Question

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 (20[1])the canonical (0[3])partition (0[1])function. (0[1])The general (20[1])solution to the time-independent (0[1])(*) Schrödinger equation includes this function’s “complex” form, (0[1])which is also used to represent (10[1])phase factors. The proportion of remaining particles at time t equals this function of t over tau, (0[1])which is a function of half-life, in a model of decay (10[1]0[5])named for this function. (10[1]0[2])For 10 (10[1])points, (0[1])name this function that is the inverse of the natural (10[1])logarithm. (10[12]0[2])■END■ (10[11]0[3])

ANSWER: exponential function [accept exponential map or complex exponential or negative exponential; accept e to the power of x or e to the power of i x or e to the power of negative x, with any variable in place of “x”]
<Lalit Maharjan, Science - Physics&gt; ~25006~ &lt;Editor: David Bass>
= Average correct buzz position

Back to tossups

Summary

2023 PACE NSC06/10/2023Y3488%6%0%109.93

Buzzes

PlayerTeamOpponentBuzz PositionValue
Shreyas SinghUniversity LabMaggie Walker A4820
Kevin AdlerNorthmont BSaint Joseph500
Adam WilliamsNorthmont AWalter Payton500
Samarth RamPlymouthWoodland500
Aatreyo BhattacharyyaMira LomaDetroit Country Day510
Yashwanth BajjiTroyKinkaid520
Charles HeydtMidtownWinnebago5420
Vardhan AgnihotriSt. Mark'sDunbar580
Aakash SanjayJohns Creek AWilliam Fremd650
Sam MacchiBelmontWinston Churchill A7110
Samuel LiThomas Jefferson DThomas Jefferson C880
Chris YooThomas Jefferson BDallas County9910
Anthony ChalhoubDetroit Catholic Central BBelvidere990
Aryan PathakLake HighlandNorris990
Adhav RavikumarInnovation Academy AHinsdale Central990
Claudio Bastiani-FonckWinston Churchill BMexico990
Jonathan TaoStevenson BJohn Adams A990
Deven HagenThomas Jefferson ACanyon Crest1030
Vincent WangIrvington AChattahoochee B10310
Jingyi WuStevenson ACarl Sandburg1030
Tony HanCarbondaleHeights10510
Anish JindalParkway WestNew Brighton1060
Alex CrowellRockford Auburn ARichard Montgomery11610
Rohan DalalJohns Creek BBarrington B11710
Charles YoungBarrington ADetroit Catholic Central A11710
Lindsay RhodeBelvidereDetroit Catholic Central B11710
Brielle RachRockford Auburn BWest Point1170
Suhit DamaniInnovation Academy BMaggie Walker B11710
Anvith VanukuriWilliam FremdJohns Creek A11710
Pete WasserNorrisLake Highland11710
Brodie HenryWest PointRockford Auburn B1170
Karl BarnickolWalter PaytonNorthmont A11710
Evan LinWoodlandPlymouth11710
Aaryan SumeshThomas Jefferson CThomas Jefferson D11710
Joy AnChoate Rosemary HallMaggie Walker C11710
Clete ReinbergerCincinnati Hills ChristianWashington11710
Ella SheffieldMercer CountyDetroit Catholic Central C11710
Isaac McCollumHoover BMoberly11810
Camden WilliamsMexicoWinston Churchill B11810
Hatice CaliskanCarl SandburgStevenson A1180
Prahalad RaoSolonHunter A11810
Chakri GudlavalletiDunbarSt. Mark's1180
Max KoldaJohn Adams AStevenson B1180
Jiming ChenHinsdale CentralInnovation Academy A11810
Safal SapkotaElkhorn NorthJohn Adams B11810
Ayan KohliHunter BNorman11810
Thomas BelcherSaint JosephNorthmont B11810
Puna EkkaNew BrightonParkway West11810
Aeres ZhouDetroit Country DayMira Loma11810
Yaj JhajhriaCanyon CrestThomas Jefferson A11810
Ali HamzehKinkaidTroy11810