Abstract: The octonion Fourier transform (OFT) is a useful tool for signal processing and analysis. However, due to the lack of time localization information, it is not suitable for processing signals ...

GATL is a C++ library for Euclidean, homogeneous/projective, Mikowski/spacetime, conformal, and arbitrary geometric algebras. Geometric algebra is a powerful ...

Adam Hayes, Ph.D., CFA, is a financial writer with 15+ years Wall Street experience as a derivatives trader. Besides his extensive derivative trading expertise, Adam is an expert in economics and ...

A function is a relation such that for each \(x\)-value there is only one corresponding \(y\)-value. In other words, a function cannot contain two different ordered pairs with the same first ...

Fifty years ago, “fractal” was born. In a 1975 book, the Polish-French-American mathematician Benoit B. Mandelbrot coined the term to describe a family of rough, fragmented shapes that fall outside ...

Will Kenton is an expert on the economy and investing laws and regulations. He previously held senior editorial roles at Investopedia and Kapitall Wire and holds a MA in Economics from The New School ...

As a person with a chronic illness, I'm no stranger to bloodwork. I used to pore over my lab results, googling the various meanings, and trying not to panic when a test fell out of range. Function ...

The ancient Greeks wanted to believe that the universe could be described in its entirety using only whole numbers and the ratios between them — fractions, or what we now call rational numbers. But ...

A tug of war in San Francisco over whether to teach algebra in eighth or ninth grade gets at wider national questions about serving all students fairly. By Soumya Karlamangla How to make algebra ...

Your working memory, cognitive flexibility, and self-regulation are core components of executive function (EF), an interrelated set of mental skills that lay the foundation for advanced cognitive ...

Abstract: In order to address the performance degradation of the geometric algebra LMS algorithms (GA-LMS) in the face of non-Gaussian disturbances, this brief proposes a robust adaptive filtering ...