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