Let's delve into the fascinating world of piecewise functions, focusing specifically on those exhibiting discontinuous domains. While often perceived as complex, these functions are powerful tools for ...

The concept of continuity in mathematics, particularly in the realm of functions, is fundamental. It speaks to the unbroken nature of a function's graph, allowing us to trace it without lifting our ...

Abstract: It is well-known that solutions to parametric linear or quadratic programs are continuous piecewise affine functions of the parameter. In this paper we prove the converse, i.e. that every ...

Does quantum mechanics really reflect nature in its truest form, or is it just our imprecise way of describing the weird properties of the very small? A famous test that can help answer this question ...

Victor Wembanyama speaks to the media at Spurs media day. Ronald Cortes / Getty Images We have no idea how tall Victor Wembanyama is. The San Antonio Spurs superstar is taller than everybody else ...

The HBR Playbook on overcoming change fatigue and positioning your people for agility. by Ania W. Masinter The amount and pace of organizational change today is staggering. Gartner research found that ...

Blake has over a decade of experience writing for the web, with a focus on mobile phones, where he covered the smartphone boom of the 2010s and the broader tech scene. When he's not in front of a ...

The original version of this story appeared in Quanta Magazine. Calculus is a powerful mathematical tool. But for hundreds of years after its invention in the 17th century, it stood on a shaky ...

In the late 19th century, Karl Weierstrass invented a fractal-like function that was decried as nothing less than a “deplorable evil.” In time, it would transform the foundations of mathematics.

“The Norwegian Parliament has adopted a brave resolution which will have a great positive impact on conserving our UNESCO World Heritage marine site,” Katrin Blomvik, director of the Geirangerfjord ...

Imagine a movie character’s day going exactly as she planned: her organization systems make her space pristine, she’s on time or early for everything, her focus rivals an Olympian’s, and she adheres ...