amongst imami scholors, sharif murtadā is one of the first jurists who created some books in genre of comparative jurisprudence. amongst his books in this genre, the most important after  intisar is masail al- nāşiriyyāt which is composed to explain and sometimes criticize the legal positions of his great grandfather (from his mother side), namely naşir uţrūşh. this essay concerns to study the ...

introduction one of the most important factors that encourages consumers to purchase goods or use services, and make them choose one of them among various goods and services, is the design of products and services or their packaging. due to this importance, intellectual property rights protect the design of goods and services or their packaging. however, this protection is not limited to one br...

submitted at the Oberwolfach Conference “Combinatorial Convexity and Algebraic Geometry” 26.10–01.11, 1997 Throughout, we fix the notation M := Z and MR := R . Given convex lattice polytopes P, P ′ ⊂ MR, we have (M ∩ P ) + (M ∩ P ) ⊂ M ∩ (P + P ), where P + P ′ is the Minkowski sum of P and P , while the left hand side means {m+m | m ∈ M ∩ P,m ∈ M ∩ P }. Problem 1 For convex lattice polytopes P...

In this paper we have shall generalize Shearer’s entropy inequality and its recent extensions by Madiman and Tetali, and shall apply projection inequalities to deduce extensions of some of the inequalities concerning sums of sets of integers proved recently by Gyarmati, Matolcsi and Ruzsa. We shall also discuss projection and entropy inequalities and their connections.

We present a tight bound on the exact maximum complexity of Minkowski sums of polytopes in R. In particular, we prove that the maximum number of facets of the Minkowski sum of k polytopes with m1,m2, . . . ,mk facets respectively is bounded from above by

legal capital refers to the disciplinary spirit governing the relations among citizens within the frameworks defined by societies’ statutory and customary law. based on the present view, any social development is meaningless within a society which lacks legal capital, i.e. legal capital is formed in societies where the rule of law is previously established. therefore, rule of law indicates a su...

in this study, the performance of electro-coagulation in combination with aluminum sacrificial anode, in removal of zinc and copper has been investigated. several parameters, such as pollutant concentration, ph, electrical potential, cod, turbidity and contact time were studied to achieve a higher removal capacity. variable concentrations (5-50-500 ppm) of zinc and copper solutions were prepare...