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Randomness is surprisingly hard to define. Fortunately the mathematical language we use to describe it is beautifully well defined.
The second guiding principle in probability theory is more subtle – universality.
Symmetry is one of the two guiding principles in understanding probabilities – if different outcomes are equivalent they should have the same probability.
The pioneering mathematician talks about his work, computer science and artificial intelligence.
We talk to pioneering mathematician Stephen Cook, who came up with the concept of NP-complete problems, about his work, computer science, and artificial intelligence.
Want to understand chaos? Then have a look at Smale's famous horseshoe map.
Want to understand chaos? Then have a look at this famous brainchild of the mathematician Stephen Smale.
PhD student Yipeng Huang talks to us about his work in analog computing.
Young researchers at this year's Heidelberg Laureate Forum tell us about their work.
Fred Morstatter talks to us about biases in social media data and how to avoid them.
In this short clip the Fields medallist tells us about his bad marks at school and his fascinatingly eclectic work as a mathematician.