File r37/lisp/csl/html/r37_0543.html artifact c381f731cf part of check-in e1a8550313

<A NAME=taylorrevert>

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



<B>TAYLORREVERT</B> _ _ _  _ _ _  _ _ _  _ _ _ <B>operator</B><P>
<P>
 
 <em>taylorrevert</em> allows reversion of a Taylor series of a 
 function f, i.e., to compute the first terms of the expansion of the 
 inverse of f from the expansion of f. 
<P>
<P>
 <P> <H3> 
syntax: </H3>
<em>taylorrevert</em>(&lt;expression&gt;<em>,</em> 
 &lt;var&gt;<em>,</em>&lt;var&gt;) 
 <P>
<P>
<P>
The first argument must evaluate to a Taylor kernel with the second 
 argument being one of its expansion variables. 
<P>
<P>
 <P> <H3> 
examples: </H3>
<P><PRE><TT>
    taylor(u - u**2,u,0,5); 

       2      6
  U - U  + O(U ) 


    taylorrevert (ws,u,x); 

       2      3      4       5      6
  X + X  + 2*X  + 5*X  + 14*X  + O(X )  

</TT></PRE><P>