Sentence examples for partition associated with from inspiring English sources

where, and is the power partition associated with the stronger user on the th subchannel.

Let (Im_{h}^={V_{z}}) be a dual partition associated with (Im_{h}) (see [21]), where (V_{z}) is surrounded by the line segments between the barycenter (boldsymbol {z}_{K}in KinIm_{h}) and the midpoints of the edges of K, sharing the vertex z of K (see Figure 1).

Therefore, unlike carbon, manganese partitioning associated with cementite growth is localized to the immediate region near the grain boundary/cementite reaction front.

Both thick- and thin-skinned deformation styles have been suggested to occur in the Marañón Fold-Thrust Belt (MFTB) in Peru, but the relative timing and strain partitioning associated with them are not well understood.

A notable feature of this procedure is that we avoid the problem of determining vertex partitions associated with an equivalence relation that can be often computationally expensive.

Mixing calculations based on gaseous groundwater age indicators could also be used to partition recharge associated with agricultural irrigation or artificial wetland supplementation.

Further we give general conditions for the partition functions associated with general spin chains to be of this type and provide various families of examples for which these conditions are satisfied.

Alternatively, mutation to the smaller aliphatic amino acid side chains led to a destabilization in the active site structure which was accompanied by increases in the partition ratios associated with abortive complex formation.

We define a space, called split space, where every possible nontrivial partition is associated with a unique dimension.

We are only interested in the determinant of this matrix since only the latter is involved in the microcanonical partition function associated with the non-Hamiltonian system.

The configurational canonical partition function associated with such an ensemble is obtained by marginalising the momenta in (11): (21) Z N, V, T ≡ ∫ d r N exp ⁡ − β U r N. It may also be defined as (22) Q N, V, T ≡ M N Z N, V, T, where the constant (23) M N = 1 h 2 β / 2 π m A 3 N A N A ! h 2 β / 2 π m B 3 N B N B ! ⋯ takes into account the indiscernibility of the constituent atoms.