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normalize


Usage

normalize L
normalize p
normalize q


Parameter Type Description
L $\mathbbm{Q}[x,\frac d{dx}]$ A differential operator
p $\mathbbm{Q}[x]$ A polynomial
q $\mathbbm{Q}(x)[u]$ A Darboux curve


Description

normalize makes its argument monic in the outermost variable.


Remarks

normalize can also be used on vectors and quotients of polynomials.


Example

1 --> L := x^2*D^2 + 3/16 - x;
2 --> tex(normalize(L));

\begin{displaymath}
D^{2}+{{-x+{{3} \over {16}}} \over {x^{2}}}
\end{displaymath}

3 --> f := (2*x + 1)/(3*x^2 - 1);
4 --> tex(normalize(f));

\begin{displaymath}
{{x+{{1} \over {2}}} \over {x^{2}-{{1} \over {3}}}}
\end{displaymath}


See Also

makeIntegral



Manuel Bronstein 2002-09-04