the main aim of this article is to study (v,k,λ)-symmetric designs admitting a flag-transitive and point-primitive automorphism group g whose socle is psl(3,q). we indeed show that the only possible design satisfying these conditions is a desarguesian projective plane pg(2,q) and g > psl(3,q).

A point in the d-dimensional integer lattice Z d $\mathbb {Z}^d$ is primitive when its coordinates are relatively prime. Two points multiples of one another they opposite, and for this reason, we consider half within lattice, ones whose first non-zero coordinate positive. We solve packing problem that asks largest possible number such absolute values any given sum to at most a fixed k. present ...

Bohmian mechanics grounds the predictions of quantum in precise dynamical laws for a primitive ontology point particles. In an appraisal de-Broglie-Bohm theory, paper discusses crucial epistemological and conceptual role that plays within physical theory. It argues theories without fail to make contact with observable reality clear consistent manner. Finally, it Einstein's model why supports ap...

The main aim of this article is to study (v,k,λ)-symmetric designs admitting a flag-transitive and point-primitive automorphism group G whose socle is PSL(3,q). We indeed show that the only possible design satisfying these conditions is a Desarguesian projective plane PG(2,q) and G > PSL(3,q).

A famous but still unsolved problem in finite geometries is the question of whether a finite inversive plane J of odd order n is necessarily miquelian, that is, it arises from the plane sections of an elliptic quadric in PG(3,«). The question has been approached from different angles, and it has a positive answer if suitable conditions are added to J. The most classical result in this context i...

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