artificial immune systems (ais) can be defined as soft computing systems inspired by immune system of vertebrates. immune system is an adaptive pattern recognition system. ais have been used in pattern recognition, machine learning, optimization and clustering. feature reduction refers to the problem of selecting those input features that are most predictive of a given outcome; a problem encoun...

social institutions have not changed equally, completely and simultaneously under the impact of modernization process. different levels of the family construction have been formed disharmoniously with social changes. that is why we are witnessing incompatible coactions among a some parts of traditional family norms on one side, and the values arisen from modernization. so that in some cases thi...

The privacy preserving multiset union (PPMU) protocol allows a set of parties, each with a multiset, to collaboratively compute a multiset union secretly, meaning that any information other than union is not revealed. We propose an efficient PPMU protocol, using multiplicative homomorphic property of ElGamal encryption over Fq[x]/f(x) where q is a prime and f(x) is an irreducible polynomial ove...

We introduce a Poisson variety compatible with a cluster algebra structure and a compatible toric action on this variety. We study Poisson and topological properties of the union of generic orbits of this toric action. In particular, we compute the number of connected components of the union of generic toric orbits for cluster algebras over real numbers. As a corollary we compute the number of ...

We recast a network generating partial differential equation system into singular limit of dissipative gradient flow model, which not only identifies the consistent physical boundary conditions but also generates networks. then develop set structure-preserving numerical algorithms for model. Using energy quadratization (EQ) method, we reformulate an equivalent one with quadratic density by intr...

Some conditions equivalent to a strong quasi-divisor property (SQDP) for a partly ordered group G are derived. It is proved that if G is defined by a family of t-valuations of finite character, then G admits an SQDP if and only if it admits a quasi-divisor property and any finitely generated t-ideal is generated by two elements. A topological density condition in topological group of finitely g...