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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.

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 quadratic form Q(z) is said to be positive definite if Q(z)>0 for z!=0. A real quadratic form in n variables is positive definite iff its canonical form is ...

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.

An operator in logic which returns either true or false.