Abstract: We construct an extension of spectral and diffusion geometry to multiple modalities through simultaneous diagonalization of Laplacian matrices. This naturally extends classical data analysis ...

We overview the main equations of the Rayleigh–Ritz variational method and discuss their connection with the problem of simultaneous diagonalization of two Hermitian matrices.

This study presents the improvement generated in simultaneous processing by the application of metacognitive instruction to 3 rd grade primary education students. A pre-post-follow-up test design was ...

The original version of this story appeared in Quanta Magazine. Algorithms have become ubiquitous. They optimize our commutes, process payments, and coordinate the flow of internet traffic. It seems ...

For eight straight days, the soccer smorgasbord that is the World Cup has unspooled at regular intervals, each match staggered to bestow it maximum importance, a full 90 minutes of splendor — plus an ...

Simultaneous fracturing (simulfracs) treats multiple wells simultaneously, splitting operations among wells to minimize downtime in stimulation operations. Two recent studies compared simulfrac ...

Single-cell measurements of cellular characteristics have been instrumental in understanding the heterogeneous pathways that drive differentiation, cellular responses to signals, and human disease.

It is well known that a set of non-defect matrices can be simultaneously diagonalized if and only if the matrices commute. In the case of non-commuting matrices, the best that can be achieved is ...