How the index of refraction arises, and why it depends on color (as seen with a prism)
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This video introduces the vector calculus building blocks of Div, Grad, and Curl, based on the nabla or del operator. These operators encode physically intuitive notions of rate of change, local divergence, and local rotation.

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While it’s physically impossible for a rigid body to exist in real life, it presents a simplicity that makes it convenient and optimal to use as a representation of most hard objects. Soft bodies take care of what rigid bodies lack the capability to represent…

Session: How is AI impacting science?

Speaker: Michael Nielsen, Research Fellow, Astera Institute

Abstract: In this talk I survey the ongoing impact of the AlphaFold 2 system on science. This is a deep learning system which in blind assessment has routinely…

Title: A Quiet Revolution in Robotics

Bio: Vladlen Koltun received his PhD in 2002 and has worked across multiple fields of computer science. He has mentored more than 50 PhD students, postdocs, research scientists, and PhD student interns, many of whom…

This article introduces various bioinformatics methods (including pseudobulk, mixed-effects model, and differential distribution testing) for performing differential gene expression analysis between conditions using single cell data.

Tornadoes are produced when two differing air masses meet. Most tornadoes form during supercell thunderstorms from an intensely rotating updraft. According to the National Weather Service, a tornado is “a violently rotating column of air attached to a thunderstorm…

Breaking down how Large Language Models work
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Build a GPT from scratch, by Andrej Karpathy
https://youtu.be/kCc8FmEb1nY…

Machine learning methods such as neural networks are quickly finding uses in everything from text generation to construction cranes. Excitingly, those same tools also promise a new paradigm for scientific discovery.

In this Presidential Lecture, Miles Cranmer…

Although measuring the deterministic waveform of a weak classical force is a well-studied problem, estimating a random waveform, such as the spectral density of a stochastic signal field, is much...

Neural networks surround us, in the form of large language models, speech transcription systems, molecular discovery algorithms, robotics, and much more. Stripped of anything else, neural networks...

The following quip is often attributed to the physicist Richard Feynman:

If all of mathematics disappeared, physics would be set back by exactly one week.

See for example Quote Master, quotefancy...

Start speaking a new language in 3 weeks with Babbel 🎉. Get up to 60% OFF your subscription ➡Here: https://bit.ly/sabinebabbel05

When Roger Penrose originally came out with the idea that the human brain uses quantum effects in microtubules and that was the…

The second Maxwell Equation made simple!

Hey you lot, I'm back with possibly my longest physics video yet - hopefully it's digestible haha! A lot of you enjoyed my previous video on one of Maxwell's Equations of Electromagnetism (check it out here: htt…

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We explain why Avi Wigderson got this year’s Turing award: We show how you can make any randomized algorithm deterministic.

0:00 Intro
2:41 P = BPP
5:38 Statistical tests
7:52 Pi as a PRNG
9:44 Nisan–Wigderson…

I had the pleasure of being invited to give Harvey Mudd's commencement speech this year.
Reposted here with permission from the University

Timestamps:
0:00 - End of Harriet Nembhard's introduction
0:45 - The cliché
2:28 - The shifting goal
5:57 - Action…