Applets:Periodendauer periodischer Signale: Unterschied zwischen den Versionen

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<div id="plotBoxHtml" class="jxgbox" style="width:600px; height:600px; border:1px solid black; margin:170px 20px 0px 0px;"></div>
 
<div id="plotBoxHtml" class="jxgbox" style="width:600px; height:600px; border:1px solid black; margin:170px 20px 0px 0px;"></div>
 
<div id="cnfBoxHtml" class="jxgbox" style="width:600px; height:150px; margin:-760px 20px 0px 0px;"></div>
 
<div id="cnfBoxHtml" class="jxgbox" style="width:600px; height:150px; margin:-760px 20px 0px 0px;"></div>
<div id="outBoxHtml" class="jxgbox" style="width:600px; height:100px; margin:625px 20px 0px 0px;"></div>
+
 
  
 
<script type="text/javascript">
 
<script type="text/javascript">
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plotBox = JXG.JSXGraph.initBoard('plotBoxHtml', {showCopyright:false, axis:false, zoom:{factorX:1.1, factorY:1.1, wheel:true, needshift:true, eps: 0.1}, grid:false, boundingbox: [-0.5, 2.2, 12.4, -2.2]});
 
plotBox = JXG.JSXGraph.initBoard('plotBoxHtml', {showCopyright:false, axis:false, zoom:{factorX:1.1, factorY:1.1, wheel:true, needshift:true, eps: 0.1}, grid:false, boundingbox: [-0.5, 2.2, 12.4, -2.2]});
 
cnfBox = JXG.JSXGraph.initBoard('cnfBoxHtml', {showCopyright:false, showNavigation:false, axis:false, grid:false, zoom:{enabled:false}, pan:{enabled:false}, boundingbox: [-1, 2.2, 12.4, -2.2]});
 
cnfBox = JXG.JSXGraph.initBoard('cnfBoxHtml', {showCopyright:false, showNavigation:false, axis:false, grid:false, zoom:{enabled:false}, pan:{enabled:false}, boundingbox: [-1, 2.2, 12.4, -2.2]});
var outBox = JXG.JSXGraph.initBoard('outBoxHtml', {showCopyright:false, showNavigation:false, axis:false, grid:false, zoom:{enabled:false}, pan:{enabled:false}, boundingbox: [-1, 2.2, 12.4, -2.2]});
 
 
cnfBox.addChild(plotBox);
 
cnfBox.addChild(plotBox);
cnfBox.addChild(outBox);
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//Einstellungen der Achsen
 
//Einstellungen der Achsen
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g = cnfBox.create('slider',[[6,-0.5],[9.7,-0.5],[-180,90,180]], {withLabel:false, withTicks:false, snapWidth:5}),
 
g = cnfBox.create('slider',[[6,-0.5],[9.7,-0.5],[-180,90,180]], {withLabel:false, withTicks:false, snapWidth:5}),
 
t = cnfBox.create('slider',[[-0.7,-1.5],[3,-1.5],[0,0,10]], {withLabel:false, withTicks:false, snapWidth:0.2}),
 
t = cnfBox.create('slider',[[-0.7,-1.5],[3,-1.5],[0,0,10]], {withLabel:false, withTicks:false, snapWidth:0.2}),
 
//Definition der Ausgabefelder
 
texta=cnfBox.create('text',[2.8,1.87, function()
 
  { return '\\[A_1= '+ Math.round(a.Value()*100)/100 +' \\text{ V}\\]';}], {fixed:true, visible:true, fontSize:14});
 
textb=cnfBox.create('text',[2.8,0.87, function()
 
  { return '\\[f_1= '+ Math.round(b.Value()*100)/100 +' \\text{ kHz}\\]';}], {fixed:true, visible:true, fontSize:14});
 
textc=cnfBox.create('text',[2.8,-0.13, function()
 
  { return '\\[\\phi_1= '+ Math.round(c.Value()*100)/100 +' \\text{ Grad}\\]';}], {fixed:true, visible:true, fontSize:14});
 
textd=cnfBox.create('text',[9.5,1.67, function()
 
  { return '\\[A_2= '+ Math.round(d.Value()*100)/100 +' \\text{ V}\\]';}], {fixed:true, visible:true, fontSize:14});
 
texte=cnfBox.create('text',[9.5,0.67, function()
 
  { return '\\[f_2= '+ Math.round(e.Value()*100)/100 +' \\text{ kHz}\\]';}], {fixed:true, visible:true, fontSize:14});
 
textg=cnfBox.create('text',[9.5,-0.33, function()
 
  { return '\\[\\phi_2= '+ Math.round(g.Value()*100)/100 +' \\text{ Grad}\\]';}], {fixed:true, visible:true, fontSize:14});
 
textt=cnfBox.create('text',[2.8,-1.2, function()
 
  { return '\\[t= '+ Math.round(t.Value()*100)/100 +' \\]';}], {fixed:true, visible:true, fontSize:14});
 
 
textergebnis1=outBox.create('text',[-1,1.5, function()
 
  { return '\\[x(t)= '+ Math.round((a.Value()*Math.cos(2*Math.PI*b.Value()*t.Value()-2*Math.PI*c.Value()/360)+d.Value()*Math.cos(2*Math.PI*e.Value()*t.Value()-2*Math.PI*g.Value()/360))*1000)/1000 +' \\]';}], {fixed:true, visible:true, fontSize:14});
 
textergebnis2=outBox.create('text',[1.5,1.5, function()
 
  { return '\\[x(t+T_0)= '+ Math.round((a.Value()*Math.cos(2*Math.PI*b.Value()*(t.Value()+Math.round(getT0() *1000)/1000)-c.Value())+d.Value()*Math.cos(2*Math.PI*e.Value()*(t.Value()+Math.round(getT0() *1000)/1000)-g.Value()))*1000)/1000 +' \\]';}], {fixed:true, visible:true, fontSize:14});
 
textergebnis3=outBox.create('text',[5,1.5, function()
 
  { return '\\[x(t+2T_0)= '+ Math.round((a.Value()*Math.cos(2*Math.PI*b.Value()*(t.Value()+2*Math.round(getT0() *1000)/1000)-c.Value())+d.Value()*Math.cos(2*Math.PI*e.Value()*(t.Value()+2*Math.round(getT0() *1000)/1000)-g.Value()))*1000)/1000 +' \\]';}], {fixed:true, visible:true, fontSize:14});
 
textergebnis4=outBox.create('text',[8.5,1.5, function()
 
{var x = new Array(50000);
 
for (var i = 0; i < 50001; i++) {x[i] = Math.round((a.Value()*Math.cos(2*Math.PI*b.Value()*(i/1000)-2*Math.PI*c.Value()/360)+d.Value()*Math.cos(2*Math.PI*e.Value()*(i/1000)-2*Math.PI*g.Value()/360)) *1000)/1000;};
 
return '\\[x_{max}= '+ Math.max.apply(Math,x)+' \\]';}], {fixed:true, visible:true, fontSize:14});
 
textergebnis5=outBox.create('text',[10.8,1.5, function()
 
  { return '\\[T_0= '+ Math.round(getT0() *100)/100 +' \\]';}], {fixed:true, visible:true, strokeColor:'blue', fontSize:14});
 
  
 
//Definition der Funktion
 
//Definition der Funktion

Version vom 18. September 2017, 09:57 Uhr

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