A generalization of this function provides the foundation of the Lie (“lee”) group–Lie (“lee”) algebra correspondence. This function of negative r over a constant times the Bohr radius appears in the radial equation of the hydrogen atom. The sum of this function of beta times total energy over each microstate comprises the canonical partition function. The general solution to the time-independent (*) Schrödinger equation includes this function’s “complex” form, which is also used to represent phase factors. The proportion of remaining particles at time t equals this function of t over tau, which is a function of half-life, in a model of decay named for this function. For 10 points, name this function that is the inverse of the natural logarithm. ■END■
| 2023 PACE NSC | 06/10/2023 | Y | 34 | 88% | 6% | 0% | 109.93 |
| Player | Team | Opponent | Buzz Position | Value |
|---|---|---|---|---|
| Shreyas Singh | University Lab | Maggie Walker A | 48 | 20 |
| Adam Williams | Northmont A | Walter Payton | 50 | 0 |
| Kevin Adler | Northmont B | Saint Joseph | 50 | 0 |
| Samarth Ram | Plymouth | Woodland | 50 | 0 |
| Aatreyo Bhattacharyya | Mira Loma | Detroit Country Day | 51 | 0 |
| Yashwanth Bajji | Troy | Kinkaid | 52 | 0 |
| Charles Heydt | Midtown | Winnebago | 54 | 20 |
| Vardhan Agnihotri | St. Mark's | Dunbar | 58 | 0 |
| Aakash Sanjay | Johns Creek A | William Fremd | 65 | 0 |
| Sam Macchi | Belmont | Winston Churchill A | 71 | 10 |
| Samuel Li | Thomas Jefferson D | Thomas Jefferson C | 88 | 0 |
| Anthony Chalhoub | Detroit Catholic Central B | Belvidere | 99 | 0 |
| Chris Yoo | Thomas Jefferson B | Dallas County | 99 | 10 |
| Adhav Ravikumar | Innovation Academy A | Hinsdale Central | 99 | 0 |
| Jonathan Tao | Stevenson B | John Adams A | 99 | 0 |
| Claudio Bastiani-Fonck | Winston Churchill B | Mexico | 99 | 0 |
| Aryan Pathak | Lake Highland | Norris | 99 | 0 |
| Deven Hagen | Thomas Jefferson A | Canyon Crest | 103 | 0 |
| Vincent Wang | Irvington A | Chattahoochee B | 103 | 10 |
| Jingyi Wu | Stevenson A | Carl Sandburg | 103 | 0 |
| Tony Han | Carbondale | Heights | 105 | 10 |
| Anish Jindal | Parkway West | New Brighton | 106 | 0 |
| Alex Crowell | Rockford Auburn A | Richard Montgomery | 116 | 10 |
| Charles Young | Barrington A | Detroit Catholic Central A | 117 | 10 |
| Rohan Dalal | Johns Creek B | Barrington B | 117 | 10 |
| Lindsay Rhode | Belvidere | Detroit Catholic Central B | 117 | 10 |
| Joy An | Choate Rosemary Hall | Maggie Walker C | 117 | 10 |
| Ella Sheffield | Mercer County | Detroit Catholic Central C | 117 | 10 |
| Karl Barnickol | Walter Payton | Northmont A | 117 | 10 |
| Suhit Damani | Innovation Academy B | Maggie Walker B | 117 | 10 |
| Anvith Vanukuri | William Fremd | Johns Creek A | 117 | 10 |
| Pete Wasser | Norris | Lake Highland | 117 | 10 |
| Aaryan Sumesh | Thomas Jefferson C | Thomas Jefferson D | 117 | 10 |
| Clete Reinberger | Cincinnati Hills Christian | Washington | 117 | 10 |
| Brodie Henry | West Point | Rockford Auburn B | 117 | 0 |
| Brielle Rach | Rockford Auburn B | West Point | 117 | 0 |
| Evan Lin | Woodland | Plymouth | 117 | 10 |
| Yaj Jhajhria | Canyon Crest | Thomas Jefferson A | 118 | 10 |
| Aeres Zhou | Detroit Country Day | Mira Loma | 118 | 10 |
| Puna Ekka | New Brighton | Parkway West | 118 | 10 |
| Thomas Belcher | Saint Joseph | Northmont B | 118 | 10 |
| Prahalad Rao | Solon | Hunter A | 118 | 10 |
| Chakri Gudlavalleti | Dunbar | St. Mark's | 118 | 0 |
| Hatice Caliskan | Carl Sandburg | Stevenson A | 118 | 0 |
| Jiming Chen | Hinsdale Central | Innovation Academy A | 118 | 10 |
| Max Kolda | John Adams A | Stevenson B | 118 | 0 |
| Safal Sapkota | Elkhorn North | John Adams B | 118 | 10 |
| Camden Williams | Mexico | Winston Churchill B | 118 | 10 |
| Isaac McCollum | Hoover B | Moberly | 118 | 10 |
| Ayan Kohli | Hunter B | Norman | 118 | 10 |
| Ali Hamzeh | Kinkaid | Troy | 118 | 10 |