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Data Analytics Data Science Elections Politics Statistics

Did Clyburn Help Biden in South Carolina?

By: Dr. Ikjyot Singh Kohli The conventional wisdom by the political pundits/analysts who are seeking to explain Joe Biden’s massive win in the 2020 South Carolina primary is that Jim Clyburn’s endorsement was the sole reason why Biden won. (Here is just one article describing this.) I wanted to analyze the data behind this and […]

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Optimal Strategies for Winning The Democratic Primaries

By: Dr. Ikjyot Singh Kohli Election season is upon us again, and a number of people from political analysts to campaign advisors are making a huge deal about winning the Iowa caucuses. This seems to be the standard “wisdom”. I decided to run some analysis on the data to see if it was true. I […]

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Basketball Mathematics NBA Sports Statistics

A Problem With Offensive Rating

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 […]

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Basketball Data Analytics Data Science Mathematics NBA Sports Statistics Uncategorized

NBA Analytics Dashboard

Here is an embedded dashboard that shows a number of statistical insights for NBA teams, their opponents, and individual players as well. You can compare multiple teams and players. Navigate through  the different pages by clicking through the scrolling arrow below. (The data is based on the most recent season “per-game” numbers.) (If you cannot […]

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Data Analytics Data Science Elections Mathematics Politics Statistics

The Probability of An Illegal Immigrant Committing a Crime In The United States

Trump has once again put The U.S. on the world stage this time at the expense of innocent children whose families are seeking asylum. The Trump administration’s justification is that:   “They want to have illegal immigrants pouring into our country, bringing with them crime, tremendous amounts of crime.”   I decided to try to […]

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Basketball Data Analytics Data Science Mathematics NBA NBA Playoffs Sports Statistics

The Risk of The 3-Point Shot

As more and more teams are increasing the number of threes they attempt based on some misplaced logical fallacy that this somehow leads to an efficient offense, we show below that it is in fact in a team’s opponent’s interest for a team to attempt as many three point shots as possible. Looking at this […]

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Cosmology General Relativity Mathematics Physics Science

New Article Published in Journal of Geometry and Physics

Our new article was recently published in The Journal of Geometry and Physics. It is shown that under certain conditions, The Einstein Field Equations have the same form as a fold bifurcation seen in Dynamical Systems theory, showing even a deeper connection between General Relativity and Dynamical Systems theory! (You can click the image below […]

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Basketball Data Analytics Data Science Mathematics Science Sports Statistics

An Equation to Predict NBA Playoff Probabilities

Based on a previous paper I wrote that used machine learning to determine the most relevant factors for teams making the NBA playoffs, I did some further analysis in an attempt to come up with an equation that outputs the probability of an NBA team making the playoffs in a given season. From the aforementioned […]

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Basketball Mathematics NBA Statistics

When is it optimal to shoot a 3-Point Shot

A very interesting result: computing payoffs of players, the following is a diagram that shows when it is optimal for a player to shoot a 2 point or a 3-point shot. One sees that it is hardly ever optimal for a player to shoot a 3-point shot, since the region corresponding to 3-point optimality is […]

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Game theory General Relativity Mathematics Physics

Lectures on Nonlinear Dynamical Systems 

Here is a link to my lectures on nonlinear dynamical systems given at York University during the Winter semester of 2017.  These lectures start off with manifold theory, and end with examples in biology, game theory, and general relativity/cosmology.