Results 11 to 20 of about 45,046 (289)
Tomography of Convex and Star Bodies
Advances in Mathematics, 1994 The authors generalize the notion of a star body and its radial function and define the \(i\)-chord function of a star set for every real \(i\). They apply these notions to solve many problems of geometric tomography which concern sections. For example, they obtain the following interesting results: Corollary 3.5.
Gardner, R.J., Volcic, A.
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General L p $L_{p}$ -mixed chord integrals of star bodies
Journal of Inequalities and Applications, 2016 The notion of general mixed chord integrals of star bodies was introduced by Feng and Wang. In this paper, we extend the concept of the general mixed chord integrals to general L p $L_{p}$ -mixed chord integrals of star bodies.
Zhaofeng Li, Weidong Wang
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A Class of Star-Shaped Bodies [PDF]
Canadian Mathematical Bulletin, 1959 The more important properties of the class κ of all bounded convex bodies in E3 with non-empty interior include: uniform approximability by polyhedra, existence of volume and surface area, and Blaschke's selection principle, [l ], [2 ]. In this note we define and consider a class ℋ of star-shaped bodies in E3, which enjoys many properties of κ, among ...
Z.A. Melzak
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KHINTCHINE'S THEOREM AND TRANSFERENCE PRINCIPLE FOR STAR BODIES [PDF]
International Journal of Number Theory, 2006 Analogues of Khintchine's Theorem in simultaneous Diophantine approximation in the plane are proved with the classical height replaced by fairly general planar distance functions or equivalently star bodies. Khintchine's transference principle is discussed for distance functions and a direct proof for the multiplicative version is given.
Dodson, M. M. +1 more
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Star Bodies with Completely Symmetric Sections [PDF]
International Mathematics Research Notices, 2017 Abstract We say that a star body $K$ is completely symmetric if it has centroid at the origin and its symmetry group $G$ forces any ellipsoid whose symmetry group contains $G$, to be a ball. In this short note, we prove that if all central sections of a star body $L$ are completely symmetric, then $L$ has to be a ball.
Myroshnychenko, Sergii +2 more
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A Brightness-Referenced Star Identification Algorithm for APS Star Trackers
Sensors, 2014 Star trackers are currently the most accurate spacecraft attitude sensors. As a result, they are widely used in remote sensing satellites. Since traditional charge-coupled device (CCD)-based star trackers have a limited sensitivity range and dynamic ...
Peng Zhang +3 more
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ON THE DETERMINATION OF STAR BODIES FROM THEIR HALF‐SECTIONS [PDF]
Mathematika, 2017 7 ...
B. Rubin, Rubin, B.
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The Astronomical Journal, 2018 Abstract We report the discovery of stars that show spectra very close to blackbody radiation. We found 17 such stars out of 798,593 stars in the Sloan Digital Sky Survey (SDSS) spectroscopic data archives. We discuss the value of these stars for the calibration of photometry, regardless of the the physical nature of these stars.
Suzuki, Nao, Fukugita, Masataka
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Some inequalities for star duality of the radial Blaschke-Minkowski homomorphisms
Open Mathematics, 2020 In 2006, Schuster introduced the radial Blaschke-Minkowski homomorphisms. In this article, associating with the star duality of star bodies and dual quermassintegrals, we establish Brunn-Minkowski inequalities and monotonic inequality for the radial ...
Zhao Xia, Wang Weidong, Lin Youjiang
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Dual Orlicz geominimal surface area
Journal of Inequalities and Applications, 2016 The L p $L_{p}$ -geominimal surface area was introduced by Lutwak in 1996, which extended the important concept of the geominimal surface area. Recently, Wang and Qi defined the p-dual geominimal surface area, which belongs to the dual Brunn-Minkowski ...
Tongyi Ma, Weidong Wang
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