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Dual Numbers Approach in Multiaxis Machines Error Modeling

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F14%3APU109205" target="_blank" >RIV/00216305:26210/14:PU109205 - isvavai.cz</a>

  • Result on the web

    <a href="http://www.hindawi.com/journals/jam/2014/261759/abs/" target="_blank" >http://www.hindawi.com/journals/jam/2014/261759/abs/</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1155/2014/261759" target="_blank" >10.1155/2014/261759</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Dual Numbers Approach in Multiaxis Machines Error Modeling

  • Original language description

    Multiaxis machines error modeling is set in the context of modern differential geometry and linear algebra. We apply special classes of matrices over dual numbers and propose a generalization of such concept by means of general Weil algebras. We show that the classification of the geometric errors follows directly from the algebraic properties of the matrices over dual numbers and thus the calculus over the dual numbers is the proper tool for the methodology of multiaxis machines error modeling.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

    <a href="/en/project/LO1202" target="_blank" >LO1202: NETME CENTRE PLUS</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2014

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Journal of Applied Mathematics

  • ISSN

    1110-757X

  • e-ISSN

    1687-0042

  • Volume of the periodical

    2014

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    6

  • Pages from-to

    1-6

  • UT code for WoS article

    000337382200001

  • EID of the result in the Scopus database

    2-s2.0-84903555050