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

Computing valuations in a rational function field.

<p><p>

<h3>
Syntax:
</h3>
<pre>v := QfeVal(p, a);</pre>

<p>

<table>
<tr>
<td>integer</td>
<td><pre>  v  </pre></td>
<td></td>
</tr>
<tr>
<td>qf elements</td>
<td><pre>  p, a  </pre></td>
<td></td>
</tr>
</table>

<p>


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

<p>

<h3>
Description:
</h3>
Given the rational function field k(x) and a prime element
p \in k(x), that is a prime polynomial or 1/x,
compute the valuation v_p(a) of a at the place given by p.

<p><p>

<p>
<hr>
<p>
<h3>
Example:
</h3>

<pre>

kash> k := FF(5, 2);
Finite field of size 5^2
kash> kx := PolyAlg(k);
Univariate Polynomial Ring in x over GF(5^2)

kash> x := Poly(kx, [1,0]);
x
kash> QfeVal(x, x^3);
3
kash> QfeVal(1/x, x^3);
-3
kash> QfeVal(x, (x+1)^3);
0
kash> QfeVal(1/x, (x+1)^3);
-3

</pre>

<p>


<hr>

<p>
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