You’ve locked in on your weight loss goals, consistently cut back on calories, and made time for daily workouts. Yet after initially losing a couple of pounds, you just can’t get that number on the ...
The original version of this story appeared in Quanta Magazine. All of modern mathematics is built on the foundation of set theory, the study of how to organize abstract collections of objects. But in ...
Both series have been a mainstay of the streamer’s catalogue for years, but fans will only have a matter of days to binge-watch all seasons. The shows will be leaving the streamer due to the ...
Navigating the world of set theory can feel like exploring a vast and intricate universe. One of the fundamental concepts within this realm is understanding how to determine the number of subsets a ...
Perfecting a social media launch campaign is always a moving target, but one brand has honed a formula that has helped define its overall sales strategy. Set Active, a self-funded seven-year-old ...
Time, not space plus time, might be the single fundamental property in which all physical phenomena occur, according to a new theory by a University of Alaska Fairbanks scientist. The theory also ...
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, ...
A new proof illuminates the hidden patterns that emerge when addition becomes impossible. The simplest ideas in mathematics can also be the most perplexing. Take addition. It’s a straightforward ...
The phenomenon, in which travelers choose vacation destinations based on beloved, sometimes dark, TV series and films, has become one of the biggest trends in travel. By Danial Adkison This article is ...
President Donald Trump has signed an executive order cutting U.S. aid to South Africa, following claims he has made about the country discriminating against white farmers. “South Africa is ...
This phase of the course is all about building up the basic apparatus. We’ve stated our axioms, and it might seem like they’re not very powerful. It’s our job now to show that, in fact, they’re ...
7. For every function f: X → Y f: X \to Y and element y ∈ Y y \in Y, we can form the fibre f − 1 (y) f^{-1}(y). Category theorists will recognize this as a special case of the existence of pullbacks.