Relevant bibliographies by topics / Inradio

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  1. Journal articles

Academic literature on the topic 'Inradio'

Author: Grafiati
Published: 4 June 2021
Last updated: 19 February 2022

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Journal articles on the topic "Inradio"

1

Chenavier, Nicolas, and Ross Hemsley. "Extremes for the inradius in the Poisson line tessellation." Advances in Applied Probability 48, no. 2 (2016): 544–73. http://dx.doi.org/10.1017/apr.2016.14.

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Abstract A Poisson line tessellation is observed in the window Wρ := B(0, π-1/2ρ1/2) for ρ > 0. With each cell of the tessellation, we associate the inradius, which is the radius of the largest ball contained in the cell. Using the Poisson approximation, we compute the limit distributions of the largest and smallest order statistics for the inradii of all cells whose nuclei are contained in Wρ as ρ goes to ∞. We additionally prove that the limit shape of the cells minimising the inradius is a triangle.
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2

Soland, Christoph. "Secondary Inradii: 11046." American Mathematical Monthly 113, no. 10 (2006): 940. http://dx.doi.org/10.2307/27642102.

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3

Betke, U., M. Henk, and L. Tsintsifa. "Inradii of Simplices." Discrete & Computational Geometry 17, no. 4 (1997): 365–75. http://dx.doi.org/10.1007/pl00009298.

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4

Su, Huaming. "Inequalities involving the inradii of simplexes." Journal of Geometry 55, no. 1-2 (1996): 168–73. http://dx.doi.org/10.1007/bf01223042.

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5

Henrot, Antoine, and Othmane Mounjid. "Elasticae and inradius." Archiv der Mathematik 108, no. 2 (2016): 181–96. http://dx.doi.org/10.1007/s00013-016-0999-7.

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6

Yamaguchi, Takao, and Zhilang Zhang. "Inradius collapsed manifolds." Geometry & Topology 23, no. 6 (2019): 2793–860. http://dx.doi.org/10.2140/gt.2019.23.2793.

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7

Henrion, René, and Alberto Seeger. "Condition number and eccentricity of a closed convex cone." MATHEMATICA SCANDINAVICA 109, no. 2 (2011): 285. http://dx.doi.org/10.7146/math.scand.a-15190.

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We discuss some extremality issues concerning the circumradius, the inradius, and the condition number of a closed convex cone in $\mathsf{R}^n$. The condition number refers to the ratio between the circumradius and the inradius. We also study the eccentricity of a closed convex cone, which is a coefficient that measures to which extent the circumcenter differs from the incenter.
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8

Awyong, Poh W., and Paul R. Scott. "New inequalities for planar convex sets with lattice point constraints." Bulletin of the Australian Mathematical Society 54, no. 3 (1996): 391–96. http://dx.doi.org/10.1017/s0004972700021808.

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We obtain new inequalities relating the inradius of a planar convex set with interior containing no point of the integral lattice, with the area, perimeter and diameter of the set. By considering a special sublattice of the integral lattice, we also obtain an inequality concerning the inradius and area of a planar convex set with interior containing exactly one point of the integral lattice.
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9

Richeson, David. "Proof Without Words: The Maximum Sum of Inradii." College Mathematics Journal 46, no. 1 (2015): 23. http://dx.doi.org/10.4169/college.math.j.46.1.23.

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10

Yang, H., Hua Yin, Z. Wang, L. Fan, Q. Li, and X. Zhu. "Multi-composition analysis inRadix Aconiti Lateralisby single marker quantitation." Acta Chromatographica 26, no. 4 (2014): 727–37. http://dx.doi.org/10.1556/achrom.26.2014.4.13.

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