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By Richard J. Szabo.

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The order of magnitude and the large or small parameter limits often allow a conjecture to be quickly checked before any serious effort is undertaken. The rightful problem solving mentality is to let the problem reveal where the solution might be. Therefore, starting from the asymptotic analysis to get all the hints possible together with the MATLAB programming offers effective means for a scientific inquiry. Further Reading There are a few good books on Asymptology. Some of them could be more mathematically oriented.

Throughout this book, an uppercase name will be used to denote a function name. Students should know that MATLAB recognizes a function name in lower case only. The output of each command line is automatic unless a semicolon (;) ends the line. This is by far the smartest design in all available languages. ” endl;’. ”, 50,25)’. ”)’. In MATLAB, a line can be commented out by adding % at the front. There is no notation for commenting out a section, as in C++, which is performed by using the ‘/*’ and ‘*/’ pair.

The function is monotonically decreasing with d. 66, substantial error does result. In fact, the error is around 40% of Vabab , plus the inaccuracy from the other energy terms due to the error in the determined λ and d. Nevertheless, the simple approach serves the purpose for now. We import the analytical expressions to the following program to minimize the energy by varying λ and d. 529177Å). 2574 eV The value of Vabab is about 3 eV. Therefore the error incurred is expected to be more than 1 eV.

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Busstepp Lectures on String Theory by Richard J. Szabo.

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