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A line segment on the boundary of a face, also called a side.

An equation of the form P(x)=0, where P(x) is a polynomial.

A homogeneous polynomial in two or more variables.

If a polynomial P(x) is divided by (x-r), then the remainder is a constant given by P(r).

The ring R[x] of polynomials in a variable x.

A sequence of polynomials p_i(x), for i=0, 1, 2, ..., where p_i(x) is exactly of degree i for all i.

The difference between the highest and lowest degrees of a polynomial.

The vertex of a polytope is a point where edges of the polytope meet.

A tensor g whose discriminant satisfies g=g_(11)g_(22)-g_(12)^2>0.

The relationship x precedes y is written x≺y. The relation x precedes or is equal to y is written x<=y.