Results 51 to 60 of about 993,357 (293)
Packing Convex Bodies by Cylinders [PDF]
Discrete & Computational Geometry, 2016 In [BL] in relation to the unsolved Bang's plank problem (1951) we obtained a lower bound for the sum of relevant measures of cylinders covering a given d-dimensional convex body. In this paper we provide the packing counterpart of these estimates. We also extend bounds to the case of r-fold covering and packing and show a packing analog of Falconer's ...
Károly Bezdek, Alexander E. Litvak
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Advanced Functional Materials, EarlyView.The mantis shrimp telson reveals how ridged biological shields control deformation under impact. Inspired by this architecture, telson‐inspired ridged curved shells transform ridge geometry and macroscopic curvature into bidirectional snap‐through, tunable stiffness, and enhanced hysteretic energy dissipation for multifunctional architected materials ...
Phani Saketh Dasika +5 more
wiley +1 more source
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 +3 more
wiley +1 more source
Partitioning Functional of a Class of Convex Bodies
AxiomsFor each n-dimensional real Banach space X, each positive integer m, and each bounded set A⊆X with diameter greater than 0, let βX(A,m) be the infimum of δ∈(0,1] such that A⊆X can be represented as the union of m subsets of A, whose diameters are not ...
Xinling Zhang
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Support and separation properties of convex sets in finite dimension
Extracta Mathematicae, 2021 This is a survey on support and separation properties of convex sets in the n-dimensional Euclidean space. It contains a detailed account of existing results, given either chronologically or in related groups, and exhibits them in a uniform way ...
Valeriu Soltan
doaj
SoftwareX, 2018 Implementing a reliable algorithm for computing the distance between convex bodies is an involved and time-consuming task. Common applications of these algorithms include robot path planning, image rendering and collision detection.
Mattia Montanari, Nik Petrinic
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On Mixed Quermassintegral for Log-Concave Functions
Journal of Function Spaces, 2020 In this paper, the functional Quermassintegral of log-concave functions in ℝn is discussed. We obtain the integral expression of the ith functional mixed Quermassintegral, which is similar to the integral expression of the ith mixed Quermassintegral of ...
Fangwei Chen +3 more
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Soft Skins With Reversible Thickness Morphing: Materials, Mechanisms, and Applications
Advanced Materials, EarlyView.Evolution of electronic skin (e‐skin) technologies toward adaptive, multifunctional soft skins. Phase I highlights early rigid and discrete sensory interfaces. Phase II shows the transition toward flexible, stretchable, and large‐area e‐skin. Phase III captures the emergence of computational e‐skin.
Oliver Ozioko +2 more
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Energies, 2022 The surface morphology of fractures formed by hydraulic fracturing is usually rough. The roughness of the fracture surface is the main reason the actual fracture conductivity deviates from the ideal flat plate model result.
Qiqi Wang, Mian Chen, Jiaxin Lv
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Closed‐Loop Solid‐State Synthesis Planning for Materials Discovery With Large Language Models
Advanced Materials, EarlyView.Leveraging literature data, we build a large‐language‐model‐driven workflow that extracts synthesis steps from 4407 papers, retrieves similar precedents, and generates candidate solid‐state synthesis recipes. The system benchmarks against ground‐truth and then operates in a closed loop with experiments to synthesize oxy‐selenide electrolyte materials ...
Dong Won Jeon +9 more
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