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<h1 style="text-align: center">Amaya XML/MathML Editor/Browser</h1>

<p>You need the free Amaya browser/editor to see the math in this XML/MathML
document. Download it at <a
href="http://www.w3.org/amaya.">http://www.w3.org/amaya.</a></p>

<p>Here are the math constructs, identifiers and operators available from the
math palettes. The first row contains constructs in the palette; the next rows
and 10 columns are identifiers and operators in the palette; and the last
column, starting with the second row are constructs and identifiers not in the
palette.</p>

<table border="1">
  <tbody>
    <tr>
      <td align="center">
        <math xmlns="http://www.w3.org/1998/Math/MathML">
          <msqrt>
            <mi>&alpha;</mi>
          </msqrt>
        </math>
      </td>
      <td align="center">
        <math xmlns="http://www.w3.org/1998/Math/MathML">
          <mroot>
            <mi>&beta;</mi>
            <mi>n</mi>
          </mroot>
        </math>
      </td>
      <td align="center">
        <math xmlns="http://www.w3.org/1998/Math/MathML">
          <mfrac>
            <mi>&chi;</mi>
            <mi>&delta;</mi>
          </mfrac>
        </math>
      </td>
      <td align="center">
        <math xmlns="http://www.w3.org/1998/Math/MathML">
          <msubsup>
            <mi>&Omega;</mi>
            <mi>&phi;</mi>
            <mi>&gamma;</mi>
          </msubsup>
        </math>
      </td>
      <td align="center">
        <math xmlns="http://www.w3.org/1998/Math/MathML">
          <msup>
            <mi>&Xi;</mi>
            <mi>&eta;</mi>
          </msup>
        </math>
      </td>
      <td align="center">
        <math xmlns="http://www.w3.org/1998/Math/MathML">
          <msub>
            <mi>&Psi;</mi>
            <mi>&iota;</mi>
          </msub>
        </math>
      </td>
      <td align="center">
        <math xmlns="http://www.w3.org/1998/Math/MathML">
          <munderover>
            <mi>&Sigma;</mi>
            <mrow>
              <mi>i</mi>
              <mo>=</mo>
              <mn>1</mn>
            </mrow>
            <mn>5</mn>
          </munderover>
        </math>
      </td>
      <td align="center">
        <math xmlns="http://www.w3.org/1998/Math/MathML">
          <munder>
            <mi>&Upsi;</mi>
            <mo>&RightArrow;</mo>
          </munder>
        </math>
      </td>
      <td align="center">
        <math xmlns="http://www.w3.org/1998/Math/MathML">
          <mover>
            <mi>&Pi;</mi>
            <mo>&RightArrow;</mo>
          </mover>
        </math>
      </td>
      <td align="center">
        <math xmlns="http://www.w3.org/1998/Math/MathML">
          <mrow>
            <mo>(</mo>
            <mi>&sigmav;</mi>
            <mo>)</mo>
          </mrow>
        </math>
      </td>
      <td align="center">
        <math xmlns="http://www.w3.org/1998/Math/MathML">
          <mmultiscripts>
            <mi>&Lambda;</mi>
            <mi>&kappa;</mi>
            <mi>&lambda;</mi>
            <mprescripts/>
            <mi>&mu;</mi>
            <mi>&nu;</mi>
          </mmultiscripts>
        </math>
      </td>
      <td align="center">
        <math xmlns="http://www.w3.org/1998/Math/MathML">
          <mtable>
            <mtr>
              <mtd>
                <mi>&phi;</mi>
              </mtd>
              <mtd>
                <mi>&pi;</mi>
              </mtd>
            </mtr>
            <mtr>
              <mtd>
                <mi>&theta;</mi>
              </mtd>
              <mtd>
                <mi>&rho;</mi>
              </mtd>
            </mtr>
          </mtable>
        </math>
      </td>
    </tr>
    <tr>
      <td align="center"></td>
      <td align="center">!</td>
      <td align="center">&forall;</td>
      <td align="center">#</td>
      <td align="center">&exist;</td>
      <td align="center">%</td>
      <td align="center">&amp;</td>
      <td align="center">&ni;</td>
      <td align="center">(</td>
      <td align="center">)</td>
      <td align="center"></td>
      <td align="center">
        <math xmlns="http://www.w3.org/1998/Math/MathML">
          <menclose>
            &tau;&Theta;</menclose>
        </math>
      </td>
    </tr>
    <tr>
      <td align="center">
        <math xmlns="http://www.w3.org/1998/Math/MathML">
          <mo>*</mo>
        </math>
      </td>
      <td align="center">
        <math xmlns="http://www.w3.org/1998/Math/MathML">
          <mo>+</mo>
        </math>
      </td>
      <td align="center">,</td>
      <td align="center">&minus;</td>
      <td align="center">.</td>
      <td align="center">/</td>
      <td align="center">0</td>
      <td align="center">1</td>
      <td align="center">2</td>
      <td align="center">3</td>
      <td align="center"></td>
      <td align="center">
        <math xmlns="http://www.w3.org/1998/Math/MathML">
          <mi>&ExponentialE;</mi>
        </math>
      </td>
    </tr>
    <tr>
      <td align="center">4</td>
      <td align="center">5</td>
      <td align="center">6</td>
      <td align="center">7</td>
      <td align="center">8</td>
      <td align="center">9</td>
      <td align="center">:</td>
      <td align="center">;</td>
      <td align="center">&lt;</td>
      <td align="center">=</td>
      <td align="center"></td>
      <td align="center">
        <math xmlns="http://www.w3.org/1998/Math/MathML">
          <merror>
            error</merror>
        </math>
      </td>
    </tr>
    <tr>
      <td align="center">&gt;</td>
      <td align="center">?</td>
      <td align="center">&cong;</td>
      <td align="center">&Alpha;</td>
      <td align="center">&Beta;</td>
      <td align="center">&Chi;</td>
      <td align="center">&Delta;</td>
      <td align="center">&Epsilon;</td>
      <td align="center">&Phi;</td>
      <td align="center">&Gamma;</td>
      <td align="center"></td>
      <td align="center">
        <math xmlns="http://www.w3.org/1998/Math/MathML">
          <ms>comment</ms>
        </math>
      </td>
    </tr>
    <tr>
      <td align="center">&Eta;</td>
      <td align="center">&Iota;</td>
      <td align="center">&thetasym;</td>
      <td align="center">&Kappa;</td>
      <td align="center">&Lambda;</td>
      <td align="center">&Mu;</td>
      <td align="center">&Nu;</td>
      <td align="center">&Omicron;</td>
      <td align="center">&Pi;</td>
      <td align="center">&Theta;</td>
      <td align="center"></td>
      <td align="center">
        <math xmlns="http://www.w3.org/1998/Math/MathML">
          <mtext>text</mtext>
        </math>
      </td>
    </tr>
    <tr>
      <td align="center">&Rho;</td>
      <td align="center">&Sigma;</td>
      <td align="center">&Tau;</td>
      <td align="center">&Upsilon;</td>
      <td align="center">&sigmaf;</td>
      <td align="center">&Omega;</td>
      <td align="center">&Xi;</td>
      <td align="center">&Psi;</td>
      <td align="center">&Zeta;</td>
      <td align="center">[</td>
      <td align="center"></td>
      <td align="center"></td>
    </tr>
    <tr>
      <td align="center">&there4;</td>
      <td align="center">]</td>
      <td align="center">&perp;</td>
      <td align="center">_</td>
      <td align="center">&alpha;</td>
      <td align="center">&beta;</td>
      <td align="center">&chi;</td>
      <td align="center">&delta;</td>
      <td align="center">&epsilon;</td>
      <td align="center">&phi;</td>
      <td align="center"></td>
      <td align="center"></td>
    </tr>
    <tr>
      <td align="center">&gamma;</td>
      <td align="center">&eta;</td>
      <td align="center">&iota;</td>
      <td align="center">j</td>
      <td align="center">&kappa;</td>
      <td align="center">&lambda;</td>
      <td align="center">&mu;</td>
      <td align="center">&nu;</td>
      <td align="center">&omicron;</td>
      <td align="center">&pi;</td>
      <td align="center"></td>
      <td align="center"></td>
    </tr>
    <tr>
      <td align="center">&theta;</td>
      <td align="center">&rho;</td>
      <td align="center">&sigma;</td>
      <td align="center">&tau;</td>
      <td align="center">&upsilon;</td>
      <td align="center">&piv;</td>
      <td align="center">&omega;</td>
      <td align="center">&xi;</td>
      <td align="center">&psi;</td>
      <td align="center">&zeta;</td>
      <td align="center"></td>
      <td align="center"></td>
    </tr>
    <tr>
      <td align="center">{</td>
      <td align="center">|</td>
      <td align="center">}</td>
      <td align="center">&sim;</td>
      <td align="center">&upsih;</td>
      <td align="center">&prime;</td>
      <td align="center">&le;</td>
      <td align="center">&frasl;</td>
      <td align="center">&infin;</td>
      <td align="center">&fnof;</td>
      <td align="center"></td>
      <td align="center"></td>
    </tr>
    <tr>
      <td align="center">&clubs;</td>
      <td align="center">&diams;</td>
      <td align="center">&hearts;</td>
      <td align="center">&spades;</td>
      <td align="center">&harr;</td>
      <td align="center">&larr;</td>
      <td align="center">&uarr;</td>
      <td align="center">&rarr;</td>
      <td align="center">&darr;</td>
      <td align="center">°</td>
      <td align="center"></td>
      <td align="center"></td>
    </tr>
    <tr>
      <td align="center">±</td>
      <td align="center">&Prime;</td>
      <td align="center">&ge;</td>
      <td align="center">×</td>
      <td align="center">&prop;</td>
      <td align="center">&part;</td>
      <td align="center">&bull;</td>
      <td align="center">÷</td>
      <td align="center">&ne;</td>
      <td align="center">&equiv;</td>
      <td align="center"></td>
      <td align="center"></td>
    </tr>
    <tr>
      <td align="center">&asymp;</td>
      <td align="center">&hellip;</td>
      <td align="center">|</td>
      <td align="center">&mdash;</td>
      <td align="center">&crarr;</td>
      <td align="center">&alefsym;</td>
      <td align="center">&image;</td>
      <td align="center">&real;</td>
      <td align="center">&weierp;</td>
      <td align="center">&otimes;</td>
      <td align="center"></td>
      <td align="center"></td>
    </tr>
    <tr>
      <td align="center">&oplus;</td>
      <td align="center">&empty;</td>
      <td align="center">&cap;</td>
      <td align="center">&cup;</td>
      <td align="center">&sup;</td>
      <td align="center">&supe;</td>
      <td align="center">&nsub;</td>
      <td align="center">&sub;</td>
      <td align="center">&sube;</td>
      <td align="center">&isin;</td>
      <td align="center"></td>
      <td align="center"></td>
    </tr>
    <tr>
      <td align="center">&notin;</td>
      <td align="center">&ang;</td>
      <td align="center">&nabla;</td>
      <td align="center">&trade;</td>
      <td align="center">&prod;</td>
      <td align="center">&radic;</td>
      <td align="center">&sdot;</td>
      <td align="center">¬</td>
      <td align="center">&and;</td>
      <td align="center">&or;</td>
      <td align="center"></td>
      <td align="center"></td>
    </tr>
    <tr>
      <td align="center">&hArr;</td>
      <td align="center">&lArr;</td>
      <td align="center">&uArr;</td>
      <td align="center">&rArr;</td>
      <td align="center">&dArr;</td>
      <td align="center">&loz;</td>
      <td align="center">&lang;</td>
      <td align="center">&sum;</td>
      <td align="center">&rang;</td>
      <td align="center">&int;</td>
      <td align="center"></td>
      <td align="center"></td>
    </tr>
    <tr>
      <td align="center"></td>
      <td align="center"></td>
      <td align="center"></td>
      <td align="center"></td>
      <td align="center"></td>
      <td align="center"></td>
      <td align="center"></td>
      <td align="center"></td>
      <td align="center"></td>
      <td align="center"></td>
      <td align="center"></td>
      <td align="center"></td>
    </tr>
    <tr>
      <td align="center"></td>
      <td></td>
      <td align="center"></td>
      <td align="center"></td>
      <td align="center"></td>
      <td align="center"></td>
      <td align="center"></td>
      <td align="center"></td>
      <td align="center"></td>
      <td align="center"></td>
      <td align="center"></td>
      <td align="center"></td>
    </tr>
  </tbody>
</table>

<p>Difference between <span style="font-weight: bold">mtable</span> (matrix)
and <span style="font-weight: bold">table</span>:</p>

<p>This is made with <span style="font-weight: bold">mtable</span> (No borders
are allowed, but fences may be applied.): 
<math xmlns="http://www.w3.org/1998/Math/MathML">
  <mtable>
    <mtr>
      <mtd>
        <mi>a</mi>
      </mtd>
      <mtd>
        <mi>b</mi>
      </mtd>
    </mtr>
    <mtr>
      <mtd>
        <mi>c</mi>
      </mtd>
      <mtd>
        <mi>d</mi>
      </mtd>
    </mtr>
  </mtable>
</math>
</p>

<p>The following are made with <span style="font-weight: bold">table</span>
with math identifiers for the entries: 
<table>
  <tbody>
    <tr>
      <td>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
          <mi>a</mi>
        </math>
      </td>
      <td>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
          <mi>b</mi>
        </math>
      </td>
    </tr>
    <tr>
      <td>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
          <mi>c</mi>
        </math>
      </td>
      <td>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
          <mi>d</mi>
        </math>
      </td>
    </tr>
  </tbody>
</table>
Table with no border: 
<table border="1">
  <tbody>
    <tr>
      <td>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
          <mi>a</mi>
        </math>
      </td>
      <td>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
          <mi>b</mi>
        </math>
      </td>
    </tr>
    <tr>
      <td>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
          <mi>c</mi>
        </math>
      </td>
      <td>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
          <mi>d</mi>
        </math>
      </td>
    </tr>
  </tbody>
</table>
Table with border=1: 
<table border="5">
  <tbody>
    <tr>
      <td>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
          <mi>a</mi>
        </math>
      </td>
      <td>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
          <mi>b</mi>
        </math>
      </td>
    </tr>
    <tr>
      <td>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
          <mi>c</mi>
        </math>
      </td>
      <td>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
          <mi>d</mi>
        </math>
      </td>
    </tr>
  </tbody>
</table>
Table with border=5:</p>
A table always starts on a new line. 

<p>Fences: E. g., &lt;mo&gt;[&lt;/mo&gt;: 
<math xmlns="http://www.w3.org/1998/Math/MathML">
  <mo>[</mo>
  <mtable>
    <mtr>
      <mtd>
        <mi>a</mi>
      </mtd>
      <mtd>
        <mi>b</mi>
      </mtd>
    </mtr>
    <mtr>
      <mtd>
        <mi>c</mi>
      </mtd>
      <mtd>
        <mi>d</mi>
      </mtd>
    </mtr>
  </mtable>
  <mo>]</mo>
  <mo>{</mo>
  <mtable>
    <mtr>
      <mtd>
        <mi>a</mi>
      </mtd>
      <mtd>
        <mi>b</mi>
      </mtd>
    </mtr>
    <mtr>
      <mtd>
        <mi>c</mi>
      </mtd>
      <mtd>
        <mi>d</mi>
      </mtd>
    </mtr>
  </mtable>
  <mo>}</mo>
  <mo>|</mo>
  <mtable>
    <mtr>
      <mtd>
        <mi>a</mi>
      </mtd>
      <mtd>
        <mi>b</mi>
      </mtd>
    </mtr>
    <mtr>
      <mtd>
        <mi>c</mi>
      </mtd>
      <mtd>
        <mi>d</mi>
      </mtd>
    </mtr>
  </mtable>
  <mo>|</mo>
</math>
</p>

<table border="1">
  <caption>Spaces:</caption>
  <tbody>
    <tr>
      <td>No space:</td>
      <td>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
          <mi>a</mi>
          <mi>a</mi>
        </math>
      </td>
    </tr>
    <tr>
      <td>&lt;mi&gt;&amp;ThinSpace;&lt;/mi&gt;</td>
      <td>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
          <mi>a</mi>
          <mi>&ThinSpace;</mi>
          <mi>a</mi>
        </math>
      </td>
    </tr>
    <tr>
      <td>&lt;mi&gt;&amp;ThickSpace;&lt;/mi&gt;</td>
      <td><math xmlns="http://www.w3.org/1998/Math/MathML">          <mi>a</mi>          
<mi>&ThickSpace;</mi>          
<mi>a</mi>        
</math></td>
    </tr>
    <tr>
      <td>&lt;mo&gt;&amp;InvisibleTimes;&lt;/mo&gt;</td>
      <td>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
          <mi>a</mi>
          <mo>&InvisibleTimes;</mo>
          <mi>a</mi>
        </math>
      </td>
    </tr>
    <tr>
      <td>mspace/</td>
      <td>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
          <mi>a</mi>
          <mspace/>
          <mi>a</mi>
        </math>
      </td>
    </tr>
  </tbody>
</table>
<img src="physics/graphics/car2.gif" alt="car" /></body>
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