Euclidean space and their functional application for computation analysis

Special Bertrand Curves in semi-Euclidean space E4^2 and their Characterizations

In [14] Matsuda and Yorozu.explained that there is no special Bertrand curves in Eⁿ and they new kind of Bertrand curves called (1,3)-type Bertrand curves Euclidean space. In this paper , by using the similar methods given by Matsuda and Yorozu [14], we obtain that bitorsion of the quaternionic curve is not equal to zero in semi-Euclidean space E4^2. Obtain (N,B2) type quaternionic Bertrand cur...

Euclidean centers: Computation, properties and a MOLP application

The question of centers addresses the issue of how to inscribe an object within a region defined by a set of constraints. More than one centering approach can be defined which leads to a different inscribed object and a different derivation procedure for both the object as well as its center. When attempting to inscribe the largest sphere within the constraints polytope the problem is defined a...

The Euclidean geometry deformations and capacities of their application to microcosm space - time geometry

Usually a Riemannian geometry is considered to be the most general geometry, which could be used as a space-time geometry. In fact, any Riemannian geometry is a result of some deformation of the Euclidean geometry. Class of these Riemannian deformations is restricted by a series of unfounded constraints. Eliminating these constraints, one obtains a more wide class of possible space-time geometr...

Vector and Tensor Analysis in Euclidean Space

Non - Euclidean Functional Analysis and Electronics