Inequalities for the p-cross-section bodies

Volume difference inequalities for the projection and intersection bodies

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.

The Elusive p-air Cross Section

For the p̄p and pp systems, we have used all of the extensive data of the Particle Data Group[K. Hagiwara et al. (Particle Data Group), Phys. Rev. D 66, 010001 (2002).]. We then subject these data to a screening process, the “Sieve” algorithm[M. M. Block, physics/0506010.], in order to eliminate “outliers” that can skew a χ2 fit. With the “Sieve” algorithm, a robust fit using a Lorentzian distri...

volume difference inequalities for the projection and intersection bodies

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.

The Cross-section Body, Plane Sections of Convex Bodies and Approximation of Convex Bodies, Ii*

We compare the volumes of projections of convex bodies and the volumes of the projections of their sections, and, dually, those of sections of convex bodies and of sections of their circumscribed cylinders. For L ⊂ R a convex body, we take n random segments in L and consider their ‘Minkowski average’ D. For fixed n, the pth moments of V (D) (1 ≤ p < ∞) are minimized, for V (L) fixed, by the ell...

New inequalities for star bodies