# Category: Mathematics

Using a lot of data wrangling and NLP, I created a movie and tv show recommender: Basically, the user selects from the drop-down list their movie/tv show of interest, and the algorithm will recommend a combination of movies and tv shows that the user is most likely to be interested in. I tried to include […]

## Investigating Prime Numbers

In this post, I attempt to investigate the distribution of prime numbers and the famous Riemann hypothesis.

I wanted to test out R on Apple’s new M1/ARM architecture. Here’s how it went:

## On Entropy and Time Reversal

As a huge Christopher Nolan fan, I am very excited that Tenet is finally coming out this week! Here is the new and final trailer for those of you that have not seen it yet: One of the main themes in this movie will evidently be on “time inversion/reversal” based on the reversing entropy. Since […]

In the video below, I explain how to derive Kaluza Klein action which occurs from generalizing the Einstein-Hilbert action to five dimensions. The grand implication of this is that gravity and electromagnetism are unified!

Many textbooks when introducing ordinary least squares as a method to do regression (usually via introducing linear regression) don’t explain / derive the coefficients. Here, I explain how to do it using tensor/index notation.

Using mathematics to analyze who is a “better” player By: Dr. Ikjyot Singh Kohli It seems that nowadays one cannot escape the never-ending debate of “Who is better? Michael Jordan or Lebron James?” The situation is made worse by organizations like ESPN that have endless debates on their various shows combined with releasing lists of […]

By: Dr. Ikjyot Singh Kohli I wrote an extensive script in R that takes the most recent data available for the number of new/confirmed COVID-19 cases per day by location and computes the probability using statistical learning that a selected location will observe a new COVID-19 case (probability of observing a non-zero daily percentage return). […]

Abstract: It is shown that the standard/common definition of team offensive rating/offensive efficiency implies that a team’s offensive rating increases as its opponent’s offensive rebounds increase, which, in principle, should not be the case. Over the past number of years, the advanced metric known as Offensive Rating has become the standard way of measuring a basketball […]