Sentence examples for forms associated to from inspiring English sources

The cumulants of quadratic forms associated to the so-called spatial design matrices are often needed for inference in the context of isotropic processes on uniform grids.

It was established that Cu and Zn were predominantly found in soils in less available forms, associated to organic matter, oxides and clay minerals.

Let G be a connected semisimple Lie group with finite center, and suppose G contains a compact Cartan subgroup T. Certain irreducible unitary representations of G arise as spaces of harmonic forms associated to Dolbeault cohomology of line bundles over the complex homogeneous space G/T.

Others assess the shape of the observed binding patterns either by applying topological tree-based statistics [ 13], or by elucidating properties of the forms associated to the enrichment profiles [ 14].

We prove the Generalized Nash and Logarithmic Nash inequalities for Gibbs measures with Dirichlet form associated to the Kawasaki dynamics.

The approach consists in constructing a locally-defined dissipative potential function by homotopy decomposition of a differential one-form associated to the system drift vector field.

(v) The eigenvalues of the Levi form associated to (bOmega ) are all comparable.  .

The eigenvalues of the Levi form associated to (bOmega ) are all comparable.

We can also define the quadratic form associated to and as (29).

In Figure 10 we plot the lower bound of the coercivity constant of the bilinear form associated to the problem.

In the simple majority game in coalitional form associated to our setup, the set C is the ε-core.