least upper bound उदाहरण वाक्य
उदाहरण वाक्य
- More generally, we would like to restrict to a certain subset of elements as being sufficient for getting all other elements as least upper bounds.
- It consists of a partially ordered set in which every two elements have a unique supremum ( also called a least upper bound or meet ).
- present a unified framework for pre-processing Directed Acyclic Graphs ( DAGs ) to compute the least upper bound of two vertices in constant time.
- The least upper bound principle has also been analyzed in the program of reverse mathematics, where the exact strength of this principle has been determined.
- In order theory, this property can be generalized to a notion of dense and has the least upper bound property is called a linear continuum.
- In the axiomatic theory of real numbers, the non-existence of nonzero infinitesimal real numbers is implied by the least upper bound property as follows.
- If every subset that has " some " upper bounds has also a least upper bound, then the respective poset is called bounded complete.
- In general, subsets of this order do not have least upper bounds : just consider the set { 0.1, 0.3 }.
- The only real number axiom that does not follow easily from the definitions is the completeness of d ", i . e . the least upper bound property.
- The Nested Intervals Theorem is usually founded upon a more fundamental characteristic of the real numbers : the existence of least upper bounds or " suprema ".