We introduce Chern degree functions for complexes of coherent sheaves on a polarized surface, which encode information given by stability conditions the boundary $(\alpha, \beta)$-plane. prove that these extend to continuous real valued and we study their differentiability in terms stability. For abelian surfaces, coincide with cohomological rank defined Jiang-Pareschi. illustrate some geometri...

the zagreb indices are the oldest graph invariants used in mathematical chemistry to predictthe chemical phenomena. in this paper we define the multiple versions of zagreb indicesbased on degrees of vertices in a given graph and then we compute the first and secondextremal graphs for them.

in this work, a bench-scale process was developed using mineral-processing methods to recover iron from a placer deposit located in bardaskan, khorasan-e-razavi, iran. the mineralogical studies were performed by x-ray diffraction (xrd), x-ray fluorescence (xrf), electron probe micro-analyzer (epma), and an optical microscope. these studies indicated that titanomagnetite, magnetite, and hematite...

the degree set of a graph is the set of its degrees. kapoor et al. [degree sets for graphs, fund. math. 95 (1977) 189-194] proved that for every set of positive integers, there exists a graph of diameter at most two and radius one with that degree set. furthermore, the minimum order of such a graph is determined. a graph is 2-self- centered if its radius and diameter are two. in this paper for ...

background: sleep apnea is associated with increased risk ofdiabetes mellitus. however, no studies have compared sleep apneasymptoms in diabetic patients and their first degree relatives.the purpose of our study was to investigate high risk for sleepapnea syndrome, in diabetics and their first degree relatives forprevention of diabetes in family.methods: as a part of a cohort study, all of diab...

the edge tenacity te(g) of a graph g is dened as:te(g) = min {[|x|+τ(g-x)]/[ω(g-x)-1]|x ⊆ e(g) and ω(g-x) > 1} where the minimum is taken over every edge-cutset x that separates g into ω(g - x) components, and by τ(g - x) we denote the order of a largest component of g. the objective of this paper is to determine this quantity for split graphs. let g = (z; i; e) be a noncomplete connected spli...

abstract in order to investigate the freezing tolerance of field grown fennel (fueniculum vulgare mill) under controlled conditions, a factorial experiment based on completely randomized design was conducted with three replications in agricultural college, ferdowsi university of mashhad in 2004. treatments were two fennel ecotypes (khorasan and kerman), two planting dates (oct 8th and 29th ) an...