A summary of using the maximum entropy principle from information theory to reconstruct a PDF (or other distributions) given a finite number of moments. This is quite useful especially when using the method of moments in population balances or related stochastic transport processes. The document also includes some results from my code for reconstructing some bimodal and trimodal Gaussian distributions, beta, and log-normal distributions.
Please Make a Note is a collection of science & technology tips and derivations that will make it easier for research scientists & engineers to perform the various tasks they are faced with. These notes cover a wide range of scientific topics, software, media, and data analysis utilities.
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Thursday, June 23, 2011
Monday, April 11, 2011
Quadrature Methods for Numerical Integration
A review of Gaussian quadrature for numerical integration. Discusses Lagrange's interpolation and the theory of orthogonal polynomials.
Download PDF.
Download PDF.
Saturday, April 2, 2011
Endnote Auto-formatting parentheses
I do not use EndNote. And most likely never will. But here's an annoyance that you may have encountered while working on your word documents.
Sometimes, in your word document, if you write certain acronyms between parentheses, EndNote may think that this is a reference. To prevent this from happening, in EndNote, do the following:
Files->Preferences->Autoformat
and change the delimiters from parentheses to something else.
Sometimes, in your word document, if you write certain acronyms between parentheses, EndNote may think that this is a reference. To prevent this from happening, in EndNote, do the following:
Files->Preferences->Autoformat
and change the delimiters from parentheses to something else.