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In recent years, numerous scholars have investigated the relationship between symmetry and generalized convexity. Due to this close relationship, generalized convexity and symmetry have become new areas of study in the field of inequalities.
Muhammad Bilal Khan +4 more
doaj +1 more source
Adaptable Tile‐Based Pneumatic Origami through Structurally Coupled Localized Actuation
This article presents tile‐based pneumatic origami structures with rigid tiles and flexible fabric creases, achieving adaptable properties including morphing shape, selective multistability, and tunable stiffness. Independently pressurized folding bladders at each crease enable structurally coupled localized actuation of origami structures.
Tiantian Li, Jonathan Luntz, Diann Brei
wiley +1 more source
Comments on the floating body and the hyperplane conjecture [PDF]
We provide a reformulation of the hyperplane conjecture (the slicing problem) in terms of the floating body and give upper and lower bounds on the logarithmic Hausdorff distance between an arbitrary convex body $K\subset \mathbb{R}^{d}$\ and the convex ...
Fresen, Daniel
core
There is a significant need for biomaterials with well‐defined stability and bioactivity to support tissue regeneration. In this study, we developed a tunable microgel platform that enables the decoupling of stiffness from porosity, thereby promoting bone regeneration.
Silvia Pravato +9 more
wiley +1 more source
Ectopic localization of neural crest cells: etiological factor of scoliosis
Objective. To identify cell phenotypes in vertebral body growth plates from patients with idiopathic scoliosis. Material and Methods. Cells were isolated from vertebral body growth plates both on convex and concave sides of the de- formity in 50 ...
Alla M. Zaidman +6 more
doaj +1 more source
Polytopes and $C^1$-convex bodies [PDF]
The face numbers of simplicial polytopes that approximate $C^1$-convex bodies in the Hausdorff metric is studied. Several structural results about the skeleta of such polytopes are studied and used to derive a lower bound theorem for this class of ...
Karim Adiprasito, José Alejandro Samper
doaj +1 more source
Distribution functions of sections and projections of convex bodies
Typically, when we are given the section (or projection) function of a convex body, it means that in each direction we know the size of the central section (or projection) perpendicular to this direction.
Kim, Jaegil +2 more
core +1 more source
A multivalent antiviral platform based on honeycomb‐shaped DNA nanostructures (HC–Urumin) is developed to enhance the potency and breadth of the host defense peptide Urumin. Through spatially patterned trimeric presentation, HC–Urumin disrupts influenza A virus entry, improves cell viability, and reduces disease severity in vivo‐offering a modular and ...
Saurabh Umrao +11 more
wiley +1 more source
Existence and Approximation of Densities of Chord Length- and Cross Section Area Distributions
In various stereological problems a n-dimensional convex body is intersected with an (n−1)-dimensional Isotropic Uniformly Random (IUR) hyperplane. In this paper the cumulative distribution function associated with the (n−1)-dimensional volume of such a ...
Thomas van der Jagt +2 more
doaj +1 more source
Diameters of Convex Bodies [PDF]
In [2], we have shown that the extended diameter family of a convex body C in n-space has the property of outward simplicity if and only if there is no pair of parallel line segments in the boundary of C respectively in an opposite pair of parallel contact planes of C.
openaire +2 more sources

