scholarly journals Least Square based Curve Fitting in Internet Access Traffic Sharing in Two Operator Environment

2012 ◽  
Vol 43 (12) ◽  
pp. 26-32 ◽  
Author(s):  
Diwakar Shukla ◽  
Kapil Verma ◽  
Sharad Gangele
2020 ◽  
Vol 3 (1) ◽  
Author(s):  
Lihong Xue

Least squares curve fitting is widely used in various neighborhoods, such as industry, agriculture, and economy. The method of piecewise curve fitting is used to deal with some experimental studies with large amounts of data. It can not only be used for plane space points, but also for three-dimensional space points. Firstly, this article introduces the principles of curve fitting and least squares. Secondly, it clarifies the steps based on least square fitting and gives examples of improvements made based on the principle of least square fitting functions by some scientists. Finally, the piecewise curve fitting in the three-dimensional space is obtained using the least squares piecewise curve fitting. It lays a certain theoretical foundation for drawing the laws between data in three-dimensional space.


2005 ◽  
Vol 58 (3) ◽  
pp. 265-273 ◽  
Author(s):  
Marisela Peralta-Lailson ◽  
Arturo Ángel Trejo-González ◽  
Pastor Pedraza-Villagómez ◽  
José M. Berruecos-Villalobos ◽  
Carlos G. Vasquez

1998 ◽  
Vol 34 (5) ◽  
pp. 433 ◽  
Author(s):  
Wen-Jen Ho ◽  
Wen-Thong Chang

2006 ◽  
Vol 324-325 ◽  
pp. 275-278 ◽  
Author(s):  
I. Hilmy ◽  
M.M. Abdel Wahab ◽  
Ian A. Ashcroft ◽  
A.D. Crocombe

In this paper, the characterisation of damage in an epoxy adhesive has been investigated. Bulk adhesive samples were used in this study for two reasons; firstly the stress distribution in the bulk adhesive sample is simpler than that in a joint, secondly, the specimen’s dimensions meet fatigue test specimen standards. Low cycle fatigue (LCF) tests with a load ratio of 0.1 and a frequency of 5 Hz were performed on bulk adhesive dumbbell specimens. Damage curves, relating damage in the specimen to number of cycles to failure, were plotted using an isotropic damage equation in which damage is a function of stress, which decreases as damage progresses. The damage curves were then fitted using a LCF damage evolution law. This equation was derived from a dissipation potential function using Continuum Damage Mechanics (CDM) theory. Curve fitting was performed using a Robust Least Square technique rather than ordinary linear least square because the damage curve has extreme points (usually at the breaking point). Two damage parameters α and β were found from the curve fitting process. This process resulted in different values of α and β for different stress levels. The logarithmic α and β points were then plotted respect against stress level and linear regression was used to determine α and β as a function of stress. With this function, damage parameters for other stress level can be predicted.


1970 ◽  
Vol 39 (2) ◽  
pp. 100-112
Author(s):  
Md Mashud Karim ◽  
Md Ashim Ali ◽  
Kho. Sahriar Iqbal

This paper presents influence of curve fitting techniques on hydrostatic characteristics of marine vessels.  Three vessels having lengths of 32.16m, 70.0m and 25.6m are selected for this study. The hull geometries of these vessels are represented by three curve fitting techniques such as least square, cubic spline and B-spline methods. At first, hydrostatic characteristics of the vessels are calculated using data only available in offset table and then using more data generated by curve fitting techniques. Finally, results obtained by offset table data are compared to those by fitted data. It is seen that there are some influences of curve fitting technique on the hydrostatic characteristics of ship especially at lightly loaded condition. Keywords: Curve fitting technique, ship hull form, offset table, hydrostatic characteristics, ship stability, cross curve. doi:10.3329/jme.v39i2.1853 Journal of Mechanical Engineering, Vol. ME39, No. 2, Dec. 2008 100-112


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