Tensors are widely used in physics and engineering to describe physical properties that have multiple dimensions and magnitudes. In recent years, they have become increasingly important for data ...

ABSTRACT: We present a tensor description of Euclidean spaces that emphasizes the use of geometric vectors which leads to greater geometric insight and a higher degree of organization in analytical ...

Using superconformal tensor calculus we construct general interactions of N = 2, d = 6 supergravity with a tensor multiplet and a number of scalar, vector and linear multiplets. We start from the ...

THIS book gives a thorough introductory study of the properties of ordinary points in the differential geometry of curves and surfaces in 3-space. Chapter 1 gives an account of twisted curves, Chapter ...

素人×AIが導いた構造テンソル場理論（STFT） このnoteは、物理学の専門教育を受けていない私が、AIとの対話を通じて生まれた仮説「構造テンソル場理論（STFT：Structural Tensor Field Theory）」のアイデアスケッチです。 「力」「エネルギー」「時間」など、物理 ...

This project recasts the attention mechanism from transformers using the language of tensor calculus and differential geometry. Instead of viewing attention as just matrix operations, we reveal its ...