7 posts on curve fitting. All posts · RSS feed
The molar constant-pressure heat capacity, of many diatomic molecules above room temperature shows an increase from roughly to around and then higher as temperature increases. For example the graph below plots as a function of for the molecules , , , .
This earlier blog post presented a way of performing a non-linear least squares fit on two-dimensional data using a sum of (2D) Gaussian functions. Fitting a two-dimensional polynomial to a surface is, in principle, a linear least-squares problem, since the fitting function is linear in …
Many phenomena can be described in terms of a measured variable varying exponentially with a quantity. For example, a processes such as radioactive decay and first-order reaction rates are described by an ordinary differential equation of the form where is time, is, e.g. the number …
Fitting a set of data points in the plane to an ellipse is a suprisingly common problem in image recognition and analysis. In principle, the problem is one that is open to a linear least squares solution, since the general equation of any conic section …
The scipy.optimize.curve_fit routine can be used to fit two-dimensional data, but the fitted data (the ydata argument) must be repacked as a one-dimensional array first. The independent variable (the xdata argument) must then be an array of shape (2,M) where M is the total number …
The Theis equation This post is also available as a Jupyter Notebook. The drawdown or change in hydraulic head, (a measure of the water pressure above some geodetic datum) a distance from a well at time from which water is being pumped at a constant …
The semi-empirical mass formula parameters used in the previous post were taken from the text book of J. W. Rohlf (1994) . Another, older set of parameters are presented in the compilation of A. H. Wapstra (1958) . Below we compare each with the experimental …
