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We present a family of tripartite entangled states that, in an asymptotical sense, can be reversibly converted into Einstein-Podolsky-Rosen (EPR) states, shared by parties B and C, and tripartite Greenberger-Horne-Zeilinger (GHZ) states. Thus we show that a bipartite and a genuine tripartite entanglement can be reversibly combined in a tripartite state. For such states the corresponding fractio...

Abstract Dietary diversity is the key to improved health and nutrition. Farm production has potential of enhancing dietary but this interrelationship varies ambiguous in many societies. To examine effect farm on household using nationally representative panel data Bangladesh we have used Integrated Household Survey (BIHS) collected by International Food Policy Research Institute (IFPRI) 2011/12...

‎In this paper‎, ‎we shall establish some extended Simpson-type inequalities‎ ‎for differentiable convex functions and differentiable concave functions‎ ‎which are connected with Hermite-Hadamard inequality‎. ‎Some error estimates‎ ‎for the midpoint‎, ‎trapezoidal and Simpson formula are also given‎.

Entropies such as the Shannon /Wiener and Gini /Simpson indices are not themselves diversities. Conversion of these to effective number of species is the key to a unified and intuitive interpretation of diversity. Effective numbers of species derived from standard diversity indices share a common set of intuitive mathematical properties and behave as one would expect of a diversity, while raw i...

The conservationist community is giving special attention to epigean insects due to their importance in the preservation of terrestrial habitats. This work analysed the diversity, richness, abundance and similarity at the soil surface of Coleoptera composition among five environments: native forest, native grassland, Pinus elliottii plantation, Eucalyptus saligna plantation and degraded area by...