Question

One of these sets is divided into simpler regions in Schwarz methods, which fall under a class of methods named for the “decomposition” of these sets. In complex analysis, either “region” or the word for this type of set also refers to a nonempty open connected set. One of these sets can be extended while preserving a norm dominance condition via the Hahn–Banach theorem. In complex analysis, one of these sets is extended via analytic continuation. One of these sets must be at least as large as a related set for a surjection and no larger for an injection. (10[1])In a common visualization, arrows point rightward from an oval representing one of these sets (10[1])to an oval representing a related set prefixed “co.” (10[1])For 10 points, give this term for the set of all inputs to a function, which maps to its range. ■END■ (10[3])

ANSWER: domains [accept natural domains or domains of definition; prompt on dom; prompt on inputs to a function until read; prompt on arguments of a function; prompt on basis]
<TM, Other Science>
= Average correct buzz position

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Buzzes

PlayerTeamOpponentBuzz PositionValue
Yashwanth BajjiMichigan AMichigan C9810
Calvin BostlemanOhio State AMichigan State11310
David NiemanCarnegie Mellon ACase Western A12210
Kevin ZhengMichigan BMichigan D14310
Aditya PatnaikOhio State BCase Western B14310
Jayden KuCarnegie Mellon BKenyon14310

Summary

Florida2025-02-01Y3100%0%33%141.00
Great Lakes2025-02-01Y6100%0%0%127.00
Lower Mid-Atlantic2025-02-01Y6100%0%17%123.83
Midwest2025-02-01Y2100%0%0%87.00
North2025-02-01Y3100%0%33%120.67
Northeast2025-02-01Y580%0%20%101.25
Overflow2025-02-01Y5100%0%20%127.00
Pacific Northwest2025-02-01Y2100%0%50%126.00
Southeast2025-02-01Y4100%0%0%132.75
UK2025-02-01Y10100%0%30%103.30
Upper Mid-Atlantic2025-02-01Y8100%0%38%110.63
Upstate NY2025-02-01Y3100%0%0%109.33