In this method, the inverse kinematic solution can be optimized through constructing a weighted matrix. Following this approach, some fundamental interpolation algorithms are proposed for Cartesian ...

However, common density interface forward modeling and inversion algorithms in Cartesian coordinate system are unsuitable for large regional scales, while conventional algorithms in spherical ...

A team of scientists accidentally visualized a hidden spiral in the Oort Cloud, and it might change everything we know about ...

The most fundamental concept behind the mathematics governing this project is the transition between coordinate systems in order to obtain the solution to partial differential equations in the most ...

An illustration of a magnifying glass. An illustration of a magnifying glass.

An accidental discovery might change how we think about one of the most mysterious structures in our solar system.

In this paper, the formulations of the couple stress based flexoelectric theory in orthogonal curvilinear coordinates are presented. By following the two rules of transforming tensor equations from ...