We give a unified probabilistic analysis for a general class of bin packing problems by directly analyzing corresponding mathematical programs. In this general class of packing problems, objects are ...
How to safely reopen offices, schools and other public spaces while keeping people six feet apart comes down to a question mathematicians have been studying for centuries. Sphere packing might seem ...
It’s a tight squeeze. Mathematicians have proved that they know the best way to pack spheres in 8 and 24 dimensions – the first time this problem has been solved in a new dimension in almost 20 years.
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