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Die auf der ", ButtonBox["www-Seite", ButtonData:>{ URL[ "http://phong.informatik.uni-leipzig.de/~kuska/visuallecture.html"], None}, ButtonStyle->"Hyperlink"], " zur Vorlesung vorhandenen ", StyleBox["Mathematica", FontSlant->"Italic"], " Packages und Notebooks k\[ODoubleDot]nnen ebenfalls verwendet werden.\n\ ", StyleBox["Mathematica", FontSlant->"Italic"], " und MatLab sind im Graphik-Pool (HG 1-19) installiert." }], "Text"] }, Open ]], Cell[CellGroupData[{ Cell["Aufgaben", "Section"], Cell[TextData[{ "1) Man stelle die Riemann-Fl\[ADoubleDot]che ", Cell[BoxData[ \(TraditionalForm\`f(z) = \@\(z\^3 - 1\)\)]], " dar." }], "ExerciseText"], Cell[TextData[{ "2) Man zeichen die Fl\[ADoubleDot]chen ", Cell[BoxData[ \(TraditionalForm\`0 = Cos(x/\((x\^2 + y\^2 + z\^2)\)) + Cos(y/\((x\^2 + y\^2 + z\^2)\)) + Cos(z/\((x\^2 + y\^2 + z\^2)\))\)]], " f\[UDoubleDot]r ", Cell[BoxData[ \(TraditionalForm\`x, y \[Element] \([\(-1\)/2, 1/2]\)\)]], ", ", Cell[BoxData[ \(TraditionalForm\`z \[Element] \([\(-1\)/2, 0]\)\)]], "." }], "ExerciseText"], Cell[TextData[{ "3) Man zeichen die Fl\[ADoubleDot]chen ", Cell[BoxData[ \(TraditionalForm\`0 = \(-4\) + 8\ \((x\^2 + y\^2 + z\^2)\) - 8\ \((x\^4 + y\^4 + z\^4)\)\)]], " f\[UDoubleDot]r ", Cell[BoxData[ \(TraditionalForm\`x, y, z \[Element] \([\(-1\), 1]\)\)]], " ." }], "ExerciseText"], Cell[TextData[{ "4) Man zeichne die Fl\[ADoubleDot]che ", Cell[BoxData[ FormBox[Cell[TextData[{ Cell[BoxData[ \(TraditionalForm\`x\ \(Sin(x)\) + y\ \(Cos(x)\) - 2\ z\^2\)]], "=0" }]], TraditionalForm]]] }], "ExerciseText"], Cell[TextData[{ "5) Man zeichen die Fl\[ADoubleDot]chen \[CapitalADoubleDot]quipotentialfl\ \[ADoubleDot]chen ", Cell[BoxData[ \(TraditionalForm\`\[Phi] = {\(-1\)/2, \(-1\)/3, 0, 1/3, 1/2}\)]], " eines Dipols mit der positiven Ladung ", Cell[BoxData[ \(TraditionalForm\`q = 1\)]], "bei ", Cell[BoxData[ \(TraditionalForm\`\((1, 0, 0)\)\)]], " und ", Cell[BoxData[ \(TraditionalForm\`q = \(-1\)\)]], "bei ", Cell[BoxData[ \(TraditionalForm\`\((\(-1\), 0, 0)\)\)]], ". 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