AI tackles one of math's most brutal problems: Inverse PDEs

Penn Engineers have developed a new way to use AI to solve inverse partial differential equations (PDEs), a particularly challenging class of mathematical problems with broad implications for understanding the natural world.

Mathematical epidemiology: How to model a pandemic

Disease has afflicted humans ever since there have been human. Malaria and tuberculosis are thought to have ravaged Ancient Egypt more than 5,000 years ago. From AD 541 to 542 the global pandemic known as "the Plague of Justinian" ...

How mathematics reveals the nature of the cosmos

Let us discuss the very nature of the cosmos. What you may find in this discussion is not what you expect. Going into a conversation about the universe as a whole, you would imagine a story full of wondrous events such as ...

Theoretical climbing rope could brake falls

University of Utah mathematicians showed it is theoretically possible to design ideal climbing ropes to safely slow falling rock and mountain climbers like brakes decelerate a car. They hope someone develops a material to ...

The hidden structure of the periodic system

The periodic table of elements that most chemistry books depict is only one special case. This tabular overview of the chemical elements, which goes back to Dmitri Mendeleev and Lothar Meyer and the approaches of other chemists ...

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