the wild pistachio (pistacia atlantica mutika) exists in 2.4 million hectares of iranian forest. in spite of high nutritional and medical value of this fruit, its use and processing are still performed manually. the objectives of this research are to design, to construct and to evaluate the performance of a pistachio hulling machine. the pistachio of kerman province was chosen as the case of st...

A cubical analogue of Stanley’s theorem expressing the cd-index of an Eulerian simplicial poset in terms of its h-vector is presented. This result implies that the cd-index conjecture for Gorenstein∗ cubical posets follows from Ron Adin’s conjecture on the non-negativity of his cubical h-vector for Cohen-Macaulay cubical posets. For cubical spheres the standard definition of shelling is shown t...

We discuss a simple model for tumor growth, which results in realistic tumor shapes. We then address the question of efficient irradiation of tumors in terms of packing their volume with disjoint spheres of given radii. We develop three algorithms, based on a shelling method, which give recommendations for optimal sphere packings. These packings are interpreted as treatment plans, and the corre...

We show that the stellar subdivisions of a simplex are extendably shellable. These polytopes appear as the facets of the dual of a hypersimplex. Using this fact, we calculate the simplicial and toric h-vector of the dual of a hypersimplex. Finally, we calculate the contribution of each shelling component to the toric h-vector.

We extend Crapo’s β invariant from matroids to greedoids, concentrating especially on antimatroids. Several familiar expansions for β(G) have greedoid analogs. We give combinatorial interpretations for β(G) for simplicial shelling antimatroids associated with chordal graphs. When G is this antimatroid and b(G) is the number of blocks of the chordal graph G, we prove β(G) = 1− b(G).

We recently introduced a notion of tilings the geometric realization finite simplicial complex and related those to discrete Morse theory R. Forman, especially when they have property be shellable, shared by classical shellable complexes. now observe that every such tiling supports quiver which is acyclic precisely then shelling induces two spectral sequences converge (co)homology complex. Thei...

Removing a degenerated myoma located around the uterine cornu by an innovative technique shelling the myoma a little away from the base by choice of a low placed incision, advantageous in terms of no requirement of blood transfusion because of the reduction in the surgical time is described in a 24 years old lady demanding a fertility conserving surgery.