We give an alternative proof of a recent result of Klartag on the existence of almost subgaussian linear functionals on convex bodies. If K is a convex body in Rn with volume one and center of mass at the origin, there exists x 6= 0 such that |{y ∈ K : |〈y, x〉| > t‖〈·, x〉‖1}| 6 exp(−ct 2/ log2(t+ 1)) for all t > 1, where c > 0 is an absolute constant. The proof is based on the study of the Lq–c...

In the present research, free convection heat transfer from isothermal concave and convex body shapes is studied numerically. The body shapes investigated here, are bi-sphere, cylinder, prolate and cylinder with hemispherical ends; besides, they have the same height over width (H/D = 2). A Numerical simulation is implemented to obtain heat transfer and fluid flow from all of the geometries in a...

In this paper we further develop the theory of f-divergences for log-concave functions and their related inequalities. We establish Pinsker inequalities new affine invariant entropy obtain on functional surface area lower upper bounds Kullback-Leibler divergence in terms area. The lead to L_p-affine areas convex bodies.

Embryonic stem (ES) cells hold great potential as a renewable cell source for regenerative medicine and cell-based therapy. Despite the potential of ES cells, conventional stem cell culture methods do not enable the control of the microenvironment. A number of microscale engineering approaches have been recently developed to control the extracellular microenvironment and to direct embryonic ste...

In this paper, the concepts of $L$-concave structures, concave $L$-interior operators and concave $L$-neighborhood systems are introduced. It is shown that the category of $L$-concave spaces and the category of concave $L$-interior spaces are isomorphic, and they are both isomorphic to the category of concave $L$-neighborhood systems whenever $L$ is a completely distributive lattice. Also, it i...

BACKGROUND Vertebral bodies in patients with adolescent idiopathic scoliosis (AIS) usually have frontal wedge deformities. However, the plasticity of the deformed vertebrae in skeletally immature patients is unknown. The purpose of our study was to clarify the plasticity of vertebral deformities in skeletally immature patients with AIS by using in vivo three-dimensional (3D) analysis. METHODS...

the effective factors of forward speed, cylinder rotation, and clearance between a combine’s cylinder and concave on wheat kernel breakage and seed germination were studied in karaj area using a 955 model john dear combine. this study was conducted on three levels of adjustment for each of the variables, 1.2, 1.8 and 2.5 km/hr for forward speed, 800, 900, 1000 rpm for cylinder rotation as well ...

A theorem of Kušnirenko and Bernštein shows that the number of isolated roots of a system of polynomials in a torus is bounded above by the mixed volume of the Newton polytopes of the given polynomials, and this upper bound is generically exact. We improve on this result by introducing refined combinatorial invariants of polynomials and a generalization of the mixed volume of convex bodies: the...

We study the complex orientation dynamics of a settling body with concave and convex surfaces using particle-resolving direct numerical simulations, find multiple bifurcations as Reynolds number is varied from O(1) to O(20). The irregularly shaped solid bodies in this range numbers relevant such phenomena tumbling ice particles atmospheric clouds, plant animal microorganisms ocean.

This paper proposes a new type of lightweight concrete called bubble concrete, which was developed by mixing with high-strength hollow bodies. In the present study, concave and spherical steel bodies were used not only to form multiple cavities in but also transfer internal stresses. Through compression tests, shape effects distribution on strength Young’s modulus investigated. addition, mechan...