The potential for shelling and attacking nuclear power plants the first time became an extremely dangerous reality in 2022. What is purpose of this article, legal-theoretical analysis that would be state-sanctioned unequivocally threaten world peace global security, as well state society; it based on interpretation sources positive law. threats catastrophe, which may result from warfare terrori...

A case-free proof is given that the entries of the h-vector of the cluster complex ∆(Φ), associated by S. Fomin and A. Zelevinsky to a finite root system Φ, count elements of the lattice L of noncrossing partitions of corresponding type by rank. Similar interpretations for the h-vector of the positive part of ∆(Φ) are provided. The proof utilizes the appearance of the complex ∆(Φ) in the contex...

the Cardiff Infirmary on October 19th, 1886, suffering from cystic tumour of the thyroid. She first noticed the tumour about nine years ago, and since then it slowly and painlessly increased in size. Latterly it somewhat interfered with breathing, there being occasionally a choking feeling. On admission the tumour was about as large as an orange, and occupied the front of the neck, inclining to...

We provide a new characterization of convex geometries via a multi-variate version of an identity that was originally proved by Maneva, Mossel and Wainwright for particular combinatorial objects defined in the context of the k-SAT problem. We thus highlight the connection between various characterizations of convex geometries and a family of removal processes studied in the literature on random...

The Sasakawa Africa Association (SAA) has been addressing the neglected post-harvest sector in Ethiopia through promoting improved storage facilities and introducing handheld motorized crop shelling threshing machines. However, technologies are poorly adopted by farmers although traditional methods often result high grain losses low-quality produces due to low awareness of service providers on ...

In this article, we study two open problems posed by Edelman & Reiner about topology of certain simplicial complexes associated with abstract convex geometries. As a special case, we concentrate on generalized convex shellings, which were introduced by Kashiwabara, Nakamura & Okamoto for their representation theorem of abstract convex geometries. We answer one of the problems affirmatively for ...

In their work on ‘Coxeter-like complexes’, Babson and Reiner introduced a simplicial complex ∆T associated to each tree T on n nodes, generalizing chessboard complexes and type A Coxeter complexes. They conjectured that ∆T is (n− b−1)-connected when the tree has b leaves. We provide a shelling for the (n − b)skeleton of ∆T , thereby proving this conjecture. In the process, we introduce notions ...

Abstract How can agricultural mechanization be accomplished in a sustainable and equitable way? This question has gained increased prominence research over the past few years. In this study, we apply to mechanized maize shelling Tanzania as case point. Data from survey with 400 farmers semi-structured interviews 21 key informants are combined for gender analysis that relies on Kabeer's concept ...

A new index for convex polytopes is introduced. It is a vector whose length is the dimension of the linear span of the flag vectors of polytopes. The existence of this index is equivalent to the generalized Dehn-Sommerville equations. It can be computed via a shelling of the polytope. The ranks of the middle perversity intersection homology of the associated toric variety are computed from the ...