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 kilogram, mole, kelvin, and ampere will be redefined by physical constants. For a limited time, get 3 months of Audible for just $6.95 a month: http://audible.com/VERITASIUM or text VERITASIUM to 500500

Will this be the last video I make about SI units? Quite possibly. There's something about being so precise and defining the systems within which science works. When we can more accurately and routinely measure a kilogram, a mole, a kelvin and an ampere, then we can make better observations, we can better detect anomalies and improve our theories. That is why this is so important to me.

Special thanks to Patreon supporters:
Donal Botkin, Michael Krugman, Ron Neal, Nathan Hansen, James M Nicholson, Terrance Shepherd, Stan Presolski

Special thanks to NIST: http://nist.gov

Additional graphics by Ignat Berbeci

Music from http://epidemicsound.com "Experimental1"

#A-HA#FESTIVALDEVIÑA #VIÑA

No olvides suscribirte y activar la campanita para ser el primero en ver los nuevos videos de los mejores artistas del Festival de Viña del Mar #VIÑA #ViveViña

? Sólo los más grandes artistas qué han estado en #VIÑA reviven en el Canal Histórico del Festival Internacional de la Canción de Viña del Mar...Suscríbete! y síguenos en:

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"Las cintas originales del Festival Internacional de la Canción de Viña del Mar se encuentran resguardados en el Archivo Histórico Patrimonial de la I. Municipalidad de Viña del Mar, Chile."

Viña del Mar tiene Festival todo el año !!
http://www.vinadelmarchile.cl
http://www.ciudaddeldeporte.com

A-HA live Hunting High and Low in London Royal Albert Hall 5 november 2019

Spinning objects have strange instabilities known as The Dzhanibekov Effect or Tennis Racket Theorem - this video offers an intuitive explanation.
Part of this video was sponsored by LastPass, click here to find out more: https://ve42.co/LP

References:
Prof. Terry Tao's Math Overflow Explanation: https://ve42.co/Tao

The Twisting Tennis Racket
Ashbaugh, M.S., Chicone, C.C. & Cushman, R.H. J Dyn Diff Equat (1991) 3: 67. https://doi.org/10.1007/BF01049489

Janibekov’s effect and the laws of mechanics
Petrov, A.G. & Volodin, S.E. Dokl. Phys. (2013) 58: 349. https://doi.org/10.1134/S1028335813080041

Tumbling Asteroids
Prave et al. https://doi.org/10.1016/j.icarus.2004.07.021

The Exact Computation of the Free Rigid Body Motion and Its Use in Splitting Methods
SIAM J. Sci. Comput., 30(4), 2084–2112
E. Celledoni, F. Fassò, N. Säfström, and A. Zanna
https://doi.org/10.1137/070704393

Animations by Iván Tello and Isaac Frame

Special thanks to people who discussed this video with me:
Astronaut Don Pettit
Henry Reich of MinutePhysics
Grant Sanderson of 3blue1brown
Vert Dider (Russian YouTube channel)

Below is a further discussion by Henry Reich that I think helps summarize why axes 1 and 3 are generally stable while axis 2 is not:

In general, you might imagine that because the object can rotate in a bunch of different directions, the components of energy and momentum could be free to change while keeping the total momentum constant.

However, in the case of axis 1, the kinetic energy is the highest possible for a given angular momentum, and in the case of axis 3, the kinetic energy is the lowest possible for a given angular momentum (which can be easily shown from conservation of energy and momentum equations, and is also fairly intuitive from the fact that kinetic energy is proportional to velocity squared, while momentum is proportional to velocity - so in the case of axis 1, the smaller masses will have to be spinning faster for a given momentum, and will thus have more energy, and vice versa for axis 3 where all the masses are spinning: the energy will be lowest). In fact, this is a strict inequality - if the energy is highest possible, there are no other possible combinations of momenta other than L2=L3=0, and vice versa for if the energy is the lowest possible.

Because of this, in the case of axis 1 the energy is so high that there simply aren't any other possible combinations of angular momentum components L1, L2 and L3 - the object would have to lose energy in order to spin differently. And in the case of axis 3, the energy is so low that there likewise is no way for the object to be rotating other than purely around axis 3 - it would have to gain energy. However, there's no such constraint for axis 2, since the energy is somewhere in between the min and max possible. This, together with the centrifugal effects, means that the components of momentum DO change.

Just as the title says.
*A cover of one of A-Ha's ace songs*

This is what a nuclear disaster area looks like.
Check out Audible: http://bit.ly/AudibleVe
Broadcast locations and times:

North America: PBS, July 28 & 29 @ 10pm ET / 9pm Central
Europe: ZDF/arte, July 31 @ 10pm
Australia: SBS, August 6, 13, 20 @ 8:30pm EST

Not broadcast in your country? Contact your local broadcaster and/or email www.genepoolproductions.com

Music by Kevin Macleod http://incompetech.com 'Come Play With Me' & 'Lost Frontier'

1985 H.u.n.t.i.n.g High And Low

A pedido de alguns inscritos já está disponível para download ou envio pelo correio as coletâneas anos 70’s, com 27 discos e anos 80’s com 32 discos, ambas com sucessos que marcaram época.
Sem cortes ou direitos autorais. São aproximadamente 1200 músicas em formato mp3.
Maiores informações e valores entre em contato pelo e-mail: dozeinfocel@gmail.com

Quer ouvir estas e outras músicas do canal sem interrupção, 24 horas por dia? Acesse nossa rádio web: https://zeno.fm/radio-canal-rb

***Devido ao bloqueio de alguns álbuns do canal pelos direitos autorais não sendo possível a visualização dos mesmos como público, estaremos colocando a descrição e tempo das faixas nos comentários***

- Espero que curtam, gostem e compartilhem, pois, assim fazendo nos ajudará no crescimento do canal.

- Aproveito para agradecer, pois graças a vocês passamos dos 10 mil inscritos.

- Muito obrigado!

#10KCreator!
@R.B

- Que Deus abençoe a todos! Forte abraço.

*Talvez os direitos autorais, após a publicação do vídeo restrinja a publicação de alguma canção, por isto e se isto vier a acontecer, nos desculpem*.

At the Rock in Rio II festival in January 1991, a-ha shocked the international entertainment press by drawing an audience of 198,000 at Maracanã Stadium for their top-billed evening concert - a Guinness World Record for paying audiences.
Widescreened/upscaled 720p from VHS

Royal albert hall London a-ha 2010 Hunting high and low album full live performance HD
Blue sky 0:40
Love is reason 3:23
Train of thought 6:24
Hunting high and low 11:01
Living a boy's adventure tale 15:28
And you tell me 20:27
The sun always shines on tv 23:24
Here I stand and face the rain 28:46
I dream myself alive 35:20
Take on me 39:32

I always wanted to know why film looked better than video. Moving electronic images have as long a history but were invented for a different purpose. This video was sponsored by B&H Photo: https://www.bhphotovideo.com

Huge thanks to:

Richard Diehl, Video Labguy https://www.youtube.com/user/videolabguy
https://www.labguysworld.com

Branch Education for awesome animations
https://ve42.co/BranchEd

Minutephysics for mechanical TV animations
https://www.youtube.com/minutephysics

Mark Schubin
Engineer and explainer, SMPTE Life Fellow
https://www.smpte.org

This is a video I've long wanted to make, about what makes video look like video and, up until 10 years ago or so, not as appealing as film. I grew up with the two technologies (film and video) in parallel and to me they always seemed like two ways of achieving the same ends: recording and replaying moving images. But their histories are quite distinct. Film was always a way to capture moving images for later replaying. Video started out as a way to transfer images from one place to another instantaneously. This dates back to the first fax machine, mechanical TV, live broadcast tv and ultimately videotapes. This history focuses on the early decades of video and not the more recent switches to chip cameras and solid state storage. Maybe that's a story for another day.

Additional resources and references:

The Dawn of Tape: Transmission Device as Preservation Medium
https://ve42.co/dawnoftape

What Sparked Video Research in 1877? The Overlooked Role of the Siemens Artificial Eye
https://ve42.co/sparkvideo

Video Preservation Website:
http://videopreservation.conservation-us.org

Image Orthicon Tube:
http://interiorcommunicationse....lectrician.tpub.com/

Film vs Digital
https://stephenfollows.com/film-vs-digital/

Eyes of a Generation:
http://eyesofageneration.com

Television in the US:
http://www3.northern.edu/wild/th100/tv.htm

http://www.classictvinfo.com

Music from https://www.epidemicsound.com "Seaweed" "Capture a Picture 1" "Colorful Animation 4"

Partes desse DVD É O Registro Do Último Show Da Banda No Oslo Spektrum , O Evento De Despedida Fez Esgotar Os 39 Mil Ingressos...

I love this version of the song....the extended remix. I thought I'd add sunsets and angels to it.

This song is just the prettiest love song from A-ha...a fragile longing for the love of your life. Eloquent lyrics....

LYRICS: Hunting High and Low -- a ha

Here I am
And within the reach of my hands
She's sound asleep and she's sweeter now
Than the wildest dream could have seen her
And I Watch her slipping away

Though' I know I'll be hunting high and low
High
There's no end to the lengths I'll go to
Hunting high and low
High
There's no end to lengths I'll go

To find her again
Upon this my dreams are depending
Through the dark
I sense the pounding of her heart
Next to mine
She's the sweetest love I could find

So I guess I'll be hunting high and low
High
There's no end to the lengths I'll go to

Hunting High and Low
High
Do you know what it means to love

I'm hunting high and low
And now she's telling me she's got to go away

I'll always be hunting high and low
Hungry for you
Watching me tearing myself to pieces
Hunting high and low
High
There's no end to the lengths I'll go to
Oh, for you I'll be hunting high and low


"a-ha-Hunting High And Low (Extended Remix)", sound recording administered by:
WMG (I do not own rights to this music)

El trío noruego A-HA y sus grandes éxitos se presentan en el Show del Festival Internacional de la Canción de Viña del Mar 2006...Encuentra más videos de A-HA en nuestro Canal Histórico...Recuerda, somos el Canal Histórico del Festival Internacional de la Canción de Viña del Mar...Suscríbete! y síguenos en:
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If you drop a heavy object and a light object simultaneously, which one will reach the ground first? A lot of people will say the heavy object, but what about those who know both will land at the same time? What do they think? Some believe both objects have the same gravitational pull on them and/or both fall to the ground with the same constant speed. Neither of these things is true, however. The force is greater on the heavy object and both objects accelerate at the same rate as they approach the earth, i.e. they both speed up but at the same rate.

Coldplay frontman Chris Martin performing an acoustic version of the A-HA classic "Hunting high and low", originally released by the Norwegian band in 1985.
This performance is from the "Quart Festival" in Kristiansand, Norway, in July 2001. Possibly the earliest live recording of Coldplay doing this cover. At least on YouTube.
Originally recorded by myself from Norwegian TV, in 2001, onto a VHS cassette.
Credits to the now shut down TV-station "Metropol TV".

Want to help plant 20M trees by 2020? Go to https://teamtrees.org #teamtrees
Huge thanks to all the YouTubers who organized this. My apologies for the repost.
These videos are from 2012 so my interest in trees goes back a long ways. I think these videos discuss two of the most interesting and amazing facts about our leafy friends: they are made mostly of CO2 (which comes from us breathing out amongst other sources) and they can transport water up a tube higher than any we can currently manufacture. So trees are out to get you. But we do much worse to them so we owe it to them to plant some more. 20 mil is a good start.

A story is worth a thousand data points.
My second channel: http://bit.ly/2veritasium
More info on this topic: http://wke.lt/w/s/TzNC0