-
series is a
compact way to
express the
number of
monomials of a
given degree: the
number of
monomials of
degree d {\displaystyle d} in n {\displaystyle...
-
consists of all
monomials. The
monomials form a
basis because every polynomial may be
uniquely written as a
finite linear combination of
monomials (this is an...
- mathematics, a
monomial order (sometimes
called a term
order or an
admissible order) is a
total order on the set of all (monic)
monomials in a
given polynomial...
- In
abstract algebra, a
monomial ideal is an
ideal generated by
monomials in a
multivariate polynomial ring over a field. A
toric ideal is an
ideal generated...
- Young (1928)
introduced monomials ****ociated to
standard Young tableaux. Hodge (1943) (see also (Hodge &
Pedoe 1994, p.378)) used Young's
monomials,
which he called...
-
choice of a
total order on the
monomials, with the
following properties of
compatibility with multiplication. For all
monomials M, N, P, M ≤ N ⟺ M P ≤ N P...
- H{\displaystyle H}. To
define the
monomial representation, we
first need to
introduce the
notion of
monomial space. A
monomial space is a
triple (V,X,(Vx)x∈X){\displaystyle...
- this can be
abbreviated to X α. The
monomial symmetric polynomial mα(X1, ..., Xn) is
defined as the sum of all
monomials xβ
where β
ranges over all distinct...
- is a
monomial. It is the
simplest kind of a sp****
polynomial after the
monomials. A
binomial is a
polynomial which is the sum of two
monomials. A binomial...
-
Infinite sum of
monomials...