The solution to the Buffon-Sylvester problem inR3

  • R. V. Ambartzumian
Article

Keywords

Stochastic Process Probability Theory Mathematical Biology 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Sylvester, J.J.: On a funicular solution of Buffons “Problem of the needle” in its most general form. Acta Math.14, 185–205 (1891)Google Scholar
  2. 2.
    Blaschke, W.: Vorlesungen über Integralgeometrie. Leipzig: Teubner 1936, 1937Google Scholar
  3. 3.
    Ambartzumian, R.V.: Intersections of complex curves and random stright lines. Dokl. Akad. Nauk SSSR, IV, 3,187 (1969). (English translation: Soviet Math. Dokl. 4,10 (1969)Google Scholar
  4. 4.
    Ambartzumian, R. V.: The method of invariant embedding in the theory of random lines (in russian). Izv. Akad. Nauk Armjan. SSR Dokl. Ser. Mat.5, 3, 263 (1970)Google Scholar
  5. 5.
    Ambartzumian, R.V.: Probability distributions in the geometry of clusters. Studia Sci. Math. Hungar.6, 235–241 (1971)Google Scholar
  6. 6.
    Santaló, L. A.: Introduction to integral geometry. Paris: Hermann 1953Google Scholar
  7. 7.
    Euler, L.: Zwei Abhandlungen über SphÄrische Trigonometrie. Leipzig: Wilhelm Engelmann 1896Google Scholar
  8. 8.
    Ambartzumian, R.V.: Convex polygons and random tessellations. In: Stochastic Geometry. New York: Wiley 1973Google Scholar

Copyright information

© Springer-Verlag 1973

Authors and Affiliations

  • R. V. Ambartzumian
    • 1
  1. 1.Institute of MathematicsAcademy of Sciences of the Armenian Socialist Soviet RepublicErevanUSSR

Personalised recommendations