Help your kids build good daily habits, from waking up early to 🌞 brushing their teeth, 🍴 eating breakfast, and 🛏️ going to bed on time, all with this fun animated sing-along song! Introduce children as young as toddler and preschool age to good habits with the Wake Up Song, starring Lucas & Friends! 🥰 The video features a simple nursery rhyme kids can listen to and sing along with, and it shows Lucas, Lilly, Ruby, and Brody doing the things every good kid should do – waking up early, eating healthy food, going to school, and more. 🎯

🤩 Introduce your kids to good habits with this fun sing-along song they'll never forget. ⏰ It's more than just waking up early, it's about having a good, healthy day every day of the week! 💫 The entire rhyme and video is presented in ultra HD 4k for the best possible picture and sound quality. Teach healthy habits to children with this fun song starring Lucas & Friends. 🦁

⦿ Healthy Habits Kids Songs Lyrics:

Wake up early when the sun rises
Eat breakfast and exercise

Wake up early when the sun rises
Eat breakfast and exercise
These are good and healthy habits
that make you happy in the morning

Take a bath, and get dressed well
Pack your bags and go to school

Take a bath, and get dressed well
Pack your bags and go to school
These are good and healthy habits
That makes you clean and clever

Make sure you eat lunch on time
Fruits and veggies with juice in a glass

Make sure you eat lunch On time
Fruits and veggies with juice in a glass
These are good and healthy habits
That make you stronger every day

Go and play with all your friends
Share the slides and the swings

Go and play with all your friends
Share the slides and share the swings
These are good and healthy habits
That keep you fit and happy

Eat your dinner with your family
A Lovely meal with a smiling face

Eat your dinner with your family
A Lovely meal with a smiling face
These are good and healthy habits
A family eats together

Go to bed and watch the sky
Little, Twinkle, Tiny Stars

Go to bed and watch the sky
Little, Twinkle, Tiny Stars
These are good and healthy habits
Now let's all go to a dreamy land

⭐ If our video entertains your child and makes them happy, please hit the LIKE button. SHARE it with your friends and family members so that more and more kids can sing and have fun. 👍 SUBSCRIBE to our channel to watch our other nursery rhymes, kids songs, and educational videos for children and parents. 🔔 And make sure you turn on the bell icon to get notified as soon as our new videos come up. 🔥

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Copyright © RV AppStudios

#kidssongs #kidslearning #healthyhabits #goodhabits

A short video explaining what quantum computers are, how they work, and what you'd need to build one.

Hent materialet her: https://anettekmatematik.com/spring-over-2/

Spring Over er et sjovt lille spil fra min værkstedskasse “Hovedbrud”
Jeg bruger det som et break i undervisningen, som samtidig holder gang i de små grå hos mine elever.
Der går hurtigt sport i at udtænke gode strategier til at løse hele spillepladen, og det er faktisk ikke så let som det ser ud.
Du kan hente spillepladen på min hjemmeside.

God fornøjelse med Spring Over.

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In this video, I show you the step-by-step process for how to multiply whole numbers by a power of ten.

In this video we cover:

Review of the powers of ten
Steps for multiplying a whole number by a power of ten
Finding the exponent index with a power of ten equation

Other Videos Mentioned:
Powers of Ten: https://youtu.be/9bx4ChX82_8

Improved math is a channel created to provide additional instruction on essential math concepts. I’m not a math teacher, I’m an accountant. I know firsthand how important math concepts are in the real world.

Teachers, parents, guardians, homeschoolers, and students can use these videos to help reinforce math skills.

For more information on math topics or for free printable worksheets and answer sheets, you can also visit my website at improvedmath.com

https://www.youtube.com/c/ImprovedMath

https://improvedmath.com

https://www.tiktok.com/@improvedmath1?

https://www.pinterest.com/improvedmath/

#powersoften
#exponents
#multiplyingexponents


Don’t forget to like, share, and subscribe!

This video gives you 4 practice problems for adding mixed numbers that you can work on your own, and then compare your answers against mine.

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Improved math is a channel created to provide additional instruction on essential math concepts. I’m passionate about math and I know first-hand how important math concepts are in the real world.

Teachers, parents, guardians, homeschoolers, and students can use these videos to help reinforce math skills. These math videos are designed to help teach yourself math or provide self-study math tools to assist when additional instruction is needed. Teaching math and learning math has changed the way many students learn in this virtual environment and during the pandemic. Having on-demand math videos can provide math tutoring needed when children are not able to get help from their teachers after school hours or when trying to do math at home.

The library of math tutorials that I create can also be used as supplemental instructional material for homeschool math. Each full-length video comes with a subsequent knowledge check or math practice problems which serve as a virtual math topic worksheet to test your understanding of each skill. These videos can be paused to work out the problems on your own, then unpaused to check your answers. All of these videos can be found under the Knowledge Check playlist.

I also have a library of shorter videos (less than 1 minute in length - shorts) that are quick math tips and tricks on basic math topics. Some of these short math help videos include problems that you can work on yourself and submit your answers in the comments. They are all listed under my Math Tips and Tricks playlist.

Improved math is creating more videos every day to cover topics from 4th grade, 5th grade, 6th grade, and 7th-grade math. The videos focus on fractions, basic math operations, geometry, and ratios but more topics are being added all the time. If there is a specific topic you would like to see covered, drop me a comment in one of my videos and let me know!

Free math help videos will be posted every Thursday and Friday. For additional math resources, check out my math help website at improvedmath.com where I post math worksheets and answers along with additional context on math basics.


Thanks for watching my channel.

#addingmixednumbers
#fractionhelp
#mathhelpvideos
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#selfstudymath
#teachyourselfmath
#mixedfractions

This video contains 4 extra practice problems on finding factors and the greatest common factor to ensure mastery of the concept.

In this video we cover:
- Finding factors for multiple data sets
- Finding the greatest common factor

Other Videos Mentioned:
- Finding Factors and The Greatest Common Factor: https://youtu.be/RaWciR9iyyU

Improved math is a channel created to provide additional instruction on essential math concepts. I’m passionate about math and I know first-hand how important math concepts are in the real world.

Teachers, parents, guardians, homeschoolers, and students can use these videos to help reinforce math skills.

For more information on math topics or for free printable worksheets and answer sheets, you can also visit my website at improvedmath.com

https://www.youtube.com/c/ImprovedMath

https://improvedmath.com

https://www.tiktok.com/@improvedmath1?

https://www.pinterest.com/improvedmath/


Don’t forget to like, share, and subscribe!
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#greatestcommonfactor
#gcf
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#mathhelpvideos

This video is a continuation of my video on Comparing Mixed Numbers and gives you the opportunity to look at 4 examples that you can pause and work through yourself prior to me walking through step by step how to solve them.


Improved math is a channel created to provide additional instruction on essential math concepts. I’m passionate about math and I know first-hand how important math concepts are in the real world.

Teachers, parents, guardians, homeschoolers, and students can use these videos to help reinforce math skills.

For more information on math topics or for free printable worksheets and answer sheets, you can also visit my website at improvedmath.com

https://www.youtube.com/c/ImprovedMath

https://improvedmath.com

https://www.tiktok.com/@improvedmath1?

https://www.pinterest.com/improvedmath/


Don’t forget to like, share, and subscribe!

#mixednumbers
#mixedfractions
#comparingmixednumbers
#comparingmixedfractions
#fractions
#mathtips
#mathhelp
#mathvideos
#homeschoolmath

This video is a virtual math worksheet for solving fractions with exponents. The tutorial gives the viewer 4 practice problems to work on their own and check their answers to mine. Examples include fractions with parentheses as well as fractions without.


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🔴 Share this video with a friend:

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https://www.youtube.com/c/ImprovedMath

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https://www.pinterest.com/improvedmath/


Improved math is a channel created to provide additional instruction on essential math concepts. I’m passionate about math and I know first-hand how important math concepts are in the real world.

Teachers, parents, guardians, homeschoolers, and students can use these videos to help reinforce math skills. These math videos are designed to help teach yourself math or provide self-study math tools to assist when additional instruction is needed. Teaching math and learning math has changed the way many students learn in this virtual environment. Having on-demand math videos can provide math tutoring needed when children are not able to get help from their teachers after school hours or when trying to do math at home.

The library of math tutorials that I create can also be used as supplemental instructional material for homeschool math. Each full-length video comes with a subsequent knowledge check or math practice problems which serve as a virtual math topic worksheet to test your understanding of each skill. These videos can be paused to work out the problems on your own, then unpaused to check your answers. All of these videos can be found under the Knowledge Check playlist.

I also have a library of shorter videos (less than 1 minute in length - shorts) that are quick math tips and tricks on basic math topics. Some of these short math help videos include problems that you can work on yourself and submit your answers in the comments. They are all listed under my Math Tips and Tricks playlist.

Improved math is creating more videos every day to cover topics from 4th grade, 5th grade, 6th grade, and 7th-grade math. The videos focus on fractions, basic math operations, geometry, and ratios but more topics are being added all the time. If there is a specific topic you would like to see covered, drop me a comment in one of my videos and let me know!

Free math help videos will be posted every Thursday and Friday. For additional math resources, check out my math help website at improvedmath.com where I post math worksheets and answers along with additional context on math basics.


Thanks for watching my channel.

#mathhelpvideos
#homeschoolmath
#fractionsworksheet
#exponents
#mathtutorials
#mathresources

#math #maths #homeschoolmath #homeschool #decimals #percent

This video covers how to change a percent into a decimal. When converting a percent into a decimal, you are going to divide by 100. You can quickly do that by moving the decimal to the left 2 spaces. Try the bonus question on turning percents into a decimal and leave me your answer in the comments.


🔴 Subscribe for more free YouTube tips: https://www.youtube.com/c/ImprovedMath

🔴 Share this video with a friend: https://youtu.be/0uVL-Sw2jgY

🔴 Check out this playlist:

✅ For business inquiries contact me at improvedmath@gmail.com

✅ Let's connect:

https://www.youtube.com/c/ImprovedMath

https://www.tiktok.com/@improvedmath1?

https://www.pinterest.com/improvedmath/


Improved math is a channel created to provide additional instruction on essential math concepts. I’m passionate about math and I know first-hand how important math concepts are in the real world.

Teachers, parents, guardians, homeschoolers, and students can use these videos to help reinforce math skills. These math videos are designed to help teach yourself math or provide self-study math tools to assist when additional instruction is needed. Teaching math and learning math has changed the way many students learn in this virtual environment. Having on-demand math videos can provide math tutoring needed when children are not able to get help from their teachers after school hours or when trying to do math at home.

The library of math tutorials that I create can also be used as supplemental instructional material for homeschool math. Each full-length video comes with a subsequent knowledge check or math practice problems which serve as a virtual math topic worksheet to test your understanding of each skill. These videos can be paused to work out the problems on your own, then unpaused to check your answers. All of these videos can be found under the Knowledge Check playlist.

I also have a library of shorter videos (less than 1 minute in length - shorts) that are quick math tips and tricks on basic math topics. Some of these short math help videos include problems that you can work on yourself and submit your answers in the comments. They are all listed under my Math Tips and Tricks playlist.

Improved math is creating more videos every day to cover topics from 4th grade, 5th grade, 6th grade, and 7th-grade math. The videos focus on fractions, basic math operations, geometry, and ratios but more topics are being added all the time. If there is a specific topic you would like to see covered, drop me a comment in one of my videos and let me know!

Free math help videos will be posted every Thursday and Friday. For additional math resources, check out my math help website at improvedmath.com where I post math worksheets and answers along with additional context on math basics.



Thanks for watching my channel.

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✔️ Topics Covered in This Video: Full Chapter Explanation from Class 7 Maths Chapter 2 Fraction and Decimals
=======================================================
00:00 Fraction and Decimals Introduction: Chapter Explanation
01:21 Fractions
02:21 Various Types Of Fractions
23:16 Method Of Changing Unlike Fractions To Like Fractions
25:57 Comparing Fractions
30:13 Method Of Comparing More Than Two Fractions
34:20 Addition And Subtraction Of Fractions
41:55 Multiplication Of Fractions
48:45 Division Of Fractions
01:03:42 Introduction Of Chapter 2
01:04:51 Decimals
01:30:00 Addition And Subtraction Of Decimals
01:37:15 Multiplication Of Decimals
01:40:48 Multiplication Of A Decimals By A Whole Number
01:44:14 multiplication Of A Decimals By A Decimal
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=======================================================
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SIMPLIFICATION BASED ON FRACTION | Viral Maths By Navneet Tiwari #SBI #IBPS #RBI #ESIC
#SBI #IBPS #RBI #ESIC

Welcome to Adda247 - India's Best Government Exam Preparation Channel. Prepare for Bank Exams (RBI Assistant, LIC Assistant, IBPS PO Mains, IBPS Clerk Mains, SBI Clerk, RRB PO, RRB Clerk, RBI Office Attendant, RBI Grade B, LIC, FCI, SEBI, JAIIB), Railway Exams (RRB NTPC, Railway Group D), and SSC Exams (SSC CGL, SSC CHSL, MTS, & CPO).

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BODMAS Fractions Grade 8

YouTube video.

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In this video, you'll learn GED math fractions basic lessons for beginners. Here's what I cover in the video:
-What’s a fraction?
-Numerator and denominator
-3 types of fractions: proper, improper, mixed numbers
-Converting improper fractions to mixed numbers and vice versa
-Fraction decimal equivalents


Release by Ason ID https://soundcloud.com/ason-music
Creative Commons — Attribution 3.0 Unported — CC BY 3.0
Free Download / Stream: https://bit.ly/Release-Ason-ID
Music promoted by Audio Library https://youtu.be/QQCnlV1OJcI
––––––––––––––––––––––––––––––

🎵 Track Info:

Title: Release by Ason ID
Genre and Mood: Dance & Electronic + Happy

This video explains how to add and subtract Fractions.

A song to help kids learn about fractions (numerators, denominators, improper fractions, you know, the good stuff).
Subscribe! ➜ https://www.youtube.com/c/hops....cotchsongs?sub_confi
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...or wherever you listen to music (check your favorite streaming site)!

Voices:
Matt Pace

Song by Matt Pace, & Joanna Pace
Artwork/animation by Rachel Alexandria
Music produced by Matt Pace
Mixed & mastered by Dee Kei Mixes
Title animation by Brenden Nelson

Special thanks to Macey Schlepp, Rachel Kovacs, LeAnne Arnold, Christine Lavallee, LaDale Tobler, Ryan McCarty, Alyssa Wilkes, Natalie Ales, Leilani Nautu, Carolyn Hirz for your educational input!

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Lyrics:
Any whole with equal sized parts
Like a pie, brownies, or a chart
Can be split into fractions to help you find
The parts that you want and the parts you left behind
Whether it’s made of shapes or numbers
There’s a number on top and a number under

1 whole, 1 half, 1 third,
1 fourth, or a quarter, whatever’s preferred
1 fifth, 1 sixth, 1 seventh,
1 eighth, 1 ninth, 1 tenth, 1 eleventh
Twelfths: “Um, hey! What about me?”
And 1 twelfth

The denominator is down
It tells the total number of pieces around
Then the numerator calls out
The number of parts that you’re talkin’ about

2 wholes, 2 halves, 2 thirds,
2 fourths, or quarters, whatever’s preferred
2 fifths, 2 sixths, 2 sevenths,
2 eighths, 2 ninths, 2 tenths, and 2 elevenths
Twelfths: “Yea, I’m… still here.”
And as high as you want to go!

The denominator is down
It tells the total number of pieces around
Then the numerator calls out
The number of parts that you’re talking about

3 wholes, 3 halves, 3 thirds,
3 fourths, or quarters, whatever’s preferred
3 fifths, 3 sixths, 3 sevenths,
3 eighths, 3 ninths, 3 tenths, and 3 elevenths

Everyone:
And 3 twelfths

Copyright © 2023 Hopscotch

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It’s Okay To Be Smart is hosted by Joe Hanson, Ph.D.
Director: Joe Nicolosi
Writer: Joe Hanson, Ph.D.
Creative Director: David Schulte
Editor/animator: Karl Boettcher and Derek Borsheim
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Follow us over to the PBS App or PBS.org to watch Walking with Dinosaurs!
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How did dinosaurs become birds—and what good is half a wing? Join Joe and a few brave chickens as they recreate a brilliant experiment that helps solve one of evolution’s greatest mysteries: the origin of feathered flight.

Thank you to Dr. Jingmai O'Connor from Chicago's Field Museum for helpful discussions and background research

Sources: https://sites.google.com/view/....from-feathers-to-fli

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High fives to all our Brain Trust Patrons:

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I ran one… FOR SCIENCE!

Don’t miss our next video! SUBSCRIBE! ►► http://bit.ly/iotbs_sub

So maybe we can't outrun cheetahs or antelope, but humans are uniquely adapted for long distance running. What does science have to say about marathon running? To find out, (and because I was feeling a little crazy) I decided to run one!

Here's what I discovered about the science of long distance running
Endurance running adaptations: http://upload.wikimedia.org/wi....kipedia/commons/7/7d

For more on the science and evolution of distance running, from training plans to cellular physiology, check out Tim Noakes' "The Lore of Running" http://amzn.to/1eKYir9 and Christopher McDougall's "Born to Run" http://amzn.to/NnF7wb

Joe Hanson - Host and writer
Joe Nicolosi - Director
Amanda Fox - Producer, Spotzen IncKate Eads - Associate Producer
Katie Graham - Director of Photography
Andrew Matthews - Editor and motion graphics
John Knudsen - Gaffer

Music:
"Ouroboros" by Kevin MacLeod

Other music via APM

Stock images via Shutterstock

Produced for PBS Digital Studios
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Join us on Patreon!
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Pre-order our book YOU ARE AN ARTIST (which includes new assignments!) here: http://bit.ly/2kplj2h Sarah and John answer your questions and walk through the many ways to experience and participate in The Art Assignment. They also announce a new Art Assignment Response blog where you can find all past responses categorized by assignment: http://all.theartassignment.com.

Here are the many places online you interact with the project:
YouTube: www.youtube.com/theartassignment
Tumblr MAIN: http://theartassignment.com
Tumblr RESPONSE BLOG: http://all.theartassignment.com
Twitter: www.twitter.com/artassignment
Instagram: www.instagram.com/theartassignment
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Pre-order our book YOU ARE AN ARTIST (which includes new assignments!) here: http://bit.ly/2kplj2h

We visit Assaf Evron in Chicago to consider how photography can help us see the familiar places we visit everyday differently.

INSTRUCTIONS - Blow Up
1. Go to a public place that you pass daily and take a photo, not too close and not too far
2. Download the photo to a computer and look at it for 3 minutes
3. Return to the location and take detail photos of things you noticed while looking at the original
4. Upload your photos and description with #theartassignment
5. Fame and glory (your work might be in a future episode)

Learn more about Assaf's work: https://www.assafevron.com/

Find out more about The Art Assignment and how to submit your response: http://theartassignment.com/

Life on Earth has nearly ended five times, and it may be happening again right now.
From massive volcanic eruptions to deadly asteroids and algae gone wild, mass extinction events have wiped out over 99% of all species that ever lived.

#kurzgesagt
#inanutshell #kurzgesagt_inanutshell #learnwithshorts #science

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I've created an educational product to help people learn chemistry!
You can buy it here: http://www.snatoms.com

Does light take all possible paths at the same time? 🌏 Get exclusive NordVPN deal here ➵ https://NordVPN.com/veritasium It’s risk free with Nord’s 30 day money-back guarantee!✌

A massive thank you to Dr. Andrew Mitchell for all his help and expertise. If you want to delve further into this topic then we highly recommend his lecture on Classical physics derived from quantum mechanics: https://www.youtube.com/watch?v=2iuLwWDYC4U&t=1s

We’re incredibly grateful to Prof. David Kaiser, Prof. Steven Strogatz, Prof. Geraint F. Lewis, Elba Alonso-Monsalve, Prof. Christopher S. Baird, Prof. Anthony Bloch, and Prof. Stephen Bartlett for their invaluable contributions to this video.

A special thanks to Mahesh Shenoy from FloatHeadPhysics for his help with this video. Check out his excellent intuitive video on the UV Catastrophe here (Sep 2024): https://www.youtube.com/watch?v=ALEDjjAVZSY

Sign up to the Veritasium newsletter for weekly science updates - https://ve42.co/Newsletter

▀▀▀
0:00 What path does light travel?
2:40 Black Body Radiation
6:47 How did Planck solve the ultraviolet catastrophe?
9:42 The Quantum of Action
13:25 De Broglie’s Hypothesis
15:16 The Double Slit Experiment
20:00 How Feynman Did Quantum Mechanics
25:01 Proof That Light Takes Every Path
31:16 The Theory of Everything

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Sign up to our Patreon to watch the Q&A for free: https://www.patreon.com/c/veritasium

Try Snatoms! A molecular modelling kit I invented where the atoms snap together.
https://ve42.co/SnatomsV

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References:
Armin Hermann (Nov 1974). The Genesis of Quantum Theory (1899-1913). - https://ve42.co/genquanttheor
Richard P. Feynman (1985). QED The Strange Theory of Light and Matter. - https://ve42.co/qed
A fantastic book on the history of the Principle of Least Action: Rojo, A. and Bloch, A. The
Principle of Least Action: History and Physics. - https://ve42.co/Bloch2018
Coopersmith, J. (2017). The lazy universe: an introduction to the principle of least action. Oxford University Press. - https://ve42.co/LazyU
PBS Space Time. (Nov 2021) - https://www.youtube.com/watch?v=Q_CQDSlmboA
Sabine Hossenfelder. (May 2022) - https://www.youtube.com/watch?v=A0da8TEeaeE
Max Planck (1901). On the Law of Distribution of Energy in the Normal Spectrum. Annalen der Physik - https://ve42.co/lawdistenergy
Paul Ehrenfest (1911). Welche Züge der Lichtquantenhypothese spielen in der Theorie der Wärmestrahlung eine wesentliche Rolle?. Wiley Online Library - https://ve42.co/quantthermrad
Nils-Erik Bomark and Reidun Renstrøm (Aug 2023). The Ultraviolet myth. Proceedings of Science - https://ve42.co/uvmyth
Planck's law. In Wikipedia - https://ve42.co/planckslaw
PBS Space Time. (Jul 2017). - https://www.youtube.com/watch?v=vSFRN-ymfgE&t=10s
Einstein and The Photoelectric Effect. (Jan 2005) via APS News - https://ve42.co/einsteinphotoelec
Louis de Broglie (1924). On the Theory of Quanta. - https://ve42.co/theoryquanta
Larry Sorensen (2012). Path Integrals 1. University of Washington - https://ve42.co/pathintegrals
Feynman’s Method of “A Particle Exploring All Possible Paths”. (Mar 2018) via Pure Dhamma - https://ve42.co/allposspaths

Additional References - https://ve42.co/AdditionalReferences-PoLA2

Images & Video:
Nobistor Altona 1880 via NDR - https://ve42.co/streetlight
Edison incandescent lights by William J. Hammer via Wikimedia Commons - https://ve42.co/edinclights
The full expanded form of the Standard Model Lagrangian by Chen Ning Yang et al. via Wikipedia - https://ve42.co/stmodellang
Muon Ray. (2011). https://www.youtube.com/watch?v=-QUj2ZRUa7c
Muon Ray. (2011). https://www.youtube.com/watch?v=1C7abO7LtV0
Bohrs Atomic Model via EEEGUIDE.COM - https://ve42.co/bohrmodel

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Special thanks to our Patreon supporters:
Adam Foreman, Albert Wenger, Alex Porter, Alexander Tamas, Anton Ragin, Autodidactic Studios, Balkrishna Heroor, Bertrand Serlet, Blake Byers, Bruce, Dave Kircher, David Johnston, David Tseng, Evgeny Skvortsov, Garrett Mueller, Gnare, gpoly, Greg Scopel, Juan Benet, Keith England, KeyWestr, Kyi, Lee Redden, Marinus Kuivenhoven, Matthias Wrobel, Meekay, meg noah, Michael Krugman, Orlando Bassotto, Paul Peijzel, qiaohui wei, Richard Sundvall, Sam Lutfi, Tj Steyn, TTST, Ubiquity Ventures, wolfee

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Directed by Casper Mebius
Written by Casper Mebius and Derek Muller
Edited by Trenton Oliver and Peter Nelson
Animated by Fabio Albertelli, Mike Radjabov, Ivy Tello, Andrew Neet and Emma Wright
Illustrations by Jakub Misiek, Tommy A. Steven and Cainejan Esperanza
Filmed by Derek Muller and Casper Mebius
Produced by Casper Mebius, Derek Muller, Rob Beasley Spence, Gabe Strong, Geeta Thakur, Emilia Gyles, Zoe Heron, Emily Zhang and Tori Brittain

Thumbnail contributions by Ignat Berbeci, Ben Powell, Jakub Misiek, Ren Hurley, and Peter Sheppard

Additional video/photos supplied by Getty Images and Storyblocks
Music from Epidemic Sound

Chaos theory means deterministic systems can be unpredictable. Thanks to LastPass for sponsoring this video. Click here to start using LastPass: https://ve42.co/VeLP
Animations by Prof. Robert Ghrist: https://ve42.co/Ghrist

Want to know more about chaos theory and non-linear dynamical systems? Check out: https://ve42.co/chaos-math

Butterfly footage courtesy of Phil Torres and The Jungle Diaries: https://ve42.co/monarch
Solar system, 3-body and printout animations by Jonny Hyman
Some animations made with Universe Sandbox: https://universesandbox.com/
Special thanks to Prof. Mason Porter at UCLA who I interviewed for this video.

I have long wanted to make a video about chaos, ever since reading James Gleick's fantastic book, Chaos. I hope this video gives an idea of phase space - a picture of dynamical systems in which each point completely represents the state of the system. For a pendulum, phase space is only 2-dimensional and you can get orbits (in the case of an undamped pendulum) or an inward spiral (in the case of a pendulum with friction). For the Lorenz equations we need three dimensions to show the phase space. The attractor you find for these equations is said to be strange and chaotic because there is no loop, only infinite curves that never intersect. This explains why the motion is so unpredictable - two different initial conditions that are very close together can end up arbitrarily far apart.

Music from https://epidemicsound.com "The Longest Rest" "A Sound Foundation" "Seaweed"

The strange natural material that reshaped the world. Sponsored by Ground News -
Go to https://groundnews.com/Ve to see through media misconceptions and get all sides of every story. Subscribe to save 40% off the unlimited Vantage Plan through our link.

If you’re looking for a molecular modelling kit, try Snatoms, a kit I invented where the atoms snap together magnetically - https://ve42.co/SnatomsV

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A huge thanks to Professor James Busfield, Dr. Katrina Cornish, and Dr. Judit Puskas

We’re incredibly grateful to Toby Samples and the team at ARDL for their time and expertise.

Thanks also to Joe Jackson, Dr. Kevin Krause, Dr. Peter Polyak, Donald Shultz, Professor Robert Weiss for all their help on the project.

▀▀▀
0:00 Where does rubber come from?
2:59 What is rubber?
5:10 Why is rubber so stretchy?
6:29 The problem with natural rubber
9:02 Cured Rubber
15:23 Vulcanisation
18:41 What rubber is used in tires?
22:54 How fungi could destroy the world economy
29:17 Synthetic rubber vs natural rubber
38:20 Why are some people allergic to latex?

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References: https://ve42.co/RubberRefs

Images & Video: https://ve42.co/RubberImgRefs

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Special thanks to our Patreon supporters:
Adam Foreman, Albert Wenger, Alex Porter, Alexander Tamas, Anton Ragin, armedtoe, Balkrishna Heroor, Bertrand Serlet, Blake Byers, Bruce, Dave Kircher, David Johnston, David Tseng, Evgeny Skvortsov, Garrett Mueller, Gnare, gpoly, Ibby Hadeed, Jeromy Johnson, Jon Jamison, JT, Juan Benet, Keith England, KeyWestr, Kyi, Lee Redden, Marinus Kuivenhoven, Matthias Wrobel, Meekay, meg noah, Michael Bush, Michael Krugman, Orlando Bassotto, Paul Peijzel, Richard Sundvall, Robert Oliveira, Sam Lutfi, Tj Steyn, Ubiquity Ventures, Walter Flinn, and wolfee.

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Writers - Sulli Yost & Casper Mebius
Producer & Director - Sulli Yost
Editors - Jack Saxon & Peter Nelson
Camera Operators - Adam Bonomo, Jacob Ruocchio-Cole, Henry van Dyck, Thomas Matheis, Derek Muller & Sulli Yost
Animators - Allama Nandi, Andrew Neet, Emma Wright, Ivy Tello, Fabio Albertelli & Rokas Viksraitis
Illustrators - Jakub Misiek & Maria Gusakovich
Assistant Editor - James Stuart
Researchers - HyoJeong Choi, Callum Cuttle & Gabe Strong
Thumbnail Designers - Ren Hurley, Ben Powell & Abdallah Rabah
Production Team - Zoe Heron, Casper Mebius, Josh Pitt, Rob Beasley Spence, Henry van Dyck & Sulli Yost
Executive Producers - Casper Mebius & Derek Muller
Additional video/photos supplied by Getty Images, Pond5
Music from Epidemic Sound