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Journal articles on the topic 'Inradio'

Author: Grafiati

Published: 4 June 2021

Last updated: 19 February 2022

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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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11

Lam, Paul K. S. "Intraspecific life-history variation inRadix plicatulus(Gastropoda: Pulmonata: Lymnaeidae)." Journal of Zoology 232, no. 3 (1994): 435–46. http://dx.doi.org/10.1111/j.1469-7998.1994.tb01584.x.

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12

Li, Chen-Rui, Li Zhang, Siu-Kwan Wo, Li-Min Zhou, Ge Lin, and Zhong Zuo. "Pharmacokinetic interactions among major bioactive components inRadix Scutellariaevia metabolic competition." Biopharmaceutics & Drug Disposition 33, no. 9 (2012): 487–500. http://dx.doi.org/10.1002/bdd.1815.

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13

Xie, Xiao-Ling, Xin-Jun Xu, Rui-Ming Li, et al. "Isolation and simultaneous determination of two benzofurans inRadix Eupatorii Chinensis." Natural Product Research 24, no. 19 (2010): 1854–60. http://dx.doi.org/10.1080/14786419.2010.482935.

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14

Scott, P. R., and P. W. Awyong. "Inradius and circumradius for planar convex bodies containing no lattice points." Bulletin of the Australian Mathematical Society 59, no. 1 (1999): 163–68. http://dx.doi.org/10.1017/s000497270003272x.

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15

Solynin, Alexander Yu, and Alexander S. Williams. "Area and the inradius of lemniscates." Journal of Mathematical Analysis and Applications 354, no. 2 (2009): 507–17. http://dx.doi.org/10.1016/j.jmaa.2009.01.012.

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16

Abi-Khuzam, Faruk F., and Roy Barbara. "A Sharp Inequality And The Inradius Conjecture." Mathematical Inequalities & Applications, no. 2 (2001): 323–26. http://dx.doi.org/10.7153/mia-04-30.

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17

Haun, Timm, Moritz Salinger, Adrian Pachzelt, and Markus Pfenninger. "On the Processes Shaping Small-Scale Population Structure inRadix balthica(Linnaeus 1758)." Malacologia 55, no. 2 (2012): 219–33. http://dx.doi.org/10.4002/040.055.0204.

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18

Zhang, Guo-qing, Song-gang Ji, Yi-feng Chai, Yu-tian Wu, and Xue-ping Yin. "Determination of glycyrrhizin inRadix glycyrrhizae and its preparations by capillary zone electrophoresis." Biomedical Chromatography 13, no. 6 (1999): 407–9. http://dx.doi.org/10.1002/(sici)1099-0801(199910)13:6<407::aid-bmc901>3.0.co;2-o.

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19

Yamaguchi-Iwai, Yuko, Eiichiro Sonoda, Jean-Marie Buerstedde, et al. "Homologous Recombination, but Not DNA Repair, Is Reduced in Vertebrate Cells Deficient in RAD52." Molecular and Cellular Biology 18, no. 11 (1998): 6430–35. http://dx.doi.org/10.1128/mcb.18.11.6430.

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ABSTRACT Rad52 plays a pivotal role in double-strand break (DSB) repair and genetic recombination in Saccharomyces cerevisiae, where mutation of this gene leads to extreme X-ray sensitivity and defective recombination. Yeast Rad51 and Rad52 interact, as do their human homologues, which stimulates Rad51-mediated DNA strand exchange in vitro, suggesting that Rad51 and Rad52 act cooperatively. To define the role of Rad52 in vertebrates, we generatedRAD52 −/− mutants of the chicken B-cell line DT40. Surprisingly, RAD52 −/− cells were not hypersensitive to DNA damages induced by γ-irradiation, methyl methanesulfonate, or cis-platinum(II)diammine dichloride (cisplatin). Intrachromosomal recombination, measured by immunoglobulin gene conversion, and radiation-induced Rad51 nuclear focus formation, which is a putative intermediate step during recombinational repair, occurred as frequently inRAD52 −/− cells as in wild-type cells. Targeted integration frequencies, however, were consistently reduced inRAD52 −/− cells, showing a clear role for Rad52 in genetic recombination. These findings reveal striking differences between S. cerevisiae and vertebrates in the functions of RAD51 and RAD52.

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20

WU, YU-DONG, ZHI-HUA ZHANG, and ZHI-GANG WANG. "On Edwards–Child’s inequality." Creative Mathematics and Informatics 20, no. 1 (2011): 96–105. http://dx.doi.org/10.37193/cmi.2011.01.11.

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In this paper, by making use of one of Chen’s theorems and the method of mathematical analysis with the computer software Maple (Version 9.0), we refine Edwards–Child’s inequality and solve the conjecture ... involving the semi-perimeter p, the circumradius R and the inradius r of the triangle, which was posed by Liu.

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21

Sangwine-Yager, Jane. "A Bonnesen-style inradius inequality in 3-space." Pacific Journal of Mathematics 134, no. 1 (1988): 173–78. http://dx.doi.org/10.2140/pjm.1988.134.173.

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22

Omland, Tron. "How many Pythagorean triples with a given inradius?" Journal of Number Theory 170 (January 2017): 1–2. http://dx.doi.org/10.1016/j.jnt.2016.06.009.

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23

Ghomi, Mohammad. "The length, width, and inradius of space curves." Geometriae Dedicata 196, no. 1 (2017): 123–43. http://dx.doi.org/10.1007/s10711-017-0312-3.

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24

Sporn, Howard. "A group of Pythagorean triples using the inradius." Mathematical Gazette 105, no. 563 (2021): 209–15. http://dx.doi.org/10.1017/mag.2021.48.

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Pythagorean triples are triples of integers (a, b, c) satisfying the equation a2 + b2 = c2. For the purpose of this paper, we will take a, b and c to be positive, unless otherwise stated. Then, of course, it follows that a triple represents the lengths of sides of a right triangle. Also, for the purpose of this paper, we will consider the triples (a, b, c) and (b, a, c) to be distinct, even though they represent the same right triangle. A primitive Pythagorean triple is one for which a, b and c are relatively prime.

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25

Xie, Zhiyong, Yanhong Shi, Zhengtao Wang, Rui Wang, and Yiming Li. "Biotransformation of Glucosinolates Epiprogoitrin and Progoitrin to (R)- and (S)-Goitrin inRadix isatidis." Journal of Agricultural and Food Chemistry 59, no. 23 (2011): 12467–72. http://dx.doi.org/10.1021/jf203321u.

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26

YANG, YUNLONG, and DEYAN ZHANG. "TWO OPTIMISATION PROBLEMS FOR CONVEX BODIES." Bulletin of the Australian Mathematical Society 93, no. 1 (2015): 137–45. http://dx.doi.org/10.1017/s0004972715000799.

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In this paper, we will show that the spherical symmetric slices are the convex bodies that maximise the volume, the surface area and the integral of mean curvature when the minimum width and the circumradius are prescribed and the symmetric $2$-cap-bodies are the ones which minimise the volume, the surface area and the integral of mean curvature given the diameter and the inradius.

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27

贾, 铭. "Rapid Determination of Active Components Inradix Isatidis Based on Near Infrared Spectroscopy and Chemometrics." Optoelectronics 11, no. 02 (2021): 63–68. http://dx.doi.org/10.12677/oe.2021.112008.

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28

Jacquemet, Matthieu. "The Inradius of a Hyperbolic Truncated $$n$$ n -Simplex." Discrete & Computational Geometry 51, no. 4 (2014): 997–1016. http://dx.doi.org/10.1007/s00454-014-9600-y.

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29

Lord, Nick. "99.19 When do the inradius and exradii form progressions?" Mathematical Gazette 99, no. 545 (2015): 337–39. http://dx.doi.org/10.1017/mag.2015.46.

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30

Wu, Yunhui. "Growth of the Weil–Petersson inradius of moduli space." Annales de l'Institut Fourier 69, no. 3 (2019): 1309–46. http://dx.doi.org/10.5802/aif.3272.

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31

Freitas, F., C. Donadel, M. Co, and E. Silva. "Optimal Coordination of Overcurrent Relays inRadial Electrical Distribution Networks." IEEE Latin America Transactions 17, no. 03 (2019): 520–27. http://dx.doi.org/10.1109/tla.2019.8863323.

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32

Betsakos, Dimitrios. "Harmonic measure on simply connected domains of fixed inradius." Arkiv för Matematik 36, no. 2 (1998): 275–306. http://dx.doi.org/10.1007/bf02384770.

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33

Awyong, Poh Wah, and Paul R. Scott. "Circumradius-diameter and width-inradius relations for lattice constrained convex sets." Bulletin of the Australian Mathematical Society 59, no. 1 (1999): 147–52. http://dx.doi.org/10.1017/s0004972700032706.

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Let K be a planar, compact, convex set with circumradius R, diameter d, width w and inradius r, and containing no points of the integer lattice. We generalise inequalities concerning the ‘dual’ quantities (2R − d) and (w − 2r) to rectangular lattices. We then use these results to obtain corresponding inequalities for a planar convex set with two interior lattice points. Finally, we conjecture corresponding results for sets containing one interior lattice point.

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34

Bezdek, Károly. "Isoperimetric Inequalities and the Dodecahedral Conjecture." International Journal of Mathematics 08, no. 06 (1997): 759–80. http://dx.doi.org/10.1142/s0129167x9700038x.

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The dodecahedrad conjecture, posed more than 50 years ago, says that the volume of any Voronoi polyhedron of a unit sphere packing in [Formula: see text] is at least as large as the volume of a regular dodecahedron of inradius 1. In this paper we show how the dodecahedral conjecture can be obtained from the distance conjecture of 14 and 15 nonoverlapping unit spheres and from the isoperimetric conjecture of Voronoi faces of unit sphere packings.

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35

Zhao, Chunjie, Guiming Hao, Huanxin Li, Xu Luo, and Yingjie Chen. "Decontamination of organochlorine pesticides inRadix Codonopsis by supercritical fluid extractions and determination by gas chromatography." Biomedical Chromatography 20, no. 9 (2006): 857–63. http://dx.doi.org/10.1002/bmc.605.

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36

O'Loughlin, Michael. "94.10 Half angles and the inradius of a Pythagorean triangle." Mathematical Gazette 94, no. 529 (2010): 144–46. http://dx.doi.org/10.1017/s0025557200007300.

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37

Kang, Leslie E., and Lorraine S. Symington. "Aberrant Double-Strand Break Repair inrad51 Mutants of Saccharomyces cerevisiae." Molecular and Cellular Biology 20, no. 24 (2000): 9162–72. http://dx.doi.org/10.1128/mcb.20.24.9162-9172.2000.

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ABSTRACT A number of studies of Saccharomyces cerevisiae have revealed RAD51-independent recombination events. These include spontaneous and double-strand break-induced recombination between repeated sequences, and capture of a chromosome arm by break-induced replication. Although recombination between inverted repeats is considered to be a conservative intramolecular event, the lack of requirement for RAD51 suggests that repair can also occur by a nonconservative mechanism. We propose a model forRAD51-independent recombination by one-ended strand invasion coupled to DNA synthesis, followed by single-strand annealing. The Rad1/Rad10 endonuclease is required to trim intermediates formed during single-strand annealing and thus was expected to be required forRAD51-independent events by this model. Double-strand break repair between plasmid-borne inverted repeats was less efficient inrad1 rad51 double mutants than in rad1 andrad51 strains. In addition, repair events were delayed and frequently associated with plasmid loss. Furthermore, the repair products recovered from the rad1 rad51 strain were primarily in the crossover configuration, inconsistent with conservative models for mitotic double-strand break repair.

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38

Bañuelos, Rodrigo, Tom Carroll, and Elizabeth Housworth. "Inradius and integral means for Green’s functions and conformal mappings." Proceedings of the American Mathematical Society 126, no. 2 (1998): 577–85. http://dx.doi.org/10.1090/s0002-9939-98-04217-8.

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39

Bailey, Herb, and William Gosnell. "Heronian Triangles with Sides in Arithmetic Progression: An Inradius Perspective." Mathematics Magazine 85, no. 4 (2012): 290–94. http://dx.doi.org/10.4169/math.mag.85.4.290.

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40

Drach, Kostiantyn. "Inradius Estimates for Convex Domains in 2-Dimensional Alexandrov Spaces." Analysis and Geometry in Metric Spaces 6, no. 1 (2018): 165–73. http://dx.doi.org/10.1515/agms-2018-0009.

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Abstract We obtain sharp lower bounds on the radii of inscribed balls for strictly convex isoperimetric domains lying in a 2-dimensional Alexandrov metric space of curvature bounded below. We also characterize the case when such bounds are attained.

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41

M�ndez-Hern�ndez, Pedro J. "Brascamp-Lieb-Luttinger inequalities for convex domains of finite inradius." Duke Mathematical Journal 113, no. 1 (2002): 93–131. http://dx.doi.org/10.1215/s0012-7094-02-11313-1.

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42

Gómez, E. Saorín. "The role of the kernel in Bonnesen-style inradius inequalities." Monatshefte für Mathematik 171, no. 1 (2012): 65–75. http://dx.doi.org/10.1007/s00605-012-0431-8.

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43

Henrion, René, and Alberto Seeger. "Inradius and Circumradius of Various Convex Cones Arising in Applications." Set-Valued and Variational Analysis 18, no. 3-4 (2010): 483–511. http://dx.doi.org/10.1007/s11228-010-0150-z.

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44

van den Berg, M., E. Bolthausen, and F. den Hollander. "Heat Content and Inradius for Regions with a Brownian Boundary." Potential Analysis 41, no. 2 (2013): 501–15. http://dx.doi.org/10.1007/s11118-013-9380-7.

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45

AKYAR, EMRAH, HANDAN AKYAR, and SERKAN ALİ DÜZCE. "A NEW METHOD FOR RANKING TRIANGULAR FUZZY NUMBERS." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 20, no. 05 (2012): 729–40. http://dx.doi.org/10.1142/s021848851250033x.

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The ranking and comparing of fuzzy numbers have important practical uses, such as in risk analysis problems, decision-making, optimization, forecasting, socioeconomic systems, control and certain other fuzzy application systems. Several methods for ranking fuzzy numbers have been widely-discussed though most of them have shortcomings. In this paper, we present a new method for ranking triangular fuzzy numbers based on their incenter and inradius. The proposed method is much simpler and more efficient than other methods in the literature. Some comparative examples are also given to illustrate the advantages of the proposed method.

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46

Poliquin, Guillaume. "Principal frequency of the p-Laplacian and the inradius of Euclidean domains." Journal of Topology and Analysis 07, no. 03 (2015): 505–11. http://dx.doi.org/10.1142/s1793525315500211.

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We study the lower bounds for the principal frequency of the p-Laplacian on N-dimensional Euclidean domains. For p > N, we obtain a lower bound for the first eigenvalue of the p-Laplacian in terms of its inradius, without any assumptions on the topology of the domain. Moreover, we show that a similar lower bound can be obtained if p > N - 1 assuming the boundary is connected. This result can be viewed as a generalization of the classical bounds for the first eigenvalue of the Laplace operator on simply connected planar domains.

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47

PAWAR, D. B., K. V. DESHMUKH, and P. U. KAUTHEKAR. "Resource productivity and resource use efficiency inRabi jowar production." AGRICULTURE UPDATE 12, no. 2 (2017): 206–9. http://dx.doi.org/10.15740/has/au/12.2/206-209.

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48

Lester, J. A. "A characterization of motions as bijections preserving inradius or circumradius one." Monatshefte f�r Mathematik 101, no. 2 (1986): 151–58. http://dx.doi.org/10.1007/bf01298927.

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49

Gao, Wenhua, Chen yaowen, Yegao Yin, Xingguo Chen, and Zhide Hu. "Separation and determination of two sesquiterpene lactones inRadix inulae and Liuwei Anxian San by microemulsion electrokinetic chromatography." Biomedical Chromatography 18, no. 10 (2004): 826–32. http://dx.doi.org/10.1002/bmc.396.

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50

Chen, An Jia, Ji You Zhang, Cun Hong Li, Xiao Feng Chen, Zhi De Hu, and Xing Guo Chen. "Separation and determination of active components inRadix Salviae miltiorrhizae and its medicinal preparations by nonaqueous capillary electrophoresis." Journal of Separation Science 27, no. 7-8 (2004): 569–75. http://dx.doi.org/10.1002/jssc.200301710.

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