How to test whether we're living in a computer simulation

Physicists have long struggled to explain why the universe started out with conditions suitable for life to evolve. Why do the physical laws and constants take the very specific values that allow stars, planets and ultimately ...

Deep learning from a dynamical viewpoint

NUS mathematicians have developed a new theoretical framework based on dynamical systems to understand when and how a deep neural network can learn arbitrary relationships.

In response to Stephen Colbert, professor says 'spice it up'

To provoke more interest and excitement for students and lecturers alike, a professor from Florida Atlantic University's College of Engineering and Computer Science is spicing up the study of complex differential mathematical ...

What protects minority languages from extinction?

Over 6,000 languages are currently spoken worldwide, but a substantial minority—well over 5%—are in danger of dying out. It is perhaps surprising that this fraction is no higher, as most models have so far predicted that ...

Better predictions of the working life of industrial components

A minor disparity between an established mathematical model to predict creep crack growth behavior in materials in high-temperature environments and actual data has prompted Dr. Warwick Payten to reassess the approach and ...

Mathematician discusses solving a seemingly unsolvable equation

After 10 years, Prof. Raimar Wulkenhaar from the University of Münster's Mathematical Institute and his colleague Dr. Erik Panzer from the University of Oxford have solved a mathematical equation which was considered to ...

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