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 ...

Compute Christoffel symbols, Riemann tensor, Ricci tensor, and Ricci scalar for a warp-bubble metric ansatz using Sympy, and export all results to a LaTeX document.

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 ...

「Tensor（テンソル）」は、ディープラーニング（深層学習）をはじめとするAI分野や、物理学、数学で使われる用語で、「多次元配列」を意味します。 簡単に言えば、データを入れておくための入れ物のようなもので、その次元数によって「スカラー ...

THE vector analysis of Gibbs and Heaviside and the more general tensor analysis of Ricci are now recognized as standard tools in mechanics, hydro-dynamics and electrodynamics. Their use not only ...