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| Burkard Polster |
- Riemann series theorem
- Riemann rearrangement theorem
Wednesday, July 13, 2016
Burkard Polster: Riemann's paradox: pi = infinity minus infinity
Alex Clark: 163 and Ramanujan Constant
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| Alex Clark |
- e^(√163 * π) = 262 537 412 640 768 743.9999999999992500 ...
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| Ramanujan constant |
Meghan Gray: 29 and Leap Years (閏年)
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| Megan Gray |
- One Earth's orbit takes 365 days 5 hours 49 mins 16 seconds
- For every year, 1/4 day - 644 secs is shortened.
- For every 4 years, 1 day is added to cancel the shortage of 1 day (1/4 day per year). This still leaves the excess of 2576 secs (644 secs per year).
- For every 100 years, 86400 secs (1 day) is removed (leap year is canceled) from the accumulated excess of 64400 secs. This leaves shortage of 22000 secs after 100 years.
- For every 400 years, 86400 secs (1 day) is added to cancel the shortage of 88000 secs, which leaves shortage of 1600 secs.
Roger Bowley and James Grime: 1729 and Taxi Cabs: Hardy-Ramanujan Number (ハーディ＝ラマヌジャン数)
- Srinivasa Ramanujan (シュリニヴァーサ・ラマヌジャン)
- G. H. Hardy (ゴッドフレイ・ハロルド・ハーディ)
- Taxicab number (タクシー数)
- Cube (立方数)
- T(n)
- n distinct ways (n通り)
T(2):
T(2) = 1729 = 12^3 + 1^3or
= 9^3 + 10^3
Monday, July 11, 2016
Sunday, July 10, 2016
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