initial mass functions - 2024 ACF Nationals

Question

Contrary to intuition, these functions do not vary systematically with properties of a galaxy. For 10 points each:

[10h] Name these functions written as a piecewise power law, in which one piece is the original Salpeter power law with an exponent of negative 2.35.

ANSWER: initial mass functions [or IMFs]

[10m] An initial mass function, or IMF, is used to derive the rate of this process from the amount of ionizing radiation emitted by a galaxy. The rate of this process scales with some power of the gas surface density according to the Kennicutt–Schmidt law.

ANSWER: star formation [or word forms of star-forming; or descriptions of stars being created; accept star formation rate]

[10e] Unresolved binaries complicate the determination of IMFs because the relation of stellar mass to this quantity breaks down. Unlike magnitude and brightness, this quantity is an intrinsic measure of radiant power.

ANSWER: luminosity [prompt on L]

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Data

Team	Opponent	Part 1	Part 2	Part 3	Total
Berkeley B	Vanderbilt	0	0	10	10
Brown	Berkeley A	0	10	0	10
Chicago A	North Carolina A	10	10	10	30
Chicago B	Purdue	0	10	10	20
Cornell A	Minnesota A	0	10	10	20
Cornell B	Kentucky	0	0	10	10
Duke	Yale B	0	0	10	10
Florida	WUSTL B	0	10	10	20
Harvard	McGill	0	10	10	20
Illinois	Johns Hopkins	0	0	10	10
Michigan	Georgia Tech	0	10	10	20
Minnesota B	Truman State	0	0	10	10
NYU	Maryland	0	0	10	10
North Carolina B	Chicago C	0	10	10	20
Northwestern	Toronto A	0	0	10	10
Ottawa	Columbia B	0	10	10	20
Penn	Virginia	0	0	10	10
Rutgers	Claremont Colleges	0	10	10	20
South Carolina	Chicago D	0	10	10	20
Stanford	Indiana	0	10	10	20
Toronto B	Arizona State	0	0	10	10
WUSTL A	Columbia A	0	10	10	20
Waterloo	Texas	0	10	10	20
Yale A	Iowa State	0	0	10	10

Summary

Tournament	Edition	Exact Match?	Heard	PPB	Easy %	Medium %	Hard %
2024 ACF Nationals	04/21/2024	Y	24	15.83	96%	58%	4%