action - 2024 ACF Winter - Buzzpoints App

Question

Hamilton’s principle states that systems will take a path in configuration space where this quantity remains constant, thus expressing the principle of stationary [this quantity]. For 10 points each:

[10m] Name this quantity that equals the time integral of the Lagrangian.

ANSWER: action [accept principle of stationary action; prompt on S]

[10e] Stationary points of an action functional are the solutions to equations named for Joseph-Louis Lagrange and this mathematician. His namesake number e is approximately equal to 2.718.

ANSWER: Leonhard Euler (“OY-lur”) [accept Euler–Lagrange equations or Euler’s number]

[10h] The principle of stationary action is generalized by this formalism, which attempts to find the propagator by summing the functional “e to the action times i over h-bar” over all trajectories.

ANSWER: path integral formulation

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Summary


2024 ACF Winter at UC Berkeley	2024-11-16	Y	3	20.00	100%	67%	33%
2024 ACF Winter at Clemson	2024-11-16	Y	6	18.33	100%	67%	17%
2024 ACF Winter at Clemson	2024-11-16	Y	6	18.33	83%	33%	67%
2024 ACF Winter at Lehigh	2024-11-16	Y	7	17.14	100%	43%	29%
2024 ACF Winter at Northwestern	2024-11-16	Y	8	17.50	100%	63%	13%
2024 ACF Winter at Online	2024-11-16	Y	7	10.00	100%	0%	0%
2024 ACF Winter at Online	2024-11-16	Y	3	10.00	67%	0%	33%
2024 ACF Winter at Central Florida	2024-11-16	Y	4	22.50	100%	75%	50%
2024 ACF Winter at Oxford	2024-11-16	Y	8	21.25	100%	100%	13%
2024 ACF Winter at Brandeis	2024-11-16	Y	8	16.25	100%	50%	13%

Data


Berkeley A	Berkeley B	10	10	10	30
Stanford A	Stanford L	0	10	0	10
Berkeley C	Stanford M	10	10	0	20
Bard A	Johns Hopkins B	0	10	0	10
Columbia B	Princeton A	0	10	0	10
Johns Hopkins A	Haverford A	10	10	10	30
Central Oklahoma	WUSTL A	0	10	0	10
Central Oklahoma	Vassar A	0	10	0	10
Central Oklahoma	WUSTL A	0	10	0	10
Central Oklahoma	WUSTL A	0	10	10	20
Central Oklahoma	Vassar A	0	10	10	20
Central Oklahoma	WUSTL A	0	10	10	20
Central Oklahoma	WUSTL A	0	10	0	10
Central Oklahoma	Vassar A	0	10	0	10
Central Oklahoma	WUSTL A	0	10	0	10
Iowa	Vassar A	0	10	0	10
Central Oklahoma	WUSTL A	0	10	0	10
Central Oklahoma	Vassar A	0	10	0	10
Central Oklahoma	WUSTL A	0	10	0	10
Central Oklahoma	WUSTL A	0	10	10	20
Central Oklahoma	Vassar A	0	10	10	20
Central Oklahoma	WUSTL A	0	10	10	20
Central Oklahoma	WUSTL A	0	10	0	10
Central Oklahoma	Vassar A	0	10	0	10
Central Oklahoma	WUSTL A	0	10	0	10
Mississippi State	McGill E	0	0	0	0
Mississippi State	NYU B	0	0	0	0
Mississippi State	McGill E	0	0	0	0
Mississippi State	NYU B	0	0	0	0
Central Oklahoma	WUSTL A	0	10	0	10
Central Oklahoma	Vassar A	0	10	0	10
Central Oklahoma	WUSTL A	0	10	0	10
Central Oklahoma	WUSTL A	0	10	10	20
Central Oklahoma	Vassar A	0	10	10	20
Central Oklahoma	WUSTL A	0	10	10	20
Central Oklahoma	WUSTL A	0	10	0	10
Central Oklahoma	Vassar A	0	10	0	10
Central Oklahoma	WUSTL A	0	10	0	10
UCF A	Florida Tech B	10	10	10	30
UF D	Florida State University A	10	10	0	20
UF B	UF E	0	10	0	10
UF A	UF F	10	10	10	30
Imperial A	Bristol A	10	10	0	20
Cambridge A	Cambridge B	10	10	0	20
Oxford A	Cambridge C	10	10	10	30
Birmingham	Cambridge D	10	10	0	20
LSE B	Edinburgh	10	10	0	20
Imperial B	Southampton B	10	10	0	20
Manchester	LSE A	10	10	0	20
Oxford B	Warwick A	10	10	0	20
Emory B	Alabama A	0	10	10	20
Emory B	Georgia A	10	10	10	30
Emory B	Alabama A	0	10	0	10
Emory B	Georgia A	10	10	0	20
Georgia Tech F	Clemson A	10	10	10	30
Georgia Tech F	Georgia Tech C	10	10	10	30
Georgia Tech F	Clemson A	10	10	0	20
Georgia Tech F	Georgia Tech C	10	10	0	20
Auburn A	Emory A	10	10	10	30
Auburn A	Georgia Tech B	0	10	10	20
Auburn A	Emory A	10	10	0	20
Auburn A	Georgia Tech B	0	10	0	10
Georgia Tech B	Georgia Tech A	10	10	10	30
Georgia A	Georgia Tech C	0	10	0	10
Georgia Tech D	Georgia Tech E	10	10	0	20
Clemson A	Alabama A	0	10	0	10
Auburn A	Emory A	10	10	10	30
Auburn A	Georgia Tech B	0	10	10	20
Auburn A	Emory A	10	10	0	20
Auburn A	Georgia Tech B	0	10	0	10
Emory B	Alabama A	0	0	10	10
Emory B	Georgia A	10	0	10	20
Emory B	Alabama A	0	0	0	0
Emory B	Georgia A	10	0	0	10
Georgia Tech F	Clemson A	10	10	10	30
Georgia Tech F	Georgia Tech C	10	10	10	30
Georgia Tech F	Clemson A	10	10	0	20
Georgia Tech F	Georgia Tech C	10	10	0	20
Emory A	Georgia Tech D	0	10	10	20
Georgia Tech E	Georgia Tech A	0	10	0	10
Penn B	Rowan A	0	10	0	10
Penn State A	Lehigh	10	10	0	20
Rutgers A	Penn State B	0	10	0	10
Penn A	Rutgers C	10	10	10	30
WashU B	Miami	10	10	10	30
SIUE A	UIUC B	0	10	0	10
UChicago C	UChicago A	10	10	0	20
Purdue A	UChicago D	10	10	0	20
UIUC A	WashU D	10	10	0	20
Purdue B	UIUC C	10	10	0	20
Notre Dame	UIUC D	0	10	0	10
WashU C	Purdue C	0	10	0	10
McGill E	Texas A	0	10	0	10
Mississippi State	McGill E	0	10	0	10
Mississippi State	NYU B	0	10	0	10
Mississippi State	McGill E	0	10	0	10
Mississippi State	NYU B	0	10	0	10
Texas D	NYU A	0	10	0	10
Ole Miss	Texas C	0	10	0	10
Colorado College	Texas B	0	10	0	10
A Brandeis Supreme	Boston University A	0	10	0	10
Amherst A	Diamond Brandeis	10	10	0	20
Brandeises Brew	Brown A	0	10	0	10
MIT A	Carabrandeis	10	10	0	20
Harvard A	Yale C	10	10	10	30
Yale A	Tufts A	10	10	0	20
Northeastern A	Tufts B	0	10	0	10
Yale B	Williams A	0	10	0	10