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));

$$D^{2}+{{-x+{{3} \over {16}}} \over {x^{2}}}$$

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

$${{x+{{1} \over {2}}} \over {x^{2}-{{1} \over {3}}}}$$

See Also

makeIntegral