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.

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 + 1^3
or
= 9^3 + 10^3

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

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

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

Friday, July 8, 2016

Steve Furber: Silicon Brain: 1,000,000 ARM cores: SpiNNaker Project

Steve Furber

Yohei Miyake (三宅洋平): 選挙フェス 池袋駅西口 (2016/7/8)

Yohei Miyake

James Grime: 23 and Football Birthdays: Birthday Problem (誕生日のパラドックス)




Command:

$ bc <<< 'scale=10;364/365 * 363/365 * 362/365 * 361/365 * 360/365 * 359/365 * 358/365 * 357/365 * 356/365 * 355/365 * 354/365 * 353/365 * 352/365 * 351/365 * 350/365 * 349/365 * 348/365 * 347/365 * 346/365 * 345/365 * 344/365 * 343/365'

Result:

.4927027648