Results 41 to 50 of about 254,738 (273)
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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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 ...
Alfredo Hubard +3 more
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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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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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, 2012 In this paper we present a new kind of semigroups called convex body semigroups which are generated by convex bodies of R^k. They generalize to arbitrary dimension the concept of proportionally modular numerical semigroup of [7].
A. Sánchez-R.-Navarro +10 more
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Shadows of Convex Bodies [PDF]
Transactions of the American Mathematical Society, 1991 It is proved that if C C is a convex body in
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Clinical Validation of Plasma p‐217tau in Neurological Diseases
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Plasma p‐217tau is a minimally invasive but specific biomarker for diagnosing Alzheimer's disease (AD). However, its disease specificity remains to be clinically evaluated. We validated the reliability of the p‐217tau biomarker in 12 other neurological diseases.
Takeshi Kawarabayashi +13 more
wiley +1 more source
Covariogram of non-convex sets
, 2010 The covariogram of a compact set A contained in R^n is the function that to each x in R^n associates the volume of A intersected with (A+x). Recently it has been proved that the covariogram determines any planar convex body, in the class of all convex ...
Adler +6 more
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