 - 6 t^2 + 9 t) Cos[u], 1/3(t^3 - 6 t^2 + 9 t)Sin[u]},

{t, 1, 4}, {u, 0, 2 Pi}, Boxed -> False, Axes -> False,

PlotPoints -> Automatict,

PlotRange -> {{1, 4}, {-1.5, 1.5}, {-1.7, 1.7}}];

4) ViewPoint .

5) .

6) .

1 2 3 4

-101

1 2 3 4

7) x .

1 2 3 4

-101

1 2 3 4

8) ViewPoint .

VI. Mathmatica

Mathematica ( / ) , Mathematica , ..

1. 1) Format-ShowToolbar .

2) Mathematica (prompt line) .

Default . Title . , Input

, Title , / Mathematica . ( ) .

3) (Prompt line) . , . ( ) .

4) , . , .

5) ,

+ .

6) , ,.

7) . 8) , Format-Style Sheet .

9) 5) Default 7. Demo Text 9. HTML . Presentation Default . Demo Text .

10) (Font), (Face), (Size) (Text Color) . Subtitle Format Font, Face, Size, Text Color , Bold, 20, Blue

, Title Block , Format Font, Face, Size, Text Color Arial,

Italic, 30, Red . .

11) Mathematica , Kernel-Delete All Output . File-Save as ,

. .nb(nb:notebook) .

12) , File-Open .nb [ ] . , .nb Kernel-Evaluation -Evaluate Notebook.

13). (Prompt line) .

14). .nb File -Save , 1.nb File-Save

As 1 .

2. 12 . 12 , 12 Mathematica.

1) , 220hz-40000hz . .

(1)Play

[Sin[ 400x]

, {x, 0, 1}

]; , .

. , { } 1.

(2) wave . , wave . wave . .Play[Sin[1500x] , {x, 0, 1}];

Play[Tan[1500x], {x, 0, 1}];

(3) cosine sine .Play[Sin[1500x] , {x, 0, 1}];

Play[Cos[1500x] , {x, 0, 1}];

(4) sine . .

, .

2)

12 7 12 , . , 1 .

(1) sine, cosine .

sine , ,

cos , ,

exp ?

3) ? " " " " .

(1)Play[Sin[1000 x 2^(0/12)]^2 , {x, 0, 2}];

(2) exp(x) (0

/ColorImageDict > /JPEG2000ColorACSImageDict > /JPEG2000ColorImageDict > /AntiAliasGrayImages false /DownsampleGrayImages true /GrayImageDownsampleType /Bicubic /GrayImageResolution 300 /GrayImageDepth -1 /GrayImageDownsampleThreshold 1.50000 /EncodeGrayImages true /GrayImageFilter /DCTEncode /AutoFilterGrayImages true /GrayImageAutoFilterStrategy /JPEG /GrayACSImageDict > /GrayImageDict > /JPEG2000GrayACSImageDict > /JPEG2000GrayImageDict > /AntiAliasMonoImages false /DownsampleMonoImages true /MonoImageDownsampleType /Bicubic /MonoImageResolution 1200 /MonoImageDepth -1 /MonoImageDownsampleThreshold 1.50000 /EncodeMonoImages true /MonoImageFilter /CCITTFaxEncode /MonoImageDict > /AllowPSXObjects false /PDFX1aCheck false /PDFX3Check false /PDFXCompliantPDFOnly false /PDFXNoTrimBoxError true /PDFXTrimBoxToMediaBoxOffset [ 0.00000 0.00000 0.00000 0.00000 ] /PDFXSetBleedBoxToMediaBox true /PDFXBleedBoxToTrimBoxOffset [ 0.00000 0.00000 0.00000 0.00000 ] /PDFXOutputIntentProfile () /PDFXOutputCondition () /PDFXRegistryName (http://www.color.org) /PDFXTrapped /Unknown

/Description >>> setdistillerparams> setpagedevice

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1분과-8일_고_mathmatica(김영미)