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