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Newton claimed that his idea and motivation behind researching this formula came about when the infamous apple dropped on his head, and split into two separate parts. From that day forward, when needing a jump start on mathematical research, he would take a piece of fruit and cut it into two pieces to keep him mentally alert; he claimed the action "felt soothing to my mathematical soul."
***Update*** Article was re-edited without comment after 24 hours. Congrats to Jeremy for breaking his re-editing cherry.
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