We study the orbits of G = GL(V ) in the enhanced nilpotent cone V ×N , where N is the variety of nilpotent endomorphisms of V . These orbits are parametrized by bipartitions of n = dimV , and we prove that the closure ordering corresponds to a natural partial order on bipartitions. Moreover, we prove that the local intersection cohomology of the orbit closures is given by certain bipartition a...

Polycyclic aromatic hydrocarbon chromophores that show an ideal bipartition between fluorescence and singlet oxygen production have been developed.

In the present paper we show that given a tree series S, which is accepted by (a) a deterministic bottom-up finite state weighted tree automaton (for short: bu-w-fta) or (b) a non-deterministic bu-w-fta over a locally finite semiring, there exists for every input tree t ∈ supp(S) a decomposition t = C′[C[s]] into contexts C, C′ and an input tree s as well as there exist semiring elements a, a′,...

Genuineness and distillability of entanglement play a key role in quantum information tasks, they are easily disturbed by the noise. We construct family multipartite states without genuine sudden death across every bipartition, respectively. They realized establishing noise as high-dimensional Pauli channels. Further, we locally unitary channel another such that Greenberger–Horne–Zeilinger stat...

Edwards showed that every graph of size m ≥ 1 has a bipartite subgraph of size at least m/2 + √ m/8 + 1/64− 1/8. We show that every graph of size m ≥ 1 has a bipartition in which the Edwards bound holds, and in addition each vertex class contains at most m/4 + √ m/32 + 1/256 − 1/16 edges. This is exact for complete graphs of odd order, which we show are the only extremal graphs without isolated...

The purpose of this study is to determine the woody species diversity in Sweet chestnut tree, Hazel-tree and Italian cypress ecosystems in the Guilan forests. A lozeng 0.5 ha sample plot was selectively established on each site. In the Sweet chestnut ecosystems , 4 sites were classified, whereas 10 sites of Hazel tree and Italian cypress ecosystems were classified based on species composition. ...

Topological drawings are natural representations of graphs in the plane, where vertices are represented by points, and edges by curves connecting the points. Topological drawings of complete graphs and of complete bipartite graphs have been studied extensively in the context of crossing number problems. We consider a natural class of simple topological drawings of complete bipartite graphs, in ...

orchard workers in north china are highly exposed to orchard pollens, especially peach and other rosaceae family pollens during pollination season. the aim of this study was to investigate whether occupational allergy to peach tree pollen as a member of rosaceae family is ige-mediated and to evaluate the cross-reactivity among rosaceae family pollens. allergen skin test and conjunctival challen...