Ryuma Kidokoro |
Wednesday, July 13, 2016
Meghan Gray: 29 and Leap Years (閏年)
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.
ラベル:
Calendar,
Century leap year,
Day,
Earth's orbit,
Heliocentric orbit,
Julian day,
Leap year,
People,
Year,
ユリウス通日,
太陽周回軌道,
年,
日,
暦,
閏年
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
ラベル:
Cube (algebra),
Taxicab,
Taxicab number,
タクシー,
タクシー数,
立方数
Monday, July 11, 2016
Sunday, July 10, 2016
Saturday, July 9, 2016
Matt Parker: 145 and the Melancoil: Unhappy Numbers (アンハッピー数)
- Happification tree
- Unhappy numbers
- Melancoil numbers
Example:
145 -> 1^2 + 4^2 + 5^2 = 42 -> 4^2 + 2^2 = 20 -> 2^2 + 0^2 = 4 -> 4^2 = 16 -> 1^2 + 6^2 = 37 -> 3^2 + 7^2 = 58 -> 5^2 + 8^2 = 89 -> 8^2 + 9^2 = 145
ラベル:
Happy number,
ハッピー数
Roger Bowley: Special Magic Square (特別な魔方陣): 176
Special Magic Square:
25 18 51 82
81 52 15 28
12 21 88 55
58 85 22 11
ラベル:
Magic square,
魔方陣
Antonio Padilla & Ria Symonds: Googol and Googolplex (グーゴルとグーゴルプレックス)
Googol: 10^100
Googolplex: 10^10^100
Number of quantum states of a person: 10^10^70
ラベル:
Googol,
Googolplex,
Quantum state,
グーゴル,
グーゴルプレックス,
量子状態
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