For systems that simultaneously exhibit multiple irreversible transport processes, a result named for this function implies that the matrix of phenomenological coefficients is symmetric and positive-definite. Those equations named for this function are derived by Taylor expanding entropy in terms of a matrix L and won a Nobel prize for their discoverer, Lars Onsager. For a system reversibly exchanging heat with its surroundings, the integral of this function of temperature with respect to heat is the change in (*) entropy, as in Clausius’s theorem. This function of the product of Boltzmann’s constant and temperature yields thermodynamic beta. This function of pressure is proportional to volume by Boyles’ law. For 10 points, “coldness” and temperature are related by what function, equivalent to an inverse proportion? ■END■
| 2025 PLAYTIME Online | 04/26/2025 | Y | 9 | 100% | 44% | 22% | 80.22 |
| 2024 PLAYTIME @ Harvard | 04/26/2025 | Y | 4 | 100% | 25% | 0% | 95.00 |
| 2024 PLAYTIME @ Virginia Tech | 07/11/2025 | Y | 3 | 100% | 33% | 33% | 83.00 |
| 2024 PLAYTIME @ UBC | 10/05/2024 | Y | 8 | 88% | 13% | 25% | 95.43 |
| 2024 PLAYTIME @ WashU | 10/12/2024 | Y | 6 | 100% | 17% | 50% | 101.83 |
| 2024 PLAYTIME @ JHU | 10/26/2024 | Y | 8 | 50% | 13% | 38% | 97.00 |
| 2025 PLAYTIME @ Sheffield | 12/10/2024 | Y | 1 | 100% | 0% | 100% | 123.00 |
| 2025 PLAYTIME @ Northwest | 12/10/2024 | Y | 4 | 50% | 25% | 25% | 99.50 |
| 2025 PLAYTIME @ Claremont | 12/10/2024 | Y | 4 | 100% | 25% | 25% | 87.25 |
| 2025 PLAYTIME @ Florida | 12/10/2024 | Y | 2 | 50% | 50% | 50% | 58.00 |
| 2025 PLAYTIME @ Florida | 12/10/2024 | Y | 1 | 100% | 0% | 0% | 87.00 |
| 2025 PLAYTIME @ CWRU | 12/10/2024 | Y | 5 | 80% | 0% | 60% | 123.00 |
| 2025 PLAYTIME @ Sheffield | 12/10/2024 | Y | 6 | 100% | 0% | 17% | 107.17 |
| Player | Team | Opponent | Buzz Position | Value |
|---|---|---|---|---|
| Vincent Du | 4 quizbowl pros go Virginia on North Carolina | Ashurbanipal’s Drag Race | 25 | 15 |
| Eric Mukherjee | Mike Dukakis Tank Battalion | Trip-Hop Quizzer Tricky | 27 | 15 |
| Benjamin Chapman | Toronto B | Guelph | 53 | 15 |
| Nathan Liang | Mahjonng Masters | we need new names | 53 | 15 |
| Maximilian Niebur | Johns Hopkins A | CWRU | 54 | 15 |
| Alex Li | Free Agents 1 | Egypt Airlines Haters | 55 | 15 |
| Padraig Finan | Washington Connections | Arizona State University A | 56 | -5 |
| Stan | Gruh | Auburn 2026 | 57 | 15 |
| Anderson Wang | Art of Premature Signaling | Caltech | 57 | 15 |
| Tracy Mirkin | Edwin Laundrorat's Long-Lost Man Unclothès Rat Degrosses | Too much from you lately | 58 | 15 |
| Fred Garvey | Truman State | WashU Bulbasaur | 58 | 15 |
| Mason Yu | Brown | Lexington | 62 | 15 |
| Anne Fjeld | Alberta | UW A | 76 | 15 |
| Calvin Bostleman | Ohio State A | Ohio State B | 80 | -5 |
| Yashwanth Bajji | Michigan A | Michigan B | 82 | -5 |
| Ameya Bhalerao | mongeese | 2 Italians, 2 Poles, All Noles | 82 | 10 |
| Theenash Sengupta | MSJ | Goober Gang | 82 | -5 |
| Liam Kusalik | Waterloo A | Mac A | 82 | 10 |
| Michael Hunding | Illinois A | Missouri | 82 | -5 |
| Bill Zhao | Keeping Up With the Cardassians | Project2025BC: Make Assyria Great Again | 87 | 10 |
| Shardul Parthasarathy | Illinois B | WashU Charmander | 89 | 10 |
| Charlie Ruff | McGill B | Toronto C | 90 | -5 |
| Fish Tsai | girl 15 whale i mean they | P.C.‚ Daniel‚ Michel‚ and Jason B | 92 | 10 |
| Caleb Ott | Waterloo B | Waterloo C | 93 | 10 |
| Andrew Nucci | UCLA B | UCLA A | 94 | 10 |
| Paphon Susikakosol | Imperial A | LSE | 94 | -5 |
| Noah Chin | Even in Blacksburg There I Am | Adrianne Lenker 4 Nobel Lit Prize 2K65 | 95 | -5 |
| Alan Kappler | Claremont B | Claremont A | 95 | -5 |
| Cade Reinberger | RIT | MIT | 95 | 10 |
| Jacob Price | Sheffield A | Sheffield B | 95 | -5 |
| Chris Levesley | Warwick A | Lancaster | 95 | 10 |
| Samarth Ram | Chicago B | Illinois C | 95 | 10 |
| Kunaal Chandrashekar | Toronto A | Toronto D | 97 | 10 |
| Akshath Sivachidhambaram | Illinois Orange | Four Generalists in Search of a Power | 97 | 10 |
| Rachel Bentham | Cambridge | Warwick B | 97 | 10 |
| Kai Madgwick | Manchester | Sheffield C | 97 | 10 |
| Kevin Ye | Simon Fraser | UBC | 99 | 10 |
| Benny Feldman | Chicago A | Iowa State | 99 | -5 |
| Asha Basu | McGill A | Ottawa A | 101 | -5 |
| Jim Fan | Master and Margaritaville | Somehow Paula Deen Returned | 101 | 10 |
| Joy An | Harvard | Brandeis | 101 | 10 |
| Arjun Bothra | Haverford A | Rutgers | 102 | 10 |
| June Yin | WashU Squirtle | SIUE | 106 | -5 |
| Zaid Asif | NYU C | Maryland B | 106 | -5 |
| Jacob Finley | Notre Dame + Epic Games | Quatumvirate | 106 | 10 |
| Akshay Seetharam | Claremont A | Claremont B | 106 | 10 |
| Lesley Kwarteng | Johns Hopkins B | Haverford B | 106 | -5 |
| Isaac Mammel | Maryland A | Georgetown | 109 | 10 |
| Victor Prieto | Monsieur Hulot's Academic Team | evil women enjoyers | 109 | -5 |
| Danny Fisher | Warwick C | Edinburgh | 109 | 10 |
| Stefan Stealey-Euchner | Arizona State University A | Washington Connections | 112 | 0 |
| Daniel Carlton | George Mason B | Catholic University of America | 112 | -5 |
| Billy Beyer | Billy's Bastion | Qin Shi Huang's Immortality Poison | 118 | -5 |
| Aditya Patnaik | Ohio State D | Ohio State C | 121 | -5 |
| Athan Juritsch | Toronto E | Toronto Metropolitan | 121 | 10 |
| Robert Wang | evil women enjoyers | Monsieur Hulot's Academic Team | 122 | 10 |
| Gregory Zeldovich | Belmont | BU | 122 | 10 |
| Sam Hastings | Birmingham | Imperial B | 122 | 10 |
| Biyang Zhang | Michigan B | Michigan A | 123 | 10 |
| Elijah Quan | Michigan C | Michigan D | 123 | 0 |
| Peter Ballas | Michigan D | Michigan C | 123 | 10 |
| Anh Khoa Tran | Qin Shi Huang's Immortality Poison | Billy's Bastion | 123 | 0 |
| Jesse Chusing | Ottawa A | McGill A | 123 | 0 |
| Ryan Rosenberg | Adrianne Lenker 4 Nobel Lit Prize 2K65 | Even in Blacksburg There I Am | 123 | 10 |
| Logan Mathis | SIUE | WashU Squirtle | 123 | 10 |
| Ariel Faeder | Pittsburgh | Oberlin | 123 | 10 |
| Jacob Goodson | Ohio State B | Ohio State A | 123 | 10 |
| Taman Truong | Arizona State University B | South Dakota School of Mines | 123 | 0 |
| Simarya Ahuja | UW B | Carleton | 123 | 10 |
| Coy Mier | Goober Gang | MSJ | 123 | 10 |
| Nicholas Decker | George Mason A | George Mason C | 123 | 0 |
| Hazel Reed | George Mason C | George Mason A | 123 | 0 |
| Nate Kang | NYU B | George Washington | 123 | 10 |
| Will Snyder | Haverford B | Johns Hopkins B | 123 | 0 |
| Andrew Fisher | Sheffield B | Sheffield A | 123 | 10 |
| Andy Huff | LSE | Imperial A | 123 | 10 |
| Sky Li | Toronto C | McGill B | 123 | 10 |
| Braden Booth | Missouri | Illinois A | 123 | 10 |
| Conor Thompson | Iowa State | Chicago A | 123 | 10 |