Imagine you have a list of 1s, 2s, 3s, and 4s from which you want to find patterns in the form 1-2-3-4 or 4-3-2-1. The list is about 100,000 items long.<BR><BR>For ...

The discovery may aid research in both mathematics and materials science. “Prime numbers have beautiful structural properties, including unexpected order, hyperuniformity and effective limit-periodic ...

Some mathematical patterns are so subtle you could search for a lifetime and never find them. Others are so common that they seem impossible to avoid. A new proof by Sarah Peluse of the University of ...