<?xml version="1.0"?>
<?xml-stylesheet type="text/xsl" href="pmathml.xsl"?>
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  pref:renderer="techexplorer-plugin"
  pref:renderer="techexplorer"
  pref:renderer="css"
  pref:renderer="mathplayer"
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<html xmlns="http://www.w3.org/1999/xhtml">
<head>
  <meta http-equiv="Content-Type" content="text/html" />
  <title>Presentation Examples</title>
</head>



<body>
<h2>Can your browser display MathML?</h2> <!--  ;MathPlayer 2.10b;  -->

<!--    navigator.userAgent.substring(navigator.userAgent.indexOf(";MathPlayer",0),17)  -->

<p>
<script language="javascript">
 document.write(location.host+" "+location.port+" "+location.hash+" "+" "+location.search+" "+location.post);
  //  document.write(navigator.userAgent);
  if(navigator.userAgent.indexOf("MathPlayer",0) > 0)
         document.write(navigator.userAgent.substring(navigator.userAgent.indexOf(";MathPlayer",0),17));
  </script>
</p>

<p> For the implicit equation, </p>

<math xmlns="http://www.w3.org/1998/Math/MathML">
  <mrow>
    <msup>
      <mfenced open="(" close=")">
        <mrow>
          <msup>
           <mi>ax</mi>
           <mn>3</mn>
          </msup>
          <mo>+</mo>
          <msup>
           <mi>bx</mi>
           <mn>2</mn>
          </msup>
          <mo>+</mo>
          <msup>
           <mi>cx</mi>
           <mn>1</mn>
          </msup>
          <mo>+</mo>
          <mi>d</mi>
        </mrow>
      </mfenced>
      <mn>3</mn>
    </msup>
    <mo>=</mo>
    <msup>
      <mfenced open="(" close=")">
        <mrow>
          <msup>
           <mi>b</mi>
           <mn>2</mn>
          </msup>
          <mo>-</mo>
          <mi>4ac</mi>
        </mrow>
      </mfenced>
      <mn>1/2</mn>
    </msup>
  </mrow>
</math>,
<p> numerical methods will be needed. </p> 


<p>Below is an equation with a radical relating to pentagonal symmetry:</p>

<p>
<math xmlns="http://www.w3.org/1998/Math/MathML">
    <msqrt>
      <mrow>
        <mi>3</mi>
      </mrow>
    </msqrt>


    <msqrt>
        <mi>5</mi>
        <mo>-</mo>

      <mi>2</mi>

    <msqrt>
      <mrow>
        <mi>5</mi>
      </mrow>
    </msqrt>
    </msqrt>

</math>


inscribed sphere = 1/circumscribed sphere

<math xmlns="http://www.w3.org/1998/Math/MathML">



   <apply><divide/>


    <msqrt>
        <mi>5</mi>
        <mo>+</mo>

      <mi>2</mi>

    <msqrt>
      <mrow>
        <mi>5</mi>
      </mrow>
    </msqrt>
    </msqrt>

    <mrow>


    <msqrt>
      <mrow>
        <mi>15</mi>
      </mrow>
    </msqrt>

    </mrow>
   </apply>





</math>


</p>



<!--
x=(a*(F**y-1)/F**y)/((c+d*y)/(1+(c+d*(F**y-1)/g*b))-b/F**y)
    -->

<math xmlns="http://www.w3.org/1998/Math/MathML">
  <mrow>
    <msup>
      <mfenced open="(" close=")">
        <mrow>
          <msup>
           <mi>ax</mi>
           <mn>3</mn>
          </msup>
          <mo>+</mo>
          <msup>
           <mi>bx</mi>
           <mn>2</mn>
          </msup>

          <mo>/</mo>

      <mfenced open="(" close=")">
        <mrow>
          <msup>
           <mi>ax</mi>
           <mn>3</mn>
          </msup>
          <mo>+</mo>
          <msup>
           <mi>bx</mi>
           <mn>2</mn>
          </msup>
        </mrow>
      </mfenced>

        </mrow>
      </mfenced>
      <mn>3</mn>
    </msup>
    <mo>=</mo>
    <msup>
      <mfenced open="(" close=")">
        <mrow>
          <msup>
           <mi>b</mi>
           <mn>2</mn>
          </msup>
          <mo>-</mo>
          <mi>4ac</mi>
        </mrow>
      </mfenced>
      <mn>1/2</mn>
    </msup>
  </mrow>
</math>


<p>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<mrow>
<mfrac>

 <mrow>
      <!--  <csymbol>&PlusMinus;</csymbol> -->
  <mn> 2 </mn>
      <!--     <mo>&InvisibleTimes;</mo>   -->
  <mi> b </mi>
 </mrow>

<!--          <mo>/</mo>    -->

 <mrow>
    <msqrt>
      <mrow>
        <mi>5</mi>
      </mrow>
    </msqrt>
 </mrow>

</mfrac>

   <mo>+</mo>
    <apply><root/><degree><cn>3</cn></degree>
        <cn>5</cn>
    </apply>
   <mo>+</mo>
   <mi>1</mi>



</mrow>
</math>
</p>


<p>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply><divide/>

 <mrow>
    <ci> a </ci>
<apply><divide/>
 <mrow>
    <apply><power/>
    <ci> e </ci>
    <cn> -y </cn>
    </apply>
   <mo>-</mo>
   <mi>1</mi>
 </mrow>

 <mrow>

     <apply><power/>
     <ci> e </ci>
     <ci> -y </ci>
     </apply>

 </mrow>

</apply>
 </mrow>



 <mrow>

<apply><divide/>
 <mrow>
   <mi>c</mi>
   <mo>+</mo>
   <mi>d</mi>
   <mi>y</mi>
 </mrow>

 <mrow>

   <mi>1</mi>
   <mo>+</mo>
   <mi>c</mi>
   <mo>/</mo>
   <mi>b</mi>
   <mo>-</mo>



   <mi>d</mi>
<apply><divide/>
 <mrow>
     <apply><power/>
     <ci> e </ci>
     <ci> -y </ci>
     </apply>
   <mo>-</mo>
   <mi>1</mi>
 </mrow>

 <mrow>

   <mi>g</mi>
   <mi>b</mi>
 </mrow>

</apply>





 </mrow>
</apply>


     <mo>+</mo>


   <apply><divide/>
     <mi>1</mi>
    <mrow>

     <apply><power/>
     <ci> e </ci>
     <ci> -y </ci>
     </apply>


    </mrow>
   </apply>



 </mrow>

</apply>



</math>
</p>



<p>If your browser displays those equations correctly, it is enabled to
display Design Science, Presentation, MathPlayer, ... MathML.</p> 

<a href="http://www.w3.org/Math/XSL/pmathml2.xml"> the original </a>

<p>METHODS TO WRITE PORTABLE and PRESENTABLE EQUATIONS WITHOUT BITMAPS or PROPRIETARY TOOLS
</p>------------------- -----------------------------------------------------------
   --------------------- ---------<p></p>
<a href="links.html"> references </a> and tests
<a href="http://math.chapman.edu/~jipsen/mathml/asciimathandmathmlsvg.xhtml"> MathML,ASCIIMathML,SVG together </a>
<a href="http://www.echoofeden.com/htmlTests/xhtml/xhtml_svg_mathml.xhtml"> MathML,SVG together </a>
<a href="http://www.pieperu.de/mathmlgraph/"> further combinations </a>
<a href="http://www.w3.org/Math/DTD/mathml2/xhtml-math11-f.dtd"> in xhtml </a>



<img src="http://www.w3.org/Math/mathmlSmall.png" alt="MathML inside!"/>

</body>
</html>



