Sentence examples for and the total degree from inspiring English sources

Factors affecting these forms include copolymer composition, w-parameters and the total degree of polymerization [12].

This can be divided into the total degree of internal edges (P IN ), which connect 2 genes within a particular pathway and the total degree of external edges (P EX ) that connect genes inside and outside a pathway.

If f n P ( z, f ) = Q ( z, f ) holds and if the total degree of Q ( z, f ) in f and its derivatives and their shifts is ≤n, then m ( r, P ( z, f ) ) = S ( r, f ).

Numerical results are presented, which confirms the quasi-optimal convergence of the adaptive edge element method in terms of the numerical accuracy and the total degrees of freedom.

The PC i) of a node i is defined as

where κ i s is the number of links of node i to nodes in modules s, and k i is the total degree of node i.

where κ i C is the number of links of node i to nodes in module C, and k i is the total degree of node i.

These spaces are bigraded, with one grading denoting the length of a tensor product, and the other denoting the total degree.

The partition coefficient P i is defined as (8) P i = 1 - ∑ s = 1 N M (k is / k i ) 2, where k is is the number of links of node i to nodes in the module s, and k i is the total degree of node i.

The nodes or edges involved in a modification are chosen probabilistically based on their degrees (as in [ 31]) according to the following expressions: (13) P (u ∣ node duplication ) ∝ 1 / k u P (u ∣ node loss ) ∝ 1 / k u (14) P ((u, v ) ∣ interaction gain ) ∝ k u o P ((u, v ) ∣ interaction loss ) ∝ 1 / k u o, where k u o is the out-degree of a node u, and k u is the total degree.

Since the total degree and the degree of (s^{prime }_{m}) with respect to each symmetric variable σ i are lower than those of s m with respect to all non-symmetric variables x i, the degrees of the equations in the resulting system are also lower and the system is easier to solve.