Abstract: This paper deals with distorted statistics as statistics based on distorted probabilities by applying Choquet calculus. First, elementary distorted statistics on the nonnegative line is ...

Timothy Li is a consultant, accountant, and finance manager with an MBA from USC and over 15 years of corporate finance experience. Timothy has helped provide CEOs and CFOs with deep-dive analytics, ...

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 ...

Abstract: This paper proposes two methods for computing fractional-order calculus in discrete time. While previous research has presented a calculation method for discrete-time differences using ...

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.

It is 70 years since AT&T’s Bell Labs unveiled a new technology for turning sunlight into power. The phone company hoped it could replace the batteries that run equipment in out-of-the-way places. It ...

‘I had to save my life’: Inside Katie Johnston’s powerful transformation after MAFS It's Time to Stop Eating Plastic. Start by Trashing These 7 Items Full of Microplastics Artificially sweetened soft ...

In a world where change is not only a constant but also rapidly accelerating, conventional thought patterns are not merely insufficient—they're risky. As an innovation expert, I've observed that the ...