Sentence examples for exists a subset of from inspiring English sources

We prove, however, that there exists a subset of problems for which the computational complexity remains NP-hard.

Then for a given, there exists such that there exists a subset of with, where (3.15)  .

for a.e., there exists a subset of with such that on.

Suppose there exists a subset of items S such that (sum _{iin S}W_{i}leq C) and (sum _{iin S}V_{i}geq P).

By Lemma 2.10, there exists a subset of finite logarithmic measure, namely such that for some point satisfying and, we obtain (5.13).

However, there exists a subset of unknown unknowns; i.e., pathologies where the surgeon is not aware that MRI can lead to misdiagnosis.

More specifically, does there exist a subset of k-mers that can provide accurate transcriptome quantification?

There may exist a subset of patients in whom the increased metabolic demands incurred by active absorption of nutrients and increased motility result in critical ischaemia and infarction.

Instance: a set of positive integers A = { a0,..., a n } and a positive integer s Question: does there exist a subset A' of A such that the sum of the elements of A' equals exactly s? Lemma 1 There exists a polynomial reduction from the SUBSET SUM problem to the ACCESSIBLE SCORE problem.

Assuming that there are no errors either in the ORM or the fragment sizes of the contigs, for any given ordered fragment sizes of a contig, in general, there will exist a subset of matching ordered fragment sizes in the ORM.

Property 2.3 If there exists a subset ℰ of R q such that 1.