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height on a point in projective space over Q, or of a polynomial, regarded as a vector of coefficients, or of an algebraic number, from the height of...

that vertex; In algebraic number theory, a "height function" is a measurement related to the minimal polynomial of an algebraic number; among other uses...

of the dimension of an algebraic variety: the dimension of the affine variety defined by an ideal I in a polynomial ring R is the Krull dimension of R/I...

mathematics, a quadratic polynomial is a polynomial of degree two in one or more variables. A quadratic function is the polynomial function defined by a quadratic...

{\displaystyle M(p)} of a polynomial p ( z ) {\displaystyle p(z)} with complex coefficients is defined as M ( p ) = | a | ∏ | α i | ≥ 1 | α i | = | a | ∏ i = 1 n...

vector of a lattice be computed in polynomial time on a classical or quantum computer? Can the graph isomorphism problem be solved in polynomial time?...

by a polynomial of degree four, called a quartic polynomial. A quartic equation, or equation of the fourth degree, is an equation that equates a quartic...

A polynomial weir is a weir that has a geometry defined by a polynomial equation of any order n. In practice, most weirs are low-order polynomial weirs...

The Tutte polynomial, also called the dichromate or the Tutte–Whitney polynomial, is a graph polynomial. It is a polynomial in two variables which plays...

fitting successive sub-sets of adjacent data points with a low-degree polynomial by the method of linear least squares. When the data points are equally...

monic irreducible polynomial x8 + x4 + x3 + x + 1 over GF(2) is not primitive. Let λ be a root of this polynomial (in the polynomial representation this...

Ehrhart polynomial that encodes the relationship between the volume of a polytope and the number of integer points the polytope contains. The theory of Ehrhart...

the coefficients of the polynomial. Order the polynomials by their height, and order the real roots of polynomials of the same height by numeric order...

The geoid is often expressed as a geoid undulation or geoidal height above a given reference ellipsoid, which is a slightly flattened sphere whose equatorial...

Zolotarev polynomials are polynomials used in approximation theory. They are sometimes used as an alternative to the Chebyshev polynomials where accuracy of approximation...

defining polynomial of the hypersurface has a power that belongs to the ideal generated by the defining polynomials of the algebraic set. A corollary of this...

written as a product of irreducible elements, uniquely up to order and units. Important examples of UFDs are the integers and polynomial rings in one...

struggle with polynomials that have large coefficients or are ill-conditioned. Improving this situation involves finding a minimal height companion matrix...

of the field of fractions of A that is a root of a monic polynomial with coefficients in A, then x is itself an element of A. Many well-studied domains...

the construction of the Jones polynomial. Next, we normalise [D] by a series of degree shifts (in the graded vector spaces) and height shifts (in the cochain...