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The Runge-Kutta Method

The Runge-Kutta (RK) method is a method of numerically integrating ordinary differential equations (ODEs). An estimation is found by taking the midpoint of an interval to cancel out lower-order terms. The power of this method (or family of methods) is that there are different orders of these methods. An arbitrarily large-ordered RK method can be […]

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Matrix Factorization in Protein Folding

From much of the previous posts, we find that matrix factorization has many other uses besides haunting college students, such as in RSA security, sensors, and data mining. Yet another application of matrix factorization is in protein folding recognition. Protein folding is a very critical biological process that remains largely a mystery, requiring much computational […]

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More Graphical Interpolation!

Interpolation is a method in which new data can be mathematically produced using a set of previously known data. This can be employed when transforming digital images (pictures on a computer).
A blogger has touched on the subject already in a previous post named, “Resizing Digital Images Using Interpolation”. There, many different methods that are used […]

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