The rational normal curve for higher genus hyperelliptic curves arises in the same way with higher power monomials in " x ".
22.
The "'cycle index polynomial "'of a permutation group is the average of the cycle index monomials of its elements.
23.
Another way is that it counts the number of monomials of degree d " n in m variables but weighting the sum based on their degree.
24.
A "'toric ideal "'is an ideal generated by differences of monomials ( provided the ideal is a prime ideal ).
25.
Monomials are uniquely defined by their exponent vectors so computers can represent monomials efficiently as exponent vectors, and polynomials as lists of exponent vectors and their coefficients.
26.
Monomials are uniquely defined by their exponent vectors so computers can represent monomials efficiently as exponent vectors, and polynomials as lists of exponent vectors and their coefficients.
27.
In this order monomials are compared first by total degree, with ties broken by taking the smallest monomial with respect to lexicographic ordering with the variables reversed.
28.
The fact that this expression is unique, or equivalently that all the products ( monomials ) of elementary symmetric polynomials are linearly independent, is also easily proved.
29.
His work on algebra and polynomials gave the rules for arithmetic operations for adding, subtracting and multiplying polynomials; though he was restricted to dividing polynomials by monomials.
30.
Where \ mathbf { c } _ i ^ j is a column vector of all degree j monomials of the coordinates of \ mathbf { c } _ i.
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