Results 61 to 70 of about 44,177 (192)
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 ...
Andrew Suk +4 more
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On the vertex index of convex bodies
Advances in Mathematics, 2007 We introduce the vertex index, vein(K), of a given centrally symmetric convex body K, which, in a sense, measures how well K can be inscribed into a convex polytope with small number of vertices. This index is closely connected to the illumination parameter of a body, introduced earlier by the first named author, and, thus, related to the famous ...
Alexander E. Litvak, Károly Bezdek
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The spherical convex floating body
Advances in Mathematics, 2016 For a convex body on the Euclidean unit sphere the spherical convex floating body is introduced. The asymptotic behavior of the volume difference of a spherical convex body and its spherical floating body is investigated. This gives rise to a new spherical area measure, the floating area.
Florian Besau, Elisabeth M. Werner
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Spreadsheets in Education, 2008 In the article, the formulas for orthographic parallel projection of 3D bodies on computer screen are derived using secondary school vector algebra. The spreadsheet implementation is demonstrated in six applications that project bodies with increasing ...
Jan Benacka
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Spreadsheets in Education, 2009 In the article, the formulas for orthographic parallel projection of 3D bodies on computer screen are derived using secondary school vector algebra. The spreadsheet implementation is demonstrated in six applications that project bodies with increasing ...
Jan Benacka
doaj
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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Chasing Convex Bodies Optimally [PDF]
, 2020 In the chasing convex bodies problem, an online player receives a request sequence of $N$ convex sets $K_1,\dots, K_N$ contained in a normed space $\mathbb R^d$. The player starts at $x_0\in \mathbb R^d$, and after observing each $K_n$ picks a new point $x_n\in K_n$. At each step the player pays a movement cost of $||x_n-x_{n-1}||$.
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Some Inequalities for the Lp-Curvature Image
Journal of Inequalities and Applications, 2009 Lutwak introduced the notion of Lp-curvature image and proved an inequality for the volumes of convex body and its Lp-curvature image. In this paper, we first give an monotonic property of Lp-curvature image.
Xiang Yu, Wei Daijun, Wang Weidong
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ZooKeys, 2011 A new ant species, Monomorium dryhimi, is described based on workers from a single colony collected in Al Bahah, Asir Province, Saudi Arabia. This is the fourth species of the Monomorium monomorium-group collected from Arabian Peninsula, and appears to ...
Abdulrahman Aldawood, Mostafa Sharaf
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Energy-Efficient Optimization in Multi-Sensor WBAN With Multi-Antenna AP
IEEE Access, 2019 This paper optimizes the energy efficiency performance by joint time and beamforming weights allocation in a wireless body area network (WBAN), which consists of a multi-antenna access point (AP), in particular, the AP intends to broadcast radio ...
Zhi Mao +4 more
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