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0000001219 00000 n
|
||||||
|
0000000861 00000 n
|
||||||
|
0000000891 00000 n
|
||||||
|
0000001438 00000 n
|
||||||
|
0000001130 00000 n
|
||||||
|
0000002252 00000 n
|
||||||
|
trailer
|
||||||
|
<< /Size 15 /Root 1 0 R /Info 2 0 R
|
||||||
@@ -0,0 +1,39 @@
|
|||||||
|
\begin{pspicture}(-0.3,-0.4)(6.6,2.8)
|
||||||
|
|
||||||
|
%\psgrid(0,0)(6.6,2.8)
|
||||||
|
\psline[linecolor=blue, linewidth=0.5pt]{->}(0,0)(4.7,0)
|
||||||
|
|
||||||
|
\psline[linecolor=blue, linewidth=0.5pt]{->}(0,0)(0.7,2)
|
||||||
|
|
||||||
|
\psline[linecolor=blue, linewidth=0.5pt](0.7,2)(5.4,2)
|
||||||
|
|
||||||
|
\psline[linecolor=blue, linewidth=0.5pt](4.7,0)(5.4,2) %, linestyle=dashed
|
||||||
|
|
||||||
|
\psline[linecolor=red, linewidth=0.5pt, linestyle=dashed]{->}(0,0)(1,0.6)
|
||||||
|
|
||||||
|
\psline[linecolor=red, linewidth=0.5pt, linestyle=dashed](1,0.6)(5.7,0.6)
|
||||||
|
|
||||||
|
\psline[linecolor=red, linewidth=0.5pt](4.7,0)(5.7,0.6)
|
||||||
|
|
||||||
|
\psline[linecolor=red, linewidth=0.5pt](5.4,2)(6.4,2.6)
|
||||||
|
|
||||||
|
\psline[linecolor=red, linewidth=0.5pt](5.7,0.6)(6.4,2.6)
|
||||||
|
|
||||||
|
\psline[linecolor=red, linewidth=0.5pt](0.7,2)(1.7,2.6)
|
||||||
|
|
||||||
|
\psline[linecolor=red, linewidth=0.5pt ,linestyle=dashed](1,0.6)(1.7,2.6)
|
||||||
|
|
||||||
|
\psline[linecolor=red, linewidth=0.5pt](1.7,2.6)(6.4,2.6)
|
||||||
|
|
||||||
|
%\rput[c](0.25,1.15){\color{blue}\tiny{+}}
|
||||||
|
|
||||||
|
\rput[c](2.5,-0.25){$\vec{a}$}
|
||||||
|
|
||||||
|
\rput[c](0.15,1.1){$\vec{c}$}
|
||||||
|
|
||||||
|
\rput[c](0.5,0.6){$\vec{b}$}
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
\end{pspicture}
|
||||||
@@ -0,0 +1,85 @@
|
|||||||
|
\psset{xunit=1cm, yunit=1cm}
|
||||||
|
%\psframebox{
|
||||||
|
\begin{pspicture}(-2.5,-2.3)(3,2.0)
|
||||||
|
\SpecialCoor
|
||||||
|
%\psgrid[%griddots=20,
|
||||||
|
%gridlabels=0pt, subgriddiv=10](-2,-1)(1,1.5)
|
||||||
|
|
||||||
|
%\multido{\iX=0+30}{13}{\psline[linecolor=blue](1,1)(0.25cm;\iX)}
|
||||||
|
\psaxes[linewidth=0.5pt,linecolor=red,%ticks=none,
|
||||||
|
ticks=none,
|
||||||
|
labels=none
|
||||||
|
](0,0)(-2,-1)(1,1.5) %Mittelpunkt (linke Seite x,y 3/4 Quad) (rechte Seite x,y)
|
||||||
|
|
||||||
|
\pscircle[linewidth=0.5pt](-1,-0.5){0.25}
|
||||||
|
\pscircle[linewidth=.5pt](0.5,-0.5){0.25}
|
||||||
|
\pscircle[linewidth=.5pt](-1.5,0.5){0.25}
|
||||||
|
\pspolygon[linewidth=0.5pt,linearc=.025,linecolor=darkgray](-1.9,0.1)(-0.1,0.1)(-1.9,1.2)
|
||||||
|
\pspolygon[linewidth=0.5pt,linearc=.025,linecolor=darkgray](-1.9,1.5)(-0.1,1.5) (-0.1,0.4)
|
||||||
|
|
||||||
|
%Grundkreuz vier Einzellinien
|
||||||
|
\psline[linewidth=0.5pt,linecolor=orange](0.5,0.5)(0.5,0.75)
|
||||||
|
\psline[linewidth=0.5pt,linecolor=orange](0.5,0.5)(0.5,0.25)
|
||||||
|
\psline[linewidth=0.5pt,linecolor=orange](0.5,0.5)(0.75,0.5)
|
||||||
|
\psline[linewidth=0.5pt,linecolor=orange](0.5,0.5)(0.25,0.5)
|
||||||
|
%re o
|
||||||
|
\psline[linewidth=0.5pt,linecolor=orange](0.5,0.5)(0.7165,0.625)
|
||||||
|
\psline[linewidth=0.5pt,linecolor=orange](0.5,0.5)(0.625,0.7165)
|
||||||
|
%re u
|
||||||
|
\psline[linewidth=0.5pt,linecolor=orange](0.5,0.5)(0.7165,0.375)
|
||||||
|
\psline[linewidth=0.5pt,linecolor=orange](0.5,0.5)(0.625,0.2835)
|
||||||
|
%li u
|
||||||
|
\psline[linewidth=0.5pt,linecolor=orange](0.5,0.5)(0.2835,0.375)
|
||||||
|
\psline[linewidth=0.5pt,linecolor=orange](0.5,0.5)(0.375,0.2835)
|
||||||
|
%li o
|
||||||
|
\psline[linewidth=0.5pt,linecolor=orange](0.5,0.5)(0.2835,0.625)
|
||||||
|
\psline[linewidth=0.5pt,linecolor=orange](0.5,0.5)(0.375,0.7165)
|
||||||
|
|
||||||
|
%Kreuz links
|
||||||
|
%Grundkreuz vier Einzellinien
|
||||||
|
\psline[linewidth=0.5pt,linecolor=orange](-0.5,1.1)(-0.5,1.35)
|
||||||
|
\psline[linewidth=0.5pt,linecolor=orange](-0.5,1.1)(-0.5,0.85)
|
||||||
|
\psline[linewidth=0.5pt,linecolor=orange](-0.5,1.1)(-0.75,1.1)
|
||||||
|
\psline[linewidth=0.5pt,linecolor=orange](-0.5,1.1)(-0.25,1.1)
|
||||||
|
%re o
|
||||||
|
\psline[linewidth=0.5pt,linecolor=orange](-0.5,1.1)(-0.2835,1.225)
|
||||||
|
\psline[linewidth=0.5pt,linecolor=orange](-0.5,1.1)(-0.375,1.3165)
|
||||||
|
%re u
|
||||||
|
\psline[linewidth=0.5pt,linecolor=orange](-0.5,1.1)(-0.2835,0.975)
|
||||||
|
\psline[linewidth=0.5pt,linecolor=orange](-0.5,1.1)(-0.375,0.8835)
|
||||||
|
%li u
|
||||||
|
\psline[linewidth=0.5pt,linecolor=orange](-0.5,1.1)(-0.7165,0.975)
|
||||||
|
\psline[linewidth=0.5pt,linecolor=orange](-0.5,1.1)(-0.625,0.8835)
|
||||||
|
%li o
|
||||||
|
\psline[linewidth=0.5pt,linecolor=orange](-0.5,1.1)(-0.7165,1.225)
|
||||||
|
\psline[linewidth=0.5pt,linecolor=orange](-0.5,1.1)(-0.625,1.3165)
|
||||||
|
|
||||||
|
\rput[c](-1.8,1.3){\tiny{$b_{11}$}}
|
||||||
|
|
||||||
|
\rput[c](-0.2,0.35){\tiny{$b_{rr}$}}
|
||||||
|
|
||||||
|
\rput[c](-1.5,1.1075){$\cdot$}
|
||||||
|
\rput[c](-1.25,0.95625){$\cdot$}
|
||||||
|
\rput[c](-1,0.805){$\cdot$}
|
||||||
|
\rput[c](-0.75,0.65375){$\cdot$}
|
||||||
|
\rput[c](-0.5,0.5025){$\cdot$}
|
||||||
|
|
||||||
|
%\multido {\ra=.5+1,\ib=1+1}{8}{\rput (\ra ,-.4){\ib }}
|
||||||
|
\pscurve[linewidth=0.5pt]{}(-2,1.7)(-2.2,0.25)(-2,-1.2)
|
||||||
|
\pscurve[linewidth=0.5pt]{}(1,1.7)(1.2,0.25)(1,-1.2)
|
||||||
|
\psbrace[linewidth=0.5pt,ref=lC, nodesepA=1pt](1.3,-1)(1.3,-0.05){}
|
||||||
|
\rput[l](1.7,-0.3){\tiny{Zeile $r+1$}}
|
||||||
|
\rput[l](1.7,-0.55){\tiny{bis $m$\\(falls}}
|
||||||
|
\rput[l](1.7,-0.8){\tiny{$r<m$)}}
|
||||||
|
|
||||||
|
\psbrace[linewidth=0.5pt,ref=lC, nodesepA=1pt](1.3,0.05)(1.3,1.5){\tiny{Zeile $1$ bis $r$}}
|
||||||
|
|
||||||
|
\psbrace[linewidth=0.5pt,ref=cC, nodesepB=-4pt,rot=90](-1.9,-1.1)(-0.05,-1.1){\tiny{Spalte $1$ bis $r$}}
|
||||||
|
|
||||||
|
\psbrace[linewidth=0.5pt,ref=cC, nodesepB=-4pt,rot=90](0.05,-1.1)(1,-1.1){\tiny{Spalte $r+1$}}
|
||||||
|
|
||||||
|
\rput[c](0.5,-1.8){\tiny{bis $n$ (falls}}
|
||||||
|
\rput[c](0.5,-2.0){\tiny{$r<n$)}}
|
||||||
|
|
||||||
|
|
||||||
|
\end{pspicture}%}
|
||||||
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@@ -0,0 +1,27 @@
|
|||||||
|
\psset{xunit=1cm, yunit=1cm}
|
||||||
|
%\psframebox{
|
||||||
|
\begin{pspicture}(-0.7,-0.7)(4.8,2.6)
|
||||||
|
|
||||||
|
%\psgrid[%griddots=20,
|
||||||
|
%gridlabels=0pt, subgriddiv=10](0,0)(3,3)
|
||||||
|
|
||||||
|
\psaxes[Ox=0,Dx=1,Oy=0,Dy=1,linewidth=0.5pt,linecolor=blue, ticks=noticks]{->}(0,0)(-0.2,-0.2)(3,2.2)%Schnittpunkt, x0, y0 x1,y1
|
||||||
|
|
||||||
|
\psline[linecolor=orange]{->}(0,0)(2.5,0.5)
|
||||||
|
\psline[linewidth=0.2pt,linecolor=orange](2.5,-0.2)(2.5,0.5)
|
||||||
|
\psline[linewidth=0.2pt,linecolor=orange](-0.2,0.5)(2.5,0.5)
|
||||||
|
\psline[linecolor=red]{->}(0,0)(0.5,1.5)
|
||||||
|
\psline[linewidth=0.2pt,linecolor=red](-0.2,1.5)(0.5,1.5)
|
||||||
|
\psline[linewidth=0.2pt,linecolor=red](0.5,-0.2)(0.5,1.5)
|
||||||
|
\psline[linecolor=red, linestyle=dashed](2.5,0.5)(3,2)
|
||||||
|
\psline[linecolor=orange,linestyle=dashed](0.5,1.5)(3,2)
|
||||||
|
\rput[l](3.1,1.5){\tiny{Fl\"ache $\left|det\left(A\right)\right|$}}
|
||||||
|
\rput[c](0.5,-0.4){$a_{21}$}
|
||||||
|
\rput[c](2.5,-0.4){$a_{11}$}
|
||||||
|
\rput[c](-0.45,0.5){$a_{12}$}
|
||||||
|
\rput[c](-0.45,1.5){$a_{22}$}
|
||||||
|
\rput[c](3.2,0){$x$}
|
||||||
|
\rput[c](0,2.4){$y$}
|
||||||
|
\pscurve[linewidth=0.5pt]{->}(3.4,1.4)(3.3,1.35)(2.9,1.3)(2.4,1.4)
|
||||||
|
|
||||||
|
\end{pspicture}%}
|
||||||
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@@ -0,0 +1,10 @@
|
|||||||
|
\psset{xunit=1cm, yunit=1cm}
|
||||||
|
\psframebox{
|
||||||
|
\begin{pspicture}(-0.7,-0.7)(5,2.5)
|
||||||
|
|
||||||
|
\psgrid[%griddots=20,gridlabels=0pt, subgriddiv=10](0,0)(3,3)
|
||||||
|
|
||||||
|
\rput[l](0.1,1.5){$U=$}
|
||||||
|
|
||||||
|
|
||||||
|
\end{pspicture}}
|
||||||
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@@ -0,0 +1,22 @@
|
|||||||
|
\psset{xunit=1cm, yunit=1cm}
|
||||||
|
%\psframebox{
|
||||||
|
\begin{pspicture}(0,0)(2.4,1.3)
|
||||||
|
|
||||||
|
%\psgrid[%griddots=20,
|
||||||
|
%gridlabels=0pt, subgriddiv=10](0.2,0.2)(2.8,2.8)
|
||||||
|
|
||||||
|
\psline[linecolor=blue, linewidth=0.5pt]{->}(0.3,1.1)(2.1,0.1)
|
||||||
|
\rput[c](0.25,1.15){\color{blue}\tiny{+}}
|
||||||
|
|
||||||
|
\psline[linecolor=red, linewidth=0.5pt]{->}(2.1,1.1)(0.3,0.1)
|
||||||
|
\rput[c](0.25,0.05){\color{red}\tiny{-}}
|
||||||
|
\rput[l](0.1,0.6)
|
||||||
|
{$\left(
|
||||||
|
\begin{array}{cc}
|
||||||
|
a_{11} & a_{12} \\
|
||||||
|
a_{21} & a_{22} \\
|
||||||
|
\end{array}
|
||||||
|
\right)
|
||||||
|
$}
|
||||||
|
|
||||||
|
\end{pspicture}%}
|
||||||
@@ -0,0 +1,19 @@
|
|||||||
|
\begin{pspicture}(-0.1,-0.1)(7.5,1.2)
|
||||||
|
|
||||||
|
%\psgrid(0,0)(7.5, 1.2)
|
||||||
|
|
||||||
|
%\rput[l](0.1,0.8){$\vec a \rnode{a}\times \vec b = \left( {a_2 b_3 - a_3 b_2 ,a_3 b_1 - a_1 b_3 ,a_1 b_2 - a_2 b_1 } \right)$}
|
||||||
|
|
||||||
|
|
||||||
|
\rput[l](0.1,0.8){$b_{ij} = \frac{1}{{\det \left( A \right)}} \cdot \left( { - 1} \right)^{i + j} \cdot \det \left( {A_{\rnode{a}{ji}}} \right) $}
|
||||||
|
|
||||||
|
\rput[l](5.5,0.8){\fbox{Vorsicht!}}
|
||||||
|
|
||||||
|
\rput[l](5.6,0.3){\Rnode[e]{ae}nicht $A_{ij}$}
|
||||||
|
|
||||||
|
%\rput[l](5.5,0.1){"Kreuz"}
|
||||||
|
|
||||||
|
\nccurve[nodesep=1.5pt,linecolor=red,angleA=180,AngleB=240]{->}{ae}{a}
|
||||||
|
%\ncbar[nodesep=1pt]{->}{ae}{a}
|
||||||
|
%\ncline[arrows=->,linecolor=red]{ae}{a}
|
||||||
|
\end{pspicture}
|
||||||
@@ -0,0 +1,18 @@
|
|||||||
|
\begin{pspicture}(-0.1,-0.1)(11,3)
|
||||||
|
|
||||||
|
%\psgrid(0,0)(11, 3)
|
||||||
|
|
||||||
|
\rput[l](0.1,1.2){$x_j = \frac{{\det \left( {\begin{array}{*{20}c}
|
||||||
|
{a_{1,1} } & \cdots & {a_{1,j - 1} } & {\rnode{a}b_1 } & {a_{1,j + 1} } & \cdots & {a_{1,n} } \\
|
||||||
|
\vdots & {} & \vdots & \vdots & \vdots & {} & \vdots \\
|
||||||
|
{a_{n,1} } & \cdots & {a_{n,j - 1} } & {b_n } & {a_{n,j + 1} } & \cdots & {a_{n,n} } \\
|
||||||
|
\end{array}} \right)}}{{\det \left( A \right)}}$}
|
||||||
|
|
||||||
|
|
||||||
|
\rput[l](9,2){''$\vec{b}$ \Rnode[e]{ae}in}
|
||||||
|
\rput[l](9,1.6){Spalte $j$''}
|
||||||
|
|
||||||
|
%\nccurve[angleA=270, AngleB=0]{->}{ae}{a}
|
||||||
|
\ncbar[linecolor=blue, nodesep=3pt, angleA=90, AngleB=90]{->}{ae}{a}
|
||||||
|
%\ncline[arrows=->,linecolor=red]{ae}{a}
|
||||||
|
\end{pspicture}
|
||||||
@@ -0,0 +1,14 @@
|
|||||||
|
\begin{pspicture}(-0.1,-0.1)(2.5,1.5)
|
||||||
|
|
||||||
|
%\psgrid(0,0)(2.5, 1.5)
|
||||||
|
|
||||||
|
\rput[l](0.1,0.2){$\rnode{a}\Rightarrow$}
|
||||||
|
|
||||||
|
|
||||||
|
\rput[l](1.5,1){''\Rnode[e]{ae}folgt''}
|
||||||
|
|
||||||
|
|
||||||
|
%\nccurve[angleA=270, AngleB=0]{->}{ae}{a}
|
||||||
|
%\ncbar[linecolor=blue, nodesep=3pt, angleA=90, AngleB=90]{->}{ae}{a}
|
||||||
|
\ncline[nodesep=3pt, arrows=->,linecolor=red]{ae}{a}
|
||||||
|
\end{pspicture}
|
||||||
@@ -0,0 +1,14 @@
|
|||||||
|
\begin{pspicture}(-0.1,-0.1)(2.5,1.5)
|
||||||
|
|
||||||
|
%\psgrid(0,0)(2.5, 1.5)
|
||||||
|
|
||||||
|
\rput[l](0.1,1){$\rnode{a}\subseteq$}
|
||||||
|
|
||||||
|
|
||||||
|
\rput[l](1,0.2){''Teilm\Rnode[e]{ae}enge''}
|
||||||
|
|
||||||
|
|
||||||
|
%\nccurve[angleA=270, AngleB=0]{->}{ae}{a}
|
||||||
|
%\ncbar[linecolor=blue, nodesep=3pt, angleA=90, AngleB=90]{->}{ae}{a}
|
||||||
|
\ncline[nodesep=3pt, arrows=->,linecolor=red]{ae}{a}
|
||||||
|
\end{pspicture}
|
||||||
@@ -0,0 +1,27 @@
|
|||||||
|
|
||||||
|
\begin{pspicture}(-3.4,0.5)(5.3,-1.5)
|
||||||
|
%\psgrid(-5,0.5)(5, -1.5)
|
||||||
|
%\psset{xunit=0}
|
||||||
|
%\psaxes[linecolor=red,yAxis=false,ticks=none]{<->}(0,0)(-2.7,0)(4.5,0)%
|
||||||
|
\psline[linecolor=red](-2.6,0 )(4.5,0)
|
||||||
|
\psline[linecolor=red,linestyle=dotted](-3.2,0 )(-2.7,0)
|
||||||
|
\psline[linecolor=red,linestyle=dotted](4.5,0 )(5,0)
|
||||||
|
\psline[linecolor=red](0,-1.5mm)(0, 1.5mm)
|
||||||
|
\psline[linecolor=red](1,-1.5mm)(1, 1.5mm)
|
||||||
|
\psline[linecolor=red](4.2,-1.5mm)(4.2, 1.5mm)
|
||||||
|
\psline[linecolor=red](-2.4,-1.5mm)(-2.4, 1.5mm)
|
||||||
|
\rput[c](0,-0.35){\color{red}$0$}
|
||||||
|
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|
|
||||||
|
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|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
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|
|||||||
|
|
||||||
|
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|
||||||
|
%\psgrid(-3,-0.5)(3, 3)
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|
|
||||||
|
\end{pspicture}
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
@@ -0,0 +1,36 @@
|
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|
\psset{xunit=1cm, yunit=1cm}
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|
%\psframebox{
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|
|
||||||
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|
|
||||||
|
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|
|
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|
%\rput(2,4){$y=2\cdot \sin\left(3\cdot x+0.75\right)$}
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|
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|
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|
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%%%%%%%%%%%%%%%%%%%%Koordinaten
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|
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|
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|
|
||||||
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|
||||||
|
|
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%%%%%%%%%%%%%%%%%%%%%%%Vektor a%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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|
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|
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|
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|
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|
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|
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|
|
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|
|
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|
|
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|
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|
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|
|
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|
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|
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|
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|
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|
||||||
|
\rput[c](4.5,3.5){$R_1$}
|
||||||
|
\rput[c](3.5,1.5){$R_2$}
|
||||||
|
\rput[c](6.3,1.5){$U_2$}
|
||||||
|
\rput[c](-0.3,1.5){$U_1$}
|
||||||
|
\psline[linewidth=0.2pt]{o-}(0,3)(1,3)
|
||||||
|
|
||||||
|
\psline[linewidth=0.2pt,arrowsize=1.5mm,arrowlength=1.5,arrowinset=0.3]{->}(0.2,3)(0.6,3)
|
||||||
|
\psline[linewidth=0.2pt,arrowsize=1.5mm,arrowlength=1.5,arrowinset=0.3]{->}(5.8,3)(5.4,3)
|
||||||
|
\psline[linewidth=0.2pt,arrowsize=1.5mm,arrowlength=1.5,arrowinset=0.3]{->}(3,2.8)(3,2.4)
|
||||||
|
\psline[linewidth=0.3pt,linestyle=dashed, arrowsize=1.5mm,arrowlength=1.5,arrowinset=0.3]{->}(0,2.8)(0,0.2)
|
||||||
|
\psline[linewidth=0.3pt,linestyle=dashed, arrowsize=1.5mm,arrowlength=1.5,arrowinset=0.3]{->}(6,2.8)(6,0.2)
|
||||||
|
\psline[linewidth=0.2pt](2,3)(4,3)
|
||||||
|
\psline[linewidth=0.2pt]{-o}(5,3)(6,3)
|
||||||
|
\psline[linewidth=0.2pt]{o-o}(0,0)(6,0)
|
||||||
|
\psline[linewidth=0.2pt](3,0)(3,1)
|
||||||
|
\psline[linewidth=0.2pt](3,2)(3,3)
|
||||||
|
%\pscircle[linewidth=0.2pt](-0.1,3){0.1}
|
||||||
|
%\pscircle[linewidth=0.2pt](6.1,3){0.1}
|
||||||
|
%\pscircle[linewidth=0.2pt](-0.1,0){0.1}
|
||||||
|
%\pscircle[linewidth=0.2pt](6.1,0){0.1}
|
||||||
|
\end{pspicture}%}
|
||||||
|
%%http://sites.inka.de/picasso/latex.html
|
||||||
|
|
||||||
|
|
||||||
|
%ticks=none,labels=none]{->}(
|
||||||
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|
|||||||
|
\psset{xunit=1cm, yunit=1cm}
|
||||||
|
%\psframebox{
|
||||||
|
\begin{pspicture}(-1,-1)(6,6)
|
||||||
|
%\psgrid(0,0)(5,2.5)
|
||||||
|
|
||||||
|
\pspolygon[linewidth=0.4pt,fillstyle=solid](1,1.8)(2,1.8)(2,2.2)(1,2.2)
|
||||||
|
\pspolygon[linewidth=0.4pt,fillstyle=solid](4,1.8)(5,1.8)(5,2.2)(4,2.2)
|
||||||
|
\pspolygon[linewidth=0.4pt,fillstyle=solid](4,1.8)(5,1.8)(5,2.2)(4,2.2)
|
||||||
|
%\rput[c](-1,-0.25){$-e$}
|
||||||
|
%\rput[c](1,-0.25){$e$}
|
||||||
|
%\psline[linecolor=blue,linewidth=0.2pt,linestyle=dashed](-1,0)(-1,1.5)
|
||||||
|
%\psline[linecolor=blue,linewidth=0.2pt,linestyle=dashed](-1,1.5)(1,1.5)
|
||||||
|
%\psline[linecolor=blue,linewidth=0.2pt,linestyle=dashed](1,1.5)(1,0)
|
||||||
|
%\psline(0,0)(4,3)
|
||||||
|
%\psbrace[linecolor=orange,linewidth=0.2pt,ref=lC,nodesepA=5pt](1.1,0)(1.1,1.5){$H$}
|
||||||
|
%\psarc[linecolor=orange](0,1.5){2}{180}{360}
|
||||||
|
%\psbrace[linecolor=green,linewidth=0.2pt,ref=lC,nodesepA=5pt](0.05,0.5)(0.05,1.5){$h$}
|
||||||
|
%\psplot[linecolor=yellow]{0.01}{1}{1 x div}
|
||||||
|
%\rput[c](1.5,-0.1){$x$}
|
||||||
|
%\rput[c](-0.2,1.8){$y$}
|
||||||
|
|
||||||
|
\end{pspicture}%}
|
||||||
|
%%http://sites.inka.de/picasso/latex.html
|
||||||
|
|
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|
|
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|
%ticks=none,labels=none]{->}(
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|
\psset{xunit=1cm, yunit=1cm}
|
||||||
|
%\psframebox{
|
||||||
|
%\begin{pspicture}(-0.5,-0.15)(6.5,3.75)
|
||||||
|
\begin{pspicture}(-0.5,-0.5)(6.5,3.1)
|
||||||
|
%\psgrid(0,0)(7,3.5)
|
||||||
|
|
||||||
|
\pspolygon[linewidth=0.4pt,fillstyle=solid](0.5,-0.2)(1.5,-0.2)(1.5,0.2)(0.5,0.2)
|
||||||
|
\pspolygon[linewidth=0.4pt,fillstyle=solid](4.5,-0.2)(5.5,-0.2)(5.5,0.2)(4.5,0.2)
|
||||||
|
\pspolygon[linewidth=0.4pt,fillstyle=solid](2.8,2)(3.2,2)(3.2,1)(2.8,1)%0.4
|
||||||
|
\rput[c](1,0.5){$R_3$}
|
||||||
|
\rput[c](3.3,0.5){$I_2$}
|
||||||
|
\rput[c](3.7,-0.3){$I_1$}
|
||||||
|
\rput[c](5,0.5){$R_1$}
|
||||||
|
\rput[c](3.5,1.5){$R_2$}
|
||||||
|
\rput[c](6.3,1.5){$U_2$}
|
||||||
|
\rput[c](-0.3,1.5){$U_1$}
|
||||||
|
\rput[c](3,-0.3){$A$}
|
||||||
|
\rput[c](2.3,-0.3){$I_3$}
|
||||||
|
\pscircle[linewidth=0.4pt](4.5,1.5){0.3}
|
||||||
|
\rput[c](4.5,1.5){II}
|
||||||
|
\pscircle[linewidth=0.4pt](1.5,1.5){0.3}
|
||||||
|
\rput[c](1.5,1.5){I}
|
||||||
|
\psline[linewidth=0.2pt,arrowsize=1.5mm,arrowlength=1.5,arrowinset=0.3]{<-}(2.2,0)(2.4,0)
|
||||||
|
\psline[linewidth=0.2pt,arrowsize=1.5mm,arrowlength=1.5,arrowinset=0.3]{<-}(3.6,0)(3.8,0)
|
||||||
|
\psline[linewidth=0.2pt,arrowsize=1.5mm,arrowlength=1.5,arrowinset=0.3]{->}(3,0.6)(3,0.4)
|
||||||
|
\psline[linewidth=0.3pt,linestyle=dashed, arrowsize=1.5mm,arrowlength=1.5,arrowinset=0.3]{->}(0,2.8)(0,0.2)
|
||||||
|
\psline[linewidth=0.3pt,linestyle=dashed, arrowsize=1.5mm,arrowlength=1.5,arrowinset=0.3]{->}(6,2.8)(6,0.2)
|
||||||
|
\psline[linewidth=0.2pt](1.5,0)(4.5,0)
|
||||||
|
\psline[linewidth=0.2pt]{-o}(5.5,0)(6,0)%0.2
|
||||||
|
\psline[linewidth=0.2pt]{o-o}(0,3)(6,3)%0.2
|
||||||
|
\psline[linewidth=0.2pt]{o-}(0,0)(0.5,0)%0.2
|
||||||
|
\psline[linewidth=0.2pt](3,0)(3,1)
|
||||||
|
\psline[linewidth=0.2pt](3,2)(3,3)
|
||||||
|
\pscircle[linewidth=0.2pt,fillstyle=solid, fillcolor=black ](3,0){0.035}
|
||||||
|
\pscircle[linewidth=0.2pt,fillstyle=solid, fillcolor=black ](3,3){0.035}
|
||||||
|
\end{pspicture}%}
|
||||||
|
%%http://sites.inka.de/picasso/latex.html
|
||||||
|
|
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|
|
||||||
|
%ticks=none,labels=none]{->}(
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|
|||||||
|
\psset{xunit=1cm, yunit=1cm}
|
||||||
|
%\psframebox{
|
||||||
|
\begin{pspicture}(1,0.3)(3.3,2.7)
|
||||||
|
%\psgrid(0,0)(5,3)
|
||||||
|
|
||||||
|
\psline[linewidth=0.4pt,linecolor= blue, arrowsize=1.5mm,arrowlength=1.5,arrowinset=0.3, linestyle=dashed]{->}(1.2,2.4)(2.6,0.6)
|
||||||
|
\psline[linewidth=0.4pt,linecolor= blue, arrowsize=1.5mm,arrowlength=1.5,arrowinset=0.3, linestyle=dashed]{->}(1.55,2.4)(2.95,0.6)
|
||||||
|
\psline[linewidth=0.4pt,linecolor= blue, arrowsize=1.5mm,arrowlength=1.5,arrowinset=0.3, linestyle=dashed]{->}(1.9,2.4)(3.3,0.6)
|
||||||
|
\psline[linewidth=0.4pt,linecolor= red, arrowsize=1.5mm,arrowlength=1.5,arrowinset=0.3, linestyle=dashed]{->}(2.5,2.4)(1.2,0.6)
|
||||||
|
\psline[linewidth=0.4pt,linecolor= red, arrowsize=1.5mm,arrowlength=1.5,arrowinset=0.3, linestyle=dashed]{->}(2.85,2.4)(1.55,0.6)
|
||||||
|
\psline[linewidth=0.4pt,linecolor= red, arrowsize=1.5mm,arrowlength=1.5,arrowinset=0.3, linestyle=dashed]{->}(3.2,2.4)(1.9,0.6)
|
||||||
|
\rput[c](1.1,2.5){\color{Blue}+}
|
||||||
|
\rput[c](1.45,2.5){\color{Blue}+}
|
||||||
|
\rput[c](1.8,2.5){\color{Blue}+}
|
||||||
|
\rput[c](1.1,0.5){\color{Red}-}
|
||||||
|
\rput[c](1.45,0.5){\color{Red}-}
|
||||||
|
\rput[c](1.8,0.5){\color{Red}-}
|
||||||
|
|
||||||
|
\rput[c](1.5,1.5){$
|
||||||
|
\left( {\begin{array}{c}
|
||||||
|
\\
|
||||||
|
\\
|
||||||
|
\\
|
||||||
|
\end{array}} \right. $}
|
||||||
|
|
||||||
|
\rput[c](1.5,1.5){$
|
||||||
|
{\begin{array}{c}
|
||||||
|
4 \\
|
||||||
|
3 \\
|
||||||
|
1 \\
|
||||||
|
\end{array}} $}
|
||||||
|
|
||||||
|
\rput[c](1.85,1.5){$
|
||||||
|
\begin{array}{c}
|
||||||
|
6 \\
|
||||||
|
1 \\
|
||||||
|
2 \\
|
||||||
|
\end{array}$}
|
||||||
|
|
||||||
|
\rput[c](2.2,1.5){$
|
||||||
|
{\begin{array}{c}
|
||||||
|
3 \\
|
||||||
|
0 \\
|
||||||
|
1 \\
|
||||||
|
\end{array}} $}
|
||||||
|
|
||||||
|
\rput[c](2.2,1.5){$
|
||||||
|
\left. {\begin{array}{c}
|
||||||
|
\\
|
||||||
|
\\
|
||||||
|
\\
|
||||||
|
\end{array}} \right) $}
|
||||||
|
|
||||||
|
\rput[c](2.55,1.5){$
|
||||||
|
\begin{array}{c}
|
||||||
|
4 \\
|
||||||
|
3 \\
|
||||||
|
1 \\
|
||||||
|
\end{array}$}
|
||||||
|
|
||||||
|
|
||||||
|
\rput[c](2.9,1.5){$
|
||||||
|
\begin{array}{c}
|
||||||
|
6 \\
|
||||||
|
1 \\
|
||||||
|
2 \\
|
||||||
|
\end{array}$}
|
||||||
|
|
||||||
|
\end{pspicture}%}
|
||||||
|
%%http://sites.inka.de/picasso/latex.html
|
||||||
|
|
||||||
|
|
||||||
|
%ticks=none,labels=none]{->}(
|
||||||
@@ -0,0 +1,35 @@
|
|||||||
|
\psset{xunit=1cm, yunit=1cm}
|
||||||
|
\psframebox{
|
||||||
|
\begin{pspicture}(0,0)(5,3)
|
||||||
|
\psgrid(0,0)(5,3)
|
||||||
|
|
||||||
|
\psline[linewidth=0.4pt,linecolor= blue, arrowsize=1.5mm,arrowlength=1.5,arrowinset=0.3]{->}(1.6,2.2)(3.5,0.8)
|
||||||
|
%\psline[linewidth=0.4pt,linecolor= blue, arrowsize=1.5mm,arrowlength=1.5,arrowinset=0.3]{->}(1.5,2.4)(3.5,0.6)
|
||||||
|
%\psline[linewidth=0.4pt,linecolor= blue, arrowsize=1.5mm,arrowlength=1.5,arrowinset=0.3]{->}(2,2.4)(4,0.6)
|
||||||
|
|
||||||
|
\rput[c](1.5,1.5){$
|
||||||
|
\left( {\begin{array}{ccc}
|
||||||
|
4 & 6 & 3 \\
|
||||||
|
3 & 1 & 0 \\
|
||||||
|
1 & 2 & 1 \\
|
||||||
|
\end{array}} \right.$}
|
||||||
|
\rput[c](1.5,1.5){$
|
||||||
|
\left( {\begin{array}{ccc}
|
||||||
|
4 & 6 & 3 \\
|
||||||
|
3 & 1 & 0 \\
|
||||||
|
1 & 2 & 1 \\
|
||||||
|
\end{array}} \right.$}
|
||||||
|
|
||||||
|
|
||||||
|
\rput[c](4,1.5){$
|
||||||
|
\begin{array}{cc}
|
||||||
|
4 & 6 \\
|
||||||
|
3 & 1 \\
|
||||||
|
1 & 2 \\
|
||||||
|
\end{array}$}
|
||||||
|
|
||||||
|
\end{pspicture}}
|
||||||
|
%%http://sites.inka.de/picasso/latex.html
|
||||||
|
|
||||||
|
|
||||||
|
%ticks=none,labels=none]{->}(
|
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|
|||||||
|
\psset{xunit=1cm, yunit=1cm}
|
||||||
|
%\psframebox{
|
||||||
|
\begin{pspicture}(-2.6,-1)(4.4,4)
|
||||||
|
%\psgrid(-3,-1)(4,4)
|
||||||
|
|
||||||
|
\psaxes[Ox=0,Dx=1,Oy=0,Dy=1,linewidth=0.5pt,linecolor=SlateGrey,ticks=noticks]{->}(0,0)(-2.5,-0.8)(3.5,3.5)
|
||||||
|
\psline[linewidth=0.5pt,linestyle=dashed](-2.5,2)(3.5,2)
|
||||||
|
|
||||||
|
\psline[linewidth=0.4pt, linecolor=SlateGrey](1,-0.05)(1,0.05)
|
||||||
|
\psline[linewidth=0.4pt, linecolor=SlateGrey](-0.05,1)(0.05,1)
|
||||||
|
\psline[linewidth=0.4pt, linecolor=SlateGrey](-0.05,3)(0.05,3)
|
||||||
|
\psline[linewidth=2pt, linecolor=Red](0.05,1)(0.05,3)
|
||||||
|
|
||||||
|
\rput[c](-0.2,1){$1$}
|
||||||
|
\rput[c](-0.2,3){$3$}
|
||||||
|
\rput[c](1,-0.3){$1$}
|
||||||
|
|
||||||
|
\rput[c](-0.3,3.7){Im $\hspace{1mm}z$}
|
||||||
|
\rput[l](3.6,0){Re $\hspace{1mm}z$}
|
||||||
|
|
||||||
|
\end{pspicture}%}
|
||||||
|
%%http://sites.inka.de/picasso/latex.html
|
||||||
|
|
||||||
|
|
||||||
|
%ticks=none,labels=none]{->}(
|
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|
|||||||
|
\psset{xunit=1cm, yunit=1cm}
|
||||||
|
%\psframebox{
|
||||||
|
\begin{pspicture}(0.1,0.4)(6.9,5.2)
|
||||||
|
%\psgrid(0,0)(7,5.5)
|
||||||
|
|
||||||
|
|
||||||
|
\rput[lC](0.5,4.6875){Vorgänger gleich $1$ setzen}
|
||||||
|
\rput[lC](0.5,4.0625){Näherung gleich $2$ setzen}
|
||||||
|
\rput[lC](0.5,3.4375){Solange Näherung $\neq$ Vorgänger}
|
||||||
|
\rput[lC](1,2.8125){Vorgänger $=$ Näherung setzen }
|
||||||
|
\rput[lC](1,2.1875){Näherung durch}
|
||||||
|
\rput[lC](1,1.5625){$\frac{\left(\text{Näherung}\right)^2+2}{\text{2. Näherung}}$ ersetzen }
|
||||||
|
\rput[lC](0.5,0.9375){Näherung ausgeben}
|
||||||
|
|
||||||
|
|
||||||
|
\psframe(0.2,0.6)(6.8,5)
|
||||||
|
\psframe(0.2,4.375)(6.8,5)
|
||||||
|
\psframe(0.2,3.75)(6.8,4.375)
|
||||||
|
%\psframe(0.2,3.1)(6.8,3.75)
|
||||||
|
\psframe(0.8,2.475)(6.8,3.1)
|
||||||
|
\psframe(0.8,1.225)(6.8,2.475)
|
||||||
|
\psframe(0.2,0.6)(6.8,1.225)
|
||||||
|
\end{pspicture}%}
|
||||||
|
%%http://sites.inka.de/picasso/latex.html
|
||||||
|
|
||||||
|
|
||||||
|
%ticks=none,labels=none]{->}(
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|
|||||||
|
\psset{xunit=1cm, yunit=1cm}
|
||||||
|
%\psframebox{
|
||||||
|
\begin{pspicture}(0.1,-0.2)(8,5.2)
|
||||||
|
%\psgrid(0,0)(7,5.5)
|
||||||
|
|
||||||
|
|
||||||
|
\rput[lC](0.5,4.6875){Anzahl $n$ der Summanden einlesen}
|
||||||
|
\rput[lC](0.5,4.0625){(ohne Anfangssummand)}
|
||||||
|
\rput[lC](0.5,3.4375){Summand gleich $1$ setzen}
|
||||||
|
\rput[lC](0.5,2.8125){Summe gleich $1$ setzen }
|
||||||
|
\rput[lC](0.5,2.1875){Für $i=1$ bis $n$ }
|
||||||
|
\rput[lC](1,1.5625){Summand durch $\frac{-\text{Summand}}{i}$ ersetzen}
|
||||||
|
\rput[lC](1,0.9375){Summe durch Summe $+$ Summand ersetzen}
|
||||||
|
\rput[lC](0.5,0.3125){Summe ausgeben}
|
||||||
|
|
||||||
|
\psframe(0.2,0)(7.9,5)
|
||||||
|
\psframe(0.2,3.75)(7.9,5)
|
||||||
|
\psframe(0.2,3.125)(7.9,3.75)
|
||||||
|
\psframe(0.2,2.5)(7.9,3.125)
|
||||||
|
\psframe(0.8,1.25)(7.9,1.875)
|
||||||
|
\psframe(0.8,0.625)(7.9,1.25)
|
||||||
|
\psframe(0.2,0.0)(7.9,0.625)
|
||||||
|
\end{pspicture}%}
|
||||||
|
%%http://sites.inka.de/picasso/latex.html
|
||||||
|
|
||||||
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|
||||||
|
%ticks=none,labels=none]{->}(
|
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|
|||||||
|
\psset{xunit=1cm, yunit=1cm}
|
||||||
|
%\psframebox{
|
||||||
|
\begin{pspicture}(-2,-2)(3.2,3.2)
|
||||||
|
%\psgrid[%griddots=20,
|
||||||
|
%gridlabels=0pt, subgriddiv=10](-1.6,-0.5)(1.6,2)
|
||||||
|
\psset{plotpoints=200}
|
||||||
|
\psaxes[linecolor=SlateGrey]{->}(0,0)(-1.9,-1.9)(3,3) %Mittelpunkt (linke Seite x,y 3/4 Quad) (rechte Seite x,y)
|
||||||
|
|
||||||
|
|
||||||
|
\psplot[linecolor=blue]{-1}{1}{x}
|
||||||
|
\psplot[linecolor=red]{1}{2.5}{x 1 sub 2 exp}
|
||||||
|
|
||||||
|
|
||||||
|
%\rput[c](-1,-0.25){$-e$}
|
||||||
|
%\rput[c](1,-0.25){$e$}
|
||||||
|
%\psline[linecolor=blue,linewidth=0.2pt,linestyle=dashed](-1,0)(-1,1.5)
|
||||||
|
%\psline[linecolor=blue,linewidth=0.2pt,linestyle=dashed](-1,1.5)(1,1.5)
|
||||||
|
%\psline[linecolor=blue,linewidth=0.2pt,linestyle=dashed](1,1.5)(1,0)
|
||||||
|
%\psline(0,0)(4,3)
|
||||||
|
%\psbrace[linecolor=orange,linewidth=0.2pt,ref=lC,nodesepA=5pt](1.1,0)(1.1,1.5){$H$}
|
||||||
|
%\psarc[linecolor=orange](0,1.5){2}{180}{360}
|
||||||
|
%\psbrace[linecolor=green,linewidth=0.2pt,ref=lC,nodesepA=5pt](0.05,0.5)(0.05,1.5){$h$}
|
||||||
|
%%\psplot[linecolor=yellow]{0.01}{1}{1 x div}
|
||||||
|
%\rput[c](1.5,-0.1){$x$}
|
||||||
|
%\rput[c](-0.2,1.8){$y$}
|
||||||
|
|
||||||
|
\end{pspicture}%}
|
||||||
|
%%http://sites.inka.de/picasso/latex.html
|
||||||
|
|
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|
%ticks=none,labels=none]{->}(
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\psset{xunit=1cm, yunit=1cm}
|
||||||
|
%\psframebox{
|
||||||
|
\begin{pspicture}(-2.5,-0.8)(2.5,3.6)
|
||||||
|
|
||||||
|
\psset{plotpoints=200}
|
||||||
|
\psaxes[ticks=noticks,linewidth=0.5pt,linecolor=SlateGrey]{->}(0,0)(-2.2,-0.3)(2.2,3.5) %Mittelpunkt (linke Seite x,y 3/4 Quad) (rechte Seite x,y)
|
||||||
|
|
||||||
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|
||||||
|
\psplot[linecolor=blue]{-1.7320508075688772935}{1.7320508075688772935}{3 x x mul sub}
|
||||||
|
\psframe[fillstyle=vlines,linecolor = red, hatchcolor=red](-1,0)(1,2)
|
||||||
|
%\psplot[linecolor=red]{1}{2.5}{x 1 sub 2 exp}
|
||||||
|
|
||||||
|
|
||||||
|
%\rput[c](-1,-0.25){$-e$}
|
||||||
|
%\rput[c](1,-0.25){$e$}
|
||||||
|
\psline[linecolor=SlateGray,linewidth=0.5pt](-1.7320508075688772935,-.1)(-1.7320508075688772935,.1)
|
||||||
|
\psline[linecolor=SlateGray,linewidth=0.5pt](1.7320508075688772935,-.1)(1.7320508075688772935,.1)
|
||||||
|
\psline[linecolor=SlateGray,linewidth=0.5pt](-.1,3)(.1,3)
|
||||||
|
\rput[c](-1.7320508075688772935,-0.3){$-\sqrt 3$}
|
||||||
|
\rput[c](1.7320508075688772935,-0.3){$\sqrt 3$}
|
||||||
|
\rput[c](0.3,3){$3$}
|
||||||
|
|
||||||
|
|
||||||
|
%\psline[linecolor=blue,linewidth=0.2pt,linestyle=dashed](-1,1.5)(1,1.5)
|
||||||
|
%\psline[linecolor=blue,linewidth=0.2pt,linestyle=dashed](1,1.5)(1,0)
|
||||||
|
%\psline(0,0)(4,3)
|
||||||
|
%\psbrace[linecolor=orange,linewidth=0.2pt,ref=lC,nodesepA=5pt](1.1,0)(1.1,1.5){$H$}
|
||||||
|
%\psarc[linecolor=orange](0,1.5){2}{180}{360}
|
||||||
|
%\psbrace[linecolor=green,linewidth=0.2pt,ref=lC,nodesepA=5pt](0.05,0.5)(0.05,1.5){$h$}
|
||||||
|
%%\psplot[linecolor=yellow]{0.01}{1}{1 x div}
|
||||||
|
%\rput[c](1.5,-0.1){$x$}
|
||||||
|
%\rput[c](-0.2,1.8){$y$}
|
||||||
|
|
||||||
|
\end{pspicture}%}
|
||||||
|
%%http://sites.inka.de/picasso/latex.html
|
||||||
|
|
||||||
|
|
||||||
|
%ticks=none,labels=none]{->}(
|
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|
|||||||
|
\psset{xunit=1cm, yunit=1cm}
|
||||||
|
%\psframebox{
|
||||||
|
\begin{pspicture}(-0.5,-0.5)(6.5,3.1)
|
||||||
|
|
||||||
|
\pspolygon[linewidth=0.4pt,fillstyle=solid](1,1.8)(2,1.8)(2,2.2)(1,2.2)
|
||||||
|
\psline[linewidth=0.4pt](2.5,1.7)(2.5,2.3)
|
||||||
|
\psline[linewidth=0.4pt](2.7,1.7)(2.7,2.3)
|
||||||
|
\psline[linewidth=0.2pt](0.5,2)(1,2)
|
||||||
|
\psline[linewidth=0.2pt](2,2)(2.5,2)
|
||||||
|
\psline[linewidth=0.2pt](2.7,2)(3.5,2)
|
||||||
|
\psline[linewidth=0.2pt](3.5,2)(3.5,0.5)
|
||||||
|
\psline[linewidth=0.2pt](0.5,0.5)(0.5,2)
|
||||||
|
|
||||||
|
%\pspolygon[linewidth=0.4pt,fillstyle=solid](4.5,-0.2)(5.5,-0.2)(5.5,0.2)(4.5,0.2)
|
||||||
|
%\pspolygon[linewidth=0.4pt,fillstyle=solid](2.8,2)(3.2,2)(3.2,1)(2.8,1)%0.4
|
||||||
|
\rput[c](1.5,2.5){$R$}
|
||||||
|
\rput[c](2.6,2.5){$C$}
|
||||||
|
\rput[c](0.3,1.25){$i$}
|
||||||
|
%\rput[c](5,0.5){$R_1$}
|
||||||
|
%\rput[c](3.5,1.5){$R_2$}
|
||||||
|
%\rput[c](6.3,1.5){$U_2$}
|
||||||
|
%\rput[c](-0.3,1.5){$U_1$}
|
||||||
|
%\rput[c](3,-0.3){$A$}
|
||||||
|
%\rput[c](2.3,-0.3){$I_3$}
|
||||||
|
%\pscircle[linewidth=0.4pt](4.5,1.5){0.3}
|
||||||
|
%\rput[c](4.5,1.5){II}
|
||||||
|
%\pscircle[linewidth=0.4pt](1.5,1.5){0.3}
|
||||||
|
%\rput[c](1.5,1.5){I}
|
||||||
|
\psline[linewidth=0.2pt,arrowsize=1.5mm,arrowlength=1.5,arrowinset=0.3]{->}(0.5,1.15)(0.5,1.35)
|
||||||
|
%\psline[linewidth=0.2pt,arrowsize=1.5mm,arrowlength=1.5,arrowinset=0.3]{<-}(3.6,0)(3.8,0)
|
||||||
|
%\psline[linewidth=0.2pt,arrowsize=1.5mm,arrowlength=1.5,arrowinset=0.3]{->}(3,0.6)(3,0.4)
|
||||||
|
%\psline[linewidth=0.3pt,linestyle=dashed, arrowsize=1.5mm,arrowlength=1.5,arrowinset=0.3]{->}(0,2.8)(0,0.2)
|
||||||
|
%\psline[linewidth=0.3pt,linestyle=dashed, arrowsize=1.5mm,arrowlength=1.5,arrowinset=0.3]{->}(6,2.8)(6,0.2)
|
||||||
|
%\psline[linewidth=0.2pt](1.5,0)(4.5,0)
|
||||||
|
%\psline[linewidth=0.2pt]{-o}(5.5,0)(6,0)%0.2
|
||||||
|
%\psline[linewidth=0.2pt]{o-o}(0,3)(6,3)%0.2
|
||||||
|
%\psline[linewidth=0.2pt]{o-}(0,0)(0.5,0)%0.2
|
||||||
|
%\psline[linewidth=0.2pt](3,0)(3,1)
|
||||||
|
%\psline[linewidth=0.2pt](3,2)(3,3)
|
||||||
|
%\pscircle[linewidth=0.2pt,fillstyle=solid, fillcolor=black ](3,0){0.035}
|
||||||
|
%\pscircle[linewidth=0.2pt,fillstyle=solid, fillcolor=black ](3,3){0.035}
|
||||||
|
|
||||||
|
\end{pspicture}%}
|
||||||
|
%%http://sites.inka.de/picasso/latex.html
|
||||||
|
|
||||||
|
|
||||||
|
%ticks=none,labels=none]{->}(
|
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|
|||||||
|
\psset{xunit=2cm, yunit=2cm}
|
||||||
|
%\psframebox{
|
||||||
|
\begin{pspicture}(-1.6,-0.5)(1.6,2)
|
||||||
|
%\psgrid[%griddots=20,
|
||||||
|
%gridlabels=0pt, subgriddiv=10](-1.6,-0.5)(1.6,2)
|
||||||
|
\psset{plotpoints=200}
|
||||||
|
\psaxes[linecolor=red,%ticks=none,
|
||||||
|
ticks=x,
|
||||||
|
labels=none
|
||||||
|
]{->}(0,0)(-1.5,-0.1)(1.5,2) %Mittelpunkt (linke Seite x,y 3/4 Quad) (rechte Seite x,y)
|
||||||
|
|
||||||
|
\rput[c](-1,-0.25){$-e$}
|
||||||
|
\rput[c](1,-0.25){$e$}
|
||||||
|
\psline[linecolor=blue,linewidth=0.2pt,linestyle=dashed](-1,0)(-1,1.5)
|
||||||
|
\psline[linecolor=blue,linewidth=0.2pt,linestyle=dashed](-1,1.5)(1,1.5)
|
||||||
|
\psline[linecolor=blue,linewidth=0.2pt,linestyle=dashed](1,1.5)(1,0)
|
||||||
|
%\psline(0,0)(4,3)
|
||||||
|
\psbrace[linecolor=orange,linewidth=0.2pt,ref=lC,nodesepA=5pt](1.1,0)(1.1,1.5){$H$}
|
||||||
|
\psarc[linecolor=orange](0,1.5){2}{180}{360}
|
||||||
|
\psbrace[linecolor=green,linewidth=0.2pt,ref=lC,nodesepA=5pt](0.05,0.5)(0.05,1.5){$h$}
|
||||||
|
%\psplot[linecolor=yellow]{0.01}{1}{1 x div}
|
||||||
|
\rput[c](1.5,-0.1){$x$}
|
||||||
|
\rput[c](-0.2,1.8){$y$}
|
||||||
|
|
||||||
|
\end{pspicture}%}
|
||||||
|
%%http://sites.inka.de/picasso/latex.html
|
||||||
|
|
||||||
|
|
||||||
|
%ticks=none,labels=none]{->}(
|
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|
|||||||
|
\psset{xunit=1cm, yunit=1cm}
|
||||||
|
%\psframebox{
|
||||||
|
\begin{pspicture}(-0.5,-0.5)(12.5,2.5)
|
||||||
|
%\psgrid(0,0)(12,2)
|
||||||
|
%\begin{pspicture}(0,0)(12, 2)
|
||||||
|
\rput[c](6,1.5){$\vec{e_1}=\left(1,0,\ldots,0\right)$\hspace{5mm}\ldots\hspace{5mm}$\vec{e_i}=\left(0,\ldots,1,\ldots,0\right)$\hspace{5mm}\ldots\hspace{5mm}$\vec{e_n}=\left(0,\ldots,0,1\right)$}
|
||||||
|
%\rput[c](6,1.5){\psframebox{$\cdot$}}
|
||||||
|
%\rput[c](4.3,1.5){\psframebox{$\vec{e_1}=\left(1,0,\ldots,0\right)$\hspace{5mm}\ldots\hspace{5mm}$\vec{e_i}=\left(0,\ldots,1,\ldots,0\right)$\hspace{5mm}\ldots\hspace{5mm}$\vec{e_n}=\left(0,\ldots,0,1\right)$}}
|
||||||
|
%\psline[arrows=->](7.9,0.5)(7.9,1.2)
|
||||||
|
|
||||||
|
\psline[arrowlength=3, arrowinset=0.1, linecolor=red]{->}(6.37,0.5)(6.37,1.3)
|
||||||
|
\rput[c](6.37,0.2){\color{red}{i. Koordinate}}
|
||||||
|
|
||||||
|
%\rput[c](0.5,0.5){.}
|
||||||
|
%\rput[c](12,2){.}
|
||||||
|
|
||||||
|
\end{pspicture}%}
|
||||||
|
%rput center --> Koordianten werden um die x-Koordinate ausgerichtet
|
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|||||||
|
\begin{pspicture}(-0.1,-0.1)(7.5,1.85)
|
||||||
|
|
||||||
|
%\psgrid(0,0)(7.5, 2)
|
||||||
|
|
||||||
|
\rput[l](0.5,1.6){$\vec a \rnode{a}\times \vec b = \left( {a_2 b_3 - a_3 b_2 ,a_3 b_1 - a_1 b_3 ,a_1 b_2 - a_2 b_1 } \right)$}
|
||||||
|
|
||||||
|
|
||||||
|
\rput[l](0.5,0.6){"Kr\Rnode[e]{ae}euz"}
|
||||||
|
\rput[l](0.25,0.1){Kreuzprodukt}
|
||||||
|
|
||||||
|
%\nccurve[angleA=0]{->}{ae}{a}
|
||||||
|
%\ncbar[nodesep=1pt]{->}{ae}{a}
|
||||||
|
\ncline[arrows=->,linecolor=red]{ae}{a}
|
||||||
|
\end{pspicture}
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|||||||
|
\begin{pspicture}(-0.6,-0.8)(5,4)
|
||||||
|
%%%%%%%%%%%%%%%%%%%%Koordinaten
|
||||||
|
\psaxes[Ox=0,Dx=1,Oy=0,Dy=1,linewidth=0.1pt]{->}(0,0)(-0.2,-0.2)(3.5,3.5)%Schnittpunkt, x0, y0 x1,y1
|
||||||
|
%\psgrid(0,0)(4,4)
|
||||||
|
\rput[c](3.8,0){$x$}
|
||||||
|
\rput[c](0,3.8){$y$}
|
||||||
|
|
||||||
|
|
||||||
|
%%%%%%%%%%%%%%%%%%%%%%%Vektor%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||||
|
\psline[linecolor=blue, linewidth=0.5pt]{->}(0,0)(3,3)
|
||||||
|
\rput[c](1.5,2){\color{blue}$\vec{a}$}
|
||||||
|
|
||||||
|
|
||||||
|
%%%%%%%%%%%%%%%%%%%%%%%%%%Hilfslinien%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||||
|
\psline[linecolor=blue,linewidth=0.1pt,linestyle=dashed](3,0)(3,3)
|
||||||
|
\psline[linecolor=blue,linewidth=0.1pt,linestyle=dashed](0,3)(3,3)
|
||||||
|
\rput[c](1.5,-0.6){\color{red}$a_1$}
|
||||||
|
\rput[c](3.7,1.5){\color{magenta}$a_2$}
|
||||||
|
|
||||||
|
%%%%%%%%%%%%%%%%%%%%%%Klammer unten)%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||||
|
\pscurve[linecolor=red]{-}(0,0)(0.1,-0.1)(0.2,-0.15)(0.5, -0.15)(1,-0.15)(1.4,-0.23)(1.5,-0.4)
|
||||||
|
\pscurve[linecolor=red]{-}(1.5,-0.4)(1.6,-0.23)(2, -0.15)(2.5,-0.15)(2.8,-0.15)(2.9, -0.1)(3,0)
|
||||||
|
|
||||||
|
%%%%%%%%%%%%%%%%%%%%%%Klammer rechts %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||||
|
\pscurve[linecolor=magenta]{-}(3,0)(3.1, 0.1)(3.15, 0.2)(3.15, 0.5)(3.15,1)(3.23, 1.4)(3.4, 1.5)
|
||||||
|
\pscurve[linecolor=magenta]{-}(3.4, 1.5)(3.23, 1.6)(3.15, 2)(3.15, 2.5)(3.15, 2.8)(3.1, 2.9)(3,3)
|
||||||
|
|
||||||
|
\psdots(2.75,0.25)
|
||||||
|
\psarc[linecolor=blue]{->}(3,3){2cm}{165}{225}
|
||||||
|
\rput[l](0.5,3.6){\color{blue}\footnotesize{L\"ange $\sqrt{a^{2}_{1}+a^{2}_{2}}$ nach Pythagoras}}
|
||||||
|
\end{pspicture}
|
||||||
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|
|||||||
|
\psset{xunit=1cm, yunit=1cm}
|
||||||
|
%\psframebox{
|
||||||
|
\begin{pspicture}(-0.5,-0.5)(5,2.1)
|
||||||
|
%\psgrid(0,0)(5,2)
|
||||||
|
|
||||||
|
%\begin{pspicture}(0,0)(12, 2)
|
||||||
|
\SpecialCoor
|
||||||
|
%\psline(0,0)(4,3)
|
||||||
|
\psline[linecolor=blue](0,0)(4;30.23)
|
||||||
|
%\psline[linecolor=blue](4;30.23|4.6295690655178304211198499881141,0)
|
||||||
|
\psline[linecolor=blue](0,0)(4.6295690655178304211198499881141,0) %cos \alpha = b/c
|
||||||
|
\psline[linecolor=blue](4.6295690655178304211198499881141,0)(4;30.23)
|
||||||
|
|
||||||
|
\psarc(3.42,2){0.5cm}{210}{305}
|
||||||
|
\psarc(0,0){1cm}{0}{30.23}
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
\uput[r](0.5;20){$\alpha$}
|
||||||
|
\rput[c](3.35,1.7){\Huge{$\cdot$}}
|
||||||
|
\rput[c](2.3,-0.25){c}
|
||||||
|
\rput[c](4.3,1){a}
|
||||||
|
%\psarc(0,0){2.5cm}{19}{71}
|
||||||
|
|
||||||
|
%(2.3308602987736;59.77)
|
||||||
|
%3,9284742244794781932242365314914
|
||||||
|
%(0,0)(6;40)(2;10|6;40)%(4;40|0,0)
|
||||||
|
%(0,0) (5;30.23) %Länge(Radius), Winkel
|
||||||
|
% nächster Winkel wäre 59,77°
|
||||||
|
|
||||||
|
%(!50 cos 4 mul 0)
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
%\rput[c](6,1.5){$\vec{e_1}=\left(1,0,\ldots,0\right)$\hspace{5mm}\ldots\hspace{5mm}$\vec{e_i}=\left(0,\ldots,1,\ldots,0\right)$\hspace{5mm}\ldots\hspace{5mm}$\vec{e_n}=\left(0,\ldots,0,1\right)$}
|
||||||
|
%\rput[c](6,1.5){\psframebox{$\cdot$}}
|
||||||
|
%\rput[c](4.3,1.5){\psframebox{$\vec{e_1}=\left(1,0,\ldots,0\right)$\hspace{5mm}\ldots\hspace{5mm}$\vec{e_i}=\left(0,\ldots,1,\ldots,0\right)$\hspace{5mm}\ldots\hspace{5mm}$\vec{e_n}=\left(0,\ldots,0,1\right)$}}
|
||||||
|
%\psline[arrows=->](7.9,0.5)(7.9,1.2)
|
||||||
|
|
||||||
|
%\psline[arrowlength=3, arrowinset=0.1, linecolor=red]{->}(6.37,0.5)(6.37,1.3)
|
||||||
|
%\rput[c](6.37,0.2){\color{red}{i. Koordinate}}
|
||||||
|
|
||||||
|
%\rput[c](0.5,0.5){.}
|
||||||
|
%\rput[c](12,2){.}
|
||||||
|
|
||||||
|
\end{pspicture}%}
|
||||||
|
%rput center --> Koordianten werden um die x-Koordinate ausgerichtet
|
||||||
@@ -0,0 +1,68 @@
|
|||||||
|
\psset{xunit=1cm, yunit=1cm}
|
||||||
|
|
||||||
|
%\psline[linecolor=lila, linewidth=0.5pt](C)(A)
|
||||||
|
|
||||||
|
%\psframebox{
|
||||||
|
\begin{pspicture}(-0.5,-0.5)(5,2.1)
|
||||||
|
%\psgrid(0,0)(5,2)
|
||||||
|
|
||||||
|
%\begin{pspicture}(0,0)(12, 2)
|
||||||
|
\SpecialCoor
|
||||||
|
|
||||||
|
|
||||||
|
\pscustom[linecolor = blue]{
|
||||||
|
\code{/x1 30.23 cos 4 mul def %x= r*cos phi und y=r*sin phi
|
||||||
|
/y1 30.23 sin 4 mul def
|
||||||
|
%/r 30.23 sin 30.23 cos div 4 mul def %tan x = sin x /cos x
|
||||||
|
%/x2 90 cos r mul def
|
||||||
|
%/y2 90 sin r mul def
|
||||||
|
/x2 4 30.23 cos div def
|
||||||
|
}
|
||||||
|
\psline(!0 0)(!x1 y1) \closepath
|
||||||
|
\psline(!0 0) (!x2 0)\closepath
|
||||||
|
\psline(!x2 0) (!x1 y1)\closepath}
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
%\psline(0,0)(4,3)
|
||||||
|
|
||||||
|
%\psline[linecolor=blue](4;30.23|4.6295690655178304211198499881141,0)
|
||||||
|
%\psline[linecolor=blue](0,0)(4.6295690655178304211198499881141,0) %cos \alpha = b/c
|
||||||
|
%\psline[linecolor=blue](4.6295690655178304211198499881141,0)(4;30.23)
|
||||||
|
|
||||||
|
\psarc(3.42,2){0.5cm}{210}{305}
|
||||||
|
\psarc(0,0){1cm}{0}{30.23}
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
\uput[r](0.5;20){$\alpha$}
|
||||||
|
\rput[c](3.35,1.7){\Huge{$\cdot$}}
|
||||||
|
\rput[c](2.3,-0.25){c}
|
||||||
|
\rput[c](4.3,1){a}
|
||||||
|
%\psarc(0,0){2.5cm}{19}{71}
|
||||||
|
|
||||||
|
%(2.3308602987736;59.77)
|
||||||
|
%3,9284742244794781932242365314914
|
||||||
|
%(0,0)(6;40)(2;10|6;40)%(4;40|0,0)
|
||||||
|
%(0,0) (5;30.23) %Länge(Radius), Winkel
|
||||||
|
% nächster Winkel wäre 59,77°
|
||||||
|
|
||||||
|
%(!50 cos 4 mul 0)
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
%\rput[c](6,1.5){$\vec{e_1}=\left(1,0,\ldots,0\right)$\hspace{5mm}\ldots\hspace{5mm}$\vec{e_i}=\left(0,\ldots,1,\ldots,0\right)$\hspace{5mm}\ldots\hspace{5mm}$\vec{e_n}=\left(0,\ldots,0,1\right)$}
|
||||||
|
%\rput[c](6,1.5){\psframebox{$\cdot$}}
|
||||||
|
%\rput[c](4.3,1.5){\psframebox{$\vec{e_1}=\left(1,0,\ldots,0\right)$\hspace{5mm}\ldots\hspace{5mm}$\vec{e_i}=\left(0,\ldots,1,\ldots,0\right)$\hspace{5mm}\ldots\hspace{5mm}$\vec{e_n}=\left(0,\ldots,0,1\right)$}}
|
||||||
|
%\psline[arrows=->](7.9,0.5)(7.9,1.2)
|
||||||
|
|
||||||
|
%\psline[arrowlength=3, arrowinset=0.1, linecolor=red]{->}(6.37,0.5)(6.37,1.3)
|
||||||
|
%\rput[c](6.37,0.2){\color{red}{i. Koordinate}}
|
||||||
|
|
||||||
|
%\rput[c](0.5,0.5){.}
|
||||||
|
%\rput[c](12,2){.}
|
||||||
|
|
||||||
|
\end{pspicture}%}
|
||||||
|
%rput center --> Koordianten werden um die x-Koordinate ausgerichtet
|
||||||
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|
|||||||
|
\begin{pspicture}(-4.8,-2.8)(7,4.5)
|
||||||
|
|
||||||
|
%%%%%%%%%%%%Koordinaten%%%%%%%%%%%%%%%%%%
|
||||||
|
\psaxes[Ox=0,Dx=2,Oy=0,Dy=2,linewidth=0.1pt]{->}(0,0)(-4.5,-2.5)(6.3,4)%Schnittpunkt, x0, y0 x1,y1
|
||||||
|
\rput[c](6.5,0){$x$}
|
||||||
|
\rput[c](0,4.2){$y$}
|
||||||
|
|
||||||
|
|
||||||
|
%%%%%%%%%%%%%%Vektor a%%%%%%%%%%%%%%%%%%%%%
|
||||||
|
\psline[linecolor=red, linewidth=1.5pt]{->}(0,0)(2,1)
|
||||||
|
\rput[l](0.8, 0.75){\color{red}$\vec{a}$}
|
||||||
|
|
||||||
|
\psline[linecolor=red,linewidth=0.1pt,linestyle=dashed](2,-0.2)(2,1)
|
||||||
|
\rput[c](2, -0.8){\color{red}$a_1$}
|
||||||
|
|
||||||
|
\psline[linecolor=red,linewidth=0.1pt,linestyle=dashed](-0.1,1)(2,1)
|
||||||
|
\rput[c](-0.4,1){\color{red}$a_2$}
|
||||||
|
|
||||||
|
%%%%%%%%%%%%%%%%%%%%%%%%Vektor * 3 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||||
|
\psline[linecolor=blue,linewidth=0.5pt,linestyle=dashed]{->}(0,0)(6,3)
|
||||||
|
\rput[l](4, 1.7){\color{blue}$3\cdot\vec{a}$}
|
||||||
|
|
||||||
|
\psline[linecolor=blue,linewidth=0.1pt,linestyle=dashed](6,-0.1)(6,3)
|
||||||
|
\rput[c](6, -0.8){\color{blue}$3\cdot a_1$}
|
||||||
|
|
||||||
|
\psline[linecolor=blue,linewidth=0.1pt,linestyle=dashed](-0.1,3)(6,3)
|
||||||
|
\rput[c](-0.6,3){\color{blue}$3\cdot a_2$}
|
||||||
|
|
||||||
|
\rput[l](0.6,4){\color{blue}$k>0$: Strecken/Stauchen um Faktor k}
|
||||||
|
\rput[l](0.6,3.6){\color{blue}\underline{hier: $k=3$}}
|
||||||
|
|
||||||
|
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%Vektor * -2 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||||
|
\psline[linecolor=green,linewidth=0.5pt]{->}(0,0)(-4,-2)
|
||||||
|
|
||||||
|
\psline[linecolor=green,linewidth=0.1pt,linestyle=dashed](-4,0.2)(-4,-2)
|
||||||
|
\rput[c](-4, 0.4){\color{green}$-2\cdot a_1$}
|
||||||
|
|
||||||
|
\psline[linecolor=green,linewidth=0.1pt,linestyle=dashed](0.2,-2)(-4,-2)
|
||||||
|
\rput[c](0.8, -2){\color{green}$-2\cdot a_2$}
|
||||||
|
|
||||||
|
|
||||||
|
\rput[l](-4.2,2.3){\color{green}$k<0$: Richtung \"andern}
|
||||||
|
\rput[l](-4.2,1.9){\color{green}und Strecken/Stauchen}
|
||||||
|
\rput[l](-4.2,1.5){\color{green}um Faktor $-k$}
|
||||||
|
\rput[l](-4.2,1.1){\color{green}\underline{hier: $-k=2$}}
|
||||||
|
|
||||||
|
\end{pspicture}
|
||||||
|
|
||||||
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@@ -0,0 +1,24 @@
|
|||||||
|
\begin{pspicture}(-0.5,-0.8)(4.2,4)
|
||||||
|
%%%%%%%%%%%%%%%%%%%%Koordinaten
|
||||||
|
\psaxes[Ox=0,Dx=1,Oy=0,Dy=1,linewidth=0.1pt]{->}(0,0)(-0.2,-0.2)(3.5,3.5)%Schnittpunkt, x0, y0 x1,y1
|
||||||
|
%\psgrid(0,0)(4,4)
|
||||||
|
\rput[c](3.8,0){$x$}
|
||||||
|
\rput[c](0,3.8){$y$}
|
||||||
|
|
||||||
|
|
||||||
|
%%%%%%%%%%%%%%%%%%%%%%%Vektor%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||||
|
\psline[linecolor=blue, linewidth=0.5pt]{->}(0,0)(1,3)
|
||||||
|
|
||||||
|
|
||||||
|
\psline[linecolor=red, linewidth=0.5pt]{->}(0,0)(3,1)
|
||||||
|
|
||||||
|
|
||||||
|
\psarc(0,0){2.5cm}{19}{71}
|
||||||
|
\rput[l](0.35, 0.75){$\alpha\left(\vec{a}, \vec{b}\right)$}
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
\rput[l](3.2, 1){\color{red}$\vec{a}$}
|
||||||
|
|
||||||
|
\rput[l](1, 3.2){\color{blue}$\vec{b}$}
|
||||||
|
\end{pspicture}
|
||||||
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@@ -0,0 +1,41 @@
|
|||||||
|
\begin{pspicture}(-4.5,-1.5)(6,4.5) %x1, y1 x2, y2
|
||||||
|
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%Koor%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||||
|
\psaxes[Ox=0,Dx=2,Oy=0,Dy=2,linewidth=0.1pt]{->}(0,0)(-4,-1)(5.5,4)%Schnittpunkt, x0, y0 x1,y1
|
||||||
|
\rput[l](5.8,0){$x$}
|
||||||
|
\rput[l](0,4.2){$y$}
|
||||||
|
|
||||||
|
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%Vektor a%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||||
|
\psline[linecolor=red, linewidth=0.5pt]{->}(0,0)(2,3)
|
||||||
|
\rput[l](1.5, 2){\color{red}$\vec{a}$}
|
||||||
|
|
||||||
|
\psline[linecolor=red,linewidth=0.1pt,linestyle=dashed](2,-0.2)(2,3)
|
||||||
|
\rput[1](2.0,-0.7){\color{red}{$a_1$}} %%a1
|
||||||
|
|
||||||
|
\psline[linecolor=red,linewidth=0.1pt,linestyle=dashed](-0.2,3)(2,3)
|
||||||
|
\rput[1](-0.4,3){\color{red}{$a_2$}} %%a2
|
||||||
|
|
||||||
|
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%Vektor b%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||||
|
\psline[linecolor=green, linewidth=0.5pt]{->}(0,0)(5,1)
|
||||||
|
\rput[l](4, 0.55){\color{green}$\vec{b}$}
|
||||||
|
|
||||||
|
\psline[linecolor=green,linewidth=0.1pt,linestyle=dashed](5,-0.2)(5,1)
|
||||||
|
\rput[1](5,-0.4){\color{green}{$b_1$}} %%b1
|
||||||
|
|
||||||
|
\psline[linecolor=green,linewidth=0.1pt,linestyle=dashed](-0.2,1)(5,1)
|
||||||
|
\rput[1](-0.4,1){\color{green}{$b_2$}} %%b2
|
||||||
|
|
||||||
|
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%Berechnungslinien%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||||
|
\psline[linecolor=green, linewidth=0.7pt, linestyle=dashed]{->}(2,3)(-3,2)
|
||||||
|
\psline[linecolor=blue,linewidth=0.7pt,linestyle=dashed](5,1)(2,3)
|
||||||
|
|
||||||
|
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%Vektor a-b%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||||
|
\psline[linecolor=blue, linewidth=1pt]{->}(0,0)(-3,2)
|
||||||
|
\rput[l](-2.5, 0.85){\color{blue}$\vec{a}-\vec{b}$}
|
||||||
|
|
||||||
|
\psline[linecolor=blue,linewidth=0.1pt,linestyle=dashed](-3,-0.2)(-3,2)
|
||||||
|
\rput[1](-3,-0.4){\color{blue}{$a_1-b_1$}}
|
||||||
|
|
||||||
|
\psline[linecolor=blue,linewidth=0.1pt,linestyle=dashed](0.2,2)(-3,2)
|
||||||
|
\rput[1](0.6,2){\color{blue}{$a_2-b_2$}}
|
||||||
|
|
||||||
|
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \end{pspicture}
|
||||||
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|
|||||||
|
\begin{pspicture}(0,-1.16)(5.7,1.16)
|
||||||
|
\definecolor{color118g}{rgb}{1.0,0.0,0.4}
|
||||||
|
\psframe[linewidth=0.02,fillstyle=gradient,gradlines=2000,gradbegin=color118g,gradend=Yellow,gradmidpoint=1.0](5.7,1.16)(0.0,-1.16)
|
||||||
|
\psframe[linewidth=0.04,fillstyle=solid](2.88,0.8)(0.28,-0.04)
|
||||||
|
\psframe[linewidth=0.04,fillstyle=solid](5.44,0.8)(2.84,-0.04)
|
||||||
|
\psframe[linewidth=0.04,fillstyle=solid](5.44,0.0)(0.28,-0.84)
|
||||||
|
\usefont{T1}{ptm}{m}{n}
|
||||||
|
\rput(1.6070312,0.39){0xA0000000}
|
||||||
|
\usefont{T1}{ptm}{m}{n}
|
||||||
|
\rput(4.065469,0.39){x}
|
||||||
|
\usefont{T1}{ptm}{m}{n}
|
||||||
|
\rput(2.8298438,-0.43){24}
|
||||||
|
\end{pspicture}
|
||||||
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@@ -0,0 +1,33 @@
|
|||||||
|
\begin{pspicture}(-1,-1)(4.9,4.9)
|
||||||
|
%\psgrid[griddots=10,gridlabels=0pt, subgriddiv=0]
|
||||||
|
|
||||||
|
%%%%%%%%%%%%%%%%%%%%%%%%Koor%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||||
|
\psaxes[Ox=0,Dx=2,Oy=0,Dy=2,linewidth=0.1pt]{->}(0,0)(0,0)(4.5,4.5)%Schnittpunkt, x0, y0 x1,y1
|
||||||
|
\rput[l](1.7,-0.8){$1.\ Koordinate$}
|
||||||
|
\rput[c](4.8,0){$x$}
|
||||||
|
|
||||||
|
\rput[l](0.4,4){$2.\ Koordinate$}
|
||||||
|
\rput[c](0,4.8){$y$}
|
||||||
|
|
||||||
|
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%Vektor / Gerade%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||||
|
\psline[linecolor=red, linewidth=0.1pt](0,0)(3,3)
|
||||||
|
\rput[c](3.0,-0.3){$a_1$}
|
||||||
|
\rput[c](-0.3,3){$a_2$}
|
||||||
|
|
||||||
|
|
||||||
|
%%%%%%%%%%%%%%%%%%%%%%%%%%%%Hlfslinien%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||||
|
\psline[linecolor=blue, linestyle=dashed, linewidth=0.1pt](3,-0.2)(3,3)
|
||||||
|
\psline[linecolor=blue, linestyle=dashed, linewidth=0.1pt](-0.2,3)(3,3)
|
||||||
|
|
||||||
|
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%Pfeil%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||||
|
\psline{->}(3.5,2.5)(3.1,2.9)
|
||||||
|
|
||||||
|
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%Kreuz %%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||||
|
\psline[linecolor=green] (2.9,3.1)(3.1,2.9)
|
||||||
|
\psline[linecolor=green] (2.9,2.9)(3.1,3.1)
|
||||||
|
|
||||||
|
|
||||||
|
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%Beschriftung am Pfeil %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||||
|
\rput[l](3.3,2.3){Punkt}
|
||||||
|
\rput[l](3.2,1.9){$(a_1, a_2)$}
|
||||||
|
\end{pspicture}
|
||||||
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@@ -0,0 +1,27 @@
|
|||||||
|
\begin{pspicture}(-1,-1)(4.9,4.9)
|
||||||
|
%\psgrid[griddots=10,gridlabels=0pt, subgriddiv=0]
|
||||||
|
|
||||||
|
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%Koordinaten%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||||
|
\psaxes[Ox=0,Dx=2,Oy=0,Dy=2,linewidth=0.1pt]{->}(0,0)(-0.0,-0.0)(4.5,4.5)%Schnittpunkt, x0, y0 x1,y1
|
||||||
|
\rput[c](4.8,0){$x$}
|
||||||
|
\rput[c](0,4.8){$y$}
|
||||||
|
|
||||||
|
|
||||||
|
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%Vektor%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||||
|
\psline[linecolor=red, linewidth=0.1pt]{->}(0,0)(3,3)
|
||||||
|
|
||||||
|
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%Hilfslinien%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||||
|
\psline[linecolor=blue, linestyle=dashed, linewidth=0.1pt](3,-0.2)(3,3)
|
||||||
|
\psline[linecolor=blue, linestyle=dashed, linewidth=0.1pt](-0.2,3)(3,3)
|
||||||
|
\rput[c](3.0,-0.3){$a_1$}
|
||||||
|
\rput[c](-0.3,3){$a_2$}
|
||||||
|
|
||||||
|
%%%%%%%%%%%%%%%%%%%%%%%%%%%Pfeil mit Beschriftung%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||||
|
\psline{->}(3.5,2.5)(3.1,2.9)
|
||||||
|
\rput[l](1.8,2.3){$Vektor\ ("Pfeil")$}
|
||||||
|
\rput[l](2.5,1.9){$\vec{a}$}
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
\end{pspicture}
|
||||||
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@@ -0,0 +1,24 @@
|
|||||||
|
\begin{pspicture}(0,0)(11.56,3.5)
|
||||||
|
\definecolor{color13f}{rgb}{1.0,0.2,0.2}
|
||||||
|
\psframe[linewidth=0.02,fillstyle=gradient,gradlines=2000,gradbegin=Yellow,gradend=color13f,gradmidpoint=1.0](11.56,3.5)(0.0,0.3)
|
||||||
|
\psframe[linewidth=0.04,fillstyle=solid](2.88,3.16)(0.28,2.32)
|
||||||
|
\psframe[linewidth=0.04,fillstyle=solid](5.44,3.16)(2.84,2.32)
|
||||||
|
\psframe[linewidth=0.04,fillstyle=solid](5.44,2.36)(0.28,1.52)
|
||||||
|
\usefont{T1}{ptm}{m}{n}
|
||||||
|
\rput(1.6070312,2.75){0xA0000000}
|
||||||
|
\usefont{T1}{ptm}{m}{n}
|
||||||
|
\rput(4.065469,2.75){x}
|
||||||
|
\usefont{T1}{ptm}{m}{n}
|
||||||
|
\rput(2.8298438,1.93){24}
|
||||||
|
\psframe[linewidth=0.04,fillstyle=solid](8.54,3.16)(5.94,2.32)
|
||||||
|
\psframe[linewidth=0.04,fillstyle=solid](11.1,3.16)(8.54,2.32)
|
||||||
|
\psframe[linewidth=0.04,fillstyle=solid](11.1,2.38)(5.94,1.54)
|
||||||
|
\usefont{T1}{ptm}{m}{n}
|
||||||
|
\rput(8.487031,1.95){0xA0000000}
|
||||||
|
\usefont{T1}{ptm}{m}{n}
|
||||||
|
\rput(9.753437,2.77){z}
|
||||||
|
\usefont{T1}{ptm}{m}{n}
|
||||||
|
\rput(7.2465625,2.75){0xB0320CAD}
|
||||||
|
\psbezier[linewidth=0.04]{<-}(2.76,1.5)(2.76,0.76)(8.56,0.76)(8.56,1.5)
|
||||||
|
\psline[linewidth=0.04cm](3.82,1.1)(3.82,1.1)
|
||||||
|
\end{pspicture}
|
||||||
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Load Diff
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Reference in New Issue
Block a user