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<div>:: <span class="kw">deftheorem </span>   defines <a href="hurwitz.html#V1" title="HURWITZ:attr.1">Hurwitz</a> <a onclick="hs(this)" href="javascript:()">HURWITZ:def 8 : <br/></a><span> 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> holds <br/> ( <font color="Olive" title="b1">f</font> is  <a href="hurwitz.html#V1" title="HURWITZ:attr.1">Hurwitz</a>  iff  for <font color="Olive" title="b2">z</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 <font color="Olive" title="b2">z</font> <a href="polynom5.html#R1" title="POLYNOM5:pred.1">is_a_root_of</a> <font color="Olive" title="b1">f</font> holds <br/> <a href="complex1.html#K3" title="COMPLEX1:func.3">Re</a> <font color="Olive" title="b2">z</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>  );<br/></span></div>
