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Cosmology education General Relativity Mathematics Physics Science Uncategorized

Revisiting Kaluza Klein Theory

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!

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Data Analytics Data Science education Mathematics Statistics

Deriving Least Squares Coefficients Using Tensor/Index Notation

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.

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Biology education Finance Game theory Mathematics Politics

New publication: Game Theory and Dynamical Systems

Our new paper examining the dynamics of an asymmetric Hawk-Dove game was published in The International Journal of Differential Equations: 

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Basketball Chicago Bulls Data Analytics Data Science education Mathematics NBA NBA Finals NBA Playoffs Science Sports Statistics Uncategorized

Stephen Curry and Mahmoud Abdul-Rauf?

As usual, Phil Jackson made another interesting tweet today: Never seen anything like SCurry? Remind you of Chris Jackson/ Mahmoud Abdul-Rauf, who had a short but brilliant run in NBA? — Phil Jackson (@PhilJackson11) February 28, 2016 And, as usual received many criticisms from “Experts”, who just looked at the raw numbers from each players, and […]

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Data Analytics Data Science education Elections Mathematics Politics Statistics

The Effect of Individual State Election Results on The National Election

A short post by me today. I wanted to look at the which states are important in winning the national election. Looking at the last 14 presidential elections, I generated the following correlation plot:    For those not familiar with how correlation plots work, the number bar on the right-hand-side of the graph indicates the […]

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Biology Cosmology education Evolution General Relativity Mathematics Physics Religon Science

A Series of Lectures on Fine-Tuning in Biology

A recent lecture and a series of interviews has been posted online where cosmologist George F.R. Ellis discusses the issue of fine-tuning in biology at considerable length and in considerable detail. Of course, the larger theme here is that to discuss and understand things like Darwinian evolution properly, one needs to have an understanding of […]

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Cosmology Data Science education General Relativity Mathematics Physics Science

Notes on Dynamical Systems

A big part of my research involves dynamical systems theory. A lot of people don’t know what this is, at least, they don’t have a very good idea. It has not helped that the vast majority of Canadian university physics programs have deemphasized classical mechanics and differential equations, but that is an another story!  Anyways, […]

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Cosmology education General Relativity Mathematics Physics Science

On Gravitational Waves

Since I expect the concept of gravitational waves to once become very popular in the next few days, I wrote some quick notes on them, I.e., where they come from. They are handwritten, as I didn’t have time to LaTeX them, but, hopefully, they’ll be useful to interested readers!  Also note that, gravitational waves are […]

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Cosmology education General Relativity Mathematics Physics Science

Equations Published in a Cosmology Textbook

One of my earliest works was deriving equations which themselves were forms of Einstein’s field equations that described the state of the early universe, which may have had dominant viscous effects. I was delighted to learn that these equations were published in Springer’s Handbook of Spacetime Cosmology textbook. Here is a snapshot of the textbook […]

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The Three-Point Shot Delusion

The vast majority of NBA analysts claim today that the NBA has changed. It has become more fast-paced, and there is a significantly greater emphasis on teams attempting more three point shots. The evidence for this is the repeated recital of the fact that over the last number of years, the average three-point attempt rate […]