A least squares spectrum fitting method for the measurement of Ge(Li) gamma-ray peak areas

1979 ◽  
Vol 48 (1-2) ◽  
pp. 91-104 ◽  
Author(s):  
G. R. Gilmore
Keyword(s):  
Least Squares ◽  
Gamma Ray ◽  
Fitting Method ◽  
Peak Areas ◽  
Spectrum Fitting

Fast Neutron Capture in Tl, Hg, Au, and Ta and Gamma Ray Strength Functions

1974 ◽  
Vol 52 (11) ◽  
pp. 989-998 ◽  
Author(s):  
E. D. Earle ◽  
M. A. Lone ◽  
G. A. Bartholomew ◽  
W. J. McDonald ◽  
K. H. Bray ◽  
...  
Keyword(s):  
Neutron Capture ◽  
Gamma Ray ◽  
Strength Function ◽  
Detector Response ◽  
Strong Decrease ◽  
Fitting Method ◽  
Spectral Distributions ◽  
Γ Ray ◽  
Strength Functions ◽  
Spectrum Fitting

Gamma ray spectra following the capture of 0.7, 1.7, and 2.6 MeV neutrons in Tl and Hg, of 0.7 and 2.6 MeV neutrons in Ta, and of 2.6 MeV neutrons in Au were measured with a NaI detector. The spectral distributions were obtained by unfolding the detector response function, and γ-ray strength functions were deduced for Tl, Au, and Ta by a spectrum fitting method. The strength functions in Tl and Au, when compared with the Lorentzian predictions, show a strong decrease below ~5 MeV and in Tl there is a resonance-like structure at ~5.5 MeV. No such structure is found in the strength function for Ta. This behavior is qualitatively interpreted in terms of recent particle–hole calculations.

scholarly journals Methods for Fitting the Limit State Function of the Residual Strength of Damaged Ships

2022 ◽  
Vol 10 (1) ◽  
pp. 102
Author(s):  
Zhiyao Zhu ◽  
Huilong Ren ◽  
Xiuhuan Wang ◽  
Nan Zhao ◽  
Chenfeng Li
Keyword(s):  
Least Squares ◽  
Residual Strength ◽  
Least Squares Method ◽  
Limit State ◽  
Nonlinear Least Squares ◽  
State Function ◽  
Limit State Function ◽  
Distribution Models ◽  
Sample Distribution ◽  
Fitting Method

The limit state function is important for the assessment of the longitudinal strength of damaged ships under combined bending moments in severe waves. As the limit state function cannot be obtained directly, the common approach is to calculate the results for the residual strength and approximate the limit state function by fitting, for which various methods have been proposed. In this study, four commonly used fitting methods are investigated: namely, the least-squares method, the moving least-squares method, the radial basis function neural network method, and the weighted piecewise fitting method. These fitting methods are adopted to fit the limit state functions of four typically sample distribution models as well as a damaged tanker and damaged bulk carrier. The residual strength of a damaged ship is obtained by an improved Smith method that accounts for the rotation of the neutral axis. Analysis of the results shows the accuracy of the linear least-squares method and nonlinear least-squares method, which are most commonly used by researchers, is relatively poor, while the weighted piecewise fitting method is the better choice for all investigated combined-bending conditions.

Terahertz absorbance spectrum fitting method for quantitative detection of concealed contraband

2007 ◽  
Vol 102 (11) ◽  
pp. 113108 ◽  
Author(s):  
Yingxin Wang ◽  
Ziran Zhao ◽  
Zhiqiang Chen ◽  
Kejun Kang ◽  
Bing Feng ◽  
...  
Keyword(s):  
Quantitative Detection ◽  
Absorbance Spectrum ◽  
Fitting Method ◽  
Spectrum Fitting

INVERSION OF AIRBORNE RADIOMETRIC DATA

Geophysics ◽  
1978 ◽  
Vol 43 (1) ◽  
pp. 133-143 ◽  
Author(s):  
P. J. Gunn
Keyword(s):  
Least Squares ◽  
Gamma Rays ◽  
Gamma Ray ◽  
Spectral Representation ◽  
Radioactive Elements ◽  
Intensity Field ◽  
Radiometric Data

The spectral representation describing the gamma ray intensity due to radioactive prismatic sources such as approximate areal distributions of outcropping rocks shows that such intensity fields result from the convolution of factors depending upon the height of the plane of observation, the geometry of the causative bodies, instrumental constants, and the concentrations of radioelements emitting gamma rays. Inverse filters, designed according to the Wiener least‐squares criteria, can deconvolve factors from the observed intensity field to provide direct mappings of the concentrations of radioactive elements.

Voltage Sag Source Localization Based on the Voltage Distance Function in Distribution Network

2013 ◽  
Vol 391 ◽  
pp. 607-610 ◽  
Author(s):  
Yu Liu ◽  
Jin Hao Wang ◽  
Chao Ying Yang
Keyword(s):  
Least Squares ◽  
Source Localization ◽  
Distance Function ◽  
Distribution Network ◽  
Voltage Sag ◽  
Sorting Algorithm ◽  
Line Voltage ◽  
Function Fitting ◽  
Fitting Method ◽  
Bus Voltage

To realize voltage sag source localization in distribution network, the paper proposes a function fitting method based on the least squares. Establish a voltage distance function in response to fault distance changes by the line voltage. According to the voltage distance function, combine with the bus voltage after fault to find out likely fault section and distance. Through the sorting algorithm to sort all possible results, weaken the effect of pseudo fault point on the judgment result. Finally the simulation verifies the effectiveness of the method.

Application of Legendre Polynomial in Predicting Total Energy Consumption

2015 ◽  
Vol 713-715 ◽  
pp. 1627-1630
Author(s):  
Hong Qin Zhang ◽  
Lai Bin Gao
Keyword(s):  
Energy Consumption ◽  
Total Energy ◽  
Least Squares ◽  
Legendre Polynomial ◽  
Statistical Data ◽  
Least Squares Method ◽  
Total Energy Consumption ◽  
Least Squares Fitting ◽  
Fitting Method

Based on statistical data of National Statistical Bureau of China, and given the least-squares fitting of Legendre polynomial, the data of total energy consumption from 1978 to 2012 is analyzed by least squares method and Legendre polynomial least squares method respectively. The results showed that Legendre polynomial least squares fitting method is excellent and the data of total energy consumption from 2013 to 2016 is predicted by this method.

Sign in / Sign up

Export Citation Format

Share Document