layout/mathml/tests/various.xml
author reed@reedloden.com
Tue, 02 Oct 2007 00:39:20 -0700
changeset 6525 07ba6c2d189380f5d0b570d57eda1571459aefdc
parent 1 9b2a99adc05e53cd4010de512f50118594756650
child 32521 ddcadd5761432adf3d5f495792ab096bd4babc5d
permissions -rw-r--r--
Bug 397834 - "Clean up gfx and gfx/src makefiles" [p=xfsunoles@gmail.com (Jonathan Steele) r+sr+a1.9=roc]

<?xml version="1.0"?>
<!-- ***** BEGIN LICENSE BLOCK *****
   - Version: MPL 1.1/GPL 2.0/LGPL 2.1
   -
   - The contents of this file are subject to the Mozilla Public License Version
   - 1.1 (the "License"); you may not use this file except in compliance with
   - the License. You may obtain a copy of the License at
   - http://www.mozilla.org/MPL/
   -
   - Software distributed under the License is distributed on an "AS IS" basis,
   - WITHOUT WARRANTY OF ANY KIND, either express or implied. See the License
   - for the specific language governing rights and limitations under the
   - License.
   -
   - The Original Code is Mozilla MathML Project.
   -
   - The Initial Developer of the Original Code is
   - The University of Queensland.
   - Portions created by the Initial Developer are Copyright (C) 1999
   - the Initial Developer. All Rights Reserved.
   -
   - Contributor(s):
   -  Roger B. Sidje <rbs@maths.uq.edu.au>
   -
   - Alternatively, the contents of this file may be used under the terms of
   - either the GNU General Public License Version 2 or later (the "GPL"), or
   - the GNU Lesser General Public License Version 2.1 or later (the "LGPL"),
   - in which case the provisions of the GPL or the LGPL are applicable instead
   - of those above. If you wish to allow use of your version of this file only
   - under the terms of either the GPL or the LGPL, and not to allow others to
   - use your version of this file under the terms of the MPL, indicate your
   - decision by deleting the provisions above and replace them with the notice
   - and other provisions required by the LGPL or the GPL. If you do not delete
   - the provisions above, a recipient may use your version of this file under
   - the terms of any one of the MPL, the GPL or the LGPL.
   -
   - ***** END LICENSE BLOCK ***** -->
<!DOCTYPE html PUBLIC
  "-//W3C//DTD XHTML 1.1 plus MathML 2.0//EN"
  "http://www.w3.org/TR/MathML2/dtd/xhtml-math11-f.dtd"
[
  <!ENTITY mathml "http://www.w3.org/1998/Math/MathML">
]>
<html xmlns="http://www.w3.org/1999/xhtml">

<head>
<title>Various examples of MathML</title>
<style>
maction {
  background-color: yellow;
}
maction:hover  {
  outline: 1px dotted black;
/*  border: 1px solid black; */
}
maction[actiontype="restyle#background"] {
  background-color: #3C6;
  border: 1px dotted red;
}
maction[actiontype="restyle#zoom"] {
  font-size: 40pt;
}
</style>
</head>
<body>

Click to toggle between expressions, and watch the satus line onmouseover/onmouseout:
<br />

<math mode="display" xmlns="&mathml;">
<maction actiontype="toggle">
  <maction actiontype="statusline#First Expression">
    <mi>statusline#First Expression</mi>
  </maction>

  <maction actiontype="statusline#Second Expression">
    <mi>statusline#Second Expression</mi>
  </maction>


  <maction actiontype="statusline#And so on..">
    <maction actiontype="restyle#background">
      <mi>statusline#And so on...</mi>
    </maction>
  </maction>
</maction>
</math>

<br />
Click the expression below to zoom-in/zoom-out using RESTYLE:
<br />

<math mode="display" xmlns="&mathml;">
<maction actiontype="restyle#zoom">
  <mrow>
    <mi>&pi;</mi> 
    <mo>=</mo>
    <mn>2</mn><mi>i</mi>
    <mo>&InvisibleTimes;</mo>
    <mo>Log</mo>
    <mfrac>
      <mrow><mn>1</mn><mo>-</mo><mi>i</mi></mrow>
      <mrow><mn>1</mn><mo>+</mo><mi>i</mi></mrow>
    </mfrac>
  </mrow>
</maction>
</math>

<br />
Click the expression below to see several definitions of pi:
<br />

<math mode="display" xmlns="&mathml;">
<mrow>
<maction actiontype="toggle">

  <mrow>
    <mi>&pi;</mi> 
    <mo>=</mo>
    <mn>3.14159265358</mn><mo fontweight="bold">...</mo>
  </mrow>

  <mrow>
    <mi>&pi;</mi> 
    <mo>=</mo>
    <mn>2</mn><mi>i</mi>
    <mo>&InvisibleTimes;</mo>
    <mo>Log</mo>
    <mfrac>
      <mrow><mn>1</mn><mo>-</mo><mi>i</mi></mrow>
      <mrow><mn>1</mn><mo>+</mo><mi>i</mi></mrow>
    </mfrac>
  </mrow>

  <mrow>
    <mi>&pi;</mi> 
    <mo>=</mo>
    <mn>2</mn>
    <mphantom><mo>.</mo></mphantom>
    <mfrac>
      <mn>2</mn>
      <msqrt>
        <mn>2</mn>
      </msqrt>
    </mfrac>
    <mphantom><mo>.</mo></mphantom>
    <mfrac>
      <mn>2</mn>
      <msqrt>
        <mn>2</mn> 
        <mo>+</mo> 
        <msqrt>
          <mn>2</mn>
        </msqrt>
      </msqrt>
    </mfrac>
    <mphantom><mo>.</mo></mphantom>
    <mfrac>
      <mn>2</mn>
      <msqrt>
        <mn>2</mn> 
        <mo>+</mo> 
        <msqrt>
          <mn>2</mn> 
          <mo>+</mo> 
          <msqrt>
            <mn>2</mn>
          </msqrt>
        </msqrt>
      </msqrt>
    </mfrac>
    <mo fontweight="bold">...</mo>
  </mrow>

  <mrow>
<mfrac>
    <mi>&pi;</mi>
    <mn>4</mn>
</mfrac>
    <mo>=</mo>
  <mfrac>
     <mstyle scriptlevel="0">
       <mn>1</mn>
     </mstyle>
     <mstyle scriptlevel="0">
        <mrow>
          <mn>2</mn>
          <mo>+</mo>
          <mfrac>
            <mstyle scriptlevel="0">
              <msup><mn>1</mn><mn>2</mn></msup>
            </mstyle>
            <mstyle scriptlevel="0">
               <mrow>
                 <mn>2</mn>
                 <mo>+</mo>
                 <mfrac>
                   <mstyle scriptlevel="0">
                     <msup><mn>3</mn><mn>2</mn></msup>
                   </mstyle>               
                   <mstyle scriptlevel="0">
                     <mrow>
                        <mn>2</mn>
                        <mo>+</mo>
                        <mfrac>
                          <mstyle scriptlevel="0">
                            <msup><mn>5</mn><mn>2</mn></msup>
                          </mstyle>
                          <mstyle scriptlevel="0">
                            <mrow>
                               <mn>2</mn>
                               <mo>+</mo>
                               <mfrac>
                                 <mstyle scriptlevel="0">
                                   <msup><mn>7</mn><mn>2</mn></msup>
                                 </mstyle>
                                 <mstyle scriptlevel="0">
                                   <mn>2</mn><mo>+</mo><mo fontweight="bold">...</mo>
                                 </mstyle>
                               </mfrac>
                             </mrow>
                          </mstyle>
                        </mfrac>
                      </mrow>
                   </mstyle>
                 </mfrac>
               </mrow>
            </mstyle>
          </mfrac>      
        </mrow> 
     </mstyle> 
  </mfrac>  
  </mrow>
</maction>
</mrow>
</math>

<br />

<math xmlns="&mathml;">
<!-- {{} \atop i} A {p \atop q} -->
<mmultiscripts>
    <mi fontweight="bold" fontsize="large">A</mi>
    <mi>q</mi><mi>p</mi>
  <mprescripts/>
    <mi>i</mi><none/>
</mmultiscripts>

<br />

<!-- {3 \atop k} R {1 \atop i} {2 \atop j} -->
<mmultiscripts>
   <mi fontweight="bold">R</mi>
      <mi>i</mi><mi>1</mi>
      <mi>j</mi><mn>230</mn>
      <mi>j</mi><msup><mn>230</mn><mi>y</mi></msup>
      <mi>j</mi><mn>230</mn>
   <mprescripts/>
      <mi>k</mi><mi>3</mi>
      <mi>k</mi><mi>3</mi>
</mmultiscripts>


<!-- \int_a^b f(x)dx -->
<msubsup>
   <mo>&Integral;</mo>
   <mi>a</mi>
   <mi>b</mi>
</msubsup>
<mrow>
    <mi>f</mi>
    <mo>(</mo>
    <mi>x</mi>
    <mo>)</mo>
    <mo>d</mo>
    <mi>x</mi>
</mrow>

<!-- \frac{\partial}{\partial x}F(x,y) + \frac{\partial}{\partial y}F(x,y) -->

<mrow>
   <mfrac>
      <mo>&PartialD;</mo>
      <mrow>
         <mo>&PartialD;</mo>
         <mi>x</mi>
      </mrow>
   </mfrac>

   <mrow>
       <mi>F</mi>
       <mo>(</mo>
       <mi>x</mi>
       <mo>,</mo>
       <mi>y</mi>
       <mo>)</mo>
   </mrow>  

   <mo>+</mo>

   <mfrac>
      <mo>&PartialD;</mo>
      <mrow>
         <mo>&PartialD;</mo>
         <mi>y</mi>
     </mrow>
   </mfrac>

   <mrow>
       <mi>F</mi>
       <mo>(</mo>
       <mi>x</mi>
       <mo>,</mo>
       <mi>y</mi>
       <mo>)</mo>
   </mrow>
</mrow>

   <mo>&Exists;</mo>
   <mi>a</mi> 
 
<!-- a_b -->
<msub>
  <mi>a</mi>
  <mi>b</mi>
</msub>

<!-- a_i -->
<msub>
  <mi>a</mi>
  <mi>i</mi>
</msub>

<!-- A_{I_{k}} -->


<mrow>
    <mi>A</mi>
    <mi>A</mi>
</mrow>

<msub>
  <mi>A</mi>
  <msub>
     <mi>A</mi>
     <msub>
        <mi>A</mi>
        <mi>A</mi>
     </msub>
  </msub>
</msub>

<!-- d^b -->
<msup>
  <mi>d</mi>
  <mi>b</mi>
</msup>

<!-- 2^{a_x} -->
<msup>
  <mn>2</mn>
  <msub>
    <mi>a</mi>
    <mi>x</mi>
  </msub>
</msup>

<!-- 2^{2^x} -->
<msup>
   <msup>
      <mn>2</mn>
      <mn>2</mn>
   </msup>
   <mi>x</mi>
</msup>

<!-- {\left( \frac{1}{2} \right) }^{y^{a_x}} -->

<msup>
  <mrow>
    <mo>(</mo>
    <mfrac>
      <mn>1</mn>
      <mn>2</mn>
    </mfrac>
    <mo>)</mo>
  </mrow>
  <msup>
    <mi>y</mi>
    <msub>
      <mi>a</mi>
      <mi>x</mi>
    </msub>
  </msup>
</msup>


<munder>
  <mi>abcd</mi>
  <mi>un</mi>
</munder>

<mover>
  <mi>abcd</mi>
  <mi>ov</mi>
</mover>
<munderover>
  <mi>abcd</mi>
  <mi>under</mi>
  <mi>over</mi>
</munderover>


<!-- a_b^c -->
<msubsup>
  <mi>a</mi>
  <mi>p</mi>
  <mi>q</mi>
</msubsup>

<!-- a_{b+c}^x -->
<msubsup>
  <mi>a</mi>
  <mrow>
     <mi>a</mi>
     <mo>+</mo>
     <mi>b</mi>
  </mrow>
  <mi>x</mi>
</msubsup>


<!-- d^{ \left( \frac{a}{b} \right) } -->

<msup>
  <mi>d</mi>
  <mrow>
     <mo>(</mo>
     <mfrac>
        <mi>a</mi>
        <mi>b</mi>
     </mfrac>
     <mo>)</mo>
  </mrow>
</msup>


<!-- \frac{d*b^{ \left( \frac{i+j}{n!} \right) } + p_y*q} 
          {p^x*b_x + \frac{a+c}{d}} -->

<mfrac>
   <mrow>
      <mi>d</mi>
      <mo>*</mo>
      <msup>
         <mi>T</mi>
         <mrow>
            <mo>(</mo>
            <mfrac>
               <mrow>
                  <mi>i</mi>
                  <mo>+</mo> 
                  <mi>j</mi>
               </mrow>
               <mi>n</mi>
            </mfrac>
            <mo>)</mo>
         </mrow>
      </msup>
      <mo>+</mo>
      <msub>
         <mi>p</mi>
         <mi>y</mi>
      </msub>
      <mo>*</mo>
      <mi>q</mi>
   </mrow>
   <mrow>
      <msup>
         <mi>p</mi>
         <mi>x</mi>
      </msup>
      <mo>*</mo>
      <msub>
         <mi>b</mi>
         <mi>x</mi>
      </msub>
      <mo>+</mo>
      <mfrac>
         <mrow>
            <mi>a</mi>
            <mo>+</mo>
            <mi>c</mi>
         </mrow>
         <mi>d</mi>
      </mfrac>
   </mrow>
</mfrac>


<ms>This is a text in ms</ms>

<!-- x^2  +  4*x  +  \frac{p}{q} = 0 --> 

<mrow>
   <mrow>
      <msup>
         <mi>x</mi>
         <mn>2</mn>
      </msup>
      <mo>+</mo>
      <mrow>
         <mn>4</mn>
         <mo>*</mo>
         <mi>x</mi>
      </mrow>
      <mo>+</mo>
      <mfrac>
         <mi>p</mi>
         <mi>q</mi>
      </mfrac>
   </mrow>
  <mo>=</mo>
  <mn>0</mn>
</mrow>


<mtext>This is a text in mtext</mtext>
<merror>This is a text in merror</merror>

<mrow>
  <msub>
     <mi>a</mi>
     <mn>0</mn>
  </msub>
  <mo>+</mo>
  <mfrac>
     <mstyle scriptlevel="0">
        <mn>1</mn>
     </mstyle>
     <mstyle scriptlevel="0">
        <mrow>
          <msub>
             <mi>a</mi>
             <mn>1</mn>
          </msub>
          <mo>+</mo>
          <mfrac>
            <mstyle scriptlevel="0">
               <mn>1</mn>
            </mstyle>
            <mstyle scriptlevel="0">
               <mrow>
                 <msub>
                    <mi>a</mi>
                    <mn>2</mn>
                 </msub>
                 <mo>+</mo>
                 <mfrac>
                   <mstyle scriptlevel="0">
                      <mn>1</mn>
                   </mstyle>               
                   <mstyle scriptlevel="0">
                      <msub>
                         <mi>a</mi>
                         <mn>3</mn>
                      </msub>
                   </mstyle>
                 </mfrac>      
               </mrow>
            </mstyle>
          </mfrac>      
        </mrow> 
     </mstyle> 
  </mfrac>  
</mrow>

<mo>;</mo>

<mrow>
   <msub>
      <mi>c</mi>
      <mrow>
         <mi>i</mi><mo>+</mo><mi>j</mi>
      </mrow>
   </msub>
   <mo>&LeftArrow;</mo>
   <mrow>
      <msub><mi>a</mi><mi>i</mi></msub>
      <mo>*</mo>
      <msub><mi>b</mi><mi>j</mi></msub>
   </mrow>
</mrow>

<br />

  <mrow> 
      <msup>
         <mi>e</mi>
         <mrow>
            <mi>i</mi>
            <mo>&pi;</mo>
         </mrow>
      </msup>
      <mo>+</mo>
      <mn>1</mn>
      <mo>=</mo>
      <mn>0</mn>

      <mo>;</mo>
</mrow>

<mrow>
   <mi>G</mi>
   <mo>=</mo>
   <mfrac>
      <mrow>
        <mi>F</mi>        
        <msup><mi>d</mi><mn>2</mn></msup>
      </mrow>
      <mrow>
        <msub><mi>m</mi><mn>1</mn></msub>
        <msub><mi>m</mi><mn>2</mn></msub>
      </mrow>
   </mfrac>
</mrow>

<mo>;</mo>

<mrow>
<mi>t</mi><mo>+=</mo><mi>dt</mi>
</mrow>

<br /> 



<mrow>
      <mi>x</mi>
      <mo>=</mo>
      <mi>a</mi>
      <mo>*</mo>
      <mi>b</mi>
      <mo>+</mo>
      <mrow>
         <mo stretchy="false">(</mo>
            <mfrac linethickness="2">
               <mrow>
                  <mi>aa</mi>
                  <mo>+</mo>
                  <mi>b</mi>
               </mrow>
               <mfrac>
                  <mi>xy</mi>
                  <mi>z</mi>
               </mfrac>
            </mfrac>
         <mo>)</mo>
      </mrow>
</mrow>

<mfrac>
      <mfrac>
         <mi>x</mi>
         <mi>z</mi>
      </mfrac>
      <mstyle scriptlevel="-3">
         <mfrac>
            <mi>dy</mi>
            <mstyle scriptlevel="1">
               <mi>z</mi>
            </mstyle>
         </mfrac>
      </mstyle>
</mfrac>


<mfrac>
      <mstyle scriptlevel="0">
         <mi>x</mi>
      </mstyle>
      <mi>z</mi>
</mfrac>

<mstyle scriptlevel="-4">
         <mi>x</mi>
</mstyle>

</math>

<math xmlns="&mathml;" mode="display">
<mrow>
  <msub>
    <mi>Z</mi>
    <mi>&alpha;</mi>
  </msub>
  <mrow>
    <mo>(</mo>
    <mi>f</mi>
    <mo>)</mo>
  </mrow>
  <mo>=</mo>

  <mfrac>
    <mn>1</mn>
    <mrow>
      <mn>2</mn>
      <mi>i</mi>
      <mo>&ThinSpace;</mo>
      <mi>cos</mi>
      <mo>(</mo>
      <mfrac>
        <mrow>
          <mi>&alpha;</mi>
          <mi>&pi;</mi>
        </mrow>
        <mn>2</mn>
      </mfrac>
      <mo>)</mo>
    </mrow>
  </mfrac>

  <mrow>
    <msub>
      <mo>&int;</mo>
      <mi>C</mi>
    </msub>
    <mfrac>
      <mrow>
        <mi>f</mi>
        <mo stretchy='false'>(</mo>
        <mi>i</mi>
        <mi>z</mi>
        <mo stretchy='false'>)</mo>
        <msup>
          <mrow>
            <mo>(</mo>
            <mo>-</mo>
            <mi>z</mi>
            <mo>)</mo>
          </mrow>
          <mi>&alpha;</mi>
        </msup>
      </mrow>
      <mrow>
        <msup>
          <mi>e</mi>
          <mrow>
            <mn>2</mn>
            <mi>&pi;</mi>
            <mi>z</mi>
          </mrow>
        </msup>
        <mo>-</mo>
        <mn>1</mn>
      </mrow>
    </mfrac>
  </mrow>
  <mi>dz</mi>
</mrow>
</math>

<br />

<br />

And this is from the "Thomson scattering theory"

<math xmlns="&mathml;" mode="display">
<mrow>
  <mtable align='left'>

    <mtr>
      <mtd columnalign='left'>
        <mrow>
          <mfrac>
            <mrow>
              <msup>
                <mi>d</mi>
                <mn>2</mn>
              </msup>
              <mi>P</mi>
            </mrow>

            <mrow>
              <mi>d</mi>
              <msub>
                <mi>&Omega;</mi>
                <mi>s</mi>
              </msub>
              <mo>&ThinSpace;</mo>
              <mi>d</mi>
              <msub>
                <mi>&omega;</mi>
                <mi>s</mi>
              </msub>
            </mrow>
          </mfrac>
        </mrow>
      </mtd>
      
      <mtd columnalign='left'>
        <mrow>
          <mo>=</mo>
        </mrow>
      </mtd>
      
      <mtd columnalign='left'>
        <mrow>
          <msubsup>
            <mi>r</mi>
            <mi>e</mi>
            <mn>2</mn>
          </msubsup>

          <msub>
            <mo>&int;</mo>
            <mi>V</mi>
          </msub>

          <mo lspace='0'>&lt;</mo>
          <msub>
            <mi>S</mi>
            <mi>i</mi>
          </msub>
          <mo>&gt;</mo>

          <msup>
            <mi>d</mi>
            <mn>3</mn>
          </msup>

          <mi fontweight='bold'>r</mi>
          <mo>&int;</mo>

          <msup>
            <mrow>
              <mo lspace='0' rspace='0' symmetric='false'>|</mo>

              <mover accent='true'>
                <mi fontweight='bold'>e</mi>
                <mo>&Hat;</mo>
              </mover>

              <mo>.</mo>
 
              <mover accent='true'>
                <mo>&Pi;</mo>
                <mo>&#x2194;</mo>
              </mover>
 
              <mo>.</mo>

              <mover accent='true'>
                <mi fontweight='bold'>e</mi>
                <mo>&Hat;</mo>
              </mover>
 
              <mo lspace='0' rspace='0' symmetric='false'>|</mo>
            </mrow>
            <mn>2</mn>
          </msup>
          
          <msup>
            <mi>&kappa;</mi>
            <mn>2</mn>
          </msup>

          <mi>f</mi>
          <mo>&ThinSpace;</mo>
          <mi>&delta;</mi>

          <mrow>
            <mo stretchy='false'>(</mo>
            <mi fontweight='bold'>k</mi>
            <mo>.</mo>
            <mi fontweight='bold'>v</mi>
            <mo>-</mo>
            <mi>&omega;</mi>
            <mo stretchy='false'>)</mo>
          </mrow>
          
          <msup>
            <mi>d</mi>
            <mn>3</mn>
          </msup>
          
          <mi fontweight='bold'>v</mi>
        </mrow>
      </mtd>
    </mtr>
    
    <mtr>
      <mtd></mtd>
      
      <mtd columnalign='left'>
        <mrow>
          <mo>=</mo>
        </mrow>
      </mtd>
      
      <mtd columnalign='left'>
        <mrow>
          <msubsup>
            <mi>r</mi>
            <mi>e</mi>
            <mn>2</mn>
          </msubsup>
          
          <msub>
            <mo>&int;</mo>
            <mi>V</mi>
          </msub>
          
          <mo lspace='0'>&lt;</mo>
          <msub>
            <mi>S</mi>
            <mi>i</mi>
          </msub>
          <mo>&gt;</mo>
          
          <msup>
            <mi>d</mi>
            <mn>3</mn>
          </msup>

          <mi fontweight='bold'>r</mi>
          <mo>&int;</mo>
          
          <msup>
            <mrow>
              <mo symmetric='false' lspace='0' rspace='0'>|</mo>
              <mn>1</mn>
              <mo>-</mo>

              <mfrac>
                <mrow>
                  <mo stretchy='false'>(</mo>
                  <mn>1</mn>
                  <mo>-</mo>
                  <mover accent='true'>
                    <mi fontweight='bold'>s</mi>
                    <mo>&Hat;</mo>
                  </mover>
                  <mo>.</mo>
                  <mover accent='true'>
                    <mi fontweight='bold'>&imath;</mi>
                    <mo>&Hat;</mo>
                  </mover>
                  <mo stretchy='false'>)</mo>
                </mrow>

                <mrow>
                  <mo stretchy='false'>(</mo>
                  <mn>1</mn>
                  <mo>-</mo>
                  <msub>
                    <mi>&beta;</mi>
                    <mi>i</mi>
                  </msub>
                  <mo stretchy='false'>)</mo>
                  <mo stretchy='false'>(</mo>
                  <mn>1</mn>
                  <mo>-</mo>
                  <msub>
                    <mi>&beta;</mi>
                    <mi>s</mi>
                  </msub>
                  <mo stretchy='false'>)</mo>
                </mrow>
              </mfrac>
              
              <msubsup>
                <mi>&beta;</mi>
                <mi>e</mi>
                <mn>2</mn>
              </msubsup>

              <mo symmetric='false' lspace='0' rspace='0'>|</mo>
            </mrow>
            <mn>2</mn>
          </msup>

          <mspace width="thinmathspace"/>
          
          <msup>
            <mrow>
              <mo symmetric='false' rspace='0'>|</mo>
              <mfrac>

                <mrow>
                  <mn>1</mn>
                  <mo>-</mo>
                  <msub>
                    <mi>&beta;</mi>
                    <mi>i</mi>
                  </msub>
                </mrow>
                
                <mrow>
                  <mn>1</mn>
                  <mo>-</mo>
                  <msub>
                    <mi>&beta;</mi>
                    <mi>s</mi>
                  </msub>
                </mrow>
              </mfrac>
              
              <mo symmetric='false' lspace='0' rspace='0'>|</mo>
            </mrow>
            <mn>2</mn>
          </msup>
        </mrow>
      </mtd>

    </mtr>
    
    <mtr>
      <mtd></mtd>
      <mtd></mtd>
      <mtd columnalign='left'>
        <mrow>
          <mo>&times;</mo>
 
          <mrow>
            <mo stretchy='false'>(</mo>
            <mn>1</mn>
            <mo>-</mo>          
            <msup>
              <mi>&beta;</mi>
              <mn>2</mn>
            </msup>       
            <mo stretchy='false'>)</mo>
          </mrow>
          
          <mo>&ThinSpace;</mo>
          <mi>f</mi>
          <mo>&ThinSpace;</mo>
          <mi>&delta;</mi>
          
          <mrow>
            <mo stretchy='false'>(</mo>
            <mi fontweight='bold'>k</mi>
            <mo>.</mo>
            <mi fontweight='bold'>v</mi>
            <mo>-</mo>
            <mi>&omega;</mi>
            <mo stretchy='false'>)</mo>
          </mrow>

          <msup>
            <mi>d</mi>
            <mn>3</mn>
          </msup>
          
          <mi fontweight='bold'>v</mi>
        </mrow>
      </mtd>

    </mtr>
  </mtable>
</mrow>
</math>

</body>
</html>