We study, in type A, the algebraic cycles (MV-cycles) discovered by I. Mirkovi´c and K. Vilonen [MV]. In particular, we partition the loop Grassmannian into smooth pieces such that the MV-cycles are their closures. We explicitly describe the points in each piece using the lattice model of the loop Grassmannian in type A. The partition is invariant under the action of the coweights and, up to th...

this paper provides a review on major ergodic features of semi-independent hyper mv {algebra dynamical systems. theorems are presentedto make contribution to calculate the entropy. particularly, it is proved that thetotal entropy of those semi-independent hyper mv {algebra dynamical systemsthat have a generator can be calculated with respect to their generator ratherthan considering all the par...

formerly the turkmenian stone loach was the only member of the genus metaschistura based on osteological characters. but recently, it is placed in the genus paraschistura based on mtdna coi data. to provide a detailed description of the osteological characteristics of paraschistura cristata (berg 1898), ten specimens of p. cristata were collected from the hari river basin in iran and their oste...

osteological features are important to study the taxonomy and phylogenetic relationship of fishes. since there is no information is available about osteological features of squalius orientalis , therefore this study was aimed to provide a detailed description of the osteological features of this species from the urmia lake basin of iran and comparing it with population of s. orientalis from the...

nitrogen containing bisphosphonate (n-bp) therapy is used extensively to treat osteoporosis and osteolytic bone lesions. recently, a special form of osteonecrosis limited to the maxillofacial skeleton has been discovered especially within those patients who are receiving either long-term n-bp therapy alone and/or associated with invasive dental procedure. bisphosphonates accumulate almost exclu...

The notions of bipolar fuzzy hyper MV-subalgebras, (weak) bipolar fuzzy hyper MV-deductive system and precisely weak bipolar fuzzy hyper MV-deductive system are introduced, and their relations are investigated. Characterizations of bipolar fuzzy hyper MV-subalgebras and weak bipolar fuzzy hyper MV-deductive systems are provided.

We study, in type A, the algebraic cycles (MV-cycles) discovered by I. Mirkovi´c and K. Vilonen [MV]. In particular, we partition the loop Grassmannian into smooth pieces such that the MV-cycles are their closures. We explicitly describe the points in each piece using the lattice model of the loop Grassmannian in type A. The partition is invariant under the action of the coweights and, up to th...