Why are bicycles stable? The most common answer is gyroscopic effects, but this is not right. This video was sponsored by Kiwico. Get 50% off your first month of any crate at https://kiwico.com/veritasium50

Huge thanks to Rick Cavallaro for creating this bike on short notice. Thanks to all the friends who participated in the filming. Rick was also responsible for the Blackbird Faster Than The Wind Downwind Cart. https://youtu.be/jyQwgBAaBag

Much of the information presented here on the stability of a riderless bicycle stems from original research at
Delft http://bicycle.tudelft.nl/schwab/Bicycle/
and
Cornell http://ruina.tam.cornell.edu/r....esearch/topics/bicyc

This line of bicycle-balance research was initiated by Jim Papadopoulos: https://www.nature.com/articles/535338a

Great videos on bikes and counter-steering:

MinutePhysics: How Do Bikes Stay Up? https://youtu.be/oZAc5t2lkvo

MinutePhysics: The Counterintuitive Physics of Turning a Bike: https://youtu.be/llRkf1fnNDM

Why Bicycles Do Not Fall - Arend Schwab TED talk: https://youtu.be/2Y4mbT3ozcA

Today I Found Out: We Still Don't Know How Bicycles Work https://youtu.be/YWsK6rmsKSI

TU Delft - Smart motor in handlebars prevents bicycles from falling over: https://youtu.be/rBOQp2uY_lk

Andy Ruina Explains How Bicycles Balance Themselves: https://youtu.be/NcZCzr9ExKk

▀▀▀
More References:

TU Delft Bicycle Site: http://bicycle.tudelft.nl/schwab/Bicycle/

Bicycle stability program: http://ruina.tam.cornell.edu/r....esearch/topics/bicyc

▀▀▀
Special thanks to Patreon supporters: Luis Felipe, Anton Ragin, Paul Peijzel, S S, Benedikt Heinen, Diffbot, Micah Mangione, Juan Benet, Ruslan Khroma, Richard Sundvall, Lee Redden, Sam Lutfi, MJP, Gnare, Nick DiCandilo, Dave Kircher, Edward Larsen, Burt Humburg, Blake Byers, Dumky, Mike Tung, Evgeny Skvortsov, Meekay, Ismail Öncü Usta, Crated Comments, Anna, Mac Malkawi, Michael Schneider, Oleksii Leonov, Jim Osmun, Tyson McDowell, Ludovic Robillard, Jim buckmaster, fanime96, Ruslan Khroma, Robert Blum, Vincent, Marinus Kuivenhoven, Alfred Wallace, Arjun Chakroborty, Joar Wandborg, Clayton Greenwell, Michael Krugman, Cy 'kkm' K'Nelson,Ron Neal

▀▀▀
Written by Derek Muller
Filmed by Trenton Oliver, Raquel Nuno and Derek Muller
Edited by Derek Muller
Music from Epidemic Sound and Jonny Hyman
Produced by Derek Muller, Petr Lebedev and Emily Zhang

Click to Attempt the QUIZ - https://www.aatoonskids.com/me....ntal-maths-quiz-for-

In this mental maths quiz for kids, you will have to answer questions about basic maths concepts. This maths quiz for kids will help you improve your maths skills and Knowledge.

This quiz is perfect for kids who are looking to improve their maths skills. You will have to answer questions about basic maths concepts, like addition, subtraction, multiplication, and division. Try this quiz today and see how you fair!

Remember to share this quiz with your friends and family! We'd love to see your results!

Make sure to check out our other fun quizzes, mental maths quiz for kids, maths trivia for kids, and math solver for kids!

Quiz Time | Mental maths Quiz for Kids | Maths Trivia for Kids | Solve maths Quiz | @AAtoonsKids

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Proving that vertical angles are equal

Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/ang_intro/e/congruent_angles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry

Watch the next lesson: https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/ang_intro/v/angles-formed-by-parallel-lines-and-transversals?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry

Missed the previous lesson?
https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/ang_intro/v/using-algebra-to-find-the-measures-of-vertical-angles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry

Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry.

About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.

For free. For everyone. Forever. #YouCanLearnAnything

Subscribe to Khan Academy’s Geometry channel:
https://www.youtube.com/channe....l/UCD3OtKxPRUFw8kzYl
Subscribe to Khan Academy: https://www.youtube.com/subscr....iption_center?add_us

Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/ma....th/arithmetic-home/m

Understanding why lattice multiplication works

Watch the next lesson: https://www.khanacademy.org/math/arithmetic/multiplication-division/partial_quotient_division/v/partial-quotient-division?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic

Missed the previous lesson?
https://www.khanacademy.org/math/arithmetic/multiplication-division/lattice_multiplication/v/lattice-multiplication?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic

Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started?

About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.

For free. For everyone. Forever. #YouCanLearnAnything

Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channe....l/UCFlJkgTNeC-FYYIQn
Subscribe to KhanAcademy: https://www.youtube.com/subscr....iption_center?add_us

Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/vectors/e/unit-vector?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra

Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/vectors/v/linear-algebra-parametric-representations-of-lines?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra

Missed the previous lesson?
https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/vectors/v/linear-algebra-vector-examples?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra

Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra.

About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.

For free. For everyone. Forever. #YouCanLearnAnything

Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channe....l/UCGYSKl6e3HM0PP7QR
Subscribe to KhanAcademy: https://www.youtube.com/subscr....iption_center?add_us

In this episode, Dan and Ray explore how AI is rapidly reshaping education, workplaces, and policy - often faster than institutions can respond.

They unpack new guidance from NSW’s NESA on student AI use, highlighting the growing tension between rules, real-world behaviour, and the need for clearer, more consistent policies across education systems.

The conversation expands globally with insights from the 2026 Stanford AI Index Report, revealing that while over 80% of students are already using AI, formal education and policy frameworks are struggling to keep pace. The distinction between 'AI in education', 'AI literacy', and 'AI education' becomes critical for understanding what schools and universities could actually be building.

They also discuss emerging tools like Adobe Student Spaces, evolving AI workflows using tools like Claude and Copilot, and new data showing Australians are among the most advanced AI users globally.

Finally, they revisit “real AI” use cases - specifically wildlife (crocs, turtles and quokkas) detection in Australia - as a reminder that AI’s impact extends far beyond chatbots.

News items discussed

NSW NESA's "Use of Artificial Intelligence by students" rules
https://www.nsw.gov.au/educati....on-and-training/nesa

Adobe Student Spaces
https://acrobat.adobe.com/studentspaces/home 

The 2026 AI Index Report from Stanford University Human-Centred Artificial Intelligence (HAI) centre
https://hai.stanford.edu/ai-in....dex/2026-ai-index-re

Anthropic came Down Under
https://www.anthropic.com/rese....arch/how-australia-u
https://www.anthropic.com/news/australia-MOU 

AI crocodile detection trials begin in north Queensland
https://www.abc.net.au/news/20....26-03-26/ai-crocodil
Related stories from the past:
Scientists use drones, cloud, and AI to protect Australia’s Quokkas
https://news.microsoft.com/apa....c/features/preservin
Indigenous knowledge and AI help protect baby turtles from predators on Australia’s remote Cape York
https://news.microsoft.com/apa....c/features/indigenou
Strengthen your research workflow with generative AI
https://techcommunity.microsof....t.com/blog/skills-hu

It can be daunting to move from the abstract idea stage to the realm of bank accounts, taxes, and liability. Sometimes, it can feel like you’re making arbitrary decisions, but we’re going to wade through the legalese together. Things are about to get legit.

Click here for the chart!
https://www.patreon.com/posts/crash-course-29734204?utm_medium=post_notification_email&utm_source=post_link&utm_campaign=patron_engagement
***

Crash Course is on Patreon! You can support us directly by signing up at http://www.patreon.com/crashcourse

Thanks to the following patrons for their generous monthly contributions that help keep Crash Course free for everyone forever:

Eric Prestemon, Sam Buck, Mark Brouwer, Indika Siriwardena, Avi Yashchin, Timothy J Kwist, Brian Thomas Gossett, Haixiang N/A Liu, Jonathan Zbikowski, Siobhan Sabino, Zach Van Stanley, Jennifer Killen, Nathan Catchings, Brandon Westmoreland, dorsey, Kenneth F Penttinen, Trevin Beattie, Erika & Alexa Saur, Justin Zingsheim, Jessica Wode, Tom Trval, Jason Saslow, Nathan Taylor, Khaled El Shalakany, SR Foxley, Yasenia Cruz, Eric Koslow, Caleb Weeks, Tim Curwick, David Noe, Shawn Arnold, Andrei Krishkevich, Rachel Bright, Jirat, Ian Dundore
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Discover how educators are transforming classrooms with Google Gemini! In this exclusive video, I connect with Jennie Magiera, Global Head of Education Impact at Google and author of Courageous Edventures, to explore 10 powerful Gemini tips you can start using today. From lesson planning to personalized feedback, gamifying learning, creating newsletters, and even building podcasts—these tips are packed with real classroom applications.

Whether you're new to Gemini or looking for fresh ideas, this video is full of time-saving strategies that boost creativity and student engagement.

⏱️ Timestamps:
0:00 Introduction
1:31 Learning Science Principles
2:03 Generate a new lesson & Differentiate existing
2:53 Create assessments based on lesson
4:10 Give tailored feedback to students
5:03 Synthesize information
6:46 Learning Coach Gem
7:37 Gems to Gamify
8:40 Create PD content
9:15 Draft an agenda
9:47 Create a newsletter
11:12 Create a podcast

Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/precalculus/precalc-matrices/matrix-equations/e/writing-systems-of-equations-as-matrix-equations?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus

Watch the next lesson: https://www.khanacademy.org/math/precalculus/precalc-matrices/reduced_row_echelon/v/matrices-reduced-row-echelon-form-1?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus

Missed the previous lesson?
https://www.khanacademy.org/math/precalculus/precalc-matrices/matrix-equations/v/matrix-equations-systems?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus

Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus!

About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.

For free. For everyone. Forever. #YouCanLearnAnything

Subscribe to Khan Academy’s Precalculus channel:
https://www.youtube.com/channe....l/UCBeHztHRWuVvnlwm2
Subscribe to Khan Academy: https://www.youtube.com/subscr....iption_center?add_us

“Bloomberg: The China Show” is your definitive source for news and analysis on the world's second-biggest economy. From politics and policy to tech and trends, David Ingles and Stephen Engle give global investors unique insight, delivering in-depth discussions with the newsmakers who matter.

Chapters:
00:00:01 - Bloomberg: The China Show opens
00:03:00 - What to watch in China today
00:04:15 - Trump in dispute with Colombia over deported migrants
00:09:01 - Trump's tariffs, Chinese AI startup DeepSeek in focus
00:15:33 - China boosts index investments
00:21:44 - Breaking: China's factory activity slows ahead of Lunar New Year
00:27:39 - Hang Lung Properties' Adriel Chan on company earnings
00:39:20 - 'Magnificent Seven' set to report Earnings
00:43:55 - Breaking: US stock futures sink as China's DeepSeek sparks tech worries
00:50:15 - Capital's Kyle Rodda on DeepSeek, US tech stocks outlook
01:02:54 - DeepSeek spurs rally in Chinese AI shares with advanced model
01:10:49 - China Decoded: Distressed developers in focus
01:13:41 - Blue Mountain Bridge Capital's Raymond Chan on China's distressed developer debt
--------
More on Bloomberg Television and Markets

Like this video? Subscribe and turn on notifications so you don't miss any videos from Bloomberg Markets & Finance: https://tinyurl.com/ysu5b8a9
Visit http://www.bloomberg.com for business news & analysis, up-to-the-minute market data, features, profiles and more.

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Bloomberg Podcasts: https://www.youtube.com/@BloombergPodcasts

Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/trig-symmetry-periodicity/e/symmetry-and-periodicity-of-trig-functions?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry

Watch the next lesson: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/trig-symmetry-periodicity/v/tan-symmetries-unit-circle?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry

Missed the previous lesson?
https://www.khanacademy.org/math/trigonometry/trig-function-graphs/long_live_tau/v/pi-is-still-wrong?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry

Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials!

About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.

For free. For everyone. Forever. #YouCanLearnAnything

Subscribe to Khan Academy’s Trigonometry channel:
https://www.youtube.com/channe....l/UCYQSs1lFJZKpyqNQQ
Subscribe to Khan Academy: https://www.youtube.com/subscr....iption_center?add_us

Learn how chatbots work and how to build one for your business in this case study.

AI Casefile Playlist: https://www.youtube.com/watch?v=zKGhV-I250o&list=PL5oju95YSpTV69RmprRJV_YUswBJo2799

AI chatbots aren’t just for tech experts anymore. With the right tools and guidance, anyone can build a chatbot that answers questions, automates tasks, and improves customer experience.

Looking for an easy way to get started with AI education and build your own chatbot—without needing to code? You’re in the right place. In this video, we follow Olivia, a customer service professional, as she explores how AI chatbots can transform everyday work and help her grow her career. Whether you’re working in retail, freelancing, or just curious about automation, this AI education chatbot tutorial is the perfect entry point.

Olivia learns step-by-step how to create a chatbot using IBM Watsonx Assistant—no coding required. This AI education chatbot journey shows you how to go from complete beginner to confident chatbot builder.

If you've ever searched for “how to make money with AI”, “AI tools for work,” or “chatbot training tutorial,” this video is for you. We break it down in clear, simple steps so you can start your own AI education chatbot project today. Stick around to learn how to deploy your bot on websites, mobile apps, and even Facebook Messenger.

Meet Olivia, a 25-year-old working in customer service and bookkeeping at a small flower shop that serves customers both in-store and online. She’s sharp, organized, and well-liked—but like many, she’s hearing the buzz: “AI is coming for your job.”

Instead of panicking, Olivia gets curious.

She starts with the basics: What is a chatbot? A chatbot is a digital assistant that simulates human conversation. It can answer FAQs, provide information, and even help customers choose the perfect bouquet. By automating these repetitive tasks, Olivia realizes she can save time, reduce errors, and focus on meaningful parts of her job.

But Olivia doesn’t stop at basic replies. She discovers action workflows—smart sequences that let her chatbot guide users through tasks like finding store hours or making product suggestions. These workflows are driven by action variables (temporary data used during a task) and session variables (data that persists across conversations). This combo creates more intelligent and user-friendly interactions.

As she dives deeper, Olivia learns about decision-tree bots (structured and predictable) vs. generative AI bots (flexible and conversational). By blending both, she designs a hybrid assistant that feels responsive and personal.

Using IBM Watsonx Assistant, Olivia builds, tests, and deploys her chatbot across web, mobile, and messaging apps. With no need to code, she customizes the design, integrates APIs, and even installs the chatbot on her shop’s WordPress blog. Now, her assistant handles orders, answers questions 24/7, and improves customer satisfaction.

Along the way, Olivia answers key questions many people ask:

How do chatbots actually work?

Do I need to be a developer to use one?

Can chatbots help me at my job or business?

How can I earn or save money with AI?

The answer? Yes. Olivia’s story shows that chatbots aren’t job-stealers—they’re power tools. Whether you work in retail, support, freelancing, or run a side hustle, a well-trained chatbot can save hours, scale your service, and increase earnings.


#NoCodeAI

#aichatbots

#officework

#worksmarterwithai

#aieducation #learnai

#aiforbusiness #casestudy

Let's be honest—staring at a blank Google Slide is the worst part of making a presentation. You waste so much time on formatting, themes, and finding images before you even write the content.

But what if AI could do 80% of the grunt work for you?

In this video, I show you exactly how to use the new "Canvas" mode in Gemini to generate a complete, beautifully designed Google Slides presentation from a single prompt. We'll even generate a full talk track to go with it!

From the initial idea to a fully editable deck, this new feature is an absolute game-changer.

CHAPTERS:
(00:00) Intro: The Problem & The Solution
(01:08) Access "Canvas" & Generate a Presentation
(04:09) Advanced Tip: Uploading Files
(05:49) Review Draft & Generate a Talk Track
(08:07) Export to Google Slides & Final Polish
(11:02) Final Thoughts

#GoogleSlides #Gemini #AITutorial #Productivity #GenerativeAI #GoogleWorkspace #techtutorial
Music from #Uppbeat
https://uppbeat.io/t/sky-gienger/a-peaceful-day

What do you know about the country of Mexico? Did you know its official name is the United Mexican States? In All about Mexico for Kids, you and your students will learn a lot about the country's rich history. In fact, lots of really cool remnants of the past, such as ancient cities and pyramids. Lots of them are part of modern cities and towns.

Mexico's terrain is pretty diverse, from high mountains and plateaus to low coastal plains and deserts. Some parts are tropical, so the climate ranges from temperatures typical of deserts to those common to rainforests. The country borders Guatemala and Belize in the southeast and the states of California, Arizona, New Mexico, and Texas in the north. It also touches the Pacific Ocean, the Gulf of Mexico, and the Caribbean Sea.

There are lots of different kinds of animals that live in this country. Mexico actually boasts the most reptiles than any other place in the world. If you visit Mexico, you might find jaguars, pumas, iguanas, lizards, monkeys, or parrots. Of course, it would depend where you are in the country since the habitats are diverse. In the nearby sea or ocean, you might see whales, manta rays, or manatees!

The history of this beautiful country is usually divided into three general periods: early, middle, and recent. The Early period included several ancient societies and civilizations, such as the Olmecs, Mayans, and Aztecs. The Olmecs were the first known society, which existed starting in 1200 BC. The Middle period lasted from around 1519 to 1810. In 1810, which marks the start of Mexico's recent history, a rebel leader and others collaborated to gain Mexico's independence.

We hope you and your student(s) enjoyed learning about this fun country and its history! If you want even more information, head over to our website and download one of our many free lesson plans, full of activities, worksheets, and more!

https://learnbright.org/lesson....s/social-studies/all
https://learnbright.org/lesson....s/social-studies/his
https://learnbright.org/lesson....s/social-studies/can

What you will learn in All about Mexico for Kids:
0:00 Introduction to the country of Mexico
0:37 Interesting fact about the population
1:16 Terrain and geography
2:39 Animals that live in Mexico
3:11 History of Mexico—Early period
4:32 Middle period begins in 1519
5:08 Recent period begins in 1810
6:26 Tourism and landmarks
7:35 Teotihuacán
8:11 Review of the facts

Thank you for watching and learning with us! We’re constantly releasing new content and videos, so click that “Subscribe” button and you’ll get notified.

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*Teachers and Parents! Did you know? In addition to these great videos, we have also created a library of high-quality and engaging lessons for your elementary aged student(s). Visit us and sign up for a free account, and you'll instantly have access to thousands of lesson plans, learning materials, teaching instructions, activities, and assignments that your kids will really enjoy! We hope to see you soon!

Browse our entire collection of Social Studies lesson plans: https://learnbright.org/lessons/?filter_subject=social-studies

#Mexico
#NorthAmerica

Learn how to copy and paste math equations from Gemini to Microsoft Word without breaking formatting.

Useful Links:
AI Chat to Word extension-https://chromewebstore.google.....com/detail/ai-chat-t

If you’ve ever tried copying equations from Gemini into Word and faced symbol changes, broken formulas, or lost formatting — this tutorial shows the correct one-click solution.

In this quick demo, you’ll see how to export math equations, symbols, and formulas directly from Gemini into a properly formatted Word document using an extension — no manual copy-paste required.

This method works perfectly for students, teachers, researchers, engineers, and professionals who work with mathematical content in Microsoft Word.

What You’ll Learn:

✅ Why copying math equations from Gemini to Word breaks formatting
✅ How to install the Gemini export extension
✅ How to export a single math equation to Word
✅ How to export all math equations into one Word document
✅ How to exclude user prompts and export only Gemini responses
✅ How equations stay intact — symbols, structure, and layout
✅ How to avoid copy-paste errors when working with formulas

Why Use This Method?

Accurate Equations – No symbol changes or broken formulas
One-Click Export – No manual fixing inside Word
Professional Output – Clean, editable Word documents
Time-Saving – Export single or multiple equations instantly
Perfect for Academic Work – Assignments, research papers, reports

Share Your Thoughts:

Have you faced formatting issues when copying equations before?
Tell us in the comments!

If this tutorial helped you, like the video and subscribe for more Gemini, Word, and productivity tutorials.

#GeminiAI #MathEquations #MicrosoftWord #ProductivityTips

Can you take a derivative only partway? Is there any meaning to a "half-derivative"? Does such a concept even make sense? And if so, what do these fractional derivatives look like?


Previous video about Cauchy's Formula for Repeated Integration:
https://youtu.be/jNpKKDekS6k

A really nice video that derives the gamma function from scratch:
https://youtu.be/v_HeaeUUOnc


=Chapters=
0:00 - Interpolating between polynomials
1:16 - What should half derivatives mean?
3:56 - Deriving fractional integrals
8:22 - Playing with fractional integrals
9:12 - Deriving fractional derivatives
13:53 - Fractional derivatives in action
16:19 - Nonlocality
17:54 - Interpreting fractional derivatives
18:51 - Visualizing fractional integrals
22:10 - My thoughts on fractional calculus
23:10 - Derivative zoo


===============================
MAIN SOURCES USED FOR THIS VIDEO

Podlubny, Igor. Fractional Differential Equations: An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of Their Solution and Some of Their Applications. Academic Press, 1999

Podlubny, I.: "Geometric and physical interpretation of fractional integration and fractional differentiation." Fractional Calculus and Applied Analysis, vol. 5, no. 4, 2002, pp. 367--386.
- (for the visualization trick for fractional integrals)

Edmundo Capelas de Oliveira, José António Tenreiro Machado, "A Review of Definitions for Fractional Derivatives and Integral", Mathematical Problems in Engineering, vol. 2014, Article ID 238459, 6 pages, 2014. https://doi.org/10.1155/2014/238459
- (for the zoo of alternative fractional derivatives)


===============================
Minor correction: The footnote at 7:34 should say the trig substitution produces another *whole* factor of pi (not a root pi) in the numerator which then cancels the *two* root(pi)'s that appear in the denominator from applying the half integral formula twice.


===============================
CREDITS

This video uses the song "Rubix Cube" coming courtesy of Audionautix.com


===============================
Want to support future videos? Become a patron at https://www.patreon.com/morphocular
Thank you for your support!


===============================
The animations in this video were mostly made with a homemade Python library called "Morpho". If you want to play with it, you can find it here:
https://github.com/morpho-matters/morpholib


===============================
This video is part of the 3Blue1Brown Summer of Math Exposition 2 (#SoME2). You can find out more about it here:
https://summerofmathexposition.....substack.com/p/the-

This algebra video tutorial explains how to solve quadratic equations by completing the square. Here are some other youtube videos with more example problems:

How To Solve Simple Quadratic Equations: https://www.youtube.com/watch?v=-KWsS2FZVTA

Solving Quadratic Equations By Factoring:
https://www.youtube.com/watch?v=qeByhTF8WEw

How To Factor Difficult Quadratic Equations:
https://www.youtube.com/watch?v=VG1luiL_INQ

Solving QE By Completing The Square:
https://www.youtube.com/watch?v=WOb25i8FBBw

Solving Equations In Quadratic Form:
https://www.youtube.com/watch?v=eWjixwGK3YM

Sum and Products - Quadratic Equations:
https://www.youtube.com/watch?v=kBSj35rik8w

_______________________________________
How To Calculate The Discriminant:
https://www.youtube.com/watch?v=6fU9ZgwbU74

Standard Form to Vertex Form:
https://www.youtube.com/watch?v=pf9LkX8hpTQ

Graphing Quadratic Functions:
https://www.youtube.com/watch?v=H8OQtxSRe_k

How To Find The Axis of Symmetry:
https://www.youtube.com/watch?v=tyzd4VujaqY

Graphing Quadratic Functions - Vertex Form:
https://www.youtube.com/watch?v=OHH7fX_M8Ns

Graphing QF in Standard Form:
https://www.youtube.com/watch?v=uYNKJWFYh7k

___________________________________________
Writing Quadratic Equations:
https://www.youtube.com/watch?v=SB6eCyG4GEA

Maximum and Minimum Word Problems:
https://www.youtube.com/watch?v=d5YktqR-4FU

Systems of Quadratic Equations:
https://www.youtube.com/watch?v=rq5AjFs95qw

Systems of Nonlinear Equations:
https://www.youtube.com/watch?v=JPdLEaxlnZQ

Quadratic Inequalities:
https://www.youtube.com/watch?v=_gWjLKsFOPE

Quadratic Equations - Test Review:
https://www.youtube.com/watch?v=fFFA7Q4eVuY

___________________________________________
Final Exams and Video Playlists:
https://www.video-tutor.net/

Full-Length Videos and Worksheets:
https://www.patreon.com/MathSc....ienceTutor/collectio

Can you figure out the rule?
Did you see the exponents pattern? http://youtu.be/AVB8vRC6HIY
Why do you make people look stupid? http://bit.ly/12Fmlpl

How do you investigate hypotheses? Do you seek to confirm your theory - looking for white swans? Or do you try to find black swans? I was startled at how hard it was for people to investigate number sets that didn't follow their hypotheses, even when their method wasn't getting them anywhere.

In the video I say "when people came to Australia..." by which I meant, "when Europeans who believed all swans were white came to Australia..." I did not mean any offence to Indigenous Australians who were already in Australia at that time. Please accept my apologies for the poor phrasing if you were offended by it.

This video was inspired by The Black Swan by Nassim Taleb and filmed by my mum. Thanks mum!

Partly my motivation came from responses to my Facebook videos - social media marketers saying 'Facebook ads have worked for me so there can't be fake likes.' Just because you have only seen white swans, doesn't mean there are no black ones. And in fact marketers are only looking for white swans. They think it was invalid of me to make the fake Virtual Cat page: 'well of course if it's a low quality page you're going to get low quality likes.' But my point is this is black swan bait, something they would never make because their theory is confident in the exclusive existence of white swans.

Hello teachers and hi everyone welcome to my channel.In this video iam sharing you a video for teaching and introducing numbers to our tiny outs with rhyme with action.
Follow this teaching demo to crack your interview in any school.
All the best.👍🤗

Lyrics

One stroke down we have the one
One stroke down we have the one
One stroke down we have the one
to make the number one.

Half a circle sleeping line
Half a circles sleeping line
Half a circle sleeping line
to make the number two

Half a circle, half a circle
Half a circle,half a circle
Half a circle,half a circle
to make the number 3

Standing ,sleeping,standing line
standing ,sleeping , standing line
Standing,sleeping,standing line
to make the number 4

Sleeping,standing,half a circle
Sleeping,standing,half a circle
Sleeping,standing,half a circle
to make the number 5

C curve and circle in
C curve and circle in
C curve and circle in
to make the number 6

Sleeping line and slanting line
Sleeping line and slanting line
sleeping line and slanting line
to make the no.7

C curve it goes up
C curve it goes up
C curve it goes up
to make the number 8

Small a circle, standing line
small a circle,standing line
small a circle, standing line
to make the number 9

Helpful videos for Teachers and Everyone 👇

Teacher’s needful videos
https://youtube.com/playlist?l....ist=PLqPejaVrtycFQZj
Demo Teaching for Teachers for an Interview
https://youtube.com/playlist?l....ist=PLqPejaVrtycGR02
Warm Up songs and activities for teachers
https://youtube.com/playlist?l....ist=PLqPejaVrtycETu_
Classroom English for teachers
https://youtube.com/playlist?l....ist=PLqPejaVrtycHq-W
Ideas and activities for students and teachers for different occasion
https://youtube.com/playlist?l....ist=PLqPejaVrtycEf6r
Speech for different events & occasion
https://youtube.com/playlist?l....ist=PLqPejaVrtycHijE
Rhymes with action for teachers and parents
https://youtube.com/playlist?l....ist=PLqPejaVrtycHppK
Videos for Parents
https://youtube.com/playlist?l....ist=PLqPejaVrtycGeui

Happy Teaching
Love you teachers....💓💓💓
#TeachingDemoForKindergarten #TeachingDemoForPreschool #Democlassfornursery
#Teachingdemoformathclass












































































































































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Don't forget to follow along or check out this really helpful YouTube Channel for art lessons: "Art for Kids Hub"
Please visit their animal artworks playlist for some really good art tutorials for the little ones (elementary or any grade level). For example, the cheetah tutorial, monarch butterfly tutorial, peacock, or the toucan are all good videos to use as a substitute art lesson!
Just type into the youtube search bar, "art for kids hub" along with the name of an animal that you want to draw, and suggested videos will show up (:
Feel free to let me know if you have any questions! As always, thank you for watching.