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 ...

Abstract: Based on energy conservation, an optical theorem is constructed for a slab having an arbitrary periodic microstructure in a plane. A sum rule for low pass structures is derived using ...

Ancient Indian mathematician Baudhayana was the first person to formulate a theorem on right-angled triangles that in its modern form came to be associated with Greek mathematician Pythagoras, a newly ...

Large language models (LLMs) have astounded the world with their capabilities, yet they remain plagued by unpredictability and hallucinations – confidently outputting incorrect information. In ...

IT is unfortunate that F. P. Wolfkehl's legacy of a prize for settling the vexed question of “Fermat's Last Theorem” should have stimulated such a large erroneous mathematical literature. Most of the ...

Dr. JeFreda R. Brown is a financial consultant, Certified Financial Education Instructor, and researcher who has assisted thousands of clients over a more than two-decade career. She is the CEO of ...

This is an updated version of a story first published on May 5, 2024. For many high school students returning to class, it may seem like geometry and trigonometry were created by the Greeks as a form ...

The project is currently being led by Kevin Buzzard. Until September 2029 it is being funded by grant EP/Y022904/1, awarded by the EPSRC. The project is hosted at Imperial College London. Kevin would ...

The Pythagoras’ theorem in 1D is governed by lines, while in 2D by squares (see picture below). Just like squares appear naturally when transforming the Pythagoras’ theorem from 1D to 2D, octahedrons ...

A University of Tartu student has come up with a new proof of the Pythagorean theorem using origami. While folding paper is already used — even in basic school — to demonstrate the well-known ...

The field of formal verification is all about using mathematically rigorous techniques and tools to prove properties about systems. The applications of formal verification vary widely. There are ...