In mathematics, ubiquitous objects called groups display nearly magical powers. Though they’re defined by just a few rules, groups help illuminate an astonishing range of mysteries. They can tell you ...

Casey Murphy has fanned his passion for finance through years of writing about active trading, technical analysis, market commentary, exchange-traded funds (ETFs), commodities, futures, options, and ...

Define the Standard Model gauge group to be S ( U ( 2) × U ( 3)), the subgroup of SU ( 5) consisting of block diagonal matrices with a 2 × 2 block and then a 3 × 3 block. (This is isomorphic to the ...

Abstract: We propose a sparsity-promoting feedback control design for stochastic linear systems with multiplicative noise. The objective is to identify an optimal sparse control architecture and ...

Abstract: The computation of matrix pseudoinverses is a recurrent requirement across various scientific computing and engineering domains. The prevailing models for matrix pseudoinverse typically ...

The Earth is always spinning on an imaginary line called an axis. This line goes through the North and South poles. We call this spinning, rotation, and it takes about 24 hours for the Earth to make ...

This repository establishes a robust, highly modular foundation for applying Geometric Algebra (GA) and its extension, Conformal Geometric Algebra (CGA), to solve complex geometry and transformation ...

The Matrix collection depicts a complex science fiction story incorporating many philosophical elements. Written and directed by the Wachowskis and produced by Joel Silver.