In a world of shrinking timelines and growing complexity, modularity isn’t a luxury—it’s a necessity. This eBook explores how PCB designers can move from one-off designs to scalable systems by ...

In the ever-evolving world of technology that is driven by innovation, convenience has become the staple of modern day living. But what exactly is the driving force behind convenience? The answer is ...

Emmy Noether showed that fundamental physical laws are just a consequence of simple symmetries. A century later, her insights continue to shape physics. In the fall of 1915, the foundations of physics ...

Environmental sustainability is increasingly critical. It permeates many sectors of society. An increasingly unexpected place is the world of fashion. Clothing production and associated textile ...

Two years ago, a couple of high school classmates each composed a mathematical marvel, a trigonometric proof of the Pythagorean theorem. Now, they’re unveiling 10 more. For over 2,000 years, such ...

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 ...

Breaking down a machine into systems based on both functionality and resources can simplify design and maintenance, a concept explored in a recent column from Control Design. For controls engineers, ...

Launched in April this year, Modularity creates and develops undersea communication networks using prefabricated modular systems. Modularity was founded by former Global Cloud Xchange CEO Bill Barney.

Pythagoras Theorem: The Pythagoras Theorem is a fundamental principle in geometry, attributed to the ancient Greek mathematician Pythagoras. This theorem establishes a relationship between the sides ...

Here is the statement as I understand it to be, framed as a bijection of sets. My chief reference is the wonderful book Elliptic Curves, Modular Forms and their L-Functions by Álvaro Lozano-Robledo ...