Curvature equations lie at the heart of differential geometry and the analysis of hypersurfaces, providing a rigorous framework for understanding the intrinsic and extrinsic geometric properties ...

Abstract Recently suggested scheme [1] of quantum computing uses g-qubit states as circular polarizations from the solution of Maxwell equations in terms of geometric algebra, along with clear ...

Recent decades have witnessed a bloom in research at the interface of complex geometry and nonlinear partial differential equations. This interdisciplinary field explores the deep and intricate ...

An important part of geometry computations for synthetic aperture radar (SAR) carried on a satellite platform is to convert between the instrument-specific coordinate system and a geocentric ...

The ``Jackiw-Nair'' non-relativistic limit of the relativistic anyon equations provides us with infinite-component wave equations of the Dirac-Majorana-Levy-Leblond type for the ``exotic'' particle, ...

The Poisson's equation for a dielectric wedge is solved by deriving a static image that corresponds to the potential contribution of the wedge. The problem is studied mainly in three dimensions but ...

Article citations More>> Grayson, M.A. (1987) The Heat Equation Shrinks Embedded Plane Curves to Round Points. Journal of Differential Geometry, 26, 223-370. has been cited by the following article: ...

Equation of a plane in different forms, the intersection of a line and a plane, coplanar lines (from Unit 12: Three Dimensional Geometry) Scalar and vector triple product (from Unit 13: Vector Algebra ...