Evaluation of 30kW Laser Power Measurement Uncertainty by Least Square Linear Fitting Method

Based on the superiority avoiding the matrix equation to be morbid for those fitting functions constructed by orthogonal base, the Legendre orthogonal polynomial is adopted to fit the experimental data of concrete uniaxial compression stress-strain curves under the frame of least-square. With the help of FORTRAN programming, 3 series of experimental data is fitted. And the fitting effect is very satisfactory when the item number of orthogonal base is not less than 5. What’s more, compared with those piecewise fitting functions, the Legendre orthogonal polynomial fitting function obtained can be introduced into the nonlinear harden-soften character of concrete constitute law more convenient because of its uniform function form and continuous derived feature. And the fitting idea by orthogonal base function will provide a widely road for studying the constitute law of concrete material.

Download Full-text

Kinetic, isotherm and thermodynamic studies with linear and non-linear fitting for cadmium(II) removal by black carbon of pine cone

Water Science & Technology ◽

10.2166/wst.2017.375 ◽

2017 ◽

Vol 76 (8) ◽

pp. 2242-2253 ◽

Cited By ~ 1

Author(s):

Z. Yavari ◽

M. Noroozifar

Keyword(s):

Aqueous Solutions ◽

Black Carbon ◽

Adsorption Process ◽

Order Kinetic ◽

Cadmium Removal ◽

Thermodynamic Studies ◽

Linear Fitting ◽

Pine Cone ◽

Fitting Method ◽

Non Linear

In this study, black carbon from pine cone (BCPC) and acidic-modified BCPC (MBCPC) powder as a popular agricultural waste in the southeast of Iran were used for cadmium removal from aqueous solutions. The effect of various factors, such as surface chemistry and dosage of adsorbent, contact time, size of particles, initial concentration of cadmium, temperature, and pH of aqueous solutions, was investigated. The results show cadmium removal with usage of the mentioned adsorbents increased after acidic modification. It was noteworthy in this work that the removal percentage of pollutant was above 90% for suggested biosorbents. The obtained experimental data for optimum conditions were selected to model the adsorption behavior of the materials with usage of six isotherm equations via non-linear fitting method and the residual root mean square error estimation for each model. The adsorption of cadmium preferably fitted Khan and Langmuir–Freundlich isotherms for BCPC and MBCPC adsorbents, respectively. The kinetic studies via linear fitting method proved the second-order kinetic was the applicable model for the adsorption process. Thermodynamic studies show the adsorption process of cadmium onto BCPC and MBCPC was spontaneous and endothermic.

Download Full-text

COMPARING TWO DIFFERENT MODES OF MECHANICAL VENTILATION BY THE LEAST SQUARE FITTING METHOD: NAVA VERSUS PSV

Intensive Care Medicine Experimental ◽

10.1186/2197-425x-3-s1-a319 ◽

2015 ◽

Vol 3 (Suppl 1) ◽

pp. A319

Author(s):

S Spadaro ◽

S Grasso ◽

V Cricca ◽

F Dalla Corte ◽

R Di Mussi ◽

...

Keyword(s):

Mechanical Ventilation ◽

Least Square ◽

Least Square Fitting ◽

Fitting Method ◽

Least Square Fitting Method

Download Full-text

The Parameter Estimation of Double Exponential Pulse Based on a Least Infinity Norm Fitting Method

Journal of Physics Conference Series ◽

10.1088/1742-6596/2083/4/042002 ◽

2021 ◽

Vol 2083 (4) ◽

pp. 042002

Author(s):

Yuewu Shi ◽

Wei Wang ◽

Zhizhen Zhu ◽

Xin Nie

Keyword(s):

Estimation Error ◽

Estimation Method ◽

Maximum Amplitude ◽

Least Square Method ◽

Least Square ◽

Physical Parameters ◽

Infinity Norm ◽

Fitting Method ◽

Double Exponential ◽

Exponential Pulse

Abstract This paper presents an estimation method of double exponential pulse (DEP) between the physical parameters rise time (t r), full width at half maximum amplitude (t FWHM) and the mathematical parameters α, β. A newly fitting method based on the least infinity norm criterion is proposed to deal with the estimation problem of DEP. The calculation process and equation of parameters of this method is proposed based on an m-th-order polynomial fitting model. This estimation method is compared with the least square method by the same data and fitting function. The results show that the maximum estimation error of parameters of double exponential pulse obtained by the least infinity norm method is 1.5 %.

Download Full-text

Chromatic Confocal Displacement Measurment Based on Correlation Algorithm

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.446-447.909 ◽

2013 ◽

Vol 446-447 ◽

pp. 909-914

Author(s):

Chun Hui Niu ◽

Yong Lv

Keyword(s):

Measurement System ◽

Smoothing Spline ◽

Peak Wavelength ◽

Linear Fitting ◽

Correlation Curve ◽

Correlation Algorithm ◽

Spline Fitting ◽

Fitting Method ◽

Spectrum Curve ◽

Confocal Technique

Chromatic confocal technique application in displacement measurement is studied theoretically and experimentally. a set of refractive lenses are designed and a measurement system is established. Correlation fitting method is proposed to fit spectrum curve and find peak wavelength. Results with use of correlation fitting method are compared with Gaussian and smoothing spline fitting methods. It indicate that correlation fitting method have higher extracting accuracy of peak wavelength and smaller RMSE of linear fitting due to narrower and smoother correlation curve.

Download Full-text