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SoME3 begins!
The third Summer of Math Exposition
May 17
•
Grant Sanderson
35
3
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SoME3 begins!
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Opium
Suppose that over the last few years, there's been an exponential rise in the amount of opium usage. It's especially prevalent among the youth. You've…
May 4
•
Grant Sanderson
42
7
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Opium
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April 2023
Why π is in the normal distribution (beyond integral tricks)
Here we look at classic proof explaining the pi in a Gaussian distribution, originally due to Poisson, which is just wildly fun to animate. On its own…
Apr 2
•
Grant Sanderson
27
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Why π is in the normal distribution (beyond integral tricks)
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March 2023
But what is the Central Limit Theorem?
A visual introduction to probability's most important theorem
Mar 14
•
Grant Sanderson
25
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But what is the Central Limit Theorem?
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November 2022
But what is a convolution?
As promised, here's a new video going deeper into convolutions, and in what sense the FFT algorithm can be used to speed up their computation…
Nov 18, 2022
•
Grant Sanderson
28
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But what is a convolution?
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Researchers thought this was a bug (Borwein integrals)
A curious pattern of integrals that all equal pi...until they don't.
Nov 4, 2022
•
Grant Sanderson
18
3
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Researchers thought this was a bug (Borwein integrals)
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July 2022
How to lie using visual proofs
Since the channel centers so heavily on visual intuition and visual proofs, it seems only right to give a few examples of where visual proofs can lead…
Jul 3, 2022
•
Grant Sanderson
14
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How to lie using visual proofs
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May 2022
Olympiad level counting
We begin with a seemingly innocent counting question, which came from a collection of problems used to train the USA team for the International Math…
May 23, 2022
•
Grant Sanderson
11
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Olympiad level counting
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February 2022
Oh, wait, actually the best Wordle opener is not “crane”…
I put together a brief follow-on to last week's video, talking about a small bug that influenced the choice of what starting guess is optimal. Really…
Feb 13, 2022
•
Grant Sanderson
15
1
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Oh, wait, actually the best Wordle opener is not “crane”…
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The mathematically optimal Wordle strategy
This one is an exploration for writing a Wordle solver, with the challenge of not using the official list of Wordle answers (except as a test set). But…
Feb 6, 2022
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Grant Sanderson
22
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The mathematically optimal Wordle strategy
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December 2021
Alice, Bob, and the average shadow of a cube
This is a long one and took quite a bit of work in the end, but I hope you enjoy it. It's a story of problem-solving, centered on one quite fun puzzle…
Dec 20, 2021
•
Grant Sanderson
26
1
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Alice, Bob, and the average shadow of a cube
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October 2021
Where Newton meets Mandelbrot (Holomorphic dynamics)
Learn how asking the right question about Newton's method leads to a hidden Mandelbrot set, all in the context of a general primer on holomorphic…
Oct 16, 2021
•
Grant Sanderson
20
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Where Newton meets Mandelbrot (Holomorphic dynamics)
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