The following illustrates an example of monomial and polynomial ideals. Thus, the only monomial whose degree is invariant under Legendre transform is the quadratic. In mathematics, a monomial is, roughly speaking, a polynomial which has only one term. Each odd admissible sequence gives rise to a monomial in the corner invariants. The algebra is unital if one takes the empty product as a monomial. Also, a monomial is a multiset of indeterminates. This generalization depends heavily on the notion of a monomial order. The coefficient of the monomial indicates how many such partitions there are. M and has conjugates inside the monomial subgroup. The parentheses are sometimes omitted if the input is a monomial. To do this it suffices to separate the different types of monomial occurring in "P". The monomial order implies an order on the individual indeterminates. Therefore, the notion of monomial order becomes interesting only in the case of multiple variables. Monomial matrices occur in representation theory in the context of monomial representations. Some authors use "monomial" instead of "term" and "power product" instead of "monomial".