Analysis with Programming

Finally, here it is, check out the video below as Stephen Wolfram showcases the Wolfram language , From my previous post , I said that I used Wolfram Mathematica for about a year before I embrace R . And frankly, I've been in love with Mathematica; it never stops on suprising me every time I use it. You can have beautiful, interactive 3D plots or any type of plots in just few lines of code; you can estimate symbolically the maximum likelihood of a distribution; and many fun stuffs. In fact, I have screencasts on Youtube about Mathematica, here it is

There is a question on TeX - StackExchange that has no direct solution to the installation of the qtree - TeX Live package in Ubuntu. And I want to answer that in this post, then just drop the link of this article to the comment section of the said query. So here is what I did: Open the Ubuntu Dash , and search for Ubuntu Software Center ; In the Software Center, search for qtree ; Select the first entry ( Humanities Packages ), and click on More Info to confirm if qtree is indeed included in this item; Finally, click . There you go, you can try it now. Here is a simple Statistics problem from Elementary Statistics Book of MSU-IIT Department of Mathematics and Statistics that uses tree diagram,

There is one package that I've been longing. A package that will give me the power to manipulate and do any 3D stuffs in R. I tried persp and wireframe , but I find them difficult to use especially on complicated mathematical functions, like doing parametric plots. And I am just frustrated about that, since I envy the 3D graphics of Wolfram Mathematica a lot, which I exploited for about a year, before I embrace R. However, that has come to an end after Joseph Rickert introduced the plot3D (authored by Karline Soetaert ) package in his post . And for the moment, we will be playing with the surf3D function. Here is the first one, the Mollusc Shell surface plot: With parametric equations: $$  \begin{eqnarray} x(u,v)&=&\left(1.16^v\right)(1 + \cos(u))\cos(v);\nonumber\\ y(u,v)&=&\left(-1.16^v\right)(1 + \cos(u))\sin(v);\nonumber\\ z(u,v)&=&\left(-2\times 1.16^v\right)(1 + \sin(u));\nonumber \end{eqnarray} $$where $u\in[0, 2\pi],\,v\in[-15, 6]$. B

One great package in R is the animation made by Yihui Xie . And just for fun , we are going to explore that. Our aim is to create simple animated 2D and 3D plots. Here is the first one, 2D of course The code, It's a piece of cake right? The function we used for wrapping the plot is saveGIF , this function basically collects all the plots made and use these as frames of the GIF file. In other words, the above plot was generated/looped 100 times through the curve function, and in every iteration we increased the limits of the x axis; hence rolling all the generated plots, animates x-axis towards positive values. What about 3-dimensional? Speechless,