Selecting a random sample from a set is simple. But what about selecting a fair random sample from a set of unknown or ...

Mathematicians soon hypothesized that as your set gets bigger, the biggest sum-free subsets will get much larger than N /3.

Prime numbers, those integers divisible only by one and themselves, have fascinated mathematicians for millennia. Their ...

When enterprise adoption requires server farms full of energy-hungry GPUs just to run basic AI services, we face both an ...

Mastering mathematical symbols is essential for success in various fields, from science to technology. The article breaks ...

Using a notion called integer partitions, mathematicians have discovered a new way to detect prime numbers while also ...

ABSTRACT: The Collatz Conjecture asserts that for all positive integers s , every Syracuse integer sequence defined by T( s )=s/2 if s is even, and T( s )= ( 3s+1 )/2 otherwise, eventually reaches 1 ...

Follow live coverage of the French Open men’s final between Jannik Sinner and Carlos Alcaraz today ROLAND GARROS, PARIS — Friday night at the French Open, Novak Djokovic played a level of ...

Humans are finite creatures. Our brains have a finite number of neurons and we interact with a finite number of people during our finite lifetime. Yet ...

Erdős knew that any set of integers must contain a smaller, sum-free subset. Consider the set {1, 2, 3}, which is not sum-free. It contains five different sum-free subsets, such as {1} and {2, 3}.

In particular, Cantor showed that the set of real numbers, which can be written as infinite decimals, must be strictly larger than the set of integers. The set of real numbers, in turn, is smaller ...

In particular, Cantor showed that the set of real numbers, which can be written as infinite decimals, must be strictly larger than the set of integers.