BACKGROUND The standard three-tube, three-color flow cytometric method utilizing the TriTEST reagents in conjunction with the MultiSET software commonly used in most laboratories in Thailand for CD4 enumeration is expensive and thus unavailable to most HIV-infected patients. A more affordable method, i.e., the PanLeucogating protocol using only two monoclonal antibody reagents, has been describ...

Among private set operations, the privacy preserving element reduction of a multiset can be an important tool for privacy enhancing technology as itself or in the combination with other private set operations. Recently, a protocol, over-threshold-set-union-protocol, for a privacy preserving element reduction method of a multiset was proposed by Kissner and Song in Crypto 2005. In this paper, we...

We show that the family Sem = mREG = mCF of regular multiset languages is closed under applications of finite and iterated multiset-union, finite and iterated multiset-intersection, and multiset-subtraction. For the class Sem(šk) of semilinear subsets of šk, or that of Žk, Sem := ⋃k≥0 Sem(Žk), this amounts to verify, that the component-wise maximum, minimum or non-negative subtraction of pairs ...

We introduce the multiset partition algebra $${\cal M}{{\cal P}_k}\left(\xi \right)$$ over polynomial ring F[ξ], where F is a field of characteristic 0 and k positive integer. When ξ specialized to integer n, we establish Schur—Weyl duality between actions resulting P}_k}\left(n symmetric group Sn on Symk(Fn). The construction generalizes any vector λ non-negative integers yielding P}_\lambda}\...