in this paper, we introduce a new concept of volumes difference function of the projection and intersection bodies. following this, we establish the minkowski and brunn-minkowski inequalities for volumes difference function of the projection and intersection bodies.

Acknowledgements I would like to thank the editors and Charlotte Karam for their helpful comments on an earlier version of this manuscript. The section on ‘The Problem of the Nature and Inclusion of Higher Level Units’ has been adapted from Fischer, R., Ferreira, M. C., Assmar, E. M. L., Redford, P., & Harb, C. (2005). Organizational behaviour across cultures: Theoretical and methodological iss...

In this paper, a spectral-element discontinuous Galerkin (SEDG) lattice Boltzmann discretization and an exponential time-marching scheme are used to study the flow field past two circular cylinders in tandem arrangement. The basic idea is to discretize the streaming step of the lattice Boltzmann equation by using SEDG method to get a system of ordinary differential equations (ODEs) whose exact ...

Hilbert frames theory have been extended to frames in Hilbert $C^*$-modules. The paper introduces equivalent $*$-frames and presents ordinary duals of a constructed $*$-frame by an adjointable and invertible operator. Also, some necessary and sufficient conditions are studied such that $*$-frames and ordinary duals or operator duals of another $*$-frames are equivalent under these conditions. W...

We investigated methacholine (MCh)-induced bronchoconstriction in explanted airways from Fischer and Lewis rats. Lung explants, 0.5- to 1.0-mm thick, were prepared from agarose-inflated lungs of anesthetized 8- to 12-wk-old male rats. After overnight culture, videomicroscopy was used to record baseline images of the individual airways. Dose-response curves to MCh were then constructed by repeat...

The phenotype, DNA-binding activities of NF-kappaB, cytokine production, endocytosis and stimulatory capacity of spleen OX-62-positive dendritc cells (SDCs) from Fischer rats were compared with those from Lewis rats. Results showed that the expressions of CD11b, MHC-II, CD8, CD45RA, CD54 and CD86 on SDCs were significantly higher in Fischer than those in Lewis rats. The levels of IL-2, IL-4, IL...