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<A NAME=ARBVARS>

<TITLE>ARBVARS</TITLE></A>
<b><a href=r37_idx.html>INDEX</a></b><p><p>



<B>ARBVARS</B> _ _ _  _ _ _  _ _ _  _ _ _ <B>switch</B><P>
<P>
 
 <P>
<P>
When <em>arbvars</em> is on, the solutions of singular or underdetermined 
systems of equations are presented in terms of arbitrary complex variables 
(see 
<A HREF=r37_0139.html>arbcomplex</A>). Otherwise, the solution is parametrized i
n 
terms of some of the input variables. Default is <em>on</em>. 
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<P>
 <P> <H3> 
examples: </H3>
<P><PRE><TT>
solve({2x + y,4x + 2y},{x,y}); 

         arbcomplex(1)
  {{x= - -------------,y=arbcomplex(1)}} 
               2


solve({sqrt(x)+ y**3-1},{x,y});				


                            6       3
  		   {{y=arbcomplex(2),x=y   - 2*y   + 1}} 


off arbvars; 

solve({2x + y,4x + 2y},{x,y}); 

         y
  {{x= - -}} 
         2


solve({sqrt(x)+ y**3-1},{x,y});				


            6       3
  		   {{x=y   - 2*y   + 1}} 

</TT></PRE><P>With <em>arbvars</em> off, the return value <em>{{}}</em> means th
at the 
equations given to 
<A HREF=r37_0179.html>solve</A> imply no relation among the input 
variables. 
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