The tablet known as Plimpton 322, dated to around 1800 BCE, contains 15 rows of numbers linked to Pythagorean triples (numbers that you could use to draw right triangles). These were not just simple ...

Circles have different angle properties, described by a number of theorems. This is one of two guides on circle theorems, with this guide covering the following: the angle subtended by an arc at the ...

Use Pythagoras’ theorem to show a triangle is right-angled or to find one side of a right-angled triangle when two sides are known. Make sure you are confident at substituting into and manipulating ...

Emmy Noether was a mathematician who discovered perhaps the most profound idea in contemporary physics. Noether’s theorem, which she formulated in 1915, says that symmetries in the universe give rise ...

Understand Thevenin’s Theorem the easy way with a clear, step-by-step circuit example. Learn how to simplify complex electrical networks into an equivalent circuit, making analysis faster and ...

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

Machine learning models are designed to take in data, to find patterns or relationships within those data, and to use what they have learned to make predictions or to create new content. The quality ...

Quantum entanglement occurs when two subatomic particles become linked in such a way that their properties remain connected, no matter how far apart they are. A change to one particle seems to ...

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...

Daniel Liberto is a journalist with over 10 years of experience working with publications such as the Financial Times, The Independent, and Investors Chronicle. Robert Kelly is managing director of ...

Misconceptions about the nature and practice of science abound and are sometimes even held by otherwise respectable practicing scientists themselves. I have dispelled some of them (misconceptions, not ...

In their peer-reviewed work, Calcea Johnson and Ne'Kiya Jackson present five new ways of proving Pythagoras' Theorem via trigonometry. They also detail a new method for finding proofs that yield at ...