Sentence examples for greatest element and from inspiring English sources

The greatest fixed point x* of G is the minimum of the chain D of [x-, x+] that is inversely well ordered, i.e., every nonempty subset of D has the greatest element, and that has the following property: ( I I ) x + = max D, a n d i f x < x +, t h e n x ∈ D i f a n d o n l y i f x = inf G [ { y ∈ D : x < y } ].

It's a really great element and I can really get sucked into it.

If (uin A), we say that u is the greatest element of A and denote (u=max A).

They gave some equivalent conditions, under which a derivation is isotone for lattices with a greatest element, modular lattices and distributive lattices, respectively.

An element u of P is called an upper bound of a subset A of P if x ⪯ u for each x ∈ A. If u ∈ A, then u is called the greatest element of A and is denoted by u = max A. If the set of all upper bounds of A has the smallest element, we call it the supremum of A and denote it by supA or ∨A.

Let ( L, ∧, ∨, 0, 1 ) be a complete lattice with the least element 0 and the greatest element 1.

We are going to show that possesses the smallest and the greatest element with respect to the given partial ordering.

If is the greatest element both in its row and in its column, these two points will be identified as a candidate match.

In [2] the author presents the following result 'concerning so-called intervined': Let X be a chain complete ordered set possessing a least and a greatest element.

Let L be any lattice with the least element 0 and the greatest element 1. Θ : Z × Z → L defined by Θ ( a, b ) = { 1 if  a = b ; 0 if  a ≠ b  .

Let L be any lattice with the least element 0 and the greatest element 1. Θ : Z × Z → L defined by Θ ( a, b ) = { 1 if  a = b ; 0 if  a ≠ b. is a T L -fuzzy relational morphism on ℤ but it is not full since Θ ( 3, 3 ) ∨ Θ ( 1, 2 ) = 1 ∨ 0 ≰ 0 = Θ ( 3, 6 ).