The math behind cryptocurrencies.
Help fund future projects: https://www.patreon.com/3blue1brown
An equally valuable form of support is to simply share some of the videos.
Special thanks to these supporters: http://3b1b.co/btc-thanks
This video was also funded with help from Protocol Labs: https://protocol.ai/join/

Some people have asked if this channel accepts contributions in cryptocurrency form. As a matter of fact, it does:
http://3b1b.co/crypto
ENS: 3b1b.eth

2^256 video: https://youtu.be/S9JGmA5_unY

Music by Vincent Rubinetti: https://soundcloud.com/vincerubinetti/heartbeat

Here are a few other resources I'd recommend:

Original Bitcoin paper: https://bitcoin.org/bitcoin.pdf

Block explorer: https://blockexplorer.com/

Blog post by Michael Nielsen: https://goo.gl/BW1RV3
(This is particularly good for understanding the details of what transactions look like, which is something this video did not cover)

Video by CuriousInventor: https://youtu.be/Lx9zgZCMqXE

Video by Anders Brownworth: https://youtu.be/_160oMzblY8

Ethereum white paper: https://goo.gl/XXZddT

Timestamps:

0:00 - Introduction
2:25 - Ledgers and digital signatures
7:21 - The ledger is the currency
10:06 - Decentralization
12:26 - Cryptographic hash functions
14:38 - Proof of work and blockchains
19:42 - Double spending
21:41 - Block times, halvenings, and transaction fees
24:40 - Thanks

------------------
Animations are largely made using manim, a scrappy open-source python library. https://github.com/3b1b/manim

If you want to check it out, I feel compelled to warn you that it's not the most well-documented tool, and has many other quirks you might expect in a library someone wrote with only their own use in mind.

Music by Vincent Rubinetti.
Download the music on Bandcamp:
https://vincerubinetti.bandcam....p.com/album/the-musi

Stream the music on Spotify:
https://open.spotify.com/album..../1dVyjwS8FBqXhRunaG5

If you want to contribute translated subtitles or to help review those that have already been made by others and need approval, you can click the gear icon in the video and go to subtitles/cc, then "add subtitles/cc". I really appreciate those who do this, as it helps make the lessons accessible to more people.
------------------

3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe, and click the bell to receive notifications (if you're into that).

If you are new to this channel and want to see more, a good place to start is this playlist: http://3b1b.co/recommended

Various social media stuffs:
Website: https://www.3blue1brown.com
Twitter: https://twitter.com/3Blue1Brown
Patreon: https://patreon.com/3blue1brown
Facebook: https://www.facebook.com/3blue1brown
Reddit: https://www.reddit.com/r/3Blue1Brown

Things you didn't know about THE GROUND | Natural Sciences for Children | Happy Learning

The ground is part of our life, always under our feet, it is what sustains us and something to which we rarely give importance but which is with all of us throughout our lives. It is in our cities, in the countryside, in the jungle, in the rivers, in our schools and in our homes.
Do you want to learn when to be formed? How is? Fun facts? Well, stay in this incredible Happy Learning video because you will learn this and much more. Are you ready?

Discover hundreds of never-before-seen resources! Create your free account at https://my.happylearning.tv/ and learn in the most fun way.

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#fact
#happylearning

Discover hundreds of never-before-seen resources! Create your free account at https://my.happylearning.tv/ and start learning in the most entertaining way.

What are you waiting for? MATHS IS EASY PEASY with Happy Learning

💭Who has practiced and now knows their 4 x tables??
👇Tell us if it helped you in the comments below!!

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Recommended Video: 3 Times Table Song: Easy Peasy Maths
--------------
Hello Happy Friends, Welcome to a new Happy Learning Video!
Today, we're going to learn the 3 times table!

1 X 4 = 4
2 X 4 = 8
3 X 4 = 12
4 X 4 = 16
5 X 4 = 20
6 X 4 = 24
7 X 4 = 28
8 X 4 = 32
9 X 4 = 36
10 X 4 = 40

One more time!

Subscribe to Happy Learning: https://my.happylearning.tv/

More related videos: https://www.youtube.com/playli....st?list=PLLF_mZmNqOn

Curiosities for kids: https://www.youtube.com/playli....st?list=PLLF_mZmNqOn

Do you know what cardinal and ordinal numbers are? Discover it in this fun educational video! Learn how we use cardinal numbers for counting and performing basic math operations like addition, subtraction, multiplication, and division. You'll also explore ordinal numbers, perfect for ordering and assigning positions within a group. See practical examples like balloon races, counting at a party, and much more. 🌟 Ideal for learning while playing and understanding the magic of numbers.

Discover hundreds of never-before-seen resources! Create your free account at https://my.happylearning.tv/ and start learning in the most entertaining way.

This animation teaches the learner to define and identify homophones.

0:00 - Introduction to Homophones
1:47 - Examples of Homophones
4:23 - Summary

#Homophones #EnglishGrammar #iKen

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“Ikenedu” is a web channel intended to promote e-learning, visual aids, digital lessons for students, parents & teachers. It is intended primarily for the purpose of learning, teaching, reference of concepts and topics in the curriculum and beyond for the K12 segment and in general for the education domain. These characters, clips, animations, scripts and notes are all a work of Mexus Education Pvt Ltd of which iken is a brand and Mexus Education Pvt Ltd remains the owner/s of the copyright. As per section 14 of the copyrights act, the right of adaptation, right of reproduction, right of publication, right to make translations, communication to public etc. are held only with the owner of the content which is Mexus Education Pvt Ltd.

Learn about the nations, physical characteristics, influences, culture, and economy of South Asia!
We hope you are enjoying our large selection of engaging core & elective K-12 learning videos. New videos are added all the time - make sure you come back often to learn more! If you’d like us to cover any additional topics, please let us know.
For practice, assessment, and many interactive activities that go along with each video, as well as a teacher/parent dashboard, go to Miacademy.co for Grades K-8 or Miaprep.com for grades 9-12!

Get ready for an exciting journey through space in this educational live video about the Solar System, specially designed for elementary school kids, teachers, and families. We’ll learn about the planets, the Sun, asteroids, galaxies, and many other wonders of the cosmos with clear, engaging, and fun explanations.

🚀 Did you know that Saturn has more than 80 moons? Or that asteroids can have their own orbits? In this live session, we’ll explore the most amazing space facts, answer questions in real-time, and dive into phenomena like eclipses, the Earth’s movements, the Milky Way, dwarf planets like Pluto, and much more.

🌍 This live broadcast is perfect for covering social science, astronomy, and science education topics at home or in the classroom. Tune in and join us on this stellar adventure to uncover the secrets of the universe while nurturing curiosity and a love for learning.

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Did you know that the moon is slowly moving away from Earth? In this Happy Learning video, we'll explore fascinating facts about the moon, such as how it affects the length of our days, why we'd weigh six times less on the moon, and how gravity works differently there! Learn about Galileo's predictions and the surprising results of an experiment done on the moon during the Apollo mission. A fun and educational video for kids that will make you look at the moon in a whole new way!

Astronomy in Primary School sparks children's curiosity about the universe, the planets, the stars, and celestial phenomena. Through our educational videos, they will explore the Solar System, eclipses, the phases of the Moon, galaxies, and black holes, gaining a better understanding of how the cosmos works and its impact on Earth.

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Welcome to Happy Learning! 🚀📚
The educational channel where learning is an adventure. Our goal is to spark curiosity and a love for knowledge in primary school children through fun and dynamic educational videos.

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🌟 Join our community of explorers!

Teachers, check out some of my favorite math warm ups for a first grade classroom! This video includes 4 different warm ups to use at the beginning of your math block, including a brand new game called Make 11! Watch how to learn how to play :)

Buzz Game: https://youtu.be/1Hn1yAUcmQM
Fix it Cards on TPT: http://bit.ly/SJTFixitCards

SJT WRITING CLUB: https://sjtclub.mykajabi.com/SJT-writing-club
SJT MATH CLUB: https://sjtclub.mykajabi.com/SJT-math-club
SJT LITERACY CLUB: https://sjtclub.mykajabi.com/sjt-literacy-club
Join my FB group: https://www.facebook.com/groups/1666817543386771

If you happen to use any of these games in your classroom, leave a comment below and let me know how they go! :) Also, if you share any of the games from Susan's Sunday Spotlight, please tag me on instagram @susanjonesteaching so I can see!! You can also use the hashtag: #susanssundayspotlight

**SIGN UP FOR MY EMAIL LIST FOR THE LATEST UPDATES, TIPS, and FREEBIES!**
http://bit.ly/SJTnewsletter

Be sure to subscribe and click the bell to see all my future videos.

Happy teaching,
Susan Jones

MY BLOG:
http://susanjonesteaching.com/

MY STORE:
https://www.teacherspayteacher....s.com/Store/Susan-Jo

You can see tons of other games for first grade students below!
Math: http://bit.ly/SJTMathGames
Phonics: http://bit.ly/SJTphonicsgames
Sight Words: http://bit.ly/SJTsightwordgames

Full disclosure: Amazon links in my descriptions are usually affiliate links which means if you purchase through that link, I receive a very small percentage of the sale.

CONTACT: susanjonesteaching@gmail.com

Kodak detected the first atomic bomb before anyone else figured it out. Then they made a deal not to tell anyone. Thanks to HBO Max, and their new show raised by Wolves for sponsoring this video! https://rb.gy/alghwn

Thanks to Uranium: Twisting the Dragon's Tail for the opening clip: https://www.pbs.org/show/urani....um-twisting-dragons-

References:
Albuquerque Tribune Bulletin, July 16, 1945 – https://www.marshallfoundation.....org/library/documen

Webb, J. H. (1949). The fogging of photographic film by radioactive contaminants in cardboard packaging materials. Physical Review, 76(3), 375.

Julian Webb at Oak Ridge – Snavely, B. B. (1989). Julian H. Webb. PhT, 42(7), 87.https://physicstoday.scitation.....org/doi/pdf/10.1063

Radium in watch dials – https://www.epa.gov/radtown/radioactivity-antiques

A 1958 video about how Kodak film is made, noting the careful monitoring of radioactive contaminants – https://www.youtube.com/watch?v=9qjBJOFImaU&t=597s&ab_channel=OwenMorgan

Radioactive fallout in 1951 - https://www.nytimes.com/1951/0....2/03/archives/increa

1998 senate hearing – https://www.govinfo.gov/conten....t/pkg/CHRG-105shrg44

Institute of Medicine and National Research Council. 1999. Exposure of the American People to Iodine-131 from Nevada Nuclear-Bomb Tests: Review of the National Cancer Institute Report and Public Health Implications. Washington, DC: The National Academies Press. https://doi.org/10.17226/6283. https://www.cancer.gov/about-c....ancer/causes-prevent

Baby Teeth Survey – Reiss, L. Z. (1961). Strontium-90 absorption by deciduous teeth. Science, 134(3491), 1669-1673.

Strontium 90 and Cancer rates – Gould, J. M., Sternglass, E. J., Sherman, J. D., Brown, J., McDonnell, W., & Mangano, J. J. (2000). Strontium-90 in deciduous teeth as a factor in early childhood cancer. International Journal of Health Services, 30(3), 515-539.

Wine forensics – Hubert, P., Perrot, F., Gaye, J., Médina, B., & Pravikoff, M. S. (2009). Radioactivity measurements applied to the dating and authentication of old wines. Comptes Rendus Physique, 10(7), 622–629. doi:10.1016/j.crhy.2009.08.007

Strontium 90 in forensics – Maclaughlin-Black, S. M., Herd, R. J., Willson, K., Myers, M., & West, I. E. (1992). Strontium-90 as an indicator of time since death: a pilot investigation. Forensic science international, 57(1), 51-56.

Research and Writing by Derek Muller, Petr Lebedev, and Jonny Hyman

Filmed and edited by Derek Muller
Animations by Ivy Tello and Jonny Hyman
Music by Jonny Hyman
Additional Music from:
Epidemic Sound https://epidemicsound.com "Seaweed"
Kevin MacLeod https://incompetech.com "Lightless dawn"
Craig Conrad https://www.craigconard.com/royaltyfree "ASTRAL"

Tomi Virkki, a leader in PMI’s technology transformation team, joins the conversation to share how the company is industrializing AI at scale. As one of the architects behind PMI’s AI Factory, Tomi has been driving the shift from scattered pilots to enterprise-wide, value-driven solutions. He explains how PMI governs the full lifecycle of GenAI use cases—from ideation to impact—while balancing governance with innovation. The discussion explores the biggest blockers to scaling AI, how to measure business value, and why change management and employee enablement are critical to success. Listeners will gain a behind-the-scenes view of how large enterprises can build confidence in AI, align cross-functional teams, and unlock both top- and bottom-line growth through GenAI.

00:00 Intro
02:03 Defining AI Industrialization in Large Enterprises
05:01 Building PMI’s AI Factory and Strategic Pillars
07:10 Scaling AI: Blockers and Cultural Shifts
08:03 Measuring Business Value from AI Use Cases
08:56 Governance and Cross-Functional Alignment
11:13 Biggest Opportunities for Generative AI in Enterprises
13:36 Governance, Risk Management, and Responsible AI
15:02 Employee Enablement and Democratization of AI
15:52 Misconceptions About Generative AI Industrialization
16:43 Emerging AI Capabilities: Generative Orchestration

Subscribe now to Intel on YouTube: https://intel.ly/3IX1bN2

About Intel:
Intel, the world leader in silicon innovation, develops technologies, products and initiatives to continually advance how people work and live. Founded in 1968 to build semiconductor memory products, Intel introduced the world's first microprocessor in 1971. This decade, our mission is to create and extend computing technology to connect and enrich the lives of every person on Earth.

Connect with Intel:
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AI Industrialization: The Next Frontier for Global Enterprises | Intel
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Best 9 AI Tools for Students !! - 2026 Edition #aitools #ai2026 #aiforstudents #artificialintelligence #ai #2026

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9 AI Tools Every Student NEEDS in 2026 | Cut Study Time in Half & Double Your Grades.

Are you drowning in assignments and spending endless hours studying with minimal results? Discover 9 game-changing AI tools that will transform your academic life and help you study smarter, not harder.

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Notebook LM (by Google) - Have conversations with your textbooks and generate AI podcast discussions of your study materials with direct citations

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Rem Note - Combines note-taking with spaced repetition and mind mapping, automatically converting notes into flashcards scheduled at optimal intervals

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Remember: "The illiterate of the 21st century will not be those who cannot read and write, but those who cannot learn, unlearn, and relearn."

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Welcome to our exciting math lesson - "Learn All About Addition with Numberblocks"! In this video, we'll be exploring the world of adding and sums with the help of our beloved Numberblocks characters. Our 50-minute lesson is packed with fun and engaging activities that will teach kids the fundamentals of math while keeping them entertained. With our expert guidance, learning to count and adding numbers has never been more enjoyable! So, join us now and let's discover the joys of math together. Don't forget to subscribe to our channel for more exciting math lessons and educational content for kids.

For more, download the official Numberblocks apps;
https://www.learningblocks.tv/numberblocks/apps

Official website;
https://www.learningblocks.tv/numberblocks/home

As seen on CBeebies! Watch Numberblocks full episodes on BBC iPlayer: https://bbc.in/2ZHvNtl
Subscribe for more Numberblocks: https://goo.gl/rF32S8
Visit the Numberblocks on;
Twitter: @numberblocks
Facebook: facebook.com/numberblocks/
Instagram: @numberblocks

We are the Numberblocks! Little blocks with big ideas, having a ton of number fun. Learn how to add, subtract and count the fun and educational way! In this educational CBeebies cartoon for kids, children can learn how to count with basic maths sums, using addition and subtraction with singular blocks that join together to make increasingly bigger numbers.

#Numberblocks #LearnToCount #addition #kidscartoon

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In this video, I will tell you the top 5 AI tools for students that can completely transform the way you study. Whether you're in school or preparing for competitive exams, these AI tools can help you understand tough concepts, summarise lengthy notes, practice exam-level questions, and even create impressive presentations.

Tools like ChatGPT, Gemini, Perplexity, Notion AI, and Knowt are discussed in detail, along with their best features for academic use. You'll also learn how to ask better questions using smart prompt techniques so AI gives you more accurate and helpful answers. These tools are especially useful for students who self-study or don’t have access to expensive coaching. Watch till the end and also share it with your friends.

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This math video is about shapes, but more specifically it is about sorting shapes by attributes! If you need help sorting shapes by color, or identifying the geometric properties of 2D shapes watch this fun educational primary math shapes sorting lesson! This math video introduces geometrical reasoning.

00:00 - Introduction
00:35 - Introducing the Names of 2D Shapes
00:56 - Introducing Attributes of Shapes
02:28 - Sorting Shapes
03:23 - Sorting Shapes by Color Attribute
04:39 - Sorting Shapes by Number of Sides Attribute
05:53 - Sorting Shapes by Multiple Attributes
07:19 - Outro

Mini Math Movies is a new mathematics educational series from Scratch Garden full of in depth math lessons for kids! Check out the full playlist here: https://tinyurl.com/minimathmovies

Scratch Garden makes entertaining educational videos for people that like to laugh and learn! Please Subscribe to see more great fun learning videos from Scratch Garden! https://goo.gl/1biPjA


Website: https://www.scratchgarden.com
Instagram: https://www.instagram.com/scratchgarden
Facebook: https://www.facebook.com/scratchgarden

#minimathmovies #sortingshapes #mathlessonsforkids

Gemini y NotebookLM son las herramientas de inteligencia artificial más potentes de Google, y en este tutorial te enseño a combinarlas para multiplicar sus resultados. Aprende a construir tu base de conocimiento en NotebookLM, conectarla a Gemini para hacer prompts más efectivos y generar outputs reales con NotebookLM Studio: tablas, infografías, mapas mentales y presentaciones. La mejor forma de sacarle todo el partido a la IA de Google, paso a paso y con ejemplos.

🔴Curso de Gemini gratis: https://www.youtube.com/playli....st?list=PLlyOPdH1-Zo
📄Descarga los apuntes en PDF: https://ewdbse.short.gy/formulario-gemini

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⚠️ Algunos enlaces de esta descripción pueden ser enlaces de afiliados, por lo cual si compras algo a través de ellos, yo me llevo una pequeña comisión (a ti te cuesta lo mismo y ayudas al canal, así que gracias)😉

⏰Capítulos del vídeo⏰
0:00 Lo que haremos
0:30 Cómo lo haremos
1:10 Cómo crear un cuaderno con las fuentes en NotebookLM
2:07 Cómo buscar más fuentes en NotebookLM
4:09 Cómo conectar NotebookLM con Gemini
4:49 Usar solo el cuaderno de NotebookLM para la respuesta de Gemini
6:04 Combinar información de NotebookLM con el conocimiento de Gemini
7:21 Generar una respuesta práctica para el día a día
8:32 Crear una lista de prompts útiles
9:48 Pasar las respuestas de Gemini a NotebookLM
11:10 Generar tablas increíbles
12:34 Cómo crear una infografia
13:17 Generar un mapa mental
14:27 Generar presentaciones de PowerPoint

In our "Search and Explore" series, your child will listen to educational songs and full-length episodes about the most amazing locations around the world!! These videos spark a curiosity of adventure and provide an engaging and safe experience to promote play and learning ❤️ Come sing along!! 🎵 🎵

And visit https://www.abcmouse.com/learn/youtube to find out more about our award-winning online learning program for children 2–8!

In this episode, your child will visit the Grand Canyon with ABC and 1-2-3! 🐭 It is a beautifully animated music video that promotes your child's language development and introduces a wonder of the world!

Watch more songs, stories, and more by subscribing to our @ABCmouse YouTube channel: https://YouTube.com/ABCmouse

Other Search + Explore videos include:

Statue of Liberty (New York!) 🗽
The Great Barrier Reef (Australia!)
Amazon Rainforest
Wolong Panda Sanctuary 🐼
Galapagos Island
Hawaii
Mississippi River
The Andes
The Pyramids (ancient Egypt)
Appalachian Trail
Mt. Everest
Alaska

#abcmouse #education #kidslearning #preschool #children

© Age of Learning, Inc. All rights reserved.

Here are 5 more sentences that use the idiom 'bend over backwards' in daily life:
1) My boss really _______ to give me the time off I needed for my family vacation.
2) The volunteer team is amazing - they always _______ to help the community.
3) The customer service representative really _______ to resolve my issue.
4) Our neighbor is so kind - she always _______ to help us out when we need it.
5) My friend is really busy, but she still _______ to plan a surprise party for me.

How will you use the idiom 'bend over backwards' in your daily life?
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請訂閱我們的頻道、點讚、分享，鼓勵我們分享更多有用又有趣的知識。
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歡迎觀看我們所創作的的其他影片
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6）English Idioms 英語成語
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7）Revision Exercise 重温練習
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8）Fun Games 趣遊戲味
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9） Tongue Twister 繞口令
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10）Writing a composition 作文
https://www.youtube.com/playli....st?list=PLPoPxSDq_eP

There is plenty of art ABOUT space, but this video explores art ACTUALLY IN space. Learn about cosmonauts sketching orbital sunrises, the Moon Museum, Carl Sagan's Golden Record, and the sculptures currently orbiting Earth today, among other works of space art. Journey over to It's Okay to Be Smart to watch their Summer of Space episode: https://www.youtube.com/watch?v=Qr28zMXQ3bU

Thanks to our Grandmasters of the Arts Vincent Apa and Ernest Wolfe, and all of our patrons, especially Iain Eudaily, Patrick Hanna, Nichole Hicks, Eve Leonard, David Moore, Frame Monster Design Laboratory, Jane Quale, Constance Urist, and Nicholas Xu. To support our channel, visit: http://www.patreon.com/artassignment.

This video will explain how to distinguish between proper and improper fractions. Thank you for subscribing. 😊