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Mat. Zametki, 2001, Volume 69, Issue 3, Pages 466–476 (Mi mz518)  

This article is cited in 11 scientific papers (total in 11 papers)

Volume of the Intersection of Three Spheres

L. S. Chkhartishvili

Georgian Technical University

Abstract: The volume of the intersection of three spheres is represented as a continuous piecewise analytic combination of algebraic and inverse trigonometric functions of the radii and the distances between the centers of the spheres.

DOI: https://doi.org/10.4213/mzm518

Full text: PDF file (240 kB)
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English version:
Mathematical Notes, 2001, 69:3, 421–428

Bibliographic databases:

UDC: 514
Received: 15.11.1999

Citation: L. S. Chkhartishvili, “Volume of the Intersection of Three Spheres”, Mat. Zametki, 69:3 (2001), 466–476; Math. Notes, 69:3 (2001), 421–428

Citation in format AMSBIB
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\by L.~S.~Chkhartishvili
\paper Volume of the Intersection of Three Spheres
\jour Mat. Zametki
\yr 2001
\vol 69
\issue 3
\pages 466--476
\mathnet{http://mi.mathnet.ru/mz518}
\crossref{https://doi.org/10.4213/mzm518}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1846843}
\zmath{https://zbmath.org/?q=an:0991.51010}
\transl
\jour Math. Notes
\yr 2001
\vol 69
\issue 3
\pages 421--428
\crossref{https://doi.org/10.1023/A:1010295711303}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000169324200014}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Chkhartishvili, LS, “Quasi-classical estimates of the lattice constant and band gap of a crystal: Two-dimensional boron nitride”, Physics of the Solid State, 46:11 (2004), 2126  crossref  adsnasa  isi  scopus  scopus
    2. Chkhartishvili, L, “Quasi-classical approach: Electronic structure of cubic boron nitride crystals”, Journal of Solid State Chemistry, 177:2 (2004), 395  crossref  mathscinet  adsnasa  isi  scopus  scopus
    3. L. S. Chkhartishvili, “Iterative solution of the secular equation”, Math. Notes, 77:2 (2005), 273–279  mathnet  crossref  crossref  mathscinet  zmath  isi
    4. Chkhartishvili LS, “Analytical optimization of the lattice parameter using the binding energy calculated in the quasi-classical approximation”, Physics of the Solid State, 48:5 (2006), 846–853  crossref  adsnasa  isi  scopus  scopus
    5. Chkhartishvili L., “Boron Nitride Nanosystems of Regular Geometry”, 16th International Symposium on Boron, Borides and Related Materials (Isbb 2008), Journal of Physics Conference Series, 176, ed. Tanaka T., IOP Publishing Ltd, 2009, 012014  crossref  isi  scopus  scopus
    6. L. S. Chkhartishvili, “Solution of an Algebraic Equation Using an Irrational Iteration Function”, Math. Notes, 92:5 (2012), 714–719  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    7. Chkhartishvili L., Murusidze I., “Relative Stability of Bn Nanotubes”, Solid State Sci., 14:11-12, SI (2012), 1664–1668  crossref  adsnasa  isi  scopus  scopus
    8. Kim D.-S., Ryu J., Shin H., Cho Y., “Beta-Decomposition for the Volume and Area of the Union of Three-Dimensional Balls and their Offsets”, J. Comput. Chem., 33:13 (2012), 1252–1273  crossref  isi  elib  scopus  scopus
    9. Heidig T., Zeiser T., Freund H., “Influence of Resolution of Rasterized Geometries on Porosity and Specific Surface Area Exemplified For Model Geometries of Porous Media”, Transp. Porous Media, 120:1 (2017), 207–225  crossref  mathscinet  isi  scopus  scopus
    10. Ramkumar R., Karthikeyan C., Dash A.K., “A New Workspace Analysis Method For 6-Dof 3-Rrrs Parallel Manipulators”, Int. J. Robot. Autom., 34:2 (2019), 135–145  crossref  isi  scopus
    11. Chkhartishvili L. Murusidze I. Becker R., “Electronic Structure of Boron Flat Holeless Sheet”, Condens. Matter, 4:1 (2019), 28  crossref  isi
  • Математические заметки Mathematical Notes
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