Sentence examples for a largest element from inspiring English sources

Furthermore, the Nash set has a largest element and a smallest element.

A lattice L is said to be bounded iff it contains a smallest element 0 and a largest element 1.

Then there is a largest element xα0, otherwise the l.u.b. of the chain would be a larger element.

Now, since {U λ :λ∈Θ} is point finite and Θ is well ordered, there exists a largest element ξ ∈ Θ such that x α q U ξ. Now if ξ ≥ μ then x α q ∨ λ ≥ μ U λ Open image in new window and if ξ < μ then x α q ∨ λ < μ V λ Open image in new window.

Then L has a largest element, starting with p1 and choosing the largest available symbol in all following positions, while R has a smallest element obtained by following p2 by the smallest symbol in all positions.

The collection of infinite strings of symbols taken from any finite "alphabet", lexicographically ordered, can be partitioned into two non-empty parts L, R, such that every element of L is less than every element of R, while L contains a largest element and R contains a smallest element.

During our period of acute financial distress a year ago, we found out that a large element outside this region actively disliked us - even revelled in the prospect of our ruin.

"There's also a large element of excitement and anticipation.

As it happens, the bags have a large element of a watery blue.

Apparently, all are possible sightings, although a hat-trick would involve a large element of luck.

But what he said struck a deep chord, because it contained a large element of truth.