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 (10[1])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 (10[1])“this adjective” Euclidean. (10[2]-5[1])This adjective generically (10[2]-5[1])describes properties of (10[1])topological spaces satisfied in a neighborhood around (10[1])each point. (10[2])Relative extrema (10[1])are also named for this adjective, (10[3])and occur when (-5[1])the (10[1])derivative (10[1])of a function (10[1])changes sign. (-5[2])For 10 points, (-5[3])what kind (-5[1])of minimum (10[1])may not be the smallest value (10[1])a function takes over its entire (10[1]-5[1])domain? ■END■ (10[5]0[2])

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

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

Buzzes

PlayerTeamOpponentBuzz PositionValue
Isaac Mammel (UG)Maryland A (Grad)UNC D (DII)6010
Rasheeq Azad (UG)UNC B (UG)Maryland C (DII)8510
Skand ParvatikarArizona StateMinnesota B8810
Akshay SeetharamClaremont ASorbonne88-5
Forrest Weintraub (UG)Columbia AColumbia C8810
Giovanni Mazzeo (DII)Virginia A (UG)Roanoke College A (DII)9110
Logan Mitchell (UG)JMU B (UG)Virginia B (UG)91-5
David BassJohns HopkinsNYU B9110
Jerry VinokurovJohn JayColumbia B9410
Conor ThompsonIowa StateMinnesota C10110
Chinmay MurthyTexas AMichigan State A10310
Corey SmithKentuckyMTSU10310
Seth WebbTexas A&M ARice A10510
Raymond WangCornell ACornell B11110
Joshua Schmidt (DII)Liberty B (DII)William & Mary A (UG)11110
Ryan DunnIowa BUBC A11110
Halle FriedmanNYU AVassar114-5
Ethan Cohen (UG)GWU A (UG)Liberty A (Grad)11510
Dimitris KalafatisTexas A&M BIowa A11610
Tegan KapadiaGeorgia Tech AGeodesic11910
Zander Werner (DII)Virginia C (UG)UNC C (UG)121-5
Ethan Furman (DII)HaverfordRowan121-5
Aiden Wegener (DII)GWU B (Grad)UNC A (Grad)124-5
Gavin BramerAppalachian StateUW A124-5
Rohan DalalGeorgia Tech BVanderbilt A124-5
Davin SivertsonAlabamaTennessee126-5
Sophie HiggsUW AAppalachian State12810
Jack ObermanSouth CarolinaVanderbilt B13410
Alex Emmert (UG)Maryland B (UG)JMU A (UG)14010
Carly Hemani (DII)JMU A (UG)Maryland B (UG)140-5
Benjamin McAvoy-Bickford (DII)UNC A (Grad)GWU B (Grad)14210
Brian Lai (DII)Virginia B (UG)JMU B (UG)14210
Michael Eng (UG)UNC C (UG)Virginia C (UG)1420
Cormac BeirneSorbonneClaremont A1420
Ashish KumbhardareRowanHaverford14210
Sam Macchi (DII)VassarNYU A14210
Gavin MarkoffVanderbilt AGeorgia Tech B14210