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 ...

Timing is crucial for investment success; static buy-and-hold strategies often underperform due to market cycles and prolonged downturns. Three proprietary portfolio models—Active Premium, ...

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

Abstract: This letter introduces a new refined optimization strategy to achieve the pencil/shaped beam pattern synthesis of uniform amplitude rotated linear aperiodic array including the mutual ...

You can find more maths past papers and mark schemes on the CCEA website. Papers going back as far as 2018 are available there, in both standard and modified versions ...

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 ...

Thanks for the nice work! One question for the setting of the rotation matrix optimization. In the example of the README file (step 1), rotation matrices are optimized for the weight-activation ...