Question

When this quantity is infinite, Vitali’s theorem states that the convergence of a sequence of functions implies the existence of uniformly absolutely continuous integrals. If A has a positive value for this quantity and an arbitrary subset B has a zero value for this quantity, then A (15[1])is called an atom. This quantity for a countable union of sets is less than or equal to the sum of this quantity over each individual set due to the property of (*) subadditivity. (-5[1])Functions involving this quantity (-5[1])are defined over sigma-algebras. (10[1])It’s not cardinality, but this quantity is always zero for an empty set. (-5[1])For any closed or open interval from a to b, the Lebesgue form of this quantity (10[1])is b minus a. For 10 points, name this quantity that yields the “size” of a set, examples of which include length, area, and volume. ■END■ (10[1]0[1])

ANSWER: measure [accept Lebesgue measure; prompt on mu or m]
<Ezra Santos, Other Science>
= Average correct buzz position

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Buzzes

PlayerTeamOpponentBuzz PositionValue
Matt BoothFour Times I Have Despised My SoulSee it4615
Eveline OngOxford School for QuiznessGressenheller A79-5
Albery NyangLSEThe Crying of Team 4983-5
Delia CropperSay itSorted8710
Justin KeungLimp Chriskit3HK1MM100-5
Ethan WebbThe Crying of Team 49LSE11610
Michael Mays3HK1MMLimp Chriskit1420
Sam MooreGressenheller AOxford School for Quizness14210

Summary

2024 Penn Bowl UNC10/26/2024Y367%0%67%90.00
2024 Penn Bowl Florida10/26/2024Y250%0%50%87.00
2024 Penn Bowl Harvard10/26/2024Y3100%67%33%58.67
2024 Penn Bowl UK10/26/2024Y580%20%60%97.75
2024 Penn Bowl Berkeley11/02/2024Y2100%100%0%45.50
2024 Penn Bowl Mainsite11/02/2024Y367%33%67%96.00
2024 Penn Bowl CWRU11/02/2024Y475%25%25%88.00
2024 Penn Bowl Chicago11/02/2024Y875%38%25%90.33
2024 Penn Bowl Texas11/02/2024Y250%0%100%142.00