幾何代数（geometric algebra）は、英国の数学者 W.K.Clifford（1845-1879）が1878年に発表した代数の一種である。 以下のように紹介される。 （幾何学的代数は）物理学の各分野を統合するものである。また、ロボット工学、信号処理、光源追跡法、仮想現実 ...

Recent RNN models deal with various dimensions of MTS as independent channels, which may lead to the loss of dependencies between different dimensions or the loss of associated information between ...

We discuss an approach to gravitational waves based on Geometric Algebra and Gauge Theory Gravity. After a brief introduction to Geometric Algebra (GA), we consider Gauge Theory Gravity, which uses ...

Abstract: Geometric Algebra (GA) has proven to be an advanced language for mathematics, physics, computer science, and engineering. This review presents a comprehensive study of works on Quaternion ...

金谷 健一『幾何学と代数系 Geometric Algebra -ハミルトン,グラスマン,クリフォード』のレビュー アメリカの物理学者ヘステネスを中心に提唱された「幾何学的代数」(geometric algebra) に関する教科書。例を3次元に限定し，その応用に重点を置いている。 もくじ ...

Abstract: We propose a new approach to the camera self-calibration problem, based on geometric algebra. After an introduction on the adopted Clifford algebra framework, we provide new insight on the ...

This repository contains the official implementation of the Geometric Algebra Transformer by Johann Brehmer, Pim de Haan, Sönke Behrends, and Taco Cohen, published at NeurIPS 2023. Problems involving ...

This is a library in development for implementing geometric algebra attention mechanisms (as detailed in the paper Geometric Algebra Attention Networks for Small Point Clouds in tensorflow, keras, ...

The research considers wavelike objects that are elements of even subalgebra of geometric algebra in three dimensions. The used formalism particularly eliminates long existing confusion about the ...