We study a charged and massive scalar field in the background of Nutku-Ghezelbash-Kumar metric which is obtained by addition time coordinate to Nutku helicoid non-trivial way. The angular part Klein-Gordon equation can be written as double confluent Heun equation. radial cannot solved terms known function its general form. However, some special cases, also explicitly full numerically observe th...

Abstract We demonstrate how to make the coordinate transformation or change of variables from Cartesian coordinates curvilinear by making use a convolution function with Dirac delta functions whose arguments are determined between two systems. By integrating out an original function, we replace new in systematic way. A recursive allows successively. After replacing every into coordinate, find t...

Long-term demand forecasting presents the first step in planning and developing future generation, transmission and distribution facilities. One of the primary tasks of an electric utility accurately predicts load demand requirements at all times, especially for long-term. Based on the outcome of such forecasts, utilities coordinate their resources to meet the forecasted demand using a least-co...

Abstract The ray series method may be generalized using a ray centered coordinate system for general 3D-heterogeneous media. This method is useful for Amplitude Versus Offset (AVO) seismic modeling, seismic analysis, interpretational purposes, and comparison with seismic field observations.For each central ray (constant ray parameter), the kinematic (the eikonal) and dynamic ray tracing system ...

space E we mean an m-differentiable manifold H with coordinates in a space T such that (1) T is a space E and H has allowable k coordinate systems^ (2) the differentials of the coordinate transformations possess adjoints with respect to the inner product [x, y] of E at each point of their domains of definition; (3) there exists a covariant vector field valued linear form, called a metric form, ...

0965-9978/$ see front matter 2009 Elsevier Ltd. A doi:10.1016/j.advengsoft.2009.12.015 * Tel.: +1 915 747 6762. E-mail address: [email protected] The general-purpose partial differential equation (PDE) solver PDE2D uses a Galerkin finite element method, with standard triangular elements of up to fourth degree, to solve PDEs in general 2D regions. For 3D problems, a very different approach is...

In this paper robot control algorithms are considered from the point of view of computational complexity. All the algorithms provide for hybrid position and force control which is appropriate to unstructured environments. Both joint coordinate and generalized coordinate motion schemes are considered. The findings are interesting in that the peripheral processing involved in all methods, sometim...

When solving physical problems, one must often choose between writing formulas in a coordinate independent form or a form in which calculations are transparent. Tensors are important because they allow one to write formulas in a manner that is both coordinate independent and transparent in performing calculations. In these notes, I provide an informal introduction to tensors (in Euclidean space...