Sentence examples for using the geometric algebra from inspiring English sources

Since versors have structure-preserving properties, all constructions that are made using the geometric algebra would transform nicely in that algebra which implies that they move properly with the Euclidean transformations.

In order to use this structural capability for a given geometry, a good representational space has to be found which then uses the geometric algebra.

The use of SVM in the geometric algebra framework expands its sphere of applicability for multidimensional learning.

It is shown that real-, complex- and quaternion-valued neural networks are simply particular cases of the geometric algebra multidimensional neural networks and that they can be generated using Support Multi-Vector MachineSupport Multi-Vector

Essentially, blades are just elements of the geometric algebra.

The geometric algebra model (G-MODEL) of an EM vector-sensor array is given in [17].

Thus, the geometric algebra-based method significantly decreases the computational burden.

A new index for measuring the closeness to the singularities of parallel manipulators using geometric algebra is proposed in this paper.

In other words, using geometric algebra to model the output imposes stronger constraints between the components of the vector sensor array.

Zou et al. analyzed the 3-D pattern of arbitrary conformal arrays using geometric algebra in [6].

The objective of this paper is exploring implementation of a realistic images reconstruction 3D using geometric algebra (GA).