Question

This quantity corresponds to hue rather than saturation or brightness in a visualization method called domain coloring. A result named for this quantity is invoked to compute a function nt (“n-sub-t”), which is both continuous and integer-valued and thus constant, in a standard proof of Rouche’s theorem. A formula named for this quantity sets the contour integral of “f prime over f” proportional to the number of zeros minus the number of poles of f within a (-5[1])region. This quantity is restricted to an interval (-5[1])when defining the (*) complex logarithm to avoid non-uniqueness. As a curve is traced, a jump in this quantity by its usual upper bound yields an increase of one in the winding number. This quantity is denoted phi in the expression “z equals r times e to the i phi.” For 10 points, (10[1])name this quantity that, along with the magnitude, parametrizes (-5[1])a complex number. (10[1])■END■ (10[1]0[1])

ANSWER: argument [or arg; accept angle or phase; accept argument principle]
<Morrison, Math>
= Average correct buzz position

Back to tossups

Buzzes

PlayerTeamOpponentBuzz PositionValue
Conor ThompsonTunks et al.Cleo: 5/7 movie75-5
Ali HamzehWilliams et al.Free-ish Agents83-5
Eleanor SettleWorld's Fair Wiggle WalkThe Present King of James is Bald13510
Sean FarrellHouston Junior CollegeRiley et al.144-5
Eric MukherjeeRiley et al.Houston Junior College14710
David BassCleo: 5/7 movieTunks et al.14810
Parikshit ChauhanFree-ish AgentsWilliams et al.1480

Summary

2024 ESPN @ Chicago03/23/2024Y5100%0%60%128.20
2024 ESPN @ Columbia03/23/2024Y786%0%43%137.50
2024 ESPN @ Duke03/23/2024Y2100%0%50%119.50
2024 ESPN @ Brown04/06/2024Y2100%50%0%112.00
2024 ESPN @ Cambridge04/06/2024Y2100%0%0%115.00
2024 ESPN @ Online06/01/2024Y475%0%75%143.33