Recently, Mircea Merca conjectured a formula for the floor of the average of the square roots of the first n natural numbers. We prove his conjecture and some related identities. Journal Information ...
Today is Cinco de Mayo. And this year, the fifth of May is filled with mathematical joy. It is — Square Root Day! It all started in 1981. "I was writing a check in late August," says Ron Gordon, who ...
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