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Degree of a polynomial, a mathematical concept that is often abbreviated "deg"
The degree of a polynomial is invariant under linear change of variables.
Order, or degree of a polynomial.
The degree of a polynomial is the highest power of x that occurs inside that polynomial.
We may speak of the degree of a Diophantine set as being the least degree of a polynomial in an equation defining that set.
It can be shown that the degree of a polynomial over a field satisfies all of the requirements of the norm function in the euclidean domain.
The - weighted degree of a polynomial is the maximum, over the monomials with non-zero coefficients, of the - weighted degree of the monomial.
The code relies on a theorem from algebra that states that any k distinct points 'uniquely' determine a polynomial of degree of a polynomial, at most, k-1.
The degree of a polynomial is the highest degree of its terms, when the polynomial is expressed in canonical form (i.e. as a linear combination of monomials).
Recall that the degree of a term is the sum of the exponents on variables, and that the degree of a polynomial is the largest degree of any one term.
The key difference is that the symmetric algebra of an affine space is not a graded algebra, but a filtered algebra: one can determine the degree of a polynomial on an affine space, but not its homogeneous parts.
To determine the degree of a polynomial that is not in standard form (for example ), one has to put it first in standard form by expanding the products (by distributivity) and combining the like terms; for example , and its degree is 1, although each summand has degree 2.