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 |
| Omer Korkmaz | JHU B | NYU B | 45 | -5 |
| Jerry Vinokurov | John Jay | Swarthmore | 46 | -5 |
| Alex Akridge | Indiana | UChicago C | 46 | 15 |
| Kunaal Chandrashekar | Toronto G | Ottawa 67s | 46 | 15 |
| Ian Theysmeyer | Queen's is monitoring the situation | Toronto Murder on the Rider Express | 46 | -5 |
| Jonathan Huang | MIT A | Harvard | 46 | -5 |
| Jason Qin | Columbia A | Maryland A | 46 | -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 |
| Micah Williams | Planck Sinatra | UNC A | 48 | -5 |
| John John Groger | WashU Kiki | VJ Edgecombe School of Interior Design - Edwardsville | 48 | -5 |
| Victoria Felten | Hail to the Sheaf | The Bit and the Penndulum | 48 | 15 |
| Ishan Joshi | #OpenToBuzz | McGill Fartlets | 49 | -5 |
| Ezra Santos | UChicago A | Northwestern A | 51 | 15 |
| Joel Dicker | Coughing Baby | 1. Wawa 2. Blank Street 151. Black Sheep at Kings Cross rail | 51 | -5 |
| Caleb Ott | Waterloo you are crooked | Toronto Operation PBSuccess | 52 | 15 |
| Gus Vanskike | Maryland B | Columbia B | 52 | 15 |
| Theodore Lam | Toronto Sunshine Bubbles | Toronto E | 55 | -5 |
| Ben Hellman | Swarthmore | John Jay | 58 | 15 |
| Matthew He | Texas B | Texas A | 60 | 15 |
| Denali Tran-Le | McGill Fartlets | #OpenToBuzz | 60 | 15 |
| Evan Lynch | Washed Scrubs | Chimp Brisket | 60 | 15 |
| Swapnil Garg | Berkeley A | In Search of Lost Clues | 61 | 15 |
| Aditya Patnaik | Ohio State A | Michigan B | 62 | 15 |
| Noah Chin | VT A | UNC B | 66 | 15 |
| Ryan Rosenberg | NYU A | JHU A | 75 | 10 |
| Delia Cropper | Penn and the Art of Tossup-Bonus cycle Maintenance | Burnaburiash's Lapis Lazuli | 76 | 10 |
| Asha Basu | McGill B | Guelph perfomative male competition | 82 | -5 |
| Richard Niu | The best time to buzz was twenty clues ago. The second best time to buzz is now | Berkeley C | 86 | 10 |
| Coby Tran | UChicago B | Illinois | 95 | -5 |
| Will Alston | rusty shackleford | New Young Whigs of America | 95 | 10 |
| Sidarth Erat | MIT B | RIT | 103 | -5 |
| Danny Han | Stanford B | Free Win | 103 | 10 |
| Linus Luu | question mark | Bristold | 106 | 10 |
| Aditya Sharma | Wise Duke | VT B | 110 | 10 |
| Philip Yao | Brown | I've been running into you in my lead plumbocene what could have benzene | 111 | 10 |
| Cade Reinberger | RIT | MIT B | 111 | 10 |
| Anuttam Ramji | Berkeley B | Stanford A | 111 | 10 |
| Philip Jordan | Quiztian Bale in Ratman Begins | Alas poor Warwick, I knew him Edinburgh | 111 | 10 |
| Andrew Vincent | Northwestern B | Purdue A | 117 | 10 |
| Aatreyo Bhattacharyya | abg academy | Wake Up Paddington A Washington Mystery | 117 | 10 |
| Jacob Price | why is it called a score clue if nobody scores points on it | Of Mice and Penn | 118 | -5 |
| Daniel Ma | Mount Sinai | Maryland C | 133 | 10 |
| Brenden Stremler | Yale | Brandeis | 134 | 0 |
| Christopher Dech | Brandeis | Yale | 134 | 0 |
| Collin Leck | Central Oklahoma | Oklahoma | 134 | 0 |
| Andrew Wang | Illinois | UChicago B | 134 | 10 |
| Kevin Le | Carleton A | Aweille Kevin Fan osti continue comme ça | 134 | 10 |
| Rayton Lin | Guelph perfomative male competition | McGill B | 134 | 10 |
| Franklin Wu | Toronto Murder on the Rider Express | Queen's is monitoring the situation | 134 | 0 |
| Alec Zelek | Toronto E | Toronto Sunshine Bubbles | 134 | 0 |
| Joseph Cole | UNC A | Planck Sinatra | 134 | 0 |
| Camden Williams | Truman State | WashU Bouba | 134 | 0 |
| Paul Lee | WashU Bouba | Truman State | 134 | 0 |
| Neal Joshi | VJ Edgecombe School of Interior Design - Edwardsville | WashU Kiki | 134 | 10 |
| Joy An | Harvard | MIT A | 134 | 10 |
| Reed Sexton | Michigan C | Ohio State B | 134 | 0 |
| Jacob Goodson | Ohio State B | Michigan C | 134 | 0 |
| Danny Peelen | Pittsburgh | Michigan A | 134 | 10 |
| Xavier Bornhorst | Maryland A | Columbia A | 134 | 0 |
| Zaid Asif | NYU B | JHU B | 134 | 10 |
| 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 |