symmetry - 2025 Penn Bowl - Buzzpoints App

Question

In index notation, an operation named for this property is denoted with parentheses around the indices of a tensor. For 10 points each:

[10e] Name this property possessed by tensors that are invariant under the pullback of a given diffeomorphism. Shapes that have this property with respect to reflection are the same when flipped across the axis of reflection.

ANSWER: symmetry [accept word forms like symmetric; accept symmetrization; reject “isometry”]

[10h] These objects are defined as having a covariant derivative that vanishes when symmetrized. The set of all of these objects for Minkowski space generates the Lie (“lee”) algebra of the Poincaré (“pwan-cah-RAY”) group.

ANSWER: Killing vector fields [or Killing vectors; or Killing fields; accept Killing tensors]

[10m] Killing vector fields generate flows that preserve this quantity. This tensor assigns an inner product between any two vectors on a manifold, thereby defining a notion of distance.

ANSWER: metric tensor

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Summary


2025 Penn Bowl - BU	11/01/25	Y	4	20.00	100%	100%	0%
2025 Penn Bowl - CWRU	11/01/25	Y	2	10.00	100%	0%	0%
2025 Penn Bowl - Mainsite (UPenn)	11/01/25	Y	6	16.67	83%	83%	0%
2025 Penn Bowl - Murray State	11/08/25	Y	2	10.00	100%	0%	0%
2025 Penn Bowl - Online	11/08/25	Y	2	15.00	100%	50%	0%
2025 Penn Bowl - Ottawa	11/01/25	Y	7	14.29	100%	43%	0%
2025 Penn Bowl - UK	11/01/25	Y	9	15.56	89%	67%	0%
2025 Penn Bowl - UNC	11/01/25	Y	3	13.33	100%	33%	0%
2025 Penn Bowl - WashU	11/01/25	Y	2	10.00	50%	50%	0%

Data


MIT A	I've been running into you in my lead plumbocene what could have benzene	10	10	20
Brandeis	MIT B	10	10	20
Brown	RIT	10	10	20
Harvard	Yale	10	10	20
Columbia A	JHU B	10	10	20
John Jay	Columbia B	0	10	10
Maryland C	Maryland A	10	0	10
NYU A	Maryland B	10	10	20
NYU B	Mount Sinai	10	10	20
Swarthmore	JHU A	10	10	20
Ohio State A	CWRU	10	0	10
Michigan A	Michigan B	10	0	10
Central Oklahoma	Texas B	10	0	10
Oklahoma	Texas A	10	0	10
abg academy	New Young Whigs of America	10	0	10
rusty shackleford	Wake Up Paddington A Washington Mystery	10	10	20
#OpenToBuzz	Toronto E	10	0	10
Guelph perfomative male competition	Aweille Kevin Fan osti continue comme ça	10	0	10
Ottawa 67s	McGill B	10	10	20
McGill Fartlets	Toronto Murder on the Rider Express	10	10	20
Queen's is monitoring the situation	Toronto Sunshine Bubbles	10	0	10
Carleton A	Toronto Operation PBSuccess	10	0	10
Toronto G	Waterloo you are crooked	10	10	20
To buzz is to be perceived	Burnaburiash's Lapis Lazuli	10	10	20
Quiztian Bale in Ratman Begins	Coughing Baby	10	10	20
Alas poor Warwick, I knew him Edinburgh	Hail to the Sheaf	10	10	20
Chimp Brisket	Knorr Stock Clue	10	0	10
Bristold	Of Mice and Penn	10	0	10
Washed Scrubs	Penn and the Art of Tossup-Bonus cycle Maintenance	10	10	20
The Bit and the Penndulum	Paul Quifford, or, It Was a Dark and Stormy Tournament	10	10	20
Galactic Ombudsmen	question mark	0	10	10
why is it called a score clue if nobody scores points on it	1. Wawa 2. Blank Street 151. Black Sheep at Kings Cross rail	10	0	10
Wise Duke	VT B	10	0	10
Planck Sinatra	UNC A	10	0	10
VT A	UNC B	10	10	20
Truman State	VJ Edgecombe School of Interior Design - Edwardsville	0	0	0
WashU Kiki	WashU Bouba	10	10	20