Mathematics

Researchers are applying evolutionary theory to cancer by changing treatments before tumors have time to develop resistance. Mathematical models suggest that rapid, carefully timed switches between multiple therapies could improve cure rates.

A team of mathematicians used whimsical "silly sprinklers" to solve a physics mystery that has puzzled scientists for decades. Their experiments showed that the rotation of both normal and reverse sprinklers is driven by the momentum of flowing water, not by the outside water flow or other long-standing theories. The results finally provide a clear answer to Feynman’s famous sprinkler problem. They could also help engineers design more efficient fluid-powered machines.

Scientists have combined machine learning with quantum physics to discover two new superconductors and create a much faster way to search for many more. The technique could bring researchers significantly closer to the long-sought goal of a room-temperature superconductor.

Quantum mechanics has journeyed from a strange and controversial idea to the foundation of some of humanity’s most advanced technologies. Now researchers are pushing its boundaries even further, with potential breakthroughs in energy, medicine, computing, and our understanding of the universe.

Researchers developed a Wordle-solving strategy that succeeds 99% of the time by focusing on information gain rather than likely answers. The method uses Shannon entropy to identify guesses that reveal the most about the hidden word. Each guess is designed to slash uncertainty and narrow the possibilities faster. The result significantly outperformed more traditional Wordle tactics.