Bonus
If n is 2, these numbers are 1 and -1. For 10 points each:
[10m] Name these numbers that, when raised to the power of a positive integer n, equal one. These numbers are sometimes named after the French mathematician Abraham de Moivre (“mwahv”).
ANSWER: roots of unity [accept nth roots of unity]
[10m] Name this novel, in which Milkman travels to Shalimar after learning his grandfather was the title flying figure. At the end of this novel, Pilate is murdered by Guitar, whom Milkman subsequently attacks.
ANSWER: Song of Solomon
[10e] The sum of the n-th roots of unity for any n always equals this number. Any number multiplied by this number yields this number.
ANSWER: zero [or 0]
[10e] This author partially based Song of Solomon on the Flying Africans, a group of legendary figures in African-American folklore. Her other works include Beloved and The Bluest Eye.
ANSWER: Toni Morrison [or Chloe Anthony Wofford Morrison; or Chloe Ardelia Wofford]
[10h] Adjoining a root of unity to the rationals is the definition of a cyclotomic one of these constructs, which is a ring where every non-zero element has a multiplicative inverse.
ANSWER: fields [accept cyclotomic fields; accept cyclotomic field extension; prompt on cyclotomic extension by asking “extension of what?”]
[10h] This author referenced the Flying Africans in the novel Wild Seed. This Afrofuturist author wrote Parable of the Sower and described Dana’s trips through time in Kindred.
ANSWER: Octavia E. Butler [or Octavia Estelle Butler]
<UCSD A, Other Science>
| Editions | Heard | PPB | Easy % | Medium % | Hard % |
|---|---|---|---|---|---|
| 2 | 103 | 15.53 | 87% | 37% | 31% |
Conversion
| Team | Opponent | Part 1 | Part 2 | Part 3 | Total | Parts |
|---|---|---|---|---|---|---|
| George Mason A | Rowan | 0 | 10 | 0 | 10 | M |
| George Mason B | George Mason C | 0 | 10 | 0 | 10 | M |
| Johns Hopkins | Columbia B | 10 | 10 | 10 | 30 | MME |
| Lehigh A | Rutgers D | 0 | 10 | 0 | 10 | M |
| Maryland C | Columbia A | 0 | 10 | 0 | 10 | M |
| NYU A | Rutgers C | 10 | 0 | 0 | 10 | M |
| NYU B | Maryland A | 0 | 10 | 10 | 20 | ME |
| Penn | Maryland B | 0 | 10 | 0 | 10 | M |
| Rutgers A | NYU C | 10 | 10 | 0 | 20 | MM |
| Rutgers B | Vassar B | 0 | 10 | 10 | 20 | ME |
| Stony Brook | Princeton | 10 | 10 | 10 | 30 | MME |
| Vassar A | Lehigh B | 0 | 10 | 0 | 10 | M |
Summary
| Tournament | Edition | Exact Match? | Heard | PPB | Easy % | Medium % | Hard % |
|---|---|---|---|---|---|---|---|
| UK (North) | UK | Y | 5 | 18.00 | 80% | 60% | 40% |
| UK (South) | UK | Y | 8 | 15.00 | 88% | 38% | 25% |
| Northern California | US | Y | 4 | 25.00 | 100% | 100% | 50% |
| Southern California | US | Y | 7 | 18.57 | 71% | 71% | 43% |
| Eastern Canada (1) | US | Y | 4 | 17.50 | 100% | 25% | 50% |
| Florida | US | Y | 4 | 15.00 | 100% | 25% | 25% |
| Great Lakes | US | Y | 10 | 15.00 | 80% | 20% | 50% |
| Lower Mid-Atlantic | US | Y | 9 | 13.33 | 100% | 22% | 11% |
| Upper Mid-Atlantic | US | Y | 11 | 14.55 | 91% | 27% | 27% |
| Upper Mid-Atlantic | US | Y | 1 | 30.00 | 100% | 100% | 100% |
| Midwest | US | Y | 9 | 13.33 | 67% | 44% | 22% |
| North | US | Y | 4 | 10.00 | 75% | 0% | 25% |
| Northeast | US | Y | 2 | 10.00 | 50% | 50% | 0% |
| Pacific | US | Y | 8 | 13.75 | 88% | 13% | 38% |
| Southeast | US | Y | 12 | 15.83 | 100% | 42% | 17% |
| Upstate NY | US | Y | 5 | 18.00 | 100% | 40% | 40% |