Best (least-squares) curve-fitting schemes of data suited to other than the usual functional forms
Abstract
The method employed to curve-fit the exponential and Bessel functions as described can be adapted readily to curve-fit any function that can be expanded in a power series or is itself a polynomial of any order. The reason why these two functions were singled out is that they are the ones most frequently encountered in nuclear reactor laboratory experimentation: the exponential function with half-life and radiation beam attenuation and the Bessel function in the radial neutron flux distribution in homogeneous circular cylindrical geometry. The method has proved itself to be exceedingly useful and is remarkably easy to implement and execute.
- Authors:
- Publication Date:
- OSTI Identifier:
- 5266388
- Report Number(s):
- CONF-871101-
Journal ID: ISSN 0003-018X; CODEN: TANSA; TRN: 90-002765
- Resource Type:
- Conference
- Journal Name:
- Transactions of the American Nuclear Society; (USA)
- Additional Journal Information:
- Journal Volume: 55:3; Conference: Joint meeting of the American Nuclear Society and the Atomic Industrial Forum, Los Angeles, CA (USA), 15-19 Nov 1987; Journal ID: ISSN 0003-018X
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 22 GENERAL STUDIES OF NUCLEAR REACTORS; 99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; REACTOR KINETICS; MATHEMATICAL MODELS; BESSEL FUNCTIONS; DIAGRAMS; NEUTRON FLUX; POLYNOMIALS; POWER SERIES; FUNCTIONS; KINETICS; RADIATION FLUX; SERIES EXPANSION; 220100* - Nuclear Reactor Technology- Theory & Calculation; 990200 - Mathematics & Computers
Citation Formats
Stevenson, B. Best (least-squares) curve-fitting schemes of data suited to other than the usual functional forms. United States: N. p., 1987.
Web.
Stevenson, B. Best (least-squares) curve-fitting schemes of data suited to other than the usual functional forms. United States.
Stevenson, B. 1987.
"Best (least-squares) curve-fitting schemes of data suited to other than the usual functional forms". United States.
@article{osti_5266388,
title = {Best (least-squares) curve-fitting schemes of data suited to other than the usual functional forms},
author = {Stevenson, B},
abstractNote = {The method employed to curve-fit the exponential and Bessel functions as described can be adapted readily to curve-fit any function that can be expanded in a power series or is itself a polynomial of any order. The reason why these two functions were singled out is that they are the ones most frequently encountered in nuclear reactor laboratory experimentation: the exponential function with half-life and radiation beam attenuation and the Bessel function in the radial neutron flux distribution in homogeneous circular cylindrical geometry. The method has proved itself to be exceedingly useful and is remarkably easy to implement and execute.},
doi = {},
url = {https://www.osti.gov/biblio/5266388},
journal = {Transactions of the American Nuclear Society; (USA)},
issn = {0003-018X},
number = ,
volume = 55:3,
place = {United States},
year = {Thu Jan 01 00:00:00 EST 1987},
month = {Thu Jan 01 00:00:00 EST 1987}
}
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