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Packet 7: Bonus 19

For 10 points each, answer the following about the Tau Manifesto:
[10e] The Tau Manifesto supports using the constant tau in place of this other constant, which is half of tau. The area of a circle is given by this constant times the radius squared.
ANSWER: pi
[10m] The Tau Manifesto claims that this mathematician’s namesake identity is more elegantly stated as e to the i tau equals 1, rather than its standard form of e to the i pi plus 1 equals zero.
ANSWER: Leonhard Euler [accept Euler’s identity]
[10h] The manifesto also claims that this function, which includes the square root of 2 pi times variance in its formula, would be more elegantly expressed using tau. The Dirac delta function is the limiting case of this function as variance goes to zero.
ANSWER: normal distribution [or Gaussian distribution or Gaussian function; prompt on bell curve]
<Math — June Yin> | SHOW-ME Four Packet 7

HeardPPBE %M %H %
1718.82100%88%0%

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Conversion

TeamOpponentPart 1Part 2Part 3TotalParts
DeWitt BTraverse City Central B1010020EM
Detroit Catholic Central ADeWitt A1010020EM
Grand LedgeDetroit Catholic Central B1010020EM
Hillsdale Academy ADetroit Country Day B1010020EM
New Buffalo AU of D Jesuit1010020EM
Okemos AWhite Cloud A1010020EM
Traverse City Central AHillsdale Academy D1010020EM
Troy AOkemos B1010020EM
Troy BRockford B1010020EM
Utica AcademyHillsdale Academy B1010020EM
WilliamstonChelsea1010020EM

Summary

TournamentEditionMatchHeardPPBE %M %H %
Rube Goldberg XIX11/20/2025✓1120.00100%100%0%
SHOW-ME Four Nationwide HS11/20/2025✓518.00100%80%0%
SPOOKY IX11/20/2025✓110.00100%0%0%