a simple new closed form of the green function for axisymmetric magnetostatic problemsis found analytically in cylindrical coordinates. the result is verified by applying several examples.

lish Midlands, is famous for its association with Robin Hood, whose statue stands in the shadow of the castle wall. The Sheriff of Nottingham still has a special role in the city government although happily no longer strikes terror into the hearts of the good citizens. Recently a new attraction, a windmill, has appeared on the Nottingham skyline (see figure 1). The sails turn on windy days and ...

Response of a transversely isotropic 3-D half-space subjected to a surface time-harmonic excitation is presented in analytical form. The derivation of the fundamental solutions expressed in terms of displacements is based on the prefect series of displacement potential functions that have been obtained in the companion paper by the authors. First the governing equations are uncoupled in the cyl...

Based on the technique of derivation of a theory, presented in our recent paper [1], we investigate the properties of the derived quantum system. We show that the derived quantum system possesses the (nonanomalous) symmetries of the original one, and prove that the exact Green functions of the derived theory are expressed in terms of the semiclassically approximated Green functions of the origi...

the method of sampling unit was applied according to the importance of the park in urban landscape structure with the initial purpose of planning method to maximize environmental sustainability and recognizing the structural elements within the park. swot technique has been applied to analyze collected data and evaluate the strengths and weaknesses, opportunities and threats of affected areas. ...

Green functions of the biharmonic operator, in one and two dimensions, are used for minimum curvature interpolation of irregularly spaced data points. The interpolating curve (or surface) is a linear combination of Green functions centered at each data point. The amplitudes of the Green functions are found by solving a linear system of equations. In one (or two) dimensions this technique is equ...

We investigate a class of over-determined parabolic problems involving a non-constant boundary condition. The Weinstein’s technique known for the elliptic problems is extended to the parabolic one by means of auxiliary functions and Green classical formula.