All of modern mathematics is built on the foundation of set theory, the study of how to organize abstract collections of objects. But in general, research mathematicians don’t need to think about it ...

It's highly recommended to recruit Aza before completing this quest. Aza's companion quest requires you to clear out the N-Ray Range anyway, so you can kill two birds with one stone. Acquire the N-Ray ...

The “Discrete Mathematics” quest in The Outer Worlds 2 comes with a hefty stack of obstacles, starting with its pickup point. You’ll have to avoid explosives, defeat invisible enemies, and solve a ...

Abstract: This article proposes a novel robust state estimation method for discrete linear time-invariant systems by using the positive system theory and the set theory to overcome the disadvantages ...

Can you chip in? This year we’ve reached an extraordinary milestone: 1 trillion web pages preserved on the Wayback Machine. This makes us the largest public repository of internet history ever ...

The hardest part of losing weight may be keeping it off. Research supports this conclusion. Some scientists believe that the human body has a set point weight that it returns to. If you lose weight, ...

The mathematics behind artificial intelligence (AI) and machine learning (ML) rely on linear algebra, calculus, probability, and statistics. These provide the foundation for developing the needed ...

for all infinite sets X X and Y Y. Proving this required most of the concepts and results from the second half of the course: well ordered sets, the Cantor–Bernstein theorem, the Hartogs theorem, Zorn ...

Katie has a PhD in maths, specializing in the intersection of dynamical systems and number theory. She reports on topics from maths and history to society and animals. Katie has a PhD in maths, ...