From 3Blue1Brown. Part of a series of monthly puzzles, done in collaboration with MoMath. https://momath.org/mindbenders

From 3Blue1Brown. Solution to last month’s probability puzzle.

From 3Blue1Brown. Solution to last month’s probability puzzle.

From 3Blue1Brown. Unexpected applications and a beautiful proof. Looking for a new career? Check out https://3b1b.co/talent Supporters get early access to new videos: https://3b1b.co/support An equally valuable form of support is to simply share the videos. Home page: https://www.3blue1brown.com Credits: Senia Sheydvasser: Co-writing and sphere deformation animations Paul Dancstep: Those lovely fluffy sphere animations Vince…

From 3Blue1Brown. This is the first in a set of monthly puzzles, curated by Peter Winkler. This one was originally suggested by Richard Stanley. You can sign up to hear his description of the answer at http://momath.org/mindbenders

From 3Blue1Brown. Studying the forced harmonic oscillator by taking a Laplace transform and studying its poles. Instead of sponsored ad reads, these lessons are funded directly by viewers: https://3b1b.co/support An equally valuable form of support is to simply share the videos. Home page: https://www.3blue1brown.com Chapter on the Laplace Transform: Chapter on the S-plane and Simple…

From 3Blue1Brown. A fuller version of this explanation, also including the reason we care about complex exponents in the first place: https://youtu.be/-j8PzkZ70Lg

From 3Blue1Brown. Visualizing the most important tool for differential equations. Previous chapter: https://youtu.be/-j8PzkZ70Lg Instead of sponsored ad reads, these lessons are funded directly by viewers: https://3b1b.co/support An equally valuable form of support is to simply share the videos. Home page: https://www.3blue1brown.com Pi creature car artwork by Kurt Bruns Engine animation borrowed with permission from this…

From 3Blue1Brown. The simple harmonic oscillator and the fundamental role of complex exponents for ODEs. Next chapter on the Laplace Transform video: https://youtu.be/j0wJBEZdwLs Instead of sponsored ad reads, these lessons are funded directly by viewers: https://3b1b.co/support An equally valuable form of support is to simply share the videos. Home page: https://www.3blue1brown.com Timestamps: 0:00 – Intro…

From 3Blue1Brown. What role were ruler and compass constructions really serving? Check out Ben’s channel: @bensyversen Interview with the author of this video: https://youtu.be/VohYM99j8e0 Supporters get early views of new videos: https://3b1b.co/support Written, produced, edited, and animated by Ben Syversen Additional editing: Jack Saxon 3d Blender model: Jan-Hendrik Müller Additional Blender help: Thibaut Modrzyk (@Deepia)…

From 3Blue1Brown. Full video: https://youtu.be/_BrFKp-U8GI

From 3Blue1Brown. Sol LeWitt’s "Incomplete Open Cubes" and rediscovering Burnside’s lemma in group theory An interview with the author of this video: https://youtu.be/JEeM2ABUMoo Instead of sponsored ad reads, these lessons are funded directly by viewers: https://3b1b.co/support An equally valuable form of support is to share the videos. Home page: https://www.3blue1brown.com Thanks to the Wadsworth Atheneum…

From 3Blue1Brown. Deriving the Boltzmann formula, defining temperature, and simulating liquid/vapor. @SpectralCollective has the second part: https://youtu.be/yEcysu5xZH0 You can play with a simulation of this model here: https://vilas.us/simulations/liquidvapor/ These lessons are funded directly by viewers: https://3b1b.co/support Home page: https://www.3blue1brown.com Notes from Vilas: 1) This open problem is to prove the ergodicity of the deterministic dynamical…

From 3Blue1Brown. From this guest video by @WelchLabs on how diffusion models work: https://youtu.be/iv-5mZ_9CPY

From 3Blue1Brown. How AlphaGeometry combines logic and intuition. Check out Aleph0’s channel: https://youtube.com/@Aleph0 Instead of sponsored ad reads, these lessons are funded directly by viewers: https://3b1b.co/support An equally valuable form of support is to share the videos. Home page: https://www.3blue1brown.com Special thanks to Trieu Trinh for fact-checking the script. Blog post on an open-sourced geometry…

From 3Blue1Brown. Diffusion models, CLIP, and the math of turning text into images Welch Labs Book: https://www.welchlabs.com/resources/imaginary-numbers-book Sections 0:00 – Intro 3:37 – CLIP 6:25 – Shared Embedding Space 8:16 – Diffusion Models & DDPM 11:44 – Learning Vector Fields 22:00 – DDIM 25:25 – Dall E 2 26:37 – Conditioning 30:02 – Guidance 33:39…