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<p>&nbsp;<p>
<hr noshade size="5">
<h2><a name="AlffEltValuation"></a>
AlffEltValuation
</h2>

The valuation of an algebraic function field element at a place.

<p><p>

<h3>
Syntax:
</h3>
<pre>v := AlffEltValuation(P, a);</pre>

<p>

<table>
<tr>
<td>integer</td>
<td><pre>  v  </pre></td>
<td></td>
</tr>
<tr>
<td>alff place</td>
<td><pre>  P  </pre></td>
<td></td>
</tr>
<tr>
<td>alff order element</td>
<td><pre>  a  </pre></td>
<td></td>
</tr>
</table>

<p>


See also:&nbsp;&nbsp;<a href="kashref.html#AlffPlaceSplit">AlffPlaceSplit</a>, <a href="kashref.html#AlffDivisor">AlffDivisor</a>

<p>

<h3>
Description:
</h3>
This function returns the valuation \nu_{frak{P}}(a) of an
algebraic function field order element a at a
given place frak{P}.

<p><p>

<p>
<hr>
<p>
<h3>
Example:
</h3>
Compute a valuation:
<pre>

kash> AlffInit(FF(2,1));
"Defining global variables: k, w, kT, kTf, kTy, T, y, AlffGlobals"
kash> AlffOrders(y^3+T^3*y+T);
"Defining global variables: F, o, oi, one"
kash> a := AlffElt(o, [0, 1, 0]);
[ 0, 1, 0 ]
kash> P := AlffPlaceSplit(F, T)[1];
Alff place < [ T, 0, 0 ], [ 0, 1, 0 ] >
kash> AlffEltValuation(P, a);
1
kash> AlffEltValuation(P, a^(-2));
> -2

</pre>

<p>


<hr>

<p>
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