Results 41 to 50 of about 3,482,591 (285)
Nested Convex Bodies are Chaseable [PDF]
Algorithmica, 2018 In the Convex Body Chasing problem, we are given an initial point $v_0$ in $R^d$ and an online sequence of $n$ convex bodies $F_1, ..., F_n$. When we receive $F_i$, we are required to move inside $F_i$. Our goal is to minimize the total distance travelled. This fundamental online problem was first studied by Friedman and Linial (DCG 1993).
Nikhil Bansal 0001 +4 more
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The Heat Transfer Problem in a Non-Convex Body—A New Procedure for Constructing Solutions
Axioms, 2023 The subject of this work is the coupled steady-state conduction-radiation-convection heat transfer phenomenon in a non-convex blackbody, which is represented by a second-order partial differential equation (representing the heat conduction inside the ...
Rogério Martins Saldanha da Gama
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Competitively Chasing Convex Bodies [PDF]
SIAM Journal on Computing, 2019 Let $\mathcal{F}$ be a family of sets in some metric space. In the $\mathcal{F}$-chasing problem, an online algorithm observes a request sequence of sets in $\mathcal{F}$ and responds (online) by giving a sequence of points in these sets. The movement cost is the distance between consecutive such points.
Sébastien Bubeck +3 more
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Caenorhinus lobanovi, a new species of the tribe Deporaini (Coleoptera: Rhynchitidae) from Laos [PDF]
Кавказский энтомологический бюллетень, 2021 A new species, Caenorhinus (Flavodeporaus) lobanovi sp. n. from Central Laos is described and illustrated. This new species differs from Caenorhinus (Flavodeporaus) guskovae Legalov, 2021 from Laos in the unicoloured body (in C.
A.A. Legalov
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Order Types of Convex Bodies [PDF]
Order, 2010 We give new bounds on the Erdos-Szekeres theorems for convex bodies of Bisztriczky and Fejes Toth and of Pach and Toth. We derive them from a combinatorial characterization of convex position of a family of planar convex bodies. This characterization confirms that the concept of Order Type for points can be extended to noncrossing families of convex ...
Hubard, Alfredo +3 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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MATHEMATICA SCANDINAVICA, 1990 There are several ways to generalize the classical concept of affine surface area of a sufficiently smooth convex body \(K\) in \(\mathbb{R}^ n\) due to Blaschke to arbitrary convex bodies [see \textit{K. Leichtweiss}, Manuscr. Math. 56, 429-464 (1986; Zbl 0588.52011), \textit{E. Lutwak}, Adv. Math. 85, No. 1, 39-68 (1991; Zbl 0727.53016) and \textit{C.
Werner, Elisabeth, Schütt, Carsten
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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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Coordinated Architectural and Chemical Reinforcement in the Crushing Mandible of a Soldier Termite
Advanced Functional Materials, EarlyView.The crushing mandible of a soldier termite withstands substantial biting loads despite lacking mineral. Its cuticle is partitioned: convex teeth pair hardness and zinc enrichment with aligned chitin fibers for contact durability, while stiffer concave regions between teeth carry bending loads.
Andrew Tran Nguyen +16 more
wiley +1 more source
Architecture‐Driven Functional Coupling in Vertically Aligned Nanocomposites
Advanced Functional Materials, EarlyView.Vertically aligned nanocomposites define a growth‐engineered architecture in which vertical interfaces, strain fields, defect pathways, and phase connectivity are created simultaneously. This review shows how these architectural features couple ferroic, optical, ionic, electrochemical, and device responses, establishing design rules and open challenges
Md Shatil Islam‐Shanto +4 more
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