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 |
|---|---|---|---|---|
| Luke Robitaille | MIT | Brandeis A | 19 | 10 |
| Eveline Ong | Oxford A | Cambridge C | 19 | -5 |
| Abby Smith | Berkeley C | Stanford A | 40 | 10 |
| Swapnil Garg | Berkeley A | Berkeley D | 50 | 10 |
| Cade Reinberger | RIT | Cornell B | 53 | 10 |
| Andrew Wang | Illinois A | Indiana A | 63 | -5 |
| Thomas Tibbetts | Central Florida C | Central Florida B | 68 | 10 |
| Owen Rojas | Duke | William and Mary | 75 | -5 |
| Ezra Santos | Chicago A | Purdue A | 85 | 10 |
| Danny Han | Stanford B | Berkeley B | 86 | 10 |
| Raymond Jiang | Illinois C | Northwestern B | 86 | 10 |
| Tosca Zhang | NYU B | Johns Hopkins A | 89 | -5 |
| Coby Tran | Chicago C | Illinois B | 90 | -5 |
| Asha Basu | McGill A | UBC B | 91 | 10 |
| Max Neal | Harvard B | Yale | 92 | 10 |
| Rohan Dalal | Georgia Tech A | Minnesota A | 92 | 10 |
| Rohan Ganeshan | Harvard A | Dartmouth A | 94 | 10 |
| Dustin Sanders | Chicago D | Purdue B | 95 | -5 |
| Philip Yao | Brown | Bowdoin B | 95 | 10 |
| Kevin Peng | Cornell A | Penn State | 95 | -5 |
| Ted Harrison | Edinburgh B | Imperial C | 104 | -5 |
| Connor Blake | Chicago B | Notre Dame A | 106 | -5 |
| Athena Shadden | Texas A | Murray State A | 106 | 10 |
| Zoë McGuire | Oxford B | UCL | 108 | 10 |
| Zachary Joseph | Columbia B | NYU A | 108 | 10 |
| Ben Hellman | Swarthmore | Maryland C | 108 | 10 |
| Artem Borisov | Bristol | LSE | 109 | -5 |
| Eric Lipsutz | Chicago E | Notre Dame B | 112 | 10 |
| Jayden Ngo | Kentucky | Louisville B | 112 | -5 |
| Tianyu Xu | Georgia Tech B | Mississipi State | 112 | 10 |
| Oscar O'Flanagan | Imperial A | Cambridge B | 112 | 10 |
| Ariyan Miah | Binghamton A | Cornell C | 112 | -5 |
| S. A. Shenoy | Georgia Tech D | Louisville A | 114 | -5 |
| Braden Booth | Missouri A | Washington A | 115 | 10 |
| Mattias Ehatamm | Maryland A | Columbia A | 115 | 10 |
| Jason Lee | Rutgers B | Rutgers A | 115 | -5 |
| Alex Olson | Florida B | Florida A | 116 | -5 |
| Adam Iqbal | Durham | City St. George's | 117 | 10 |
| Cole Hartung | Georgetown | Columbia C | 117 | -5 |
| John John Groger | WashU A | Vanderbilt B | 120 | 10 |
| Jacob Finley | Notre Dame A | Chicago B | 121 | 10 |
| Suyesh Paraju | NC State B | North Carolina B | 122 | -5 |
| Jake Markus | Dartmouth B | Southern Connecticut State | 122 | 10 |
| Zachary Bornstein | Virginia Tech B | Virginia | 123 | -5 |
| Randy Guo | Texas B | Texas A&M A | 123 | 10 |
| Aditya Rajesh | Northwestern C | Indiana C | 124 | -5 |
| Jerry Vinokurov | John Jay | Catholic | 124 | -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 |
| Dash Rumble | Bowdoin A | Brandeis B | 125 | 10 |
| Alan Fan | Washington B | Carleton College | 125 | -5 |
| Annika Larson | Claremont | Iowa State | 125 | 10 |
| Camden Walker | WashU B | Bruin | 125 | 10 |
| Parker McCoig | Tennessee A | Sewanee | 125 | 10 |
| Jackson McDonald | Alabama A | Tennessee B | 125 | -5 |
| Alan Li | Cornell C | Binghamton A | 125 | 10 |
| Killian Simonson | Rochester | Binghamton B | 125 | 10 |
| Adam Jarvis | Florida C | Central Florida A | 127 | 10 |
| Gannon Smith | Maryland B | Vassar | 128 | 10 |
| Zaid Asif | NYU C | Johns Hopkins B | 128 | 10 |
| Shardul Parthasarathy | Illinois B | Chicago C | 129 | 10 |
| June Miller | Florida A | Florida B | 130 | 0 |
| Jaden Rupolo | Liberty B | James Madison B | 130 | 0 |
| Kabir Zaman | South Carolina B | VCU | 130 | 0 |
| Summer Solis | James Madison B | Liberty B | 130 | 0 |
| Gabriel Dodds | Liberty C | James Madison A | 130 | 0 |
| Noah Fine | North Carolina B | NC State B | 130 | 0 |
| Micah Williams | VCU | South Carolina B | 130 | 10 |
| Joseph Chambers | Virginia | Virginia Tech B | 130 | 10 |
| Nick Smemoe | North Carolina A | Virginia Tech A | 130 | 0 |
| Chris Yoo | William and Mary | Duke | 130 | 0 |
| Alex Akridge | Indiana A | Illinois A | 130 | 10 |
| Alana Dickey | Indiana B | Northwestern D | 130 | 0 |
| Matthew Vidal | Northwestern D | Indiana B | 130 | 0 |
| Zoe Wang | Carleton College | Washington B | 130 | 10 |
| Mary Kate Vance | Louisville A | Georgia Tech D | 130 | 0 |
| Nathan Woolery | Louisville B | Kentucky | 130 | 10 |
| Danny Tran | Tennessee B | Alabama A | 130 | 10 |
| Albert Nyang | LSE | Bristol | 130 | 10 |
| Oliver West | Cambridge C | Oxford A | 130 | 10 |
| Rafael Castro | Imperial C | Edinburgh B | 130 | 10 |
| Dillon George | Catholic | John Jay | 130 | 0 |
| Chauncey Lo | Columbia C | Georgetown | 130 | 10 |
| Sinecio Morales | Johns Hopkins A | NYU B | 130 | 10 |
| Aiden Dartley | Rutgers A | Rutgers B | 130 | 10 |
| Teigue Kelly | Penn State | Cornell A | 130 | 10 |