Sentence examples for mixed volume of from inspiring English sources

In addition, we propose an efficient algorithm for computing the Mixed Volume of n polynomials in n variables, which provides an upper bound on the number of common roots.

Here, denotes the L p -dual mixed volume of [3].

The dual mixed volume of star bodies was introduced by Lutwak (see [15]).

If, for, the -dual mixed volume,, of the and is defined by (see [2]).

It is called the dual mixed volume of (K_{i_{1}},ldots,K_{i_{n}}).

If are star bodies in, then for, the dual mixed volume,, of and was defined by [4] (2.6).

The solution for monomial ideals is given by the mixed volumes of polytopes.

There is a remarkable similarity between inequalities about symmetric functions (or determinants of symmetric matrices) and inequalities about the mixed volumes of convex bodies.

In this paper, we obtain some Bonnesen-style Minkowski inequalities of mixed volumes of convex bodies K and L in the Euclidean space R n.

In this paper, we study the mean chord of (L_{p}) harmonic radial combinations of star bodies and get an upper bound for dual mixed volumes of (L_{p}) harmonic radial combination of star bodies and their polar bodies.

The coefficients (V(K_{i_{1}},ldots,K_{i_{n}})) are nonnegative, symmetric in the indices, and are called mixed volumes of (K_{i_{1}},ldots,K_{i_{n}}).