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Renormalization has become perhaps the single most important advance in theoretical physics in 50 years.
Mathematicians have long grappled with the reality that some problems just don’t have solutions.
For millennia, mathematicians have wondered whether odd perfect numbers exist, establishing an extraordinary list of restrictions for the hypothetical objects in the process. Insight on this question could come from studying the next best things.
Professional astronomers may not point their telescopes by hand anymore, but COVID-19 has still closed observatories and impeded research.
Why do mathematicians enjoy proving the same results in different ways?
Researchers are one step closer to injecting probability into deterministic machines.
Mathematicians typically appreciate either generic or exceptional beauty in their work, but one type is more useful in describing the universe.
For pioneering computer scientist Donald Knuth, good coding is synonymous with beautiful expression.
Two women programmers played a pivotal role in the birth of chaos theory. Their previously untold story illustrates the changing status of computation in science.