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Taylor-Newton-Gauss method for nonlinear regression

A program to find the unknown parameters of a nonlinear or linear function from a series of observations {X,Y}.

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Fitting a circle to data using a linear model

This worksheet demonstrates how Maple can be used to fit a circle to a set of datapoints. If a set of datapoints are known to lie on a circle, the average quadratic distance of the points from a circle...

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Fitting a Strength Function by the Levenberg-Marquardt Method

Procedure mnlfit , based on the Levenberg-Marquardt method, is used to fit a function relating adhesive bond strength to three variables. The maximum strength and values of the variables to produce it...

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Finding Least-Squares Fit Curve and Plotting in 3D

Given data in [x, y, z] find and plot the best linear least-squares fit to it.

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An Algorithm For Fitting Nonlinear Piecewise Functions, with an Application...

This worksheet shows how to find parameters of a piecwise nonlinear function fitting a given data set. As an example, we fit a model for the growth of a bull to actual growth data. We show an...

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Aspherical Lens Surface Identification - Non-Linear Fitting with the Global...

In this Application Demonstration, we investigate Aspherical Lenses and apply non-linear fitting to obtain an accurate representation of the given data in the form of a function, using the...

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Polynomial Regression through Least Square Method

The goals of this document are to show the approximation of a Point Dispersion through Quadratic Regression Polynomials using the Least Square Method and Maple 10 tools.

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RanLip - black-box non-uniform random variate generator

RanLip is a toolbox for generation of nonuniform random variates from arbitrary Lipschitz-continuous distributions in Maple environment. It uses acceptance/ rejection approach, which is based on...

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The Population of Mexican United States. Part I

The principal goal of this document is to find mathematical models for the Mexican population growth since 1921 to 1995 using Maple 10 Statistics and DEtools Pakages and to predict the population for...

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LibLip - multivariate scattered data interpolation and smoothing

LibLip is a Maple toolbox, which provides many methods to interpolate scattered data (with or without preprocessing) by using only the data itself and one additional parameter - the Lipschitz constant...

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Comparison of Multivariate Optimization Methods

The worksheet demonstrates the use of Maple to compare methods of unconstrained nonlinear minimization of multivariable function. Seven methods of nonlinear minimization of the n-variables objective...

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DirectSearch optimization package, version 2

     The DirectSearch package is a collection of commands to numerically compute local and global minimums (maximums) of nonlinear multivariate function with (without) constraints. The package...

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Regression in Maple

I have always thought that regressions has been too complicated in Maple. The Fit command is too fiddly ie you have to specify too many things and it is easy to get it wrong plus the statistical output...

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Fitting 3D Data to a Bivariate Polynomial Surface

This application:generates 3D data as a proxy for experimental data (i.e. a table of X, Y, Z points with random noise added to Z),generates a bivariate polynomial (the order can be changed by the...

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Pulse Values from Long Term Measurement

Long term measurement of heart rate furnishes important information of cardiac anomalies. During a period of about 24 hours pulse rate of a patient at the University Hospital Aachen has been measured....

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Pulsdruckwerte aus Langzeitmessung

During a period of nearly 24 hours the blood pressure of a patient at a Hospital in Aachen has been measured. Thus, we have a lot of Systole-, Diastole-, Pulse Pressure-, and Pulse-Values important for...

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An Introduction to Regression Analysis in Maple

Linear regression is one of the fundamental approaches for determining relationships between dependent and exploratory variables. This worksheet covers several introductory examples for regression...

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Mathematics for Chemistry

This interactive electronic textbook in the form of Maple worksheets comprises two parts. Part I, mathematics for chemistry, is supposed to cover all mathematics that an instructor of chemistry might...

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Taylor-Newton-Gauss method for nonlinear regression

A program to find the unknown parameters of a nonlinear or linear function from a series of observations {X,Y}.

View Article

Image may be NSFW.
Clik here to view.

Fitting a circle to data using a linear model

This worksheet demonstrates how Maple can be used to fit a circle to a set of datapoints. If a set of datapoints are known to lie on a circle, the average quadratic distance of the points from a circle...

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