Question

This word is the alphabetically later in a two word-named principle also named for Helmut Hasse which states that a quadratic form has a solution in the rationals if and only if it has a solution in any completion of the rationals. Small categories in which all hom-classes are sets are further described by this adjective. This word is the namesake of the ring operation written S inverse R, which generates a ring of fractions with denominators in S. Manifolds are often referred to as being “this adjective” Euclidean. This adjective generically describes properties of topological spaces satisfied in a neighborhood around each point. Relative extrema are also named for this adjective, (10[1])and occur when the derivative of a function changes sign. For 10 points, what kind of minimum may not be the smallest value a function takes over its entire domain? ■END■

ANSWER: local [or locally; accept localization or local ring; accept locally small category; accept local property; accept local minimum or local maximum or local extremum]
<Other Science>
= Average correct buzz position

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Buzzes

PlayerTeamOpponentBuzz PositionValue
Raymond WangCornell ACornell B11110

Summary

2024 ACF Regionals @ Cornell01/27/2024Y1100%0%0%111.00
2024 ACF Regionals @ JMU01/27/2024Y989%0%44%110.75
2024 ACF Regionals @ Minnesota01/27/2024Y2100%0%0%94.50
2024 ACF Regionals @ Nebraska01/27/2024Y683%0%33%112.60
2024 ACF Regionals @ Rutgers01/27/2024Y5100%0%40%111.40
2024 ACF Regionals @ Vanderbilt01/27/2024Y580%0%40%124.50