Sentence examples for metric coefficient from inspiring English sources

For example, each element in the index list for the four-metric (g_{munu}) holds the indices of the non-zero element together with a Fortran90 array of the corresponding metric coefficient for the grid block.

Nodes in the maps were clustered with the Markov clustering algorithm, using an overlap coefficient computed by the plugin as the similarity metric (coefficient < 0.5 were set to zero) and an inflation parameter with value of 2. For each cluster leading edge were computed as in Subramanian et al. 2005, [ 29] for each member of a node.

Enrichment maps were generated with Enrichment Map Plugin v1.1 [ 73] developed for Cytoscape [ 74] with the following parameters: FDR < 1%, p-value < 0.005 and using an overlap coefficient computed by the plugin as the similarity metric (coefficient < 0.5 were set to zero).

Emphasis is put on the experimental verification of the theoretical claim that the potentials of the gravitational field are the metric coefficients of a 4-dimensional spacetime geometry.

The metric coefficients a 1 to a 5 are obtained by a nonlinear regression of the prediction model with training sets and they vary with different content.

The squared length element in this coordinate system is found as where g i (i = 1, 2, 3) are metric coefficients.

The transformation enables mesh refinement indirectly via dynamic change of the metric coefficients, while retaining advantages of Cartesian mesh calculations (speed, low memory requirements, and accuracy) conducted fully in the computational domain.

A detailed explanation is provided of the methodology to derive from the experimental data the metric coefficients needed for calculating distances and the hardening modulus function required in the flow equations.

For convenience, all elements can also be accessed directly over intuitive identifiers which point to the storage in the index list, e.g., m%g(mu,nu)%elem yields the grid array of the (g_{munu}) metric coefficients as expected.

Another very important characteristic of the method is that if the differential operator and the metric coefficients are evaluated identically by some hybrid approximation, then the single optimal grid generator can be employed in the entire computational domain independently of points where the hybrid discretization switches from one approximation to another.

We use Chandrasekhar's approach to derive the metric coefficients and the equation of the hydrodynamics governing a perfect fluid in the second post-Newtonian approximation in scalar-tensor theory; all terms inclusive of O(c−4) are retained consistently in the equations of motion.