<?xml version="1.0" encoding="UTF-8"?>
<collection xmlns="http://www.loc.gov/MARC21/slim">
 <record>
  <leader>     caa a22        4500</leader>
  <controlfield tag="001">445869283</controlfield>
  <controlfield tag="003">CHVBK</controlfield>
  <controlfield tag="005">20180317145507.0</controlfield>
  <controlfield tag="007">cr unu---uuuuu</controlfield>
  <controlfield tag="008">170323e20110501xx      s     000 0 eng  </controlfield>
  <datafield tag="024" ind1="7" ind2="0">
   <subfield code="a">10.1007/s00605-010-0202-3</subfield>
   <subfield code="2">doi</subfield>
  </datafield>
  <datafield tag="035" ind1=" " ind2=" ">
   <subfield code="a">(NATIONALLICENCE)springer-10.1007/s00605-010-0202-3</subfield>
  </datafield>
  <datafield tag="245" ind1="0" ind2="4">
   <subfield code="a">The second volume moment of the typical cell and higher moments of edge lengths of the spatial Poisson-Voronoi tessellation</subfield>
   <subfield code="h">[Elektronische Daten]</subfield>
   <subfield code="c">[Lutz Muche, Felix Ballani]</subfield>
  </datafield>
  <datafield tag="520" ind1="3" ind2=" ">
   <subfield code="a">This paper presents analytical results for higher moments of characteristics of a Voronoi tessellation generated by a homogeneous Poisson point process in the three-dimensional Euclidean space. The second moment of the volume of the typical cell as well as higher moments for the edge length distribution and the linear contact distribution are given. These characteristics are calculated analytically and presented in a unified form.</subfield>
  </datafield>
  <datafield tag="540" ind1=" " ind2=" ">
   <subfield code="a">Springer-Verlag, 2010</subfield>
  </datafield>
  <datafield tag="690" ind1=" " ind2="7">
   <subfield code="a">Poisson-Voronoi tessellation</subfield>
   <subfield code="2">nationallicence</subfield>
  </datafield>
  <datafield tag="690" ind1=" " ind2="7">
   <subfield code="a">Moments</subfield>
   <subfield code="2">nationallicence</subfield>
  </datafield>
  <datafield tag="690" ind1=" " ind2="7">
   <subfield code="a">Zero cell</subfield>
   <subfield code="2">nationallicence</subfield>
  </datafield>
  <datafield tag="690" ind1=" " ind2="7">
   <subfield code="a">Typical cell</subfield>
   <subfield code="2">nationallicence</subfield>
  </datafield>
  <datafield tag="690" ind1=" " ind2="7">
   <subfield code="a">Edge length</subfield>
   <subfield code="2">nationallicence</subfield>
  </datafield>
  <datafield tag="690" ind1=" " ind2="7">
   <subfield code="a">Linear contact distribution</subfield>
   <subfield code="2">nationallicence</subfield>
  </datafield>
  <datafield tag="700" ind1="1" ind2=" ">
   <subfield code="a">Muche</subfield>
   <subfield code="D">Lutz</subfield>
   <subfield code="u">Fraunhofer Institute Integrated Circuits, EAS Dresden, Zeunerstr. 38, 01069, Dresden, Germany</subfield>
   <subfield code="4">aut</subfield>
  </datafield>
  <datafield tag="700" ind1="1" ind2=" ">
   <subfield code="a">Ballani</subfield>
   <subfield code="D">Felix</subfield>
   <subfield code="u">Institute for Stochastics, Technische Universität Bergakademie Freiberg, Prüferstr. 9, 09599, Freiberg, Germany</subfield>
   <subfield code="4">aut</subfield>
  </datafield>
  <datafield tag="773" ind1="0" ind2=" ">
   <subfield code="t">Monatshefte für Mathematik</subfield>
   <subfield code="d">Springer Vienna</subfield>
   <subfield code="g">163/1(2011-05-01), 71-80</subfield>
   <subfield code="x">0026-9255</subfield>
   <subfield code="q">163:1&lt;71</subfield>
   <subfield code="1">2011</subfield>
   <subfield code="2">163</subfield>
   <subfield code="o">605</subfield>
  </datafield>
  <datafield tag="856" ind1="4" ind2="0">
   <subfield code="u">https://doi.org/10.1007/s00605-010-0202-3</subfield>
   <subfield code="q">text/html</subfield>
   <subfield code="z">Onlinezugriff via DOI</subfield>
  </datafield>
  <datafield tag="908" ind1=" " ind2=" ">
   <subfield code="D">1</subfield>
   <subfield code="a">research-article</subfield>
   <subfield code="2">jats</subfield>
  </datafield>
  <datafield tag="950" ind1=" " ind2=" ">
   <subfield code="B">NATIONALLICENCE</subfield>
   <subfield code="P">856</subfield>
   <subfield code="E">40</subfield>
   <subfield code="u">https://doi.org/10.1007/s00605-010-0202-3</subfield>
   <subfield code="q">text/html</subfield>
   <subfield code="z">Onlinezugriff via DOI</subfield>
  </datafield>
  <datafield tag="950" ind1=" " ind2=" ">
   <subfield code="B">NATIONALLICENCE</subfield>
   <subfield code="P">700</subfield>
   <subfield code="E">1-</subfield>
   <subfield code="a">Muche</subfield>
   <subfield code="D">Lutz</subfield>
   <subfield code="u">Fraunhofer Institute Integrated Circuits, EAS Dresden, Zeunerstr. 38, 01069, Dresden, Germany</subfield>
   <subfield code="4">aut</subfield>
  </datafield>
  <datafield tag="950" ind1=" " ind2=" ">
   <subfield code="B">NATIONALLICENCE</subfield>
   <subfield code="P">700</subfield>
   <subfield code="E">1-</subfield>
   <subfield code="a">Ballani</subfield>
   <subfield code="D">Felix</subfield>
   <subfield code="u">Institute for Stochastics, Technische Universität Bergakademie Freiberg, Prüferstr. 9, 09599, Freiberg, Germany</subfield>
   <subfield code="4">aut</subfield>
  </datafield>
  <datafield tag="950" ind1=" " ind2=" ">
   <subfield code="B">NATIONALLICENCE</subfield>
   <subfield code="P">773</subfield>
   <subfield code="E">0-</subfield>
   <subfield code="t">Monatshefte für Mathematik</subfield>
   <subfield code="d">Springer Vienna</subfield>
   <subfield code="g">163/1(2011-05-01), 71-80</subfield>
   <subfield code="x">0026-9255</subfield>
   <subfield code="q">163:1&lt;71</subfield>
   <subfield code="1">2011</subfield>
   <subfield code="2">163</subfield>
   <subfield code="o">605</subfield>
  </datafield>
  <datafield tag="900" ind1=" " ind2="7">
   <subfield code="a">Metadata rights reserved</subfield>
   <subfield code="b">Springer special CC-BY-NC licence</subfield>
   <subfield code="2">nationallicence</subfield>
  </datafield>
  <datafield tag="898" ind1=" " ind2=" ">
   <subfield code="a">BK010053</subfield>
   <subfield code="b">XK010053</subfield>
   <subfield code="c">XK010000</subfield>
  </datafield>
  <datafield tag="949" ind1=" " ind2=" ">
   <subfield code="B">NATIONALLICENCE</subfield>
   <subfield code="F">NATIONALLICENCE</subfield>
   <subfield code="b">NL-springer</subfield>
  </datafield>
 </record>
</collection>
