File r37/lisp/csl/html/r37_0172.html artifact fdd90e62ca part of check-in 9992369dd3

<A NAME=REDUCT>

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



<B>REDUCT</B> _ _ _  _ _ _  _ _ _  _ _ _ <B>operator</B><P>
<P>
 
 <P>
<P>
The <em>reduct</em> operator returns the remainder of its expression after the 
leading term with respect to the kernel in the second argument is removed. 
 <P> <H3> 
syntax: </H3>
<P>
<P>
<em>reduct</em>(&lt;expression&gt;,&lt;kernel&gt;) 
<P>
<P>
<P>
&lt;expression&gt; is ordinarily a polynomial. If 
<A HREF=r37_0322.html>ratarg</A> is on, 
a rational expression may also be used, otherwise an error results. 
&lt;kernel&gt; must be a 
<A HREF=r37_0002.html>kernel</A>. 
<P>
<P>
 <P> <H3> 
examples: </H3>
<P><PRE><TT>
reduct((x+y)**3,x); 

        2            2
  Y*(3*X  + 3*X*Y + Y ) 


reduct(x + sin(x)**3,sin(x)); 

  X 


reduct(x + sin(x)**3,y); 

  0

</TT></PRE><P>If the expression does not contain the kernel, <em>reduct</em> ret
urns 0. 
<P>
<P>
<P>