Enough with the theory we recently published, let's take a break and have fun on the application of Statistics used in Data Mining and Machine Learning, the k-Means Clustering.k-means clustering is a method of vector quantization, originally from signa...
More proving, still on Real Analysis. This is my solution and if you find any errors, do let me know.ProblemsLebesgue Measure: Let $\mu$ be set function defined for all set in $\sigma$-algebra $\mathscr{F}$ with values in $[0,\infty]$. Assume $\mu$ is ...
Another proving problem, this time on Real Analysis.ProblemProve that the Lebesgue outer measure is translation invariant. (Use the property that, the length of an interval $l$ is translation invariant.) SolutionProof. The outer measure is translation ...
Currently, I am taking Statistics for Image Analysis on my masteral, and have been exploring this topic in R. One package that has the capability in this field is the EBImage from Bioconductor, which will be showcased in this post.InstallationFor those...
Enthought Canopy is a comprehensive Python analysis environment with easy installation and updates of the proven Enthought Python distribution - all part of a robust platform you can explore, develop and visualize on. (Ref. 1)To install this, do the f...
This problem is the continuation of my previous post on Monotonic Sequence.ProblemProve the following: If $A_k$ is monotone, then \begin{equation} \mathrm{P}\left(\displaystyle\lim_{n\to\infty} A_n\right)=\displaystyle\lim_{n\to \infty}\mathrm{P}(A_n)....
Analysis with Programming has recently been accepted as a contributing blog on Mathblogging.org, a blogosphere aiming to be the best place to discover mathematical writing on the web. And as a first post, being a member of the said site, I will do prov...
$\mathrm{\LaTeX}$ has the capability to draw beautiful graphics. This feature is possible with TikZ package. Here is the plot of $f(x) = x$,In $\mathrm{\LaTeX}$, everything has to be coded. From axes, to labels, to points on the $xy$-plane; that explai...
There will be upcoming meet ups for R User Group Philippines and Python Philippines (PythonPH) Community. Below are the details:R Meetuptopic: R for SAS users, and planning of RUG activities venue: 9/F Sun Life Centre, 5th Avenue corner Rizal Driv...
It's been two weeks for search and rescue operations of the Malaysia Airlines Flight MH370, after it vanished from the radar on March 8, 2014. And wherever they are, we hope and pray for them.Photo from VENUS - Wall of Hope & Prayers for MH370In th...
