Abstract: In this study, two models of multilayer quaternionic feedforward neural networks are presented. Whereas the first model is based on quaternion algebra, the second model uses split quaternion ...
Although linear algebra is regarded as a relatively modern mathematics topic, its ideas have been around for a long time. The first instance of the solution of a system of linear equations, using what ...
GATL is a C++ library for Euclidean, homogeneous/projective, Mikowski/spacetime, conformal, and arbitrary geometric algebras. Geometric algebra is a powerful ...
Cameron Ramsey from the School of Mathematics and Physics was awarded the prestigious undergraduate Hamilton Prize in Mathematics this year by the Royal Irish Academy. Each year the Royal Irish ...
Abstract: The recently developed quaternion Fourier transform (QFT) based on quaternion algebra has been found useful for color image processing and signal analysis. However, due to the noncommutative ...
IN a recent number of this Journal (p. 151) Mr. McAulay puts certain questions to Mr. Heaviside and to me, relating to a subject of such importance as to justify an answer somewhat at length. I cannot ...
Top students can benefit greatly by being offered the subject early. But many districts offer few Black and Latino eighth graders a chance to study it. By Troy Closson From suburbs in the Northeast to ...
ABSTRACT: Originally, Maxwell attempted to express his electromagnetic theory using four-dimensional mathematics of quaternions. Maxwell’s equations were later re-written in a three-dimensional real ...
The results presented here base on the Planck-Kleinert crystal concept. The rigorous use of the quaternion algebra allows postulating the scalar, vectorial and the quaternion propagators in the ideal ...
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