This video explains eigenvalues and eigenvectors in a fresh, intuitive way, focusing on meaning and visualization rather than memorized formulas. Learn how they describe transformation behavior, why ...

You may have thought you knew what The Matrix is about, but according to the movie’s director, you don’t. According to co-director Lilly Wachowski, the movie’s imagery has been “appropriate[d]” by ...

M. L. Pei [Comm. ACM 5, 10 (Oct. 1962)] gave an explicit inverse for a matrix of the form M + &dgr;I, where M is an n-square matrix of ones and &dgr; is a nonzero parameter. The eigenvalues of the Pei ...

Article subjects are automatically applied from the ACS Subject Taxonomy and describe the scientific concepts and themes of the article. Conventional reservoir flow field characterization methods are ...

Properties from random matrix theory allow us to uncover naturally embedded signals from different data sets. While there are many parameters that can be changed, including the probability ...

Multi-matrix invariants, or equivalently the scalar multi-trace operators of N=4 super Yang-Mills with U(N) gauge symmetry, are in one-to-one correspondence with the elements of the permutation ...

This article presents a from-scratch C# implementation of the second technique: using SVD to compute eigenvalues and eigenvectors from the standardized source data. If you're not familiar with PCA, ...

Still puffily padded but no longer particularly tart, this shape-shifting classic about the girls you love to hate retains its ingratiating charms. By Manohla Dargis When you purchase a ticket for an ...

If you’ve ever stepped foot in a karaoke bar, odds are you know “Leather and Lace” well. This classic (and often replicated) duet between Stevie Nicks and Don Henley is the perfect marriage between a ...