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Renormalization has become perhaps the single most important advance in theoretical physics in 50 years.
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.
Why do mathematicians enjoy proving the same results in different ways?
For pioneering computer scientist Donald Knuth, good coding is synonymous with beautiful expression.