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. This adjective generically (10[1]-5[1])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 (10[1])derivative of a function changes sign. (-5[1])For 10 points, (-5[1])what kind of minimum may not be the smallest value a function takes over its entire (10[1]-5[1])domain? ■END■ (10[2]0[1])