Extensions described by this adjective for functions on graphs can be constructed using random walks started at each vertex that run until they hit the boundary. The real and imaginary parts of a complex analytic function are “conjugates” described by this adjective. Since their average value over a ball is equal to the value at its center, functions described by this adjective satisfy the mean value property. Solutions to Laplace’s equation are described by this adjective. Since the integral of “one over x” from one to infinity diverges, so does a series described by this adjective according to the integral test. For 10 points, the sum of the reciprocals of each positive integer is a divergent series described by what adjective? ■END■
| Northern California | Main | Y | 5 | 100% | 0% | 0% | 71.40 |
| Southern California | Main | Y | 1 | 100% | 0% | 0% | 72.00 |
| Eastern Canada | Main | Y | 13 | 69% | 0% | 23% | 89.89 |
| Florida | Main | Y | 6 | 100% | 0% | 0% | 101.67 |
| Great Lakes | Main | Y | 7 | 100% | 0% | 14% | 101.29 |
| Lower Mid-Atlantic | Main | Y | 9 | 100% | 0% | 0% | 101.11 |
| Upper Mid-Atlantic (1) | Main | Y | 10 | 70% | 0% | 20% | 99.57 |
| Upper Mid-Atlantic (2) | Main | Y | 5 | 100% | 0% | 20% | 87.20 |
| Lower Midwest | Main | Y | 4 | 75% | 0% | 25% | 85.33 |
| Upper Midwest | Main | Y | 12 | 92% | 0% | 42% | 98.73 |
| North | Main | Y | 5 | 60% | 0% | 60% | 112.67 |
| Northeast | Main | Y | 12 | 92% | 0% | 25% | 78.64 |
| Northwest | Main | Y | 4 | 100% | 0% | 0% | 74.50 |
| South Central | Main | Y | 8 | 100% | 0% | 25% | 99.50 |
| Southeast | Main | Y | 8 | 100% | 0% | 0% | 83.88 |
| UK | Main | Y | 14 | 93% | 0% | 36% | 89.77 |
| Upstate NY | Main | Y | 4 | 100% | 0% | 0% | 89.75 |
| Player | Team | Opponent | Buzz Position | Value |
|---|---|---|---|---|
| Ben Richards | Sheffield B | Edinburgh B | 37 | -5 |
| Zoë McGuire | Oxford B | Cambridge B | 41 | 10 |
| Gus Redding | Imperial B | Imperial C | 44 | -5 |
| Kyan Cheung | Cambridge C | Edinburgh A | 48 | 10 |
| James Byrne | Bristol A | Oxford A | 66 | 10 |
| Albert Nyang | LSE A | Imperial A | 66 | -5 |
| Michael Wu | Southampton A | Cambridge A | 69 | -5 |
| Artem Borisov | Bristol B | City St George's A | 70 | 10 |
| Rachel Bentham | Manchester B | Cambridge D | 75 | 10 |
| Jack Didsbury | Durham B | Sheffield C | 80 | -5 |
| Odysseas Gabrielatos | Warwick B | Durham A | 88 | 10 |
| Ella Warde | Warwick A | Birmingham A | 95 | 10 |
| Andrew Fisher | Sheffield A | Manchester A | 100 | 10 |
| Siddhant Kumar | Edinburgh B | Sheffield B | 100 | 10 |
| Phillip Jordan | Imperial C | Imperial B | 121 | 10 |
| Agnijo Banerjee | Cambridge A | Southampton A | 121 | 10 |
| Charlie Lowman | Imperial A | LSE A | 121 | 10 |
| Alex Irvine | Sheffield C | Durham B | 121 | 0 |
| Anirudh Terdal | LSE B | Southampton B | 121 | 10 |