JavaScript is disabled for your browser. Some features of this site may not work without it.
  • About K
  • Academics
  • Admission
  • Alumni Relations
  • Giving to K
  • News & Events
  • Student Life
  • HORNET HIVE
  • ATHLETICS
  • SITEMAP
  • WEBMAIL
    • Login
    View Item 
    •   CACHE Homepage
    • Academic Departments, Programs, and SIPs
    • Physics
    • Physics Senior Integrated Projects
    • View Item
    •   CACHE Homepage
    • Academic Departments, Programs, and SIPs
    • Physics
    • Physics Senior Integrated Projects
    • View Item

    Least Squares Fitting on an Integral Equation

    Thumbnail
    View/Open
    Searchable PDF / Kalamazoo College Only (1.129Mb)
    Date
    1980
    Author
    Emery, David M.
    Metadata
    Show full item record
    Abstract
    The object was to develop an algorithm for calculating the optimal parameter values (A,B,fD) of an equation Y=AX(fn)+B, such that the change in the error was less than a predetermined amount. Different methods of fitting were investigated and the method of least squares was found to be the best method for this particular problem. The X(fD) in the equation is an integral equation dependent on the parameter fD. Methods of numerically evaluating this integral had to be looked into in order to find one that would give a fairly accurate estimate of the value of the integral while not requiring an excessive amount of time to perform the evaluation. A search for the minimum error was done in two parts. The first was a "blind" step search, in which the parameter fD was changed. by a factor of 10, until the error began to rise. The second part was a parabolic extrapolation using the last three error values in calculating the new fD value. When the search was done the optimal parameter values, along with their uncertainties, were printed out.
    URI
    http://hdl.handle.net/10920/23389
    Collections
    • Mathematics Senior Integrated Projects [274]
    • Physics Senior Integrated Projects [335]

    Browse

    All of CACHECommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsThis CollectionBy Issue DateAuthorsTitlesSubjects

    My Account

    Login

    DSpace software copyright © 2002-2023  DuraSpace
    DSpace Express is a service operated by 
    Atmire NV
    Logo

    Kalamazoo College
    1200 Academy Street
    Kalamazoo Michigan 49006-3295
    USA
    Info 269-337-7000
    Admission 1-800-253-3602

    About K
    Academics
    Admission
    Alumni Relations
    Giving to K
    News & Events
    Student Life
    Sitemap
    Map & Directions
    Contacts
    Directories
    Nondiscrimination Policy
    Consumer Information
    Official disclaimer
    Search this site


    Academic Calendars
    Apply
    Bookstore
    Crisis Response
    Employment
    Library
    Registrar
    DSpace Express is a service operated by 
    Atmire NV