upper bound
Let S be a set with a partial ordering ≤, and let T be a subset of S. An upper bound for T is an element z∈S such that x≤z for all x∈T. We say that T is bounded from above if there exists an upper bound for T.
Lower bound, and bounded from below are defined in a similar manner.
Title | upper bound |
Canonical name | UpperBound |
Date of creation | 2013-03-22 11:52:15 |
Last modified on | 2013-03-22 11:52:15 |
Owner | djao (24) |
Last modified by | djao (24) |
Numerical id | 9 |
Author | djao (24) |
Entry type | Definition |
Classification | msc 06A06 |
Classification | msc 11A07 |
Defines | bound |
Defines | lower bound |
Defines | bounded |
Defines | bounded from above |
Defines | bounded from below |