Ylärajan
Ylärajan is the Finnish term for an upper bound in mathematics. The form ylärajan is the genitive case, used in phrases such as ylärajan määritelmä or ylärajan arvo, indicating possession or association with an upper bound. In formal usage, yläraja refers to any value that is not smaller than every element of a given set.
Definition and properties: A real number M is an upper bound of a set S if every
Examples: For S = {1, 2, 3}, any upper bound is a number M ≥ 3; the least upper
Applications: Upper bounds are used to constrain sequences and functions, to prove convergence, and to bound
See also: alaraja (lower bound), bound, supremum, infimum. Etymology: ylä- means upper and raja means boundary