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→Iterative algorithm: Fixed terminology Tags: Mobile edit Mobile web edit |
→Iterative algorithm: Fixed informal language |
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:<math>{} 3.141024 < \pi < 3.142704.</math>
He never took {{pi}} as the average of the lower limit 3.141024 and upper limit 3.142704. Instead he suggested that 3.14 was a good enough approximation for {{pi}}, and expressed it as a fraction <math>\tfrac{157}{50}</math>; he pointed out this number is slightly less than the
Liu Hui carried out his calculation with [[rod calculus]], and expressed his results with fractions. However, the iterative nature of Liu Hui's {{pi}} algorithm is quite clear:
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