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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E60">Th51</font></span>: <a NAME="T52"><span class="comment"><font color="firebrick">:: HURWITZ:52</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">f</font> being   <a href="polynom3.html#NM1" title="POLYNOM3:NM.1">Polynomial</a> of <a href="complfld.html#K1" title="COMPLFLD:func.1">F_Complex</a>  st  <a href="hurwitz.html#NK3" title="HURWITZ:NK.3">deg</a> <font color="Olive" title="b1">f</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 1 holds <br/> for <font color="Olive" title="b2">rho</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <a href="complfld.html#K1" title="COMPLFLD:func.1">F_Complex</a>  st  <a href="complex1.html#K3" title="COMPLEX1:func.3">Re</a> <font color="Olive" title="b2">rho</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  &amp; <font color="Olive" title="b1">f</font> is  <a href="hurwitz.html#V1" title="HURWITZ:attr.1">Hurwitz</a>  holds <br/><span class="p1">(<span class="default"><a href="hurwitz.html#K8" title="HURWITZ:func.8">F*</a> (<font color="Olive" title="b1">f</font>,<font color="Olive" title="b2">rho</font>)</span>)</span> <a href="hurwitz.html#K5" title="HURWITZ:func.5">div</a> <span class="p1">(<span class="default"><a href="hurwitz.html#K3" title="HURWITZ:func.3">rpoly</a> (1,<font color="Olive" title="b2">rho</font>)</span>)</span> is  <a href="hurwitz.html#V1" title="HURWITZ:attr.1">Hurwitz</a> </div></div>
