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- W9327061 abstract "Ivan Niven's proof of the irrationality of π is often cited because it is brief and uses only calculus. However it is not well motivated. Using the concept that a quadratic function with the same symmetric properties as sine should when multiplied by sine and integrated obey upper and lower bounds for the integral, a contradiction is generated for rational candidate values of π This simplifying concept yields a more motivated proof of the irrationality of π and π2." @default.
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- W9327061 date "2010-01-01" @default.
- W9327061 modified "2023-09-27" @default.
- W9327061 title "Discovering and Proving that π Is Irrational" @default.
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- W9327061 doi "https://doi.org/10.4169/000298910x492853" @default.
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