Sentence examples for do there exist from inspiring English sources

The question posed (and answered completely) by William G. Leavitt in the early 1960's regards the existence of a middle ground between IBN and SBN: do there exist rings for which R R i ≅ R R j for some, but not all, pairs i, j ∈ N ?

It's an irony that only in baseball do there exist perfect games.

Do there exist cross-RTS similar to cross-efficiencies and which consequences do such cross-RTS have upon a DMUs scale-sizing.

In 1957, Isbel [1] (see also [2]) posed an interesting problem: If { f n } n ∈ N is a family of commuting continuous self-mappings of [ 0, 1 ] then do there exist common fixed points for { f n } ?

Given a connected graph G, do there exist G S and G T, two θ-powers of paths P S and P T, whose intersection contains G as an induced subgraph?

Now a natural question arises: for what kind of weights a and b do there exist no, finitely many, or infinitely many positive Dirichlet or Neumann type half-eigenvalues?

Does there exist a loop of size 100?

But did there exist a legitimate problem that wasn't being addressed?

Does there exist, anywhere, an unadulterated land of childhood fantasy and imagination?

Does there exist a Greek island which is not self-catered to death?

Nowhere does there exist a greater chance of making an amazing discovery than in a museum collection.