Sentence examples for a greatest element from inspiring English sources

If there exists a greatest element of one set or a least element of the other set, then the cut defines a rational number; otherwise the cut defines an irrational number.

This shows that the set { x ∣ x ∧ a ≤ b } has a greatest element a ∗.

So, we have that d − 1 ( b ) has a greatest element b : a. (2) ⇒ (3).

Every Boolean algebra and every Heyting algebra A has a greatest element according to their natural order, that is denoted usually by 1A and interprets the symbol ⊤.

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.

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

But there is a greater element.

By scaling it back we will be able to introduce a greater element of common sense.

"The museum is a great element of urban marketing, but not a cultural policy".

"An art installer is a great element to this makeover, because I have so much art," she said.

Solutions to the problem of persons not currently covered or inadequately covered by social insurance programs normally require a greater element of tax financing.