Results 41 to 50 of about 15,809 (305)
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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Blaschke-decomposable convex bodies
, 1998 For a given centred convex body K of R^n, let H(K) be the class of all convex bodies with the same projection body as K. The question whether K can be expressed as a Blaschke average of two non-homothetic bodies from H(K) is considered.
CAMPI S., GRONCHI P., COLESANTI A.
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A Skin‐Like Strain Sensor for Real‐Time Human Motion Detection
Advanced Functional Materials, EarlyView.A skin‐like strain sensor with exceptional flexibility and breathability enables real‐time human motion detection. It offers continuous ECG monitoring and gesture recognition, ensuring high durability and comfort. This innovative design is ideal for wearable applications, combining reliable performance with seamless integration into dynamic ...
Shiqi Song +5 more
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Floating and Illumination Bodies for Polytopes: Duality results
Discrete Analysis, 2019 Floating and illumination bodies for polytopes: duality results, Discrete Analysis 2019:11, 22 pp. A well-known concept in convex geometry is that of the _floating body_ of a convex body, which is defined as follows.
Elisabeth Werner, Olaf Mordhorst
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Generalized Convex Bodies of Revolution
, 1967 The figures studied in this paper are special convex bodies in Euclidean three-dimensional space which we shall call generalized convex bodies of revolution (GCBR). Such a set is obtained by the following procedure.
WM. J. Firey
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Reduced Graphene Oxide Transparent Electrodes Enabling Compact Soft Tunable Lenses
Advanced Functional Materials, EarlyView.By spray‐coating an elastomeric membrane with reduced graphene oxide (rGO) at various surface densities, elastomeric actuators are manufactured. Electro‐mechano‐optical characterizations show the suitability of rGO as an effective material for compliant, semi‐transparent electrodes, enabling soft electrically tunable lenses with a compact form factor ...
Giacomo Sasso +4 more
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Mathematics, 2022 A new type of non-classical 2D contact problem formulated over non-convex admissible sets is proposed. Specifically, we suppose that a composite body in its undeformed state touches a wedge-shaped rigid obstacle at a single contact point.
Nyurgun P. Lazarev, Victor A. Kovtunenko
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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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The Characteristic Properties of the Minimal Lp-Mean Width
Journal of Function Spaces, 2017 Giannopoulos proved that a smooth convex body K has minimal mean width position if and only if the measure hK(u)σ(du), supported on Sn-1, is isotropic. Further, Yuan and Leng extended the minimal mean width to the minimal Lp-mean width and characterized ...
Tongyi Ma
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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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