For an algebraic number field K, a quantity of this name determines which primes ramify K and equals the determinant of a trace pairing matrix. For a polynomial, this noun denotes the product of all squared differences between pairs of roots. This noun appears in the name of a supervised learning method that finds weighted sums of features that maximize the ratio of between and within-class variances; that linear method was developed by Fisher. A complicated quantity of this name that includes the term “27 a-squared d-squared” appears in the innermost square root in Cardano’s formula. The sign of a quantity of this name determines the number of roots of a quadratic polynomial. For 10 points, what noun denotes the quantity “b-squared minus 4 a c” in the quadratic formula? ■END■
| California (North) | Main Site | Y | 3 | 100% | 0% | 0% | 58.67 |
| Canada | Main Site | Y | 1 | 100% | 0% | 0% | 91.00 |
| Florida | Main Site | Y | 3 | 67% | 0% | 33% | 97.50 |
| Lower Mid-Atlantic | Main Site | Y | 9 | 44% | 0% | 44% | 127.50 |
| Midwest | Main Site | Y | 9 | 67% | 0% | 56% | 110.50 |
| Northeast | Main Site | Y | 6 | 100% | 0% | 0% | 91.17 |
| Overflow | Main Site | Y | 4 | 100% | 0% | 25% | 115.50 |
| South Central | Main Site | Y | 2 | 100% | 0% | 0% | 114.50 |
| Southeast | Main Site | Y | 7 | 86% | 0% | 43% | 123.67 |
| UK | Main Site | Y | 6 | 100% | 0% | 50% | 121.17 |
| Upper Mid-Atlantic | Main Site | Y | 9 | 89% | 0% | 44% | 122.13 |
| Upstate NY | Main Site | Y | 4 | 100% | 0% | 50% | 108.25 |
| Player | Team | Opponent | Buzz Position | Value |
|---|---|---|---|---|
| Owen Rojas | Duke | William and Mary | 75 | -5 |
| Suyesh Paraju | NC State B | North Carolina B | 122 | -5 |
| Zachary Bornstein | Virginia Tech B | Virginia | 123 | -5 |
| Caleb Slusher | South Carolina A | Liberty A | 125 | 10 |
| Samanyu Dixit | North Carolina C | NC State A | 125 | 10 |
| Noah Chin | Virginia Tech A | North Carolina A | 125 | -5 |
| Chris Yoo | William and Mary | Duke | 130 | 0 |
| Gabriel Dodds | Liberty C | James Madison A | 130 | 0 |
| Jaden Rupolo | Liberty B | James Madison B | 130 | 0 |
| Summer Solis | James Madison B | Liberty B | 130 | 0 |
| Noah Fine | North Carolina B | NC State B | 130 | 0 |
| Kabir Zaman | South Carolina B | VCU | 130 | 0 |
| Micah Williams | VCU | South Carolina B | 130 | 10 |
| Nick Smemoe | North Carolina A | Virginia Tech A | 130 | 0 |
| Joseph Chambers | Virginia | Virginia Tech B | 130 | 10 |