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.

suppose $pi:mathcal{a}rightarrow mathcal{b}$ is a surjective unital $ast$-homomorphism between c*-algebras $mathcal{a}$ and $mathcal{b}$, and $0leq aleq1$ with $ain  mathcal{a}$. we give a sufficient condition that ensures there is a proection $pin mathcal{a}$ such that $pi left( pright) =pi left( aright) $. an easy consequence is a result of [l. g. brown and g. k. pedersen, c*-algebras of real...

for many years, researchers have studied high accuracy methods for recognizing the handwriting and achieved many significant improvements. however, an issue that has rarely been studied is the speed of these methods. considering the computer hardware limitations, it is necessary for these methods to run in high speed. one of the methods to increase the processing speed is to use the computer pa...

different methods arising from scientific investigation for removing noise from chaotic signals have been introduced and one of their best is local projection approach. the local projection approach projects the chaotic data in the neighborhood onto the hyper-plane. selection of neighborhood radius has a direct impact on its performance. a noticeable feature associated with chaotic trajectories...

introduction: monte carlo (mc) is the most common method for simulating virtual spect projections. it is useful for optimizing procedures, evaluating correction algorithms and more recently image reconstruction as a forward projector in iterative algorithms; however, the main drawback of mc is its long run time. we introduced a model based method considering the effect of body attenuation and i...

This article explores the use of unauthorised projection-based artworks and messages as a form activism, contextual street art. The issues authority permission that are central to political nature art unique in case projection ephemeral temporary light-based installations skirt some fundamental objections most graffiti such damage physical surfaces. Through changes imposed on urban forms by lig...

background: providing a cross-sectional image is essential for preimplant assessments. computed tomography (ct) and cone beam ct (cbct) images are very expensive and provide high radiation dose. tangential projection is a very simple, available, and low-dose technique that can be used in the anterior portion of mandible. the purpose of this study was to evaluate the accuracy of tangential proje...