Question

Multiplying x to the three-halves power by this function, then expanding out and integrating, gives rise to the value [read slowly] “[emphasize] plus wavelength cubed divided by [pause] 4 root 2 times a numerical factor” for the coefficient B2 (“B-two”). An integral of the product of this function with another function can be approximated using the Sommerfeld expansion, (10[1])as exemplified by integrating this function times the density of states to find (-5[1])the carrier concentration. This function becomes a step function (10[1])in the limit of absolute (10[1])zero, (10[2])because its denominator includes (10[1])the exponential (10[1])of “epsilon minus mu all over kT,” all [emphasize] plus one. (10[1])This distribution’s maximum value is (10[1])1, corresponding to the Pauli exclusion (10[1])principle. (10[2]-5[1])For 10 (10[1])points, (10[1])what distribution describes particles with (10[1])half-integer spin, in contrast (10[1])to the Bose–Einstein distribution? (10[1])■END■ (10[3])

ANSWER: Fermi–Dirac distribution [or Fermi–Dirac statistics; prompt on logistic function or sigmoid function] (The numerical factor in the first line is the spin multiplicity.)
<Physics>
= Average correct buzz position

Summary

2024 ACF Nationals2024-04-21Y20100%0%10%105.20

Buzzes

PlayerTeamOpponentBuzz PositionValue
Danny HanPennPurdue5610
Shiv SeshanChicago DBerkeley A69-5
Chinmay MurthyTexasArizona State7810
Alex AkridgeIndianaBerkeley B8310
Rasheeq AzadNorth Carolina BCornell A8410
Forrest WeintraubColumbia AOttawa8410
Jason ZhangToronto BColumbia B8810
Simon GorbatyDukeWUSTL A9010
Tim MorrisonStanfordMaryland10110
Andrew WangIllinoisMinnesota A10610
Adam FineChicago AGeorgia Tech11210
Asha BasuMcGillChicago C11310
Connor BlakeChicago BRutgers11310
Aidan FeinVanderbiltTruman State113-5
Jason HongBrownClaremont Colleges11510
Liam KusalikWaterlooMichigan11610
Jeremy CummingsWUSTL BSouth Carolina12110
Kunaal ChandrashekarToronto AIowa State12510
Graham CopeFloridaVirginia12910
Swapnil GargBerkeley AChicago D13010
Morgan BozemanMinnesota BNYU13010
Fred GarveyTruman StateVanderbilt13010