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 is called an atom. This quantity for a countable (15[1])union of sets is less than or equal (15[1])to the sum of this quantity over each individual set (-5[1])due to the (15[1])property of (*) subadditivity. Functions involving this quantity are defined over sigma-algebras. It’s not cardinality, but this quantity is always zero for an empty set. (10[1])For any closed or open interval (10[1])from a to b, the Lebesgue form of this quantity is b minus a. For 10 points, name this quantity that yields the “size” of a set, (-5[1])examples of which include length, area, and volume. ■END■ (10[1]0[3])

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

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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

Buzzes

PlayerTeamOpponentBuzz PositionValue
Jeremy CummingsWUSTLPurdue5515
Max BrodskyIllinois ANorthwestern A6315
Coby TranChicago BIndiana B73-5
Alex AkridgeIndiana AIllinois B7615
Adam FineChicago ANotre Dame A10010
Stephen WalshNorthwestern BNotre Dame C10610
Jacob FinleyNotre Dame BIllinois C133-5
David ZhangIllinois CNotre Dame B14210
Trenton BurgessIndiana BChicago B1420
Logan MathisSIUEMinnesota1420
Joel MilesMinnesotaSIUE1420