What is the factorial of the square root of 2? Can we do factorial of a non-whole number input? Learn more fun math on Brilliant via https://brilliant.org/blackpenredpen/

The sqrt(2) factorial is defined based on the extension of the factorial with the…

Zero to the zero power, another example with the function x^sqrt(x). Be sure we know the difference between 0^0 when we do regular computation vs. 0^0 when we calculate limit. Enjoy!

0^0 indeterminate form that doesn't give you 1, https://youtu.be/zyQtN7Zbi…

What is the floor(0.999...)? Chinese version: https://youtu.be/yEOYTZ4_ee4Shop math t-shirts: https://teespring.com/stores/blackpenredpenSupport: https://www...

Programa de Mestrado: Combinatória I - Aula 08 Professor: Robert Morris Homepage: https://impa.br/~rob Aulas anteriores: https://goo.gl/j453Mz Conjuntos: teo...

Programa de Aperfeiçoamento para Professores de Matemática do Ensino Médio
IMPA, Rio de Janeiro, 21 a 25 de janeiro de 2019
Prof.: Carlos Nehab
Playlist dos videos: https://goo.gl/tJNt4n
Página do PAPMEM: https://goo.gl/euTcgg
Programação do PAPMEM: http…

Programa de Aperfeiçoamento para Professores de Matemática do Ensino Médio
IMPA, Rio de Janeiro, 21 a 25 de janeiro de 2019
Perguntas e respostas
Playlist dos videos: https://goo.gl/tJNt4n
Página do PAPMEM: https://goo.gl/euTcgg
Programação do PAPMEM: ht…

In this video, I give an elegant solution to 3blue1brown's colliding block problem using linear algebra. More precisely, I first find the matrix A that encodes the whole process and show that we basically just need to find A^n, and I then do that by diagonalizing…

In 1995 I published an article in the Mathematical Intelligencer. This article was about giving the ultimate visual explanations for a number of stunning circle stacking phenomena. In today's video I've animated some of these explanations.

Here is a copy…

Limit of ln(-x^7) as x goes to inf, does it equal to inf? Was Wolframalpha wrong?

Check out Dr. Peyam!! https://youtu.be/OtfnscR_7Bk


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This is how the integrals were started!
We will be using n equal width right endpoint rectangles to approximate the area under y=x^3 from 0 to 1, then get the actual area. As a bonus, I will of course show you the integral way of doing this at the end. …

Artist reflects on the changing impact of her work