Even when we know all the rules governing the motion of an object, and can determine precisely the initial conditions, it turns out that some motions can be predicted and some cannot. And it is not just a matter of complexity: we can model unpredictable systems with very simple equations.
Why do humans love to look at patterns? I can only guess, but I’ve written a whole book about new mathematical ways to make them.
Can math solve the congressional districting problem?
What good is all this data if we can’t figure out how to analyze it?
An origami-inspired deployable solar array developed by Brigham Young University may point the way to the future of space exploration and settlement.
Democratic decisions need not be resolved by (simple or weighted) majority vote.
The problem with Romanticism’s concept of the Infinite.
Whatever position you take on finitism, this obscure area of the philosophy of mathematics is well worth understanding.
Machine learning technique transforms low resolution images into scalable mathematical functions that can reconstruct high resolution images from thumbnails.
The SKA will produce as much as ten times the data as total global internet traffic.