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The Physics of Euler's Formula | Laplace Transform Prelude 28 min 
The incredible engineering of Venice - Stephanie H. Smith 7 min 
What If You Just Keep Digging? 11 min 
Digging A SECRET GARAGE Part 3 21 min 
Why NASA Is Sending This Truck To The Moon 24 min 
144 Hours Stranded in the World's Most Unknown Country with No Phone 47 min 
Why are people spending $1,000 for old iPods 16 min 
Digging A SECRET GARAGE Part 2 22 min 
ONE OF US 3 min 
SECRET Garage Car Lift Part 1 30 min 
Glass is glass 5 min 
Why is getting bitten by a rabid animal so dangerous? - Charles Rupprecht 7 min 
Why some of America’s wild horses are being slaughtered 2 min 
Unhinged Lady Ran for Senate and Got Arrested for Wild Behavior 21 min 
The Age of Laser Warfare Has Begun 24 min 
72 Hours Lost in the World’s Richest Dictatorship (no hotel, no food, no transportation...) 38 min 
This Machine makes me WEIGHTLESS!! 25 min 
The Insane Engineering of Europa Clipper 21 min 
I Built a Fake Home Theater in the Tech House… 18 min 
Is it possible that we are sharing the same stories? 1 min 
Angie Nixon’s playbook to be Florida’s next senator | America, Actually 35 min 
What do you think? 2 min 
The Kurzgesagt Situation is Insane 12 min 
It’s not your typical jigsaw puzzle — it’s your next great adventure 1 min 
Lily Gladstone Reads Comments 3 min 
Why is everyone suddenly neurodivergent? 8 min 
The Terrible Design of Newark Airport 17 min 
One Piece of News From Every Country in the World 43 min 
The Pig War - OverSimplified 39 min 
Amtrak's Subtle, Surprising Success 20 min 
Why American Houses Are So Flimsy 15 min 
The Second Punic War - OverSimplified (Part 3) 50 min 
New Zealand's Australia Problem 18 min 
The truth behind the millennial "midlife crisis" | The Gray Area 52 min 
Magnetic Floating Skateboard. 1 min 
California’s Tallest Bridge Has Nothing Underneath 18 min 
So hot underground it smokes!! 1 min 
Name That Infrastructure (Ep. 12) #shorts 1 min 
Data centers can’t win on Earth. How about in space? 2 min 
Actually Stranded on a Deserted Island for 42 Hours (real emergency) 37 min 
Name That Infrastructure (Ep. 8) #shorts 1 min 
Why even the best aquariums can’t give animals what they need 2 min 
How Liquid Dampers in Skyscrapers Work 20 min 
The Wild Story of the Teton Dam Failure 20 min 
RECAP: First Punic War 3 min 
Why Texas Wins 20 min 
Name That Infrastructure (Ep. 15) #shorts 1 min 
The Failed Logistics of Hurricane Katrina 21 min 
What's safe to eat now? 8 min 
Name That Infrastructure (Ep. 7) #shorts 1 min 
Thunderquakes Let Us Find Secrets Underground 1 min 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 1:51 - Euler's formula explained dynamically 9:27 - The harmonic oscillator 21:08 - General linear equations 22:47 - Motivating the Laplace Transform ------------------ These animations are largely made using a custom Python library, manim. See the FAQ comments here: https://3b1b.co/faq#manim Music by Vincent Rubinetti. https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u ------------------ 3blue1brown is a channel about animating math, in all senses of the word animate. If you're reading the bottom of a video description, I'm guessing you're more interested than the average viewer in lessons here. It would mean a lot to me if you chose to stay up to date on new ones, either by subscribing here on YouTube or otherwise following on whichever platform below you check most regularly. Mailing list: https://3blue1brown.substack.com Twitter: https://twitter.com/3blue1brown Bluesky: https://bsky.app/profile/3blue1brown.com Instagram: https://www.instagram.com/3blue1brown Reddit: https://www.reddit.com/r/3blue1brown Facebook: https://www.facebook.com/3blue1brown Patreon: https://patreon.com/3blue1brown Website: https://www.3blue1brown.com
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