HArD::Core3D
Hybrid Arbitrary Degree::Core 3D - Library to implement 3D schemes with vertex, edge, face and cell polynomials as unknowns
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Functions
Manicore::Dimension Namespace Reference

Functions

constexpr size_t binom (size_t n, size_t k) noexcept
 
constexpr size_t ExtDim (size_t l, size_t d) noexcept
 Dimension of the exterior algebra.
 
constexpr size_t PolyDim (int r, size_t d) noexcept
 Dimension of P^r(\Real^d)
 
constexpr size_t HDim (int r, size_t d) noexcept
 Dimension of homogeneous polynomials.
 
constexpr size_t PLDim (int r, size_t l, size_t d) noexcept
 Dimension of $P_r\Lambda^l(R^d)$.
 
constexpr size_t kHDim (int r, size_t l, size_t d) noexcept
 Dimension of the image of Koszul on homogeneous polynomials.
 
constexpr size_t dHDim (int r, size_t l, size_t d) noexcept
 Dimension of the image of d on homogeneous polynomials.
 
constexpr size_t kPLDim (int r, size_t l, size_t d) noexcept
 Dimension of the image of Koszul on polynomials.
 
constexpr size_t dPLDim (int r, size_t l, size_t d) noexcept
 Dimension of the image of d on polynomials.
 
constexpr size_t PLtrimmedDim (int r, size_t l, size_t d) noexcept
 

Function Documentation

◆ binom()

constexpr size_t Manicore::Dimension::binom ( size_t  n,
size_t  k 
)
constexprnoexcept

◆ dHDim()

constexpr size_t Manicore::Dimension::dHDim ( int  r,
size_t  l,
size_t  d 
)
constexprnoexcept

Dimension of the image of d on homogeneous polynomials.

◆ dPLDim()

constexpr size_t Manicore::Dimension::dPLDim ( int  r,
size_t  l,
size_t  d 
)
constexprnoexcept

Dimension of the image of d on polynomials.

◆ ExtDim()

constexpr size_t Manicore::Dimension::ExtDim ( size_t  l,
size_t  d 
)
constexprnoexcept

Dimension of the exterior algebra.

◆ HDim()

constexpr size_t Manicore::Dimension::HDim ( int  r,
size_t  d 
)
constexprnoexcept

Dimension of homogeneous polynomials.

◆ kHDim()

constexpr size_t Manicore::Dimension::kHDim ( int  r,
size_t  l,
size_t  d 
)
constexprnoexcept

Dimension of the image of Koszul on homogeneous polynomials.

◆ kPLDim()

constexpr size_t Manicore::Dimension::kPLDim ( int  r,
size_t  l,
size_t  d 
)
constexprnoexcept

Dimension of the image of Koszul on polynomials.

◆ PLDim()

constexpr size_t Manicore::Dimension::PLDim ( int  r,
size_t  l,
size_t  d 
)
constexprnoexcept

Dimension of $P_r\Lambda^l(R^d)$.

◆ PLtrimmedDim()

constexpr size_t Manicore::Dimension::PLtrimmedDim ( int  r,
size_t  l,
size_t  d 
)
constexprnoexcept

◆ PolyDim()

constexpr size_t Manicore::Dimension::PolyDim ( int  r,
size_t  d 
)
constexprnoexcept

Dimension of P^r(\Real^d)