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The Physics of Euler's Formula | Laplace Transform Prelude 28 ደቂቃ 
The Hidden Engineering of Runways 19 ደቂቃ 
Can a magnet DESTROY your smartphone? 1 ደቂቃ 
I compared every smartwatch 1 ደቂቃ 
NO SAFETY ON A BODY 2 ደቂቃ 
Abandoned Disposable Camera Photos Revealed.. 1 ደቂቃ 
Digging A SECRET GARAGE Part 3 21 ደቂቃ 
The Real Reason We Should Revive Extinct Animals 16 ደቂቃ 
I put high Speed Prop Blades on my Kayak Paddle!! 15 ደቂቃ 
Exploring the Paranoid Country with 374,142 Bunkers to Hide Everyone (how is this possible?) 35 ደቂቃ 
WILL THIS DRIFT TRIKE WORK ON GRASS?? 19 ደቂቃ 
The Steam-Cooled STEAM Machine 26 ደቂቃ 
Is it possible that we are sharing the same stories? 1 ደቂቃ 
How Long Does Sperm REALLY Live? #science #scishow #STEM #hankgreen 1 ደቂቃ 
Why some of America’s wild horses are being slaughtered 2 ደቂቃ 
The Future Mark Zuckerberg Is Trying To Build 48 ደቂቃ 
The Insane Engineering of the P-38 Lightning 27 ደቂቃ 
I Paid a Taxi $10,000 to See How Far it Takes Me! 1 ደቂቃ 
Exploring the World's Largest $100 Billion Failed Ghost City (why did nobody move here?) 26 ደቂቃ 
How a broken heart affects your body 6 ደቂቃ 
How Liquid Dampers in Skyscrapers Work 20 ደቂቃ 
The Kurzgesagt Situation is Insane 12 ደቂቃ 
The missing ingredient in how we learn 6 ደቂቃ 
The Fungus You Should Actually Be Worried About 18 ደቂቃ 
It's way different than you think 6 ደቂቃ 
Do you see the problem?! 1 ደቂቃ 
Who else could use these? @nike #teamnike #ad 1 ደቂቃ 
Is it Possible to Prepare for an Earthquake?: Crash Course Geology #15 13 ደቂቃ 
Does this new data represent you? 🤡 #stats #happiness #science 2 ደቂቃ 
It’s not to stop you from rolling over 2 ደቂቃ 
Why Only 1% of All Possible Flights Are Direct 12 ደቂቃ 
NVIDIA CEO Jensen Huang's Vision for the Future 64 ደቂቃ 
144 Hours Stranded in the World's Most Unknown Country with No Phone 47 ደቂቃ 
This Microrobot Wiggles In Your Body 1 ደቂቃ 
Can you build a blue zone? 10 ደቂቃ 
Why American Houses Are So Flimsy 15 ደቂቃ 
How a crucial battleground candidate is rethinking AI safety 2 ደቂቃ 
Do Retention Ponds Actually Work? 18 ደቂቃ 
How ICE's Surveillance System Works 21 ደቂቃ 
Name That Infrastructure (Ep. 10) #shorts 1 ደቂቃ 
Freud was more right than you think | The Gray Area 57 ደቂቃ 
They Created A Skin Cancer Vaccine 1 ደቂቃ 
50 Hours on Europe's Most Dangerous Island 32 ደቂቃ 
Why don’t AI companies just slow down? 2 ደቂቃ 
80yrs since THE GREAT ESCAPE so Tunnelled OUT the Garden!! 12 ደቂቃ 
IF James Bond lived in a 3 bedroom house 1 ደቂቃ 
The Second Punic War - OverSimplified (Part 1) 29 ደቂቃ 
The Hidden Engineering of Niagara Falls 16 ደቂቃ 
Name That Infrastructure (Ep. 12) #shorts 1 ደቂቃ 
How the US' Only District Works 19 ደቂቃ 
We Built a Snowman IN the Car 2 ደቂቃ 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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