Some of them can be exactly separated in polynomial time.
Among the 579 BceS homologues collected, 212 showed the same architectural features as B. subtilis BceS, i.e. exactly two TMS separated by a loop consisting of 12 amino acids or less.
As mentioned before, exactly separating the noise and the speech is not possible.
A Skolem sequence of order n is a sequence Sn="(s1,…2,s2n2n) of 2n integers containing each of the integers 1,2,…,n exactly twice, such that two occurrences of the integer j∈{1,2,…,n} are separated by exactly j−1 integers.
A hooked Skolem sequence of order n is a sequence hSn="(s1,…2,s2n+1+1) of 2n+1 integers containing each of the integers 1,2,…,n exactly twice, such that two occurrences of the integer j∈{1,2,…,n} are separated by exactly j−1 integers, and s2n="0.
At five kilometers, the top 10 runners were separated by exactly one second.
Each peak was separated by exactly 7 days and lasted for 2 days.
The two visits to the sleep lab were separated by exactly one week.
We can prove that any pair of complementary sensor subsets of S1 is separated by exactly three hops.
The set S1 found by Algorithm 1 is an independent set, and any pair of complementary sensor subsets of S1 is separated by exactly three hops.
