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

Returns the degree valuation of a rational function or
a Puiseux series defined over a finite field.

<p><p>

<h3>
Syntax:
</h3>
<pre>n := InftyVal(a);</pre>

<p>

<table>
<tr>
<td>integer</td>
<td><pre>  n  </pre></td>
<td></td>
</tr>
<tr>
<td>quotient field element</td>
<td><pre>  a  </pre></td>
<td>of FF_q(x)</td>
</tr>
</table>

<p>


See also:&nbsp;&nbsp;<a href="kashref.html#InftyQuotRem">InftyQuotRem</a>, <a href="kashref.html#InftyGcd">InftyGcd</a>, <a href="kashref.html#InftyLcm">InftyLcm</a>, <a href="kashref.html#AlffRoots">AlffRoots</a>

<p>

<h3>
Description:
</h3>
This function computes the degree valuation \nu_\infty(a)
of an element a \in FF_q(x)^\times or a \in FF_q((x^{-1/e}))
(the negative degree).

<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> InftyVal(x);
-1
kash> InftyVal((x^2+x)^-1);
2

</pre>

<p>


<hr>

<p>
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