complete lattice การใช้

• It remains to be proven that P is a complete lattice.
• Every poset that is a complete semilattice is also a complete lattice.
• The posets with this property are the complete lattices.
• :" Let L be a complete lattice and let f : L ?
• Some authors work even with more general structures than the real line, like complete lattices.
• L be an fixed points of f in L is also a complete lattice ."
• The subsequent generalization to complete lattices is widely accepted today as MM's theoretical foundation.
• Complete lattices are partially ordered sets, where every subset has an infimum and a supremum.
• The set of all clones is a closure system, hence it forms a complete lattice.
• This method is used, for example, in the proof that there is no complete lattice.
• A totally ordered set ( with its order topology ) which is a complete lattice is compact.
• Hence, considering complete lattices with complete semilattice morphisms boils down to considering Galois connections as morphisms.
• In 1986, Serra further generalized MM, this time to a theoretical framework based on complete lattices.
• Complete lattices and orders with a least element ( the " empty supremum " ) provide further examples.
• The set of all such functions forms a complete lattice under the operations of elementwise minimization and maximization.
• Scott approaches his derivation using a complete lattice, resulting in a topology dependent on the lattice structure.
• More specific complete lattices are complete Boolean algebras and complete Heyting algebras ( " locales " ).
• The Dedekind-MacNeille completion is the smallest complete lattice with " S " embedded in it.
• Nevertheless, the literature on occasion still takes complete join-or meet-semilattices to be complete lattices.
• Among all possible lattice completions, the Dedekind MacNeille completion is the smallest complete lattice with embedded in it.