The non-linear fitting method to analyze the measured M–S plots of bipolar passive films

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.

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Experimental Analysis of the Wind Farm and Numerical Site Calibration

Volume 2: Fora, Parts A and B ◽

10.1115/fedsm2007-37545 ◽

2007 ◽

Author(s):

T. Kamio ◽

M. Iida ◽

C. Arakawa

Keyword(s):

Weibull Distribution ◽

Complex Terrain ◽

Wind Farm ◽

Wind Data ◽

Estimation Methods ◽

Linear Fitting ◽

Fitting Method ◽

Non Linear ◽

Wind Characteristics ◽

The Difference

This paper mentions the difference of estimation methods for the Weibull distribution using the wind data that were measured at more than 300 locations to clarify the wind characteristics in a complex terrain. As the result, the Weibull distribution function is approximated the experimental wind data by the non-linear fitting method rather than the linear fitting method. Then the numerical site calibration with MASCOT which is the non-linear numerical wind prediction model and WaSP are run out on a complex terrain in Japan.

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Non-linear fitting method of finding equilibrium temperature from BHT data

Geothermics ◽

10.1016/0375-6505(86)90077-5 ◽

1986 ◽

Vol 15 (5-6) ◽

pp. 657-664 ◽

Cited By ~ 9

Author(s):

Li Da-Xin

Keyword(s):

Equilibrium Temperature ◽

Linear Fitting ◽

Fitting Method ◽

Non Linear

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Non-linear fitting method for recorded chromatographic peaks

Journal of Chromatography A ◽

10.1016/s0021-9673(00)84073-x ◽

1974 ◽

Vol 95 (2) ◽

pp. 147-157 ◽

Cited By ~ 11

Author(s):

E. Cusó ◽

X. Guardino ◽

J.M. Riera ◽

M. Gassiot

Keyword(s):

Linear Fitting ◽

Fitting Method ◽

Non Linear ◽

Chromatographic Peaks

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Relationship between the kinetic parameters and morphology of electrochemically deposited lead

Journal of the Serbian Chemical Society ◽

10.2298/jsc151218028n ◽

2016 ◽

Vol 81 (5) ◽

pp. 553-566

Author(s):

Nebojsa Nikolic ◽

Predrag Zivkovic ◽

Sanja Stevanovic ◽

Goran Brankovic

Keyword(s):

Active Sites ◽

Supporting Electrolyte ◽

Sem Analysis ◽

Diffusion Control ◽

Electron Microscopic ◽

Linear Fitting ◽

Fitting Method ◽

Non Linear ◽

Electrochemically Deposited ◽

First Time

The processes of lead electrodeposition from electrolytes of various concentrations of sodium nitrate as the supporting electrolyte have been examined by chronoamperometry and by the scanning electron microscopic (SEM) analysis of deposits obtained in the potentiostatic regime of electrolysis. The good agreement between the diffusion coefficents determined by Cottrell equation and non-linear fitting method was observed. For the first time, the transition from the mixed ohmic-diffusion to the full diffusion control was defined from the analysis of Cottrell equation. The parameters, such as the number density of active sites and the nucleation rate constant, obtained by non-linear fitting method were discussed in accordance with the fact that lead belongs to the group of metals characterized by the high values of the exchange current density. The data obtained by the chronoamperometric analysis were succesfully correlated with morphologies of electrodeposited lead obtained in the different types of electrodeposition control.

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Non-linear fitting with joint spatial regularization in Arterial Spin Labeling

Medical Image Analysis ◽

10.1016/j.media.2021.102067 ◽

2021 ◽

pp. 102067

Author(s):

Oliver Maier ◽

Stefan M. Spann ◽

Daniela Pinter ◽

Thomas Gattringer ◽

Nicole Hinteregger ◽

...

Keyword(s):

Arterial Spin Labeling ◽

Spin Labeling ◽

Linear Fitting ◽

Non Linear ◽

Spatial Regularization

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A batch-wise non-linear fitting and analysis tool for treating large X-ray diffraction data sets

Journal of Applied Crystallography ◽

10.1107/s0021889805035351 ◽

2006 ◽

Vol 39 (2) ◽

pp. 262-266 ◽

Cited By ~ 7

Author(s):

R. J. Davies

Keyword(s):

Diffraction Data ◽

Operation Mode ◽

Large Data ◽

Scattering Data ◽

Data Sets ◽

Analysis Tool ◽

Data Set ◽

X Ray ◽

Linear Fitting ◽

Non Linear

Synchrotron sources offer high-brilliance X-ray beams which are ideal for spatially and time-resolved studies. Large amounts of wide- and small-angle X-ray scattering data can now be generated rapidly, for example, during routine scanning experiments. Consequently, the analysis of the large data sets produced has become a complex and pressing issue. Even relatively simple analyses become difficult when a single data set can contain many thousands of individual diffraction patterns. This article reports on a new software application for the automated analysis of scattering intensity profiles. It is capable of batch-processing thousands of individual data files without user intervention. Diffraction data can be fitted using a combination of background functions and non-linear peak functions. To compliment the batch-wise operation mode, the software includes several specialist algorithms to ensure that the results obtained are reliable. These include peak-tracking, artefact removal, function elimination and spread-estimate fitting. Furthermore, as well as non-linear fitting, the software can calculate integrated intensities and selected orientation parameters.

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