Order bound dual information

In mathematics, specifically in order theory and functional analysis, the order bound dual of an ordered vector space X {\displaystyle X} is the set of...

vector space X {\displaystyle X} that map every order interval into a bounded set is called the order bound dual of X {\displaystyle X} and denoted by X b ...

element of K that is greater than or equal to every element of S. Dually, a lower bound or minorant of S is defined to be an element of K that is less than...

its order bound dual is a vector subspace of its algebraic dual. A subset A {\displaystyle A} of a vector lattice E {\displaystyle E} is called order complete...

any vector space V {\displaystyle V} has a corresponding dual vector space (or just dual space for short) consisting of all linear forms on V , {\displaystyle...

complete if every of its subsets with some upper bound also has a least such upper bound. The dual notion is not common. Chain. A chain is a totally...

defined dually. More complicated lower subsets are ideals, which have the additional property that each two of their elements have an upper bound within...

The dual of a non-strict partial order is a non-strict partial order, and the dual of a strict partial order is a strict partial order. The dual of a...

partially ordered set that has a join (a least upper bound) for any nonempty finite subset. Dually, a meet-semilattice (or lower semilattice) is a partially...

supremum is also referred to as the least upper bound (or LUB). The infimum is in a precise sense dual to the concept of a supremum. Infima and suprema...

of protons and generally neutrons, surrounded by an electromagnetically bound swarm of electrons. The chemical elements are distinguished from each other...

specifically order theory, the join of a subset S {\displaystyle S} of a partially ordered set P {\displaystyle P} is the supremum (least upper bound) of S ...

In mathematics, a dual system, dual pair or a duality over a field K {\displaystyle \mathbb {K} } is a triple ( X , Y , b ) {\displaystyle (X,Y,b)} consisting...

Bekenstein bound Beyond black holes Bousso's holographic bound Brane cosmology Digital physics Entropic gravity Implicate and explicate order Quantum speed...

discipline of graph theory, the dual graph of a planar graph G is a graph that has a vertex for each face of G. The dual graph has an edge for each pair...

class—any lower bound for ≤ is easily seen to be an upper bound for the dual partial order ≥. McMorris, F.R.; Zaslavsky, T. (1982). "Bound graphs of a partially...

In mathematics, Pontryagin duality is a duality between locally compact abelian groups that allows generalizing Fourier transform to all such groups, which...

the fact that CohLoc in turn is dual to the category DLat01 of bounded distributive lattices. Hence, DLat01 is dual to CohSp—one obtains Stone's representation...

real number line Antichain Strict order Hasse diagram Directed acyclic graph Duality (order theory) Product order Greatest element (maximum, top, unit)...

an order isomorphism from A to a subset of B):[citation needed] The natural numbers form an initial non-empty totally ordered set with no upper bound. The...

A bound state is a composite of two or more fundamental building blocks, such as particles, atoms, or bodies, that behaves as a single object and in which...