Applets:Periodendauer periodischer Signale: Unterschied zwischen den Versionen

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Zeile 9: Zeile 9:
 
     <meta charset="utf-8" />
 
     <meta charset="utf-8" />
 
     <script type="text/javascript" src="https://cdnjs.cloudflare.com/ajax/libs/jsxgraph/0.99.6/jsxgraphcore.js"></script>
 
     <script type="text/javascript" src="https://cdnjs.cloudflare.com/ajax/libs/jsxgraph/0.99.6/jsxgraphcore.js"></script>
 +
    <!-- <script type="text/javascript" src="https://www.lntwww.de/MathJax/unpacked/MathJax.js?config=TeX-AMS-MML_HTMLorMML-full,local/mwMathJaxConfig"></script> -->
 
     <style>
 
     <style>
 
         .button {
 
         .button {
Zeile 49: Zeile 50:
 
<table>
 
<table>
 
     <tr>
 
     <tr>
         <td>\(x(t)\)= <span id="x(t)"></span> </td>
+
         <td>$x(t)$=     <span id="x(t)"></span>     </td>
         <td>\(x(t+ T_0)\)= <span id="x(t+T_0)"></span> </td>
+
         <td>$x(t+ T_0)$=<span id="x(t+T_0)"></span> </td>
         <td>\(x(t+2T_0)\)= <span id="x(t+2T_0)"></span></td>
+
         <td>$x(t+2T_0)$=<span id="x(t+2T_0)"></span></td>
 
     </tr>
 
     </tr>
 
     <tr>
 
     <tr>
         <td>\(x_{\text{max}}\)=<span id="x_max"></span></td>
+
         <td>$x_{\text{max}}$=<span id="x_max"></span></td>
         <td>\(T_0\)= <span id="T_0"></span> </td>
+
         <td>$T_0$=           <span id="T_0"></span> </td>
 
     </tr>
 
     </tr>
 
</table>
 
</table>
Zeile 77: Zeile 78:
 
     // Einstellungen der Achsen
 
     // Einstellungen der Achsen
 
     xaxis = pltBox.create('axis', [[0, 0], [1, 0]], {
 
     xaxis = pltBox.create('axis', [[0, 0], [1, 0]], {
         name: '\\(\\dfrac{t}{T}\\)',
+
         name: '$\\dfrac{t}{T}$',
 
         withLabel: true, label: { position: 'rt', offset: [-25, -10] }
 
         withLabel: true, label: { position: 'rt', offset: [-25, -10] }
 
     });
 
     });
 
     yaxis = pltBox.create('axis', [[0, 0], [0, 1]], {
 
     yaxis = pltBox.create('axis', [[0, 0], [0, 1]], {
         name: '\\(x(t)\\)',
+
         name: '$x(t)$',
 
         withLabel: true, label: { position: 'rt', offset: [10, -5] }
 
         withLabel: true, label: { position: 'rt', offset: [10, -5] }
 
     });
 
     });
Zeile 87: Zeile 88:
 
     // Erstellen der Schieberegler
 
     // Erstellen der Schieberegler
 
     a = cnfBox.create('slider', [ [-0.7, 1.5], [3, 1.5], [0, 0.5, 1] ], {
 
     a = cnfBox.create('slider', [ [-0.7, 1.5], [3, 1.5], [0, 0.5, 1] ], {
         suffixlabel: '\\(A_1=\\)',
+
         suffixlabel: '$A_1=$',
 
         unitLabel: 'V', snapWidth: 0.01
 
         unitLabel: 'V', snapWidth: 0.01
 
         }),
 
         }),
 
     b = cnfBox.create('slider', [ [-0.7, 0.5], [3, 0.5], [0, 1, 10] ], {
 
     b = cnfBox.create('slider', [ [-0.7, 0.5], [3, 0.5], [0, 1, 10] ], {
         suffixlabel: '\\(f_1=\\)',
+
         suffixlabel: '$f_1=$',
 
         unitLabel: 'kHz', snapWidth: 0.1
 
         unitLabel: 'kHz', snapWidth: 0.1
 
     }),
 
     }),
 
     c = cnfBox.create('slider', [ [-0.7, -0.5], [3, -0.5], [-180, 0, 180] ], {
 
     c = cnfBox.create('slider', [ [-0.7, -0.5], [3, -0.5], [-180, 0, 180] ], {
         suffixlabel: '\\(\\phi_1=\\)',
+
         suffixlabel: '$\\phi_1=$',
 
         unitLabel: 'Grad', snapWidth: 5
 
         unitLabel: 'Grad', snapWidth: 5
 
     }),
 
     }),
 
     d = cnfBox.create('slider', [ [6, 1.5], [9.7, 1.5], [0, 0.5, 1] ], {
 
     d = cnfBox.create('slider', [ [6, 1.5], [9.7, 1.5], [0, 0.5, 1] ], {
         suffixlabel: '\\(A_2=\\)',
+
         suffixlabel: '$A_2=$',
 
         unitLabel: 'V', snapWidth: 0.01
 
         unitLabel: 'V', snapWidth: 0.01
 
     }),
 
     }),
 
     e = cnfBox.create('slider', [ [6, 0.5], [9.7, 0.5], [0, 2, 10] ], {
 
     e = cnfBox.create('slider', [ [6, 0.5], [9.7, 0.5], [0, 2, 10] ], {
         suffixlabel: '\\(f_2=\\)',
+
         suffixlabel: '$f_2=$',
 
         unitLabel: 'kHz', snapWidth: 0.1
 
         unitLabel: 'kHz', snapWidth: 0.1
 
     }),
 
     }),
 
     g = cnfBox.create('slider', [ [6, -0.5], [9.7, -0.5], [-180, 90, 180] ], {
 
     g = cnfBox.create('slider', [ [6, -0.5], [9.7, -0.5], [-180, 90, 180] ], {
         suffixlabel: '\\(\\phi_2=\\)',
+
         suffixlabel: '$\\phi_2=$',
 
         unitLabel: 'Grad', snapWidth: 5
 
         unitLabel: 'Grad', snapWidth: 5
 
     }),
 
     }),
 
     t = cnfBox.create('slider', [ [-0.7, -1.5], [3, -1.5], [0, 0, 10] ], {
 
     t = cnfBox.create('slider', [ [-0.7, -1.5], [3, -1.5], [0, 0, 10] ], {
         suffixlabel: '\\(t=\\)',
+
         suffixlabel: '$t=$',
 
         unitLabel: 's', snapWidth: 0.2
 
         unitLabel: 's', snapWidth: 0.2
 
     }),
 
     }),

Version vom 12. September 2017, 18:16 Uhr

$x(t) = A_1\cdot cos\Big(2\pi f_1\cdot t- \frac{2\pi}{360}\cdot \phi_1\Big)+A_2\cdot cos\Big(2\pi f_2\cdot t- \frac{2\pi}{360}\cdot \phi_2\Big)$

$x(t)$= $x(t+ T_0)$= $x(t+2T_0)$=
$x_{\text{max}}$= $T_0$=