Reversible programs run backward as easily as they run forward, saving energy in theory. After decades of research, they may ...

Black hole and Big Bang singularities break our best theory of gravity. A trilogy of theorems hints that physicists must go ...

Manu Prakash works on the world’s most urgent problems and seemingly frivolous questions at the same time. They add up to a ...

One computer scientist’s “stunning” proof is the first progress in 50 years on one of the most famous questions in computer ...

Changes in the number, shape, efficiency and interconnectedness of organelles in the cells of flight muscles provide extra ...

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

Since the start of the 20th century, the heart of mathematics has been the proof — a rigorous, logical argument for whether a given statement is true or false. Mathematicians’ careers are measured by ...

On the afternoon of September 30, 1906, a crowd of 200,000 Parisians congregated near the city’s center to watch the premiere of what would become the world’s most prestigious gas balloon race.

After identifying interlocking symmetries in mammalian cells, scientists can describe some tissues as liquid crystals — an observation that lays the groundwork for a fluid-dynamic theory of how ...