Results 41 to 50 of about 46,580 (177)

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.
openaire   +2 more sources

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, Larman, DG, Mani-Levitska, P, Zong, C   +3 more
openaire   +3 more sources

Cellular Responses to Mechanical Cues Across Scales: From Fundamental Insights to Translational Potential

Advanced Healthcare Materials, EarlyView.
This review examines how cellular behavior is regulated by mechanical cues transmitted through soft biomaterials, from single‐cell mechanosensing to tissue‐level adaptation. It highlights why physiological relevance, rather than model complexity alone, is critical for translational mechanobiology and introduces a scoring framework linking material ...
Mathias Polz, Manuel P. Kainz, Niklas Haider, Theresa Rienmüller, Kerstin Lenk, Rupert Kargl, Michele Terzano, Gerhard Sommer, Gerhard A. Holzapfel, Julia Fuchs   +9 more
wiley   +1 more source

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, Kobra Azizi, Dirk M. Guldi, Tomás Torres   +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, Geurt Jongbloed, Martina Vittorietti   +2 more
doaj   +1 more source

Topology and Material Optimization in Ultra‐Soft Magneto‐Active Structures: Making Advantage of Residual Anisotropies

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, Rogelio Ortigosa, Jesús Martínez‐Frutos, Daniel Garcia‐Gonzalez   +3 more
wiley   +1 more source

Geometric properties of the family of p-parallel bodies

Analysis and Geometry in Metric Spaces
We 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., Martínez Fernández Antonio R., Saorín Gómez Eugenia   +2 more
doaj   +1 more source

Development of a mathematical model for the formation of a semi-convex helicoid shape of the knife of the executive body of the geokhod

Горное оборудование и электромеханика
The article discusses the process of developing a mathematical model for the formation of a semi-convex helicoid shape of the knife of the executive body of the geohod.
Efremenkov A.B., Nikitin E.I., Pashkov D.A., Nozirzoda Sh.S.   +3 more
doaj   +1 more source

Field‐Programmed Anisotropy in Magneto‐Piezoelectric Composites for Material‐Encoded Mechanoperception

Advanced Materials, EarlyView.
Field‐programmed anisotropy imparts material‐level intelligence to soft composites. Magnetic torque dynamics drive magneto‐piezoelectric nanowires from random dispersion into deterministic axial alignment. The resulting hierarchical percolation networks confine electromechanical coupling to specific axes and intrinsically decouple superposed force ...
Yubin Kim, Yumin Kwon, Dabin Kim, Minsun Oh, Jin Young Jung, Dongyeong Gim, Kootak Hong, Jun Yeon Hwang, Sang‐Woo Kim, Minjeong Ha   +9 more
wiley   +1 more source

Bioinspired Adaptive Surfaces for Intelligent Liquid Manipulation: Progressing From Passive and Active to Hybrid Strategies

Advanced Materials, EarlyView.
This review examines passive, active, and hybrid liquid manipulation strategies, highlighting hybrid approaches as an emerging route to reconcile energy efficiency with adaptive control. By actively reconstructing passive surfaces to store programmable interfacial energy, hybrid systems enable flexible yet low‐power liquid transport, with perspectives ...
Jiaqi Miao, Yiyuan Zhang, Liqiu Wang, Alan C. H. Tsang   +3 more
wiley   +1 more source