In an astonishing breakthrough, two young students from Louisiana have done what many thought was impossible: proving ...

The following is an extract from our Lost in Space-Time newsletter. Each month, we hand over the keyboard to a physicist or mathematician to tell you about fascinating ideas from their corner of ...

Learn about Pierre de Fermat's Little Theorem, a result in number theory whose simplicity masks profound implications across ...

Their result is cast in the language of a no-go theorem, which is a proof that, under certain assumptions ... but upon a closer look this unravels into an acyclic structure where demand at time 1 ...

To take a simpler example, think of 18: it has six divisors – 1, 2, 3, 6, 9 ... few ways to prove this – one of the nicest is this proof without words: Another way is to use the properties ...

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The mathematical proof of the stability theorem involves some new results concerning a special system of difference-differential equations. Another stability criterion is derived in terms of more ...

We present a randomized algorithm that essentially resolves the classic negative-weight single-source shortest paths problem.

A new proof has brought mathematicians one step closer ... The primes—numbers that are only divisible by themselves and 1—are the most fundamental building blocks in math.

This is the first time scientists successfully demonstrated error solving in a quantum system using a combination of two ...

Formal verification leverages mathematical techniques such as model checking, theorem proving, and equivalence checking.