Integral and Differential Calculus
This article serves as a note for me regarding integral and differential calculus. The integral operation itself has some properties which is not covered in this article, but is available...
Tic-Tac-Toe AI Opponent with Set and Probability
Tic-tac-toe is a simple game played on a board with the objective of lining up a straight line of crosses or circles from one end to another. The board is...
From Raw and Central Moments to Standardized Moment
This article serves as a note for me to compile everything I gathered from various sources about statistical moments while trying to make sense of the mathematical relations between each...
Binomial Distribution and Hypergeometric Distribution
Both binomial distribution and hypergeometric distribution is used to measure the probability of having \(k\) successes in \(n\) draws from a population containing \(N\) objects, with \(K\) objects are considered...
Cross-Entropy and Kullback-Leibler Divergence
In the context of information theory, cross-entropy is used to calculate the expected length of code representation for a message given we’re assuming a probability distribution \(q\) of the message’s...