Results 61 to 70 of about 74,849 (301)
Polytopes and $C^1$-convex bodies [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 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
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Translative packing of a convex body by sequences of its homothetic copies [PDF]
, 2008 summary:Every sequence of positive or negative homothetic copies of a planar convex body $C$ whose total area does not exceed $0.175$ times the area of $C$ can be translatively packed in $C$
Januszewski, Janusz
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Hydrogel Microtube Drug Carrier for Catheter‐Based Intravascular Therapy
Advanced Healthcare Materials, EarlyView.This paper proposes hydrogel microtube carriers composed of barium alginate gel, enabling long‐term vascular retention without interrupting blood flow. Intravascular treatments have long been attracting attention for therapeutic efficacy, yet practical delivery methods remained unestablished.
Shota Sato +8 more
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On the Irreducibility of Convex Bodies [PDF]
Canadian Journal of Mathematics, 1959 We select a Cartesian co-ordinate system in ndimensional Euclidean space Rn with origin 0 and employ the usual pointvector notation.By a lattice Λ in Rn we mean the set of all rational integral combinations of n linearly independent points X1, X2, … , Xn of Rn. The points X1 X2, … , Xn are said to form a basis of Λ.
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Sectional bodies associated with a convex body
, 2000 International audienceWe define the sectional bodies associated to a convex body in R-n and two related measures of symmetry. These definitions extend those of Grunbaum (1963).
Fradelizi, Matthieu
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Azaporphyrinoid‐Based Photo‐ and Electroactive Architectures for Advanced Functional Materials
Advanced Materials, EarlyView.A long‐standing collaboration between the Torres and Guldi groups has yielded diverse azaporphyrinoid‐based donor‐acceptor nanohybrids with promising applications in solar energy conversion. This conspectus highlights key molecular platforms and structure‐function relationships that govern light and charge management, supporting the rational design of ...
Jorge Labella +3 more
wiley +1 more source
Existence and Approximation of Densities of Chord Length- and Cross Section Area Distributions
Image Analysis and Stereology, 2023 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
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The Blocking Numbers of Convex Bodies [PDF]
Discrete & Computational Geometry, 2000 The blocking number \(b(K)\) of a convex body \(K\) in Euclidean \(n\)-space \(\mathbb{R}^n\) is defined as the smallest possible number of disjoint translates of \(K\) which touch from outside the boundary of \(K\) and which prevent any additional disjoint translate of \(K\) from touching \(K\) from outside.
Dalla, L +3 more
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Advanced Materials, EarlyView.Residual magnetization induces pronounced mechanical anisotropy in ultra‐soft magnetorheological elastomers, shaping deformation and actuation even without external magnetic fields. This study introduces a computational‐experimental framework integrating magneto‐mechanical coupling into topology optimization for designing soft magnetic actuators with ...
Carlos Perez‐Garcia +3 more
wiley +1 more source
Geometric properties of the family of p-parallel bodies
Analysis and Geometry in Metric SpacesWe study geometric properties of the family of p-parallel bodies of a convex body K with respect to a gauge body E. In particular, we investigate various regularity properties of their boundaries by means of their 0-extreme vectors, aiming for extensions
Hernández Cifre María A. +2 more
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