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RODRIGUES PARAMETERS ON DUAL HYPERBOLIC UNIT SPHERE <(H)OVER BAR>(2)(0)

Aktas, Busra; Durmaz, Olgun; Gundogan, Halit


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  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/29349</identifier>
  <creators>
    <creator>
      <creatorName>Aktas, Busra</creatorName>
      <givenName>Busra</givenName>
      <familyName>Aktas</familyName>
      <affiliation>Kirikkale Univ, Fac Sci &amp; Arts, Dept Math, TR-71450 Yahsihan, Kirikkale, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Durmaz, Olgun</creatorName>
      <givenName>Olgun</givenName>
      <familyName>Durmaz</familyName>
      <affiliation>Kirikkale Univ, Fac Sci &amp; Arts, Dept Math, TR-71450 Yahsihan, Kirikkale, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Gundogan, Halit</creatorName>
      <givenName>Halit</givenName>
      <familyName>Gundogan</familyName>
      <affiliation>Kirikkale Univ, Fac Sci &amp; Arts, Dept Math, TR-71450 Yahsihan, Kirikkale, Turkey</affiliation>
    </creator>
  </creators>
  <titles>
    <title>Rodrigues Parameters On Dual Hyperbolic Unit Sphere &lt;(H)Over Bar&gt;(2)(0)</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2018</publicationYear>
  <dates>
    <date dateType="Issued">2018-01-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Journal article</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://aperta.ulakbim.gov.tr/record/29349</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.1080/1726037X.2017.1413063</relatedIdentifier>
  </relatedIdentifiers>
  <rightsList>
    <rights rightsURI="http://www.opendefinition.org/licenses/cc-by">Creative Commons Attribution</rights>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
  </rightsList>
  <descriptions>
    <description descriptionType="Abstract">Rodrigues parameters depend on the tangent of the half rotation angle in Euclidean space but in Dual space, dual Rodrigues parameters contain both rotation angle and distance corresponding the shortest distance between the straight lines in R-3. In this paper, we give Cayley's formula for the dual hyperbolic spherical motion and explain 3x3 type L-Dual skew symmetric matrices by using properties of this formula. Then, we obtain Rodrigues parameters of dual Hyperbolic unit sphere and show that Rodrigues parameters contain the hyperbolic rotation angle which is being between timelike lines and distance which is the minimal Lorentzian distance between the timelike lines of R-1(3)</description>
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