The optimization of a randomness extractor can be best determined from the “min” variant of this variable as the smallest of the Rényi family variants of this variable. For a uniform probability distribution the Hartley function is equivalent to one definition of this variable. A quantum type of this variable vanishes when the density matrix is that of a pure state and is named for (*) Von Neumann. The molecular chaos assumption was used to derive an integral equal to a function of this variable, which following later convention was represented with an H. Gibbs created a definition of this variable based on a summation of a function of the probability of microstate energies. For 10 points, name this variable equal to the Boltzmann constant times the natural log of microstates. ■END■
| Player | Team | Opponent | Buzz Position | Value |
|---|---|---|---|---|
| Matt Booth | Burnaburiash's Lapis Lazuli | why is it called a score clue if nobody scores points on it | 27 | 15 |
| Linus Luu | question mark | Washed Scrubs | 31 | 15 |
| Adil Soubki | Galactic Ombudsmen | Coughing Baby | 43 | 15 |
| Vivek Sasse | Hail to the Sheaf | 1. Wawa 2. Blank Street 151. Black Sheep at Kings Cross rail | 66 | 10 |
| Omer Keskin | Penn and the Art of Tossup-Bonus cycle Maintenance | Quiztian Bale in Ratman Begins | 66 | 10 |
| Joseph Krol | To buzz is to be perceived | Alas poor Warwick, I knew him Edinburgh | 66 | 10 |
| Imran Rahman | Chimp Brisket | Bristold | 99 | 10 |
| Kai Madgwick | Knorr Stock Clue | The Bit and the Penndulum | 106 | 10 |
| Ethan Webb | Of Mice and Penn | Paul Quifford, or, It Was a Dark and Stormy Tournament | 112 | 10 |
| 2025 Penn Bowl - Stanford | 10/25/25 | Y | 4 | 100% | 50% | 0% | 61.50 |
| 2025 Penn Bowl - Northwestern | 10/25/25 | Y | 4 | 100% | 25% | 0% | 74.00 |
| 2025 Penn Bowl - Mainsite (UPenn) | 11/01/25 | Y | 6 | 100% | 0% | 0% | 99.50 |
| 2025 Penn Bowl - BU | 11/01/25 | Y | 4 | 100% | 25% | 0% | 69.25 |
| 2025 Penn Bowl - CWRU | 11/01/25 | Y | 3 | 100% | 0% | 0% | 104.67 |
| 2025 Penn Bowl - UNC | 11/01/25 | Y | 3 | 100% | 0% | 0% | 117.67 |
| 2025 Penn Bowl - WashU | 11/01/25 | Y | 2 | 100% | 0% | 0% | 110.00 |
| 2025 Penn Bowl - Ottawa | 11/01/25 | Y | 7 | 100% | 29% | 0% | 74.71 |
| 2025 Penn Bowl - UK | 11/01/25 | Y | 9 | 100% | 33% | 0% | 68.44 |
| 2025 Penn Bowl - Online | 11/08/25 | Y | 2 | 100% | 0% | 0% | 73.00 |
| 2025 Penn Bowl - Murray State | 11/08/25 | Y | 2 | 100% | 0% | 0% | 81.00 |