We study infinitesimal deformations of autodual and hyper-holomorphic connections on complex vector bundles hyper-Kähler manifolds arbitrary dimension. In particular, we describe the DG Lie algebra controlling this deformation problem. Moreover, prove associative formality for derived endomorphisms a holomorphic bundle admitting projectively connection.

in this paper, the hyper - zagreb index of the cartesian product, composition and corona product of graphs are computed. these corrects some errors in g. h. shirdel et al.[11].

background: hyper ige syndrome (hies) is a rare primary immune deficiency, described as job`s syndrome characterized by increased serum levels of ige, eczema, recurrent cutaneous and pulmonary infections. in this paper, we presented a case of hyper ige syndrome.case presentation: a 16-year-old iranian boy presented with a one year history of skin lesions in knees and elbows was diagnosed of pso...

Using the notion of bipolar-valued fuzzy sets, the concepts of bipolar fuzzy (weak, s-weak, strong) hyper BCK-ideals are introduced, and their relations are discussed in [3]. Further properties are investigated in this article. We show that if Φ = (H ;μΦ , μ N Φ ) is a bipolar fuzzy (weak, strong) hyper BCK-ideal of a hyper BCK-algebra H, then the set I := {x ∈ H | μΦ(x) = μΦ(0), μΦ (x) = μΦ (0...

A graph G= (V, E) is called a hyper-ring with N nodes (N-HR for short) if V = {0, ..., N-1} and E = {(u,v)| v-u modulo N is a power of 2}. In other words, a hyper-ring with N nodes is a graph in which all of the edges connect nodes that are at distances of powers of 2 from each other. Hyper-rings are a multi-machine organization that is, in a sense, a generalization of the standard hyper-cube a...