How do pedestrians behave in a large crowd? How do they avoid collisions? How can their paths be modeled? A new approach developed by mathematicians from Würzburg and Nice provides answers to these questions.
Mathematicians have opened a new chapter in the theory of moonshine, one which begins to harness the power of the pariahs - sporadic simple groups that previously had no known application.
People who tend to trust their intuition or to believe that the facts they hear are politically biased are more likely to stand behind inaccurate beliefs, a new study suggests.
Identical twins are similar to each other in many ways, but they have different experiences, friends, and lifestyles.
Kohn-Sham density functional theory is one of the most successful theories in chemistry. It is formally rigorous; its relatively low computational cost and competitive accuracy in small and medium-sized systems make it one ...
Researchers have now succeeded in formulating a mathematical result that provides an exact answer to the question of how chaos actually behaves. The researchers have analysed chaotic states at the atomic level.
Fujitsu and the Institute of Mathematics for Industry at Kyushu University have developed an AI-based matching technology that uses game theory to automatically calculate an optimal matching of children to daycare centers. ...