Taschenrechner. Ganzzahlarithmetik N Pi, 500. In[1]:= Out[1]= In[2]:=

Transcription

1 Taschenrechner In[]:=... Out[]=.99 In[]:= NPi, Out[]= Ganzzahlarithmetik In[]:= Out[]= In[]:= Out[]= In[]:= N Out[]=.99 9 In[]:= Out[]= In[]:= Out[]= In[]:= k k N Out[]=.

2 vortrag.nb In[9]:= FactorInteger Out[9]= In[]:= Out[]= In[]:= Out[]= PrimeQ False FactorInteger 9 In[]:= Netprimen : n ; PrimeQn Netprimen : Netprimen In[]:= Netprime Out[]= In[]:= Out[]= PrimeQ True Algebraische Zahlen In[]:= Out[]= In[]:= Out[]=

3 vortrag.nb In[]:= Out[]= In[9]:= Out[9]= Simplify FullSimplify In[]:= y Out[]= In[]:= y Simplify Out[]= In[]:= Sin Π Out[]= In[]:= Sin Π Cos Π Simplify Out[]= In[]:= Sin Π Cos Π FullSimplify Out[]= In[]:= SinΠ Out[]= komplee Zahlen In[]:= Out[]= In[]:= ReEp y Out[]= cos In[]:= In[9]:= Out[9]= Clear, y ReEp y ReImy cos Im Rey

4 vortrag.nb In[]:= Out[]= CompleEpand cosy Rechnen mit Symbolen Polynome und rationale Funktionen In[]:= pol y y Out[]= y y In[]:= Out[]= In[]:= Out[]= Epandpol y 9 y y y y 9 Factorpol y y y y y In[]:= Out[]= In[]:= Out[]= In[]:= Out[]= In[]:= rat Togetherrat Factorrat Factor Out[]= In[]:= Out[]= In[9]:= pol Factor, Modulus Epandpol Out[9]= In[]:= Factor Out[]= In[]:= Out[]= Factor, GaussianIntegers True In[]:= Factor, Etension Out[]=

5 vortrag.nb Lineare Algebra In[]:= In[]:= Hilbertmatrin : Table, j, n, k, n j k H Hilbertmatri 9 Out[]= In[]:= Out[]= In[]:= Out[]= In[]:= In[]:= InverseH DetH Vandermonden : Table j k, j, n, k, n V Vandermonde Out[]=

6 vortrag.nb In[9]:= DetV Out[9]= In[]:= Out[]= FactorDetV Gleichungen In[]:= s Solve, Out[]=, In[]:=. s Out[]=, In[]:= s Solve, Out[]=,, In[]:= Out[]= In[]:= Out[]= s N.99.,.9.,.9. NSolve,.9,.9,.99

7 vortrag.nb In[]:= Plot,,, Out[]=

8 vortrag.nb In[]:= s Solve, Out[]= , , , In[]:= Out[]= s N..,..,.99,.9

9 vortrag.nb 9 In[9]:= s Solve, Out[9]= In[]:= Out[]= Root &,, Root &,, Root &,, Root &,, Root &, s N.,.,.9,.9.,.9. In[]:= Out[]=. sk RootReduce k In[]:= Out[]= Solve y, y,, y, y,, y,, y,, y In[]:= ContourPlot y, y,,,, y,, Out[]= In[]:= Solve y, y,, y Out[]=, y,, y,, y,, y

10 vortrag.nb In[]:= ContourPlot y, y,,,, y,, Out[]= Graphische Darstellungen In[]:= PlotSin, Cos, Tan,,,, PlotStyle RGBColor,,, RGBColor,,, RGBColor,,, PlotRange, Out[]= In[]:= OptionsPlot Out[]= AlignmentPoint Center, AspectRatio, Aes True, AesLabel None, AesOrigin Automatic, Φ AesStyle, Background None, BaselinePosition Automatic, BaseStyle, ClippingStyle None, ColorFunction Automatic, ColorFunctionScaling True, ColorOutput Automatic, ContentSelectable Automatic, DisplayFunction $DisplayFunction, Epilog, Evaluated Automatic, EvaluationMonitor None, Eclusions Automatic, EclusionsStyle None, Filling None, FillingStyle Automatic, FormatType TraditionalForm, Frame False, FrameLabel None, FrameStyle, FrameTicks Automatic, FrameTicksStyle, GridLines None, GridLinesStyle, ImageMargins., ImagePadding All, ImageSize Automatic, LabelStyle, MaRecursion Automatic, Mesh None, MeshFunctions &, MeshShading None, MeshStyle Automatic, Method Automatic, PerformanceGoal $PerformanceGoal, PlotLabel None, PlotPoints Automatic, PlotRange Full, Automatic, PlotRangeClipping True, PlotRangePadding Automatic, PlotRegion Automatic, PlotStyle Automatic, PreserveImageOptions Automatic, Prolog, RegionFunction True &, RotateLabel True, Ticks Automatic, TicksStyle, WorkingPrecision MachinePrecision

11 vortrag.nb In[]:= PlotDA - y,, -, <, y, -, <E Out[]= In[9]:= - PlotD@Sin@Sqrt@ ^ y ^ DD Sqrt@ ^ y ^ D,, -, <, y, -, <, PlotPoints, PlotRange -., <D. Out[9]=.. - -

12 vortrag.nb In[]:= -, <, y, -, <, PlotPoints, PlotRange -, <D.. Out[]= In[]:= ContourPlot@Sin@D Sin@yD,, -, <, y, -, <, ColorFunction Hue, PlotPoints D Out[]= Analysis Ep@D - In[]:=, F LimitB Out[]= Ep@D - In[]:= SeriesB Out[]=,,, <F OI M

13 vortrag.nb Ep In[]:= ableitung Out[]= In[]:= Out[]= ableitung In[]:= eingabe Out[]= In[]:= Ploteingabe,,,. Out[]=.. In[]:= integral eingabe Out[]= tan tan tan log In[9]:= resultat integral Out[9]= Vereinfachung In[]:= Out[]= In[]:= resultat FullSimplify resultat eingabe FullSimplify Out[]=