If I remember correctly, Brendan Sullivan had a reputation as a TA for Concepts of Mathematics at CMU as "Math Jesus", not sure if that was a testament to his pedagogical skills or just due to the long hair and beard...
This stuck out to me too, glad someone else noticed it. Just in case people aren't aware, the law of large numbers is a phenomenon related to repeated random experiments, saying that the incidence rate of any particular…
I've used Character AI (https://beta.character.ai) and been seriously impressed with the roleplaying experience that's provided there. A UX feature that really helped was the ability to "swipe left" on a reply and…
Sigma algebras are useful even in a finite setting where we don't have to worry about pathologies. Think of them as modelling the lack of complete information in a probabilistic setting. If I know exactly which sample…
I've had some of the biggest belly laughs with a group of friends playing a game of microscope, watching as silly one-offs from the start took a life of their own and mutated over the course of centuries. It's also a…
In this example, you're not living on the surface of a donut shaped planet, you're living in a 3D space (not a surface!) that is the 3D equivalent of a donut. Pacman lives on the surface of an actual 2D donut, when he…
Normal is actually a stronger claim than "contains any finite string as a substring". That normal numbers contain any finite string as a substring is a straightforward consequence of the infinite monkey theorem:…
If I remember correctly, Brendan Sullivan had a reputation as a TA for Concepts of Mathematics at CMU as "Math Jesus", not sure if that was a testament to his pedagogical skills or just due to the long hair and beard...
This stuck out to me too, glad someone else noticed it. Just in case people aren't aware, the law of large numbers is a phenomenon related to repeated random experiments, saying that the incidence rate of any particular…
I've used Character AI (https://beta.character.ai) and been seriously impressed with the roleplaying experience that's provided there. A UX feature that really helped was the ability to "swipe left" on a reply and…
Sigma algebras are useful even in a finite setting where we don't have to worry about pathologies. Think of them as modelling the lack of complete information in a probabilistic setting. If I know exactly which sample…
I've had some of the biggest belly laughs with a group of friends playing a game of microscope, watching as silly one-offs from the start took a life of their own and mutated over the course of centuries. It's also a…
In this example, you're not living on the surface of a donut shaped planet, you're living in a 3D space (not a surface!) that is the 3D equivalent of a donut. Pacman lives on the surface of an actual 2D donut, when he…
Normal is actually a stronger claim than "contains any finite string as a substring". That normal numbers contain any finite string as a substring is a straightforward consequence of the infinite monkey theorem:…