Question

These structures are the objects in the representative example of a compact closed category. Modules are analogous to these structures defined over (-5[1])rings, (15[1]-5[1])and an algebra equips one of these structures with a bilinear product. A representation is a group homomorphism from a group G to the automorphism group of one of these structures. The set of linear functionals on one of these structures forms [emphasize] another one of these structures called the (*) dual space. Norms assign elements of these structures to non-negative reals and may be induced by an inner product. Linear (-5[1])maps (10[1])are functions (-5[1])between these structures, which are closed under addition and scalar multiplication. The number of elements of the basis of one of these structures gives their dimension. For 10 points, identify these sets consisting of objects that may have a magnitude and direction. (10[1])■END■ (10[1]0[1])

ANSWER: vector spaces [or linear space; accept real vector spaces; accept complex vector spaces; reject “vectors”]
<VD, Other Science: Math>
= Average correct buzz position

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Buzzes

PlayerTeamOpponentBuzz PositionValue
Ezra SantosChicago BNotre Dame A21-5
Max BrodskyIllinois APurdue A22-5
Zach JosephNotre Dame AChicago B2215
David NickelPurdue BIndiana92-5
John MarvinChicago ANotre Dame B9310
Aidan FeinVanderbiltIllinois B95-5
akshar goyalIllinois BVanderbilt13710
Tanuj ChandekarIndianaPurdue B1380
Ben DahlPurdue AIllinois A13810

Summary

2023 ARCADIA at UC BerkeleyPremiereY2100%100%0%20.50
2023 ARCADIA at Carleton UniversityPremiereY367%33%33%48.00
2023 ARCADIA at Claremont CollegesPremiereY1100%100%0%26.00
2023 ARCADIA at IndianaPremiereY580%20%80%97.50
2023 ARCADIA at RITPremiereY2100%50%0%69.00
2023 ARCADIA at WUSTLPremiereY367%0%33%137.50