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I have never learned through any video lectures. This video by German physicist Fredric Schuller is just so fundamentally clear ! A demonstration of “perfection in teaching.” Circulate it in the greatest possible number to help aspiring physicists learn.  youtu.be/GbqA9Xn_iM0?fe…

Thinking it

For logicians and philosophers out there, I got you this playlist on the ''analytic tradition'' of philosophy, which covers thinkers and important ideas from Frege, Russell, Wittgenstein, Carnap, Quine, Kripke, Sellars logical empiricism ++ 👀🔗👇

Just joking, this is my favorite part: The (anisotropic) diffusion equation.

11. Amsterdam, Netherlands The canals at Christmas shine with twinkling lights, reflecting off the peaceful water.

Sofia Kovalevskaya, first woman to receive a Ph.D. in mathematics, and her unconventional journey ✍️ Sofia Kovalevskaya, born on January 15, 1850, in Moscow, Russia, emerged as a trailblazing mathematician during an era when women had limited access to higher education. Her

i have a very simple question i ask during phone screens: print each level of a tree on a separate line. 90% of CS grad candidates just can't do it. someone needs to investigate these universities.

Wait. Geometry of four dimensions by Parker Manning Henry is available, scanned and made public, by University of Michigan and I didn't know this before today? It's a superb exposition of the subject which starts you up by building the foundation. Link to the book👇👇👇👇

If you're a 1st/2nd year PhD student, please make a website about yourself and your work! No need to go into debt; just use GitHub Pages and Jekyll

i am about to teach a new applied linear algebra course at Penn Engineering, meant for datasci/ML/AI. to support the class, i've written a book... [see below for links to text]

Here's a rundown of my favorite books of 2024. Links at the end of the thread. I start with my favorite book of the year by far: A Brief History of Intelligence. It's an exquisite masterclass in writing and research. At one point I realized I'd highlighted nearly every page.

For those interested in the question of whether or not there was an initial singularity, have a look at a conversation I had with Brian Greene at the World Science Festival last June. It's a deep question. youtu.be/_DMbOtpRSk0?fe…

Review article: "Nonlinear partial differential equations in neuroscience: from modelling to mathematical theory" (by José A Carrillo, Pierre Roux): arxiv.org/abs/2501.06015

"Beej’s Guide to Network Programming" A decades-old classic for learning about Network Programming in C (it's still updated regularly!). Covers fundamental topics such as TCP/IP, UDP, DNS, client-server & more with clear examples, bridging the gap between theory & practice.

34 years ago soviet tanks rolled into Vilnius. And 34 years ago Lithuanians didn’t surrender. Today is the anniversary of the January 1991 Events

A Grothendieck prime.

The Mathematics of Artificial Intelligence: In this introductory and highly subjective survey, aimed at a general mathematical audience, I showcase some key theoretical concepts underlying recent advancements in machine learning. arxiv.org/abs/2501.10465

The fact that mitochondria are worms and not little beans is blowing my mind 🤯 This makes them seem so much more dynamic...and frankly, so much more alien.

Krasnov confirmed.