## 960 Citations

### Double conformal space-time algebra

- Mathematics
- 2016

The Double Conformal Space-Time Algebra (DCSTA) is a high-dimensional 12D Geometric Algebra G4,8that extends the concepts introduced with the Double Conformal / Darboux Cyclide Geometric Algebra…

### Geometric Calculus -- Engineering Mathematics for the 21st century

- Mathematics
- 2002

This paper treats important questions at the interface of mathematics and the engineering sciences. It starts off with a quick quotation tour through 2300 years of mathematical history. At the…

### A Geometric Procedure for Computing Differential Characteristics of Multi-phase Electrical Signals using Geometric Algebra

- MathematicsArXiv
- 2022

. This paper presents exploratory investigations on the concept of generalized geometrical frequency in electrical systems with an arbitrary number of phases by using Geometric Algebra and…

### Validación de la triangulación Delaunay empleando algebra geométrica conforme

- Mathematics
- 2016

When Delaunay triangulation is performed in an incremental fashion, different steps are involved in the process. Within those steps “reconstruction” is the most important stage when a new point is…

### Applications of the Clifford algebra valued boundary element method to electromagnetic scattering problems

- Mathematics
- 2016

### Delaunay Triangulation Validation Using Conformal Geometric Algebra

- MathematicsComputación y Sistemas
- 2016

This paper focuses on the use of the Conformal Geometric Algebra (CGA) to perform validation of Delaunay triangulation, and includes a mathematical environment change to show the advantages of using CGA’s geometric entities and use them inside a module for validating the triangulating.

### Classical field theories from Hamiltonian constraint: Canonical equations of motion and local Hamilton-Jacobi theory

- Mathematics
- 2015

Classical field theory is considered as a theory of unparametrized surfaces embedded in a configuration space, which accommodates, in a symmetric way, spacetime positions and field values. Dynamics…

### Clifford algebra with mathematica

- Mathematics
- 2015

The Clifford algebra of a n-dimensional Euclidean vector space provides a general language comprising vectors, complex numbers, quaternions, Grassman algebra, Pauli and Dirac matrices. In this work,…

### Basic Multivector Calculus

- Mathematics
- 2013

We begin with introducing the generalization of real, complex, and quaternion numbers to hypercomplex numbers, also known as Clifford numbers, or multivectors of geometric algebra. Multivectors…

### Geometric Calculus for Engineers

- Mathematics
- 2013

It is argued that this role is very likely to be played by (universal) geometric calculus, and the fundamental geometric product of vectors is introduced.