Results 61 to 70 of about 255,371 (329)

Convex Bodies with Similar Projections [PDF]

open access: yesProceedings of the American Mathematical Society, 1994
By examining an example constructed by Petty and McKinney, we show that there are pairs of centered and coaxial bodies of revolution in E d , d ≥ 3 {\mathbb {E}^d}, d \geq 3 , whose projections onto each two-dimensional subspace ...
Gardner, R. J., Volčič, A.
openaire   +1 more source

Universal Electronic‐Structure Relationship Governing Intrinsic Magnetic Properties in Permanent Magnets

open access: yesAdvanced Functional Materials, EarlyView.
Permanent magnets derive their extraordinary strength from deep, universal electronic‐structure principles that control magnetization, anisotropy, and intrinsic performance. This work uncovers those governing rules, examines modern modeling and AI‐driven discovery methods, identifies critical bottlenecks, and reveals electronic fingerprints shared ...
Prashant Singh
wiley   +1 more source

Novel Functional Materials via 3D Printing by Vat Photopolymerization

open access: yesAdvanced Functional Materials, EarlyView.
This Perspective systematically analyzes strategies for incorporating functionalities into 3D‐printed materials via Vat Photopolymerization (VP). It explores the spectrum of achievable functionalities in recently reported novel materials—such as conductive, energy‐storing, biodegradable, stimuli‐responsive, self‐healing, shape‐memory, biomaterials, and
Sergey S. Nechausov   +3 more
wiley   +1 more source

Hitting probabilities for random convex bodies and lattices of triangles

open access: yes, 2013
In the first part of this paper, we obtain symmetric formulae for the probabilities that a plane convex body hits exactly 1, 2, 3, 4, 5 or 6 triangles of a lattice of congruent triangles in the plane.
Bäsel, Uwe
core   +1 more source

Laser Engineering of HfN‐Based Nanoparticles for Safe NIR‐I Photothermal and X‐ray Enhancing Cancer Therapies

open access: yesAdvanced Functional Materials, EarlyView.
In this study, we produced HfN‐based nanoparticles via femtosecond laser ablation in acetone. The nanoparticles exhibit a red‐shifted plasmonic resonance in the NIR‐I window, colloidal stability after coating with polyethyleneglycol, and excellent biocompatibility. The photothermal and X‐ray sensitization therapeutic effects were demonstrated for tumor
Julia S. Babkova   +15 more
wiley   +1 more source

Long geodesics on convex surfaces

open access: yes, 2018
We review the theory of intrinsic geometry of convex surfaces in the Euclidean space and prove the following theorem: if the surface of a convex body K contains arbitrary long closed simple geodesics, then K is an isosceles tetrahedron.Comment: 8 pages ...
Akopyan, Arseniy, Petrunin, Anton
core   +1 more source

Bioprinting Organs—Science or Fiction?—A Review From Students to Students

open access: yesAdvanced Healthcare Materials, EarlyView.
Bioprinting artificial organs has the potential to revolutionize the medical field. This is a comprehensive review of the bioprinting workflow delving into the latest advancements in bioinks, materials and bioprinting techniques, exploring the critical stages of tissue maturation and functionality.
Nicoletta Murenu   +18 more
wiley   +1 more source

Geometrical Designs in Volumetric Bioprinting to Study Cellular Behaviors in Engineered Constructs

open access: yesAdvanced Healthcare Materials, EarlyView.
Curvature and spatial confinement guide cell behavior in volumetrically printed 3D constructs. Endothelial cells align and spread along specific geometries, while metastatic osteosarcoma cells proliferate independently of structural cues. Label‐free holographic microscopy captures real‐time, long‐term cell–material interactions, highlighting Gel‐PEG's ...
Julia Simińska‐Stanny   +3 more
wiley   +1 more source

Geometric properties of the family of p-parallel bodies

open access: yesAnalysis 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.   +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

open access: yesГорное 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.   +3 more
doaj   +1 more source

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