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Showing posts from June, 2017

The Calculus Quiz: Awesome App for Children's Math

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I recently released a free Android app which is called the Calculus Quiz , and was designed to improve the ability of arithmetic operations for children without the help of calculator. I have developed this app to spend weary commute time for a couple of weeks. One of main features is its simple and clunky design. Its simplicity may help children to have more concentration on learning calculus. It supports the intriguing options such as difficulty level, operation mode, time limit, sound on/off, and auto next mode (of going on to the next problem automatically once after completing a problem). The goal of this Android app is to let children feel excited to learn calculus, and improve their skills of calculus in practice. Feel free to download the APK file from either the Aptoide store or GitHub repository to install it in your smart phone, and enjoy it with great fun!

Simulating the Poisson Point Process

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The homogeneous Poisson point process is a counting process which satisfies {N(t),t>=0} where the probability of a random variable N being equal to n at time t is Poisson-distributed. The algorithm to simulate the Poisson point process can be simplified as follows ( Chen et al. 2016 ). The MATLAB script for simulating multivariate homogeneous Poisson point process is given below. Run the following command on the MATLAB console to simulate a bivariate Poisson point process with λ=5 and length=128. X = simpoisson(2^7,2,5);  plot(X) Then, you have two time series as displayed below.

Nonfractal Connectivity Estimator

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The nonfractal connectivity estimator, nonfractal , was released in public at June 6, 2017. It is a MATLAB toolbox for estimating ' nonfractal connectivity ' as well as ' fractal connectivity ' from a set of time series with long-range dependence such as resting state functional magnetic resonance imaging (fMRI) signals. Nonfractal connectivity is coined the correlation of nonfractal (or short memory) constituents of two weakly stationary time series that are independent of fractal behavior (or long-range dependence), and is comparable to the fractal connectivity defined as the convergence of wavelet correlation over scales. Please refer to the following publications for the underlying mathematical theories. Wonsang You, Sophie Achard, Joerg Stadler, Bernd Bruekner, and Udo Seiffert, " Fractal analysis of resting state functional connectivity of the brain ," in 2012 International Joint Conference on Neural Networks, 2012.  Achard, S., Bassett, D. S....