Sentence examples for mean green operator from inspiring English sources
Simple closed forms for this mean Green operator and for its different parts are newly obtained.
The Direct (RT) and inverse (IRT) Radon Transforms, which allow specification of the different contributions to the mean Green operator of the pattern in simple geometrical terms, are used.
In the simplest cases, this decomposition can allow to obtaining the global mean Green operators (gmGos) of many patterns from the knowledge of a single miGo type.
In several successive papers, the author and co-workers have presented analytical forms of global mean such "Green operators" for various inclusion shapes and patterns obtained from fully taking benefit of the geometrical nature of the Radon transform and of its inversion formula.
For respectively fully or transversally isotropic elasticity of the embedding material, they have a mean and a central Green operator integral both equal to the uniform one of respectively the sphere or the cylindrical fibre.
Recently, an analytical solution has been provided for mean and axial Green operators (GO) of circular cylindrical inclusions with finite length in 3D isotropic (elastic-like and dielectric-like) materials, from long rods to truly penny-shaped ones.
I believed in being a mean green.
The generalized Green operator (16) has the following property: (17).
Analytic solutions are represented using the generalized Green operator.
Now we collect some preliminary estimates of the Green operator.
