Question

These structures are the objects in the representative example of a compact closed category. Modules are analogs to these structures defined over (15[1])rings, (15[1])and an algebra equips one of these structures with a bilinear product on a field. A representation is a group homomorphism from a group G to the automorphism group of one of these structures. (-5[1])The set of linear functionals on one of these structures forms [emphasize] another one of these structures called the (*) dual space. (10[1])Norms assign elements of these structures to non-negative reals and may be induced by an inner product. (-5[1])Linear maps are functions between these structures, which are closed under addition and scalar multiplication. (10[1]-5[1])The number of elements of the basis of one of these structures (10[1]-5[1])gives their dimension. (10[1])For 10 points, identify these sets consisting of objects that may have (10[1])a magnitude and direction. ■END■ (10[3]0[6])

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

Buzzes

PlayerTeamOpponentBuzz PositionValue
Arya KarthikGeorgia Tech DGeorgia Tech A2115
Chinmay MurthyTexas ATexas B2215
Rohan DalalGeorgia Tech CGeorgia Tech B56-5
Dennis YangMichigan B Ohio State B7710
James StevensonMichigan A Kenyon A 94-5
Jon GolanGeorgia ATennessee A109-5
CalvinOSU AKenyon B10910
John NolanNC StateJames Madison A12110
Jack ObermanSouth Carolina ANorth Carolina A121-5
Dimitris KalafatisTAMUHCC12410
Ivan StanisavljevicDukeJames Madison B13610
Benjamin McAvoy-BickfordNorth Carolina BSouth Carolina B14110
Benny ShtutmanSouth Carolina BNorth Carolina B1410
Martin BrandenburgGeorgia BEmory A14110
Alexander WyrickTennessee AGeorgia A1410
Tarun KotiEmory AGeorgia B1410
Quentin MotGeorgia Tech BGeorgia Tech C14110
Owen BrownKenyon A Michigan A 1410
Ketan PamurthyTAG Magnet: Taylor's VersionTexas C1410
Gia Harvey-SlagerTexas CTAG Magnet: Taylor's Version1410