Applets:Periodendauer periodischer Signale: Difference between revisions

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<html>
<html>
<head>
<head>
   <script type="text/javascript" src="http://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://en.lntwww.de/MathJax/unpacked/MathJax.js?config=TeX-AMS-MML_HTMLorMML-full,local/mwMathJaxConfig"></script>
  <script type="text/javascript" src="https://en.lntwww.de/MathJax/unpacked/MathJax.js?config=TeX-AMS-MML_HTMLorMML-full,local/mwMathJaxConfig"></script>
   <style>
   <style>
   .button1{
   .button1{
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     border-radius: 15px;
     border-radius: 15px;
     position:relative;
     position:relative;
     top: 205px;
     top: 100px;
     left: 530px;
     left: 600px;
   }
   }


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     background-color: #939393;}
     background-color: #939393;}


    .formel {
        background-color: #f5f5f5;
        border-radius: 4px ;
        padding: 20px 30px;
        font-family: arial;
        position:absolute;
        top: 250px;
        left: 10px;
    }


   </style>
   </style>
</head>
</head>
<body>
<body>


<form id="myForm">
<form id="myForm">
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<!-- Resetbutton, Checkbox und Formel -->
<!-- Resetbutton, Checkbox und Formel -->
<button class="button1" style="font-size:0.750em" onclick="zurueck()">Reset</button>
<button class="button1" style="font-size:0.750em" onclick="zurueck()">Reset</button>
<p><span class="separate" style="position:absolute; top:180px; left:550px; font-family:arial; font-size:0.750em;">mit Gitter<input name="gridbox" id="gridbox" type="checkbox" onclick="showgrid();" checked="checked"></span></p>
<p><span class="separate" style="position:absolute; top:320px; left:725px; font-family:arial; font-size:0.750em;">mit Gitter<input name="gridbox" id="gridbox" type="checkbox" onclick="showgrid();" checked="checked"></span></p>
<box class="formel">\(x(t)=A_1\cdot cos\Big(2\pi f_1\cdot t- \frac{2\pi}{360}\cdot \phi_1\Big)+A_2\cdot cos\Big(2\pi f_2\cdot t- \frac{2\pi}{360}\cdot \phi_2\Big)\)</box>


<div id="box1" class="jxgbox" style="width:600px; height:600px; border:1px solid black; margin:300px 20px 100px 0px;"></div>
 
<div id="box2" class="jxgbox" style="width:500px; height:200px; border:1px solid white; margin:-1000px 20px 100px 0px;"></div>
<div id="box1" class="jxgbox" style="width:600px; height:600px; border:1px solid black; margin:100px 20px 0px 0px;"></div>
<div id="box3" class="jxgbox" style="width:600px; height:100px; border:1px solid white; margin:700px 20px 100px 0px;"></div>
<div id="box2" class="jxgbox" style="width:600px; height:150px; border:1px solid white; margin:-760px 20px 0px 0px;"></div>
<div id="box3" class="jxgbox" style="width:600px; height:100px; border:1px solid white; margin:625px 20px 0px 0px;"></div>


<script type="text/javascript">
<script type="text/javascript">
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//Definition der Ausgabefelder
//Definition der Ausgabefelder
texta=brd2.create('text',[3.2,1.7, function()
texta=brd2.create('text',[2.8,1.87, function()
   { return '\\[A_1= '+ Math.round(a.Value()*100)/100 +' \\text{ V}\\]';}], {fixed:true, visible:true});
   { return '\\[A_1= '+ Math.round(a.Value()*100)/100 +' \\text{ V}\\]';}], {fixed:true, visible:true, fontSize:14});
textb=brd2.create('text',[3.2,0.7, function()
textb=brd2.create('text',[2.8,0.87, function()
   { return '\\[f_1= '+ Math.round(b.Value()*100)/100 +' \\text{ kHz}\\]';}], {fixed:true, visible:true});
   { return '\\[f_1= '+ Math.round(b.Value()*100)/100 +' \\text{ kHz}\\]';}], {fixed:true, visible:true, fontSize:14});
textc=brd2.create('text',[3.2,-0.3, function()
textc=brd2.create('text',[2.8,-0.13, function()
   { return '\\[\\phi_1= '+ Math.round(c.Value()*100)/100 +' \\text{ Grad}\\]';}], {fixed:true, visible:true});
   { return '\\[\\phi_1= '+ Math.round(c.Value()*100)/100 +' \\text{ Grad}\\]';}], {fixed:true, visible:true, fontSize:14});
textd=brd2.create('text',[9.9,1.57, function()
textd=brd2.create('text',[9.5,1.67, function()
   { return '\\[A_2= '+ Math.round(d.Value()*100)/100 +' \\text{ V}\\]';}], {fixed:true, visible:true});
   { return '\\[A_2= '+ Math.round(d.Value()*100)/100 +' \\text{ V}\\]';}], {fixed:true, visible:true, fontSize:14});
texte=brd2.create('text',[9.9,0.57, function()
texte=brd2.create('text',[9.5,0.67, function()
   { return '\\[f_2= '+ Math.round(e.Value()*100)/100 +' \\text{ kHz}\\]';}], {fixed:true, visible:true});
   { return '\\[f_2= '+ Math.round(e.Value()*100)/100 +' \\text{ kHz}\\]';}], {fixed:true, visible:true, fontSize:14});
textg=brd2.create('text',[9.9,-0.43, function()
textg=brd2.create('text',[9.5,-0.33, function()
   { return '\\[\\phi_2= '+ Math.round(g.Value()*100)/100 +' \\text{ Grad}\\]';}], {fixed:true, visible:true});
   { return '\\[\\phi_2= '+ Math.round(g.Value()*100)/100 +' \\text{ Grad}\\]';}], {fixed:true, visible:true, fontSize:14});
textt=brd2.create('text',[3.2,-1.3, function()
textt=brd2.create('text',[2.8,-1.2, function()
   { return '\\[t= '+ Math.round(t.Value()*100)/100 +' \\]';}], {fixed:true, visible:true});
   { return '\\[t= '+ Math.round(t.Value()*100)/100 +' \\]';}], {fixed:true, visible:true, fontSize:14});


textergebnis1=brd3.create('text',[-0.5,1.5, function()
textergebnis1=brd3.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});
   { 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=brd3.create('text',[1.6,1.5, function()
textergebnis2=brd3.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});
   { 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=brd3.create('text',[4.5,1.5, function()
textergebnis3=brd3.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});
   { 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=brd3.create('text',[7.75,1.5, function()
textergebnis4=brd3.create('text',[8.5,1.5, function()
{var x = new Array(50000);
{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;};
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});
return '\\[x_{max}= '+ Math.max.apply(Math,x)+' \\]';}], {fixed:true, visible:true, fontSize:14});
textergebnis5=brd3.create('text',[10.5,1.5, function()
textergebnis5=brd3.create('text',[10.8,1.5, function()
   { return '\\[T_0= '+ Math.round(getT0() *100)/100 +' \\]';}], {fixed:true, visible:true, strokeColor:'blue'});
   { return '\\[T_0= '+ Math.round(getT0() *100)/100 +' \\]';}], {fixed:true, visible:true, strokeColor:'blue', fontSize:14});
 


//Definition der Funktion
//Definition der Funktion

Revision as of 17:59, 13 September 2017

mit Gitter