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dc.contributor.advisorRajnak, Stanley L.
dc.contributor.advisorFenner, David B.
dc.contributor.authorEmery, David M.
dc.date.accessioned2011-09-08T19:04:04Z
dc.date.available2011-09-08T19:04:04Z
dc.date.issued1980
dc.identifier.urihttp://hdl.handle.net/10920/23389
dc.descriptionv, 25 p.en_US
dc.description.abstractThe 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.en_US
dc.format.mimetypeapplication/pdf
dc.language.isoen_USen_US
dc.relation.ispartofKalamazoo College Physics Senior Individualized Projects Collection
dc.relation.ispartofseriesSenior Individualized Projects. Physics.;
dc.rightsU.S. copyright laws protect this material. Commercial use or distribution of this material is not permitted without prior written permission of the copyright holder. All rights reserved.
dc.titleLeast Squares Fitting on an Integral Equationen_US
dc.typeThesisen_US
KCollege.Access.ContactIf you are not a current Kalamazoo College student, faculty, or staff member, email dspace@kzoo.edu to request access to this thesis.


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  • Mathematics Senior Individualized Projects [249]
    This collection includes Senior Individualized Projects (SIP's) completed in the Mathematics Department. Abstracts are generally available to the public, but PDF files are available only to current Kalamazoo College students, faculty, and staff.
  • Physics Senior Individualized Projects [317]
    This collection includes Senior Individualized Projects (SIP's) completed in the Physics Department. Abstracts are generally available to the public, but PDF files are available only to current Kalamazoo College students, faculty, and staff.

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