2015

SUnknownThe Brachistochrone, with Steven Strogatz

Thu, Mar 31, 2016

Grant talks with Steve Strogatz about the brachistochrone problem. They begin with its history of an arrogant clash between two great mathematicians of different generations. They then look at different approaches to the problem based on the insight of Mark Levi.

0 /10

SUnknownAll possible pythagorean triples, visualized

Thu, May 25, 2017

All Pythagorean triples, surprisingly, can be generated from every complex numbers.

0 /10

SUnknownBut What Is a Neural Network? Chapter 1, Deep Learning

Wed, Oct 04, 2017

0 /10

SUnknownBut what is the Fourier Transform? A visual introduction.

Mon, Jun 25, 2018

A visual explanation of how the Fourier Transform extracts frequencies from a collections of overlapping wave functions.

0 /10

SUnknownThe Unexpectedly Hard Windmill Question (2011 IMO, Q2)

Sat, Aug 03, 2019

A math puzzle that is obvious looking at the solution but devilishly difficult looking at he question. Yet solving it suggests a route to solving any mathematical question.

0 /10

SUnknownBayes theorem, the geometry of changing beliefs

Sat, Dec 21, 2019

A deep look at Bayes Theorem focusing on proportions and what it means for human perception and thinking.

0 /10

SUnknownOh, wait, actually the best Wordle opener is not "crane"...

Wed, Feb 12, 2020

Grant found that the Wordle rules handle double letter hints a bit differently then he did in the algorithm so he has an update for best first guess. But that's incidental to his real purpose which is to take a closer look at the logic for determining that word.

0 /10

SUnknownGroup theory, abstraction, and the 196,883-dimensional monster

Tue, Aug 18, 2020

Grant's contribution to the MegaFavNumber project is "The Monster", the largest sporadic group from group theory. Group are one of mathematicians ways of codifying symmetry yet the collection of all types of groups defies symmetry.

0 /10

SUnknownThe medical test paradox, and redesigning Bayes' rule

Mon, Dec 21, 2020

When you take a test for a disease there is a possibility that you may have a positive test even though you don't have the disease or a negative result when you do have it. So having taken a test what are the chances the test is correct. A tough statistical question, right. Here's a way to make it easier.

0 /10

SUnknownHow (and why) to raise e to the power of a matrix | DE6

Wed, Mar 31, 2021

Mathematical constant e raised to a matrix is a convenient notation for the sum of a Taylor series. Take a look at how it work.

0 /10

SUnknownSolving Wordle using information theory

Sat, Feb 05, 2022

Grant sets his sights on creating an algorithm to optimally solve the word game Wordle where players try to guess a secret work and are given hints based on their guesses. But grant is being a bit sly because he's really trying to keep you entertained while he teaches you some concepts in information theory.

0 /10