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<div><span class="kw">theorem </span><a NAME="T31"><span class="comment"><font color="firebrick">:: HURWITZ2:31</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">p</font> being   non  <a href="ratfunc1.html#V1" title="RATFUNC1:attr.1">constant</a>   <a href="hurwitz2.html#V6" title="HURWITZ2:attr.6">real</a>   <a href="hurwitz2.html#V9" title="HURWITZ2:attr.9">with_positive_coefficients</a>  <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 <span class="p1"><a href="ratfunc1.html#K3" title="RATFUNC1:func.3">[</a><span class="default"><span class="p2">(<span class="default"><a href="hurwitz2.html#K1" title="HURWITZ2:func.1">even_part</a> <font color="Olive" title="b1">p</font></span>)</span>,<span class="p2">(<span class="default"><a href="hurwitz2.html#K2" title="HURWITZ2:func.2">odd_part</a> <font color="Olive" title="b1">p</font></span>)</span></span><a href="ratfunc1.html#K3" title="RATFUNC1:func.3">]</a></span> is   <a href="hurwitz2.html#NM1" title="HURWITZ2:NM.1">one_port_function</a> &amp;  <a href="ratfunc1.html#K12" title="RATFUNC1:func.12">degree</a> <span class="p1"><a href="ratfunc1.html#K3" title="RATFUNC1:func.3">[</a><span class="default"><span class="p2">(<span class="default"><a href="hurwitz2.html#K1" title="HURWITZ2:func.1">even_part</a> <font color="Olive" title="b1">p</font></span>)</span>,<span class="p2">(<span class="default"><a href="hurwitz2.html#K2" title="HURWITZ2:func.2">odd_part</a> <font color="Olive" title="b1">p</font></span>)</span></span><a href="ratfunc1.html#K3" title="RATFUNC1:func.3">]</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="hurwitz.html#K2" title="HURWITZ:func.2">degree</a> <font color="Olive" title="b1">p</font> holds <br/><font color="Olive" title="b1">p</font> is  <a href="hurwitz.html#V1" title="HURWITZ:attr.1">Hurwitz</a> </div></div>
