Abstract We establish central limit theorems for natural volumes of random inscribed polytopes in projective Riemannian or Finsler geometries. In addition, normal approximation dual and the mean width polyhedral sets are obtained. deduce these results by proving a general theorem weighted volume convex hull points chosen from boundary smooth body according to positive continuous density Euclide...

A new approach, the projective system approach, is proposed to realize modified projective synchronization between two different chaotic systems. By simple analysis of trajectories in the phase space, a projective system of the original chaotic systems is obtained to replace the errors system to judge the occurrence of modified projective synchronization. Theoretical analysis and numerical simu...

Families of edge transitive algebraic graphs Fn(K), over the commutative ring K were used for the graph based cryptographic algorithms. We introduce a key exchange protocol defined in terms of bipartite graph An(K), n ≥ 2 with point set Pn and line set Ln isomorphic to n-dimensional free module K. Graphs A(n,K) are not vertex and edge transitive. There is a well defined projective limit limA(n,...

We characterize semiperfect modules, semiperfect rings, and perfect rings using locally projective covers and generalized locally projective covers, where locally projective modules were introduced by Zimmermann-Huisgen and generalized locally projective coves are adapted from Azumaya’s generalized projective covers.

Version of 8/13/05 By Jason Fulman University of Pittsburgh Department of Mathematics, 301 Thackeray Hall, Pittsburgh PA 15260 email: [email protected] Abstract: Stein’s method is used to prove limit theorems for random character ratios. Tools are developed for four types of structures: finite groups, Gelfand pairs, twisted Gelfand pairs, and association schemes. As one example an error term...

In this paper, embeddings φ : M → P from a linear space (M,M) in a projective space (P,L) are studied. We give examples for dimM > dimP and show under which conditions equality holds. More precisely, we introduce properties (G) (for a line L ∈ L and for a plane E ⊂ M it holds that |L ∩ φ(M)| 6 = 1) and (E) (φ(E) = φ(E) ∩ φ(M), whereby φ(E) denotes the by φ(E) generated subspace of P ). If (G) a...

27 Using projective and objective measures, effects of rock music on emotion were investigated. Sixty students were randomly assigned to three conditions: hard rock, soft rock, and no music. One group listened to hard rock music while taking a projective test with five ink blots and an objective test with an Emotional Assessment Scale (EAS). The same procedure was used for the second group whil...

Menu systems are a standard interface technique in 2D desktop systems. Using menu systems in virtual reality systems however, is often problematic. In this paper, we present five techniques for menu selection in a 3D desktop virtual reality system: a 3D ray-casting technique, two projective techniques, one technique based on 3D positioning, and one technique based on the standard 2D desktop mou...

Art therapy has been applied in a variety of settings and with a large number of different client groups. It has been used for aesthetic, educational and clinical reasons. One of the main applications in the past has been to measure intelligence. However, the test-retest reliability was found to be poor. For example, intelligence or projective tests in clinical psychology, like the 'Rorschach i...

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