IDEAS home Printed from https://ideas.repec.org/a/hin/jnlamp/6696895.html
   My bibliography  Save this article

The New Scramble for Faure Sequence Based on Irrational Numbers

Author

Listed:
  • Ali Mogharrabi O.
  • Behrooz Fathi V.
  • M. H. Behzadi
  • R. Farnoosh

Abstract

This article intends to review quasirandom sequences, especially the Faure sequence to introduce a new version of scrambled of this sequence based on irrational numbers, as follows to prove the success of this version of the random number sequence generator and use it in future calculations. We introduce this scramble of the Faure sequence and show the performance of this sequence in employed numerical codes to obtain successful test integrals. Here, we define a scrambling matrix so that its elements are irrational numbers. In addition, a new form of radical inverse function has been defined, which by combining it with our new matrix, we will have a sequence that not only has a better close uniform distribution than the previous sequences but also is a more accurate and efficient tool in estimating test integrals.

Suggested Citation

  • Ali Mogharrabi O. & Behrooz Fathi V. & M. H. Behzadi & R. Farnoosh, 2021. "The New Scramble for Faure Sequence Based on Irrational Numbers," Advances in Mathematical Physics, Hindawi, vol. 2021, pages 1-12, April.
    • Handle: RePEc:hin:jnlamp:6696895
    DOI: 10.1155/2021/6696895
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/AMP/2021/6696895.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/AMP/2021/6696895.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2021/6696895?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hin:jnlamp:6696895. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.