Nonlocal types of this value are used in extensions beyond the Standard Model and are theorized to allow determination of the past quantum state of a distant entangled particle. Planck’s insight that this value was quantized led to his namesake constant as the “quantum” of this value. Pierre Maupertuis (“mo-pair-TWEE”) developed an early formulation of a concept about this value which used the “abbreviated” form of this value. In one formulation, the (*) angle variables are the canonical variables of variables named for this value. Functions named for this value are the primary solutions of the Hamilton-Jacobi equations. The development of the calculus of variations resulted in the principle that this value remains stationary under small perturbations for the Euler-Lagrange equations. For 10 points, name this value equal to the integral of the Lagrangian over time. ■END■
| 2025 Penn Bowl - Stanford | 10/25/25 | Y | 4 | 100% | 25% | 0% | 90.25 |
| 2025 Penn Bowl - Northwestern | 10/25/25 | Y | 4 | 100% | 50% | 25% | 87.00 |
| 2025 Penn Bowl - Mainsite (UPenn) | 11/01/25 | Y | 6 | 83% | 33% | 50% | 90.40 |
| 2025 Penn Bowl - BU | 11/01/25 | Y | 4 | 75% | 0% | 50% | 118.67 |
| 2025 Penn Bowl - CWRU | 11/01/25 | Y | 3 | 67% | 33% | 0% | 98.00 |
| 2025 Penn Bowl - UNC | 11/01/25 | Y | 3 | 67% | 33% | 33% | 88.00 |
| 2025 Penn Bowl - WashU | 11/01/25 | Y | 2 | 50% | 0% | 50% | 134.00 |
| 2025 Penn Bowl - Ottawa | 11/01/25 | Y | 7 | 71% | 43% | 57% | 85.20 |
| 2025 Penn Bowl - UK | 11/01/25 | Y | 9 | 89% | 33% | 44% | 89.50 |
| 2025 Penn Bowl - Online | 11/08/25 | Y | 2 | 100% | 0% | 0% | 106.00 |
| 2025 Penn Bowl - Murray State | 11/08/25 | Y | 2 | 50% | 50% | 0% | 60.00 |
| Player | Team | Opponent | Buzz Position | Value |
|---|---|---|---|---|
| Matt Booth | Burnaburiash's Lapis Lazuli | Penn and the Art of Tossup-Bonus cycle Maintenance | 44 | -5 |
| Oliver West | Galactic Ombudsmen | Paul Quifford, or, It Was a Dark and Stormy Tournament | 46 | -5 |
| Joseph Krol | To buzz is to be perceived | Knorr Stock Clue | 47 | 15 |
| Victoria Felten | Hail to the Sheaf | The Bit and the Penndulum | 48 | 15 |
| Joel Dicker | Coughing Baby | 1. Wawa 2. Blank Street 151. Black Sheep at Kings Cross rail | 51 | -5 |
| Evan Lynch | Washed Scrubs | Chimp Brisket | 60 | 15 |
| Delia Cropper | Penn and the Art of Tossup-Bonus cycle Maintenance | Burnaburiash's Lapis Lazuli | 76 | 10 |
| Linus Luu | question mark | Bristold | 106 | 10 |
| Philip Jordan | Quiztian Bale in Ratman Begins | Alas poor Warwick, I knew him Edinburgh | 111 | 10 |
| Jacob Price | why is it called a score clue if nobody scores points on it | Of Mice and Penn | 118 | -5 |
| Richard McNair | 1. Wawa 2. Blank Street 151. Black Sheep at Kings Cross rail | Coughing Baby | 134 | 10 |
| Charlie Lowman | Paul Quifford, or, It Was a Dark and Stormy Tournament | Galactic Ombudsmen | 134 | 0 |
| Ethan Webb | Of Mice and Penn | why is it called a score clue if nobody scores points on it | 134 | 10 |