mirror of https://github.com/CGAL/cgal
move note outside the brief
This commit is contained in:
parent
3979b415ec
commit
829c412b10
|
|
@ -3,8 +3,6 @@
|
|||
\ingroup PkgPolynomialConcepts
|
||||
\cgalConcept
|
||||
|
||||
<B>Note:</B> This functor is optional!
|
||||
|
||||
Computes the polynomial subresultant of two polynomials \f$ p\f$ and \f$ q\f$ of
|
||||
type `PolynomialTraits_d::Polynomial_d` with respect to outermost variable.
|
||||
Let
|
||||
|
|
@ -23,6 +21,8 @@ The result is written in an output range, starting with the \f$ 0\f$-th subresul
|
|||
\f$ \mathrm{Sres}_0(p,q)\f$
|
||||
(aka as the resultant of \f$ p\f$ and \f$ q\f$).
|
||||
|
||||
\note This functor is optional.
|
||||
|
||||
\cgalRefines `AdaptableBinaryFunction`
|
||||
\cgalRefines `CopyConstructible`
|
||||
\cgalRefines `DefaultConstructible`
|
||||
|
|
|
|||
|
|
@ -3,8 +3,6 @@
|
|||
\ingroup PkgPolynomialConcepts
|
||||
\cgalConcept
|
||||
|
||||
<B>Note:</B> This functor is optional!
|
||||
|
||||
Computes the polynomial subresultant of two polynomials \f$ p\f$ and \f$ q\f$ of degree
|
||||
\f$ n\f$ and \f$ m\f$, respectively,
|
||||
as defined in the documentation of `PolynomialTraits_d::PolynomialSubresultants`.
|
||||
|
|
@ -16,6 +14,8 @@ the <I>cofactors</I> of \f$ \mathrm{Sres}_i(p,q)\f$.
|
|||
The result is written in three output ranges, each of length \f$ \min\{n,m\}+1\f$,
|
||||
starting with the \f$ 0\f$-th subresultant and the corresponding cofactors.
|
||||
|
||||
\note This functor is optional.
|
||||
|
||||
\cgalRefines `AdaptableBinaryFunction`
|
||||
\cgalRefines `CopyConstructible`
|
||||
\cgalRefines `DefaultConstructible`
|
||||
|
|
|
|||
|
|
@ -3,8 +3,6 @@
|
|||
\ingroup PkgPolynomialConcepts
|
||||
\cgalConcept
|
||||
|
||||
<B>Note:</B> This functor is optional!
|
||||
|
||||
Computes the principal leading coefficients of the Sturm-Habicht sequence
|
||||
of a polynomials \f$ f\f$ of type `PolynomialTraits_d::Polynomial_d`
|
||||
with respect a certain variable \f$ x_i\f$.
|
||||
|
|
@ -19,6 +17,8 @@ In case that `PolynomialTraits_d::Coefficient_type` is `RealEmbeddable`, the fun
|
|||
on the resulting sequence to count the number of distinct real roots of
|
||||
the polynomial \f$ f\f$.
|
||||
|
||||
\note This functor is optional.
|
||||
|
||||
\cgalRefines `AdaptableBinaryFunction`
|
||||
\cgalRefines `CopyConstructible`
|
||||
\cgalRefines `DefaultConstructible`
|
||||
|
|
|
|||
|
|
@ -3,8 +3,6 @@
|
|||
\ingroup PkgPolynomialConcepts
|
||||
\cgalConcept
|
||||
|
||||
<B>Note:</B> This functor is optional!
|
||||
|
||||
Computes the principal subresultant of two polynomials \f$ p\f$ and \f$ q\f$ of
|
||||
type `PolynomialTraits_d::Coefficient_type`
|
||||
with respect to the outermost variable.
|
||||
|
|
@ -19,6 +17,8 @@ principal subresultant \f$ \mathrm{sres}_0(p,q)\f$
|
|||
,aka as the resultant of \f$ p\f$ and \f$ q\f$.
|
||||
(Note that \f$ \mathrm{sres}_0(p,q)=\mathrm{Sres}_0(p,q)\f$ by definition)
|
||||
|
||||
\note This functor is optional.
|
||||
|
||||
\cgalRefines `AdaptableBinaryFunction`
|
||||
\cgalRefines `CopyConstructible`
|
||||
\cgalRefines `DefaultConstructible`
|
||||
|
|
|
|||
|
|
@ -3,8 +3,6 @@
|
|||
\ingroup PkgPolynomialConcepts
|
||||
\cgalConcept
|
||||
|
||||
<B>Note:</B> This functor is optional!
|
||||
|
||||
Computes the Sturm-Habicht sequence
|
||||
(aka the signed subresultant sequence)
|
||||
of a polynomial \f$ f\f$ of type
|
||||
|
|
@ -27,6 +25,8 @@ The result is written in an output range,
|
|||
starting with the \f$ 0\f$-th Sturm-Habicht polynomial (which is equal to
|
||||
the discriminant of \f$ f\f$ up to a multiple of the leading coefficient).
|
||||
|
||||
\note This functor is optional.
|
||||
|
||||
\cgalRefines `AdaptableBinaryFunction`
|
||||
\cgalRefines `CopyConstructible`
|
||||
\cgalRefines `DefaultConstructible`
|
||||
|
|
|
|||
|
|
@ -3,8 +3,6 @@
|
|||
\ingroup PkgPolynomialConcepts
|
||||
\cgalConcept
|
||||
|
||||
<B>Note:</B> This functor is optional!
|
||||
|
||||
Computes the Sturm-Habicht polynomials of a polynomial \f$ f\f$ of degree \f$ n\f$,
|
||||
as defined in the documentation of `PolynomialTraits_d::SturmHabichtSequence`.
|
||||
Moreover, for \f$ \mathrm{Stha}_i(f)\f$, polynomials \f$ u_i\f$ and \f$ v_i\f$
|
||||
|
|
@ -16,6 +14,8 @@ The result is written in three output ranges, each of length \f$ \min\{n,m\}+1\f
|
|||
starting with the \f$ 0\f$-th Sturm-Habicht polynomial \f$ \mathrm{Stha_0(f)}\f$
|
||||
and the corresponding cofactors.
|
||||
|
||||
\note This functor is optional.
|
||||
|
||||
\cgalRefines `AdaptableBinaryFunction`
|
||||
\cgalRefines `CopyConstructible`
|
||||
\cgalRefines `DefaultConstructible`
|
||||
|
|
|
|||
Loading…
Reference in New Issue