1. Identifying Polynomials, Monomials, Binomials and Trinomials

2. Algebra Topics Integers Rational Numbers Real Numbers Absolute Value Algebraic Expressions Equations Polynomials Monomials Linear Equations

3. Supported geometric primitives include polygons, subdivision surfaces, and trimmed free-form surfaces such as NURBS, Bézier, and Taylor monomial.

4. We generalize the notion of a regular system of parameters, and prove that for ideals generated by monomials in such elements, the integral closure and Adjoints are generated by monomi-als.

5. A fully symmetric Cubature rule, approaching the Gaussian weighted integral of a nonlinear function in general form, is introduced, and the specific points and weights are calculated by matching the monomials of degree not greater than five with the exact values.