Question

These structures are the objects in the representative example of a compact closed category. Modules are analogs to these structures defined (15[1])over rings, and an algebra equips one of these structures with a bilinear product (15[1])on a field. (-5[1])A representation is a group homomorphism from a group G to the automorphism group of (15[1])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 (10[1])and may be induced by an inner product. Linear maps are functions 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. ■END■ (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

Buzzes

PlayerTeamOpponentBuzz PositionValue
Michael KohnDurhamCambridge A2015
Rose ConwayCambridge BWarwick3415
Nilai SardaImperial ABirmingham37-5
James ByrneBristolEdinburgh5215
Omer KeskinOxfordImperial B8610
Liam GaineBirminghamImperial A1410