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This Single Rule Underpins All of Physics 

Veritasium
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29 окт 2024

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Комментарии : 6 тыс.   
@3blue1brown
@3blue1brown День назад
This was so beautiful. I was thinking of revisiting the old video I made with Strogatz about the Brachistochrone and Johann Bernoulli's solution, but this honestly does most of what I could have dreamed and so much more. Bravo!
@tanvirzawad
@tanvirzawad День назад
Peace be on them who follow the guidance. Nice to see you here!
@ModernWizardx1
@ModernWizardx1 День назад
your videos are pretty good 3b1b i always enjoy them!
@LearningAccount-e5x
@LearningAccount-e5x День назад
This whole STEM education space has reached completely new heights because of the likes of you guys!!! I couldn’t be more thankful. Stuff like this will be truly world changing. (The hologram video was epic! Long format is incredible and the little secret vlog was the cherry on top. Thanks so much for your work!)
@JadMustafa
@JadMustafa День назад
Indeed, surpasses the limit of education - absolutely beautiful.
@felix0003
@felix0003 День назад
wowie
@RENO_K
@RENO_K День назад
"I recognize the lion by his claws" is such an epic quote Imagine being so legendary you don't have to sign off your letters/papers and people instantly know who wrote it
@joelspaulding5964
@joelspaulding5964 День назад
This is quite possible and common in art and music.
@ahsaasinator2840
@ahsaasinator2840 День назад
Let’s go another science banger !!!
@ares395
@ares395 День назад
@@joelspaulding5964 Try doing that with Science.
@cgonz8
@cgonz8 День назад
Counterpoint: “I have the most beautiful solution. Nobody has seen such a perfect solution, you wouldn’t believe it. You know it, I know it, everybody knows it. Don’t we have the best solutions?”
@jmalmsten
@jmalmsten День назад
That's basically how Richard Bachman was revealed. :P
@artbryanmoldon
@artbryanmoldon День назад
Man! Euler is that superhero backup that arrives just in time when all hope is lost!
@threeuniquefingers
@threeuniquefingers День назад
Indeed! He was like Dr Strange in Avengers Endgame! Summoning Langarange as the ultimate support lol
@derroz3157
@derroz3157 День назад
U LER-NING is the real superhero :D
@Game_Masters
@Game_Masters День назад
14:02 I am like: Not this guy again.. I swear XD THE MAN - THE LEGEND
@tturi2
@tturi2 День назад
I've already used his stuff in solid mechanics
@johnimusic12
@johnimusic12 День назад
Euler = GOAT
@harananand
@harananand 17 часов назад
As a Mechanical Engineer I certainly knew the principles of Lagrangian and the Eulerian. I also knew Newton and Bernoulli's story. It touched my heart to learn about Euler's kindness and Maupertuis contribution. I never knew that. The human element was the most special. Thank you for sharing.
@arunjangir5781
@arunjangir5781 14 часов назад
Yes, me too bro. 😅 its like revision.
@lawrencerisley7231
@lawrencerisley7231 14 часов назад
As a carpenter that watches math videos - knowing little about advanced equations - when I saw the outline of his profile it piqued my interest. I said to myself, "cool, he's back. There's something special about the E man." To discover he's also kind and generous, sorta made my day. Thanks Derek.
@Just_A_Dude
@Just_A_Dude 13 часов назад
Maupertuis is, I feel, a guy that saw Bernoulli's work and had an intuitive vibe, but wasn't quite able to put into words correctly. People like him are invaluable for the process of discovery and creation, but hardly ever get the recognition they deserve because they're not the ones that bring it home.
@dangerfly
@dangerfly 13 часов назад
@@Just_A_Dude People want to feel special by worshiping special individuals when advancements are always built on top of the previous shoulders. It's shoulders all the way down...
@user-gr5tx6rd4h
@user-gr5tx6rd4h 6 часов назад
I have read that Gauss (according to Niels Henrik Abel, 1802 - 1829, a very short life) did not have Euler's kindness of writing clearly understandably, but rather like a sly fox who uses his tail to remove his tracks. Gauss: ".... Thus it follows, obviously, that ...", and you need 8 hours (or perhaps 5 days) to see the "obvious"...
@DataIsBeautifulOfficial
@DataIsBeautifulOfficial День назад
Physics is just old guys arguing over who invented the best shortcut.
@lulairenoroub3869
@lulairenoroub3869 День назад
"The difference between science and screwing around is writing it down" -A guy Adam Savage was hanging around with. Then Adam Savage.
@JeffreyBenjaminWhite
@JeffreyBenjaminWhite День назад
fastest shortcut ;.)
@lazyphoton
@lazyphoton День назад
True, but that's also because nature takes the best shortcut too!
@XILikeTrainsX
@XILikeTrainsX День назад
So trackmania
@Truth4Lyf
@Truth4Lyf День назад
Math also uses this same principle
@nolanthedude
@nolanthedude День назад
One thing I adore about these videos is that they bring attention to history's forgotten heroes. Nakamura wasn't given the credit he deserved for the blue LED, and that video brought his contributions into the spotlight for millions. Now, Maupertuis has been given the spotlight and he can be recognized for his efforts alongside some of history's greatest mathematicians. If only he lived long enough to see this.
@entitledOne
@entitledOne День назад
Those things always make me wonder what the people who denied the inventions so hard would say now when they see how much they pushed the world forward. What would the people who insulted Maupertuis for his idea would say after they see it proven right.
@Player_is_I
@Player_is_I День назад
So true
@sottonk
@sottonk День назад
Poor Ibn Sahl
@TheAntira
@TheAntira День назад
I'm not sure I'd call a Nobel prize laureate a forgotten hero
@julioaurelio
@julioaurelio День назад
@@TheAntira The company he worked for thoughout most of his life dumped him and refused to give him the compensation he deserved. A real injustice.
@raktimaryabiswas3182
@raktimaryabiswas3182 День назад
Waiting eagerly for the next part. Please take the least possible time !
@krishnarajput3515
@krishnarajput3515 День назад
but ironically bring the maximum action
@yarodi
@yarodi День назад
😂
@nicezombie8054
@nicezombie8054 23 часа назад
The maximum effort so the maximum work, doesn’t necessarily necessitate the most action, but actually… make it cause the most action
@drttgb4955
@drttgb4955 16 часов назад
@@nicezombie8054 Government in the equation = less action.
@TravisTellsTruths
@TravisTellsTruths 15 часов назад
Bam ​@@krishnarajput3515
@aseemlimbu7672
@aseemlimbu7672 17 часов назад
The most beautiful thing about Science and Mathematics is you can just say "I don't know" for the thing which you really don't know and it doesn't impact your stature.
@JoshuaNorton
@JoshuaNorton 9 часов назад
Ah, no. That's actually really far down the line. From my experience in university, the freshmen do like to play out the historic tropes of quarreling scientists fighting for each shred of credit. There are a lot of loner types entering maths and physics who are on a mission to show that they are the smartest. The way I experienced it, the physics course is deliberately structured to socialize such types of students towards a team spirit.
@user-gr5tx6rd4h
@user-gr5tx6rd4h 6 часов назад
@@JoshuaNorton That must be AMERICAN students, I guess!
@xxvimilia
@xxvimilia День назад
I love these math videos because its so weirdly satisfying when you introduce another famous mathematician, and I'm like, "My man Euler was in this???". Its the same kind of excitement as the portal scene in Avengers endgame.
@skoogy7
@skoogy7 День назад
They say that theorems are named after the second mathematician who discovered them because the first was probably Euler.
@robspiess
@robspiess День назад
@@skoogy7 Euler's got his thumb up in everyone's business.
@threeuniquefingers
@threeuniquefingers День назад
@@robspiess Euler with his thumb and Newton with his nose poking in every flippin field in math and physics lol
@matercan5649
@matercan5649 День назад
fr, the same mathmeticians discovered everything
@kallewirsch2263
@kallewirsch2263 День назад
First guesses: If it wasn't Euler, then it was Gauss.
@arthurcuesta6041
@arthurcuesta6041 22 часа назад
I just saw another brazilian watching this video on the supermarket while waiting for his Uber. It was a somewhat old dude with his daughter. You've become massive, man. Great to see it.
@dpatts
@dpatts 18 часов назад
Q: How many viewers does this video have? A: More than a brazilian
@ronaldderooij1774
@ronaldderooij1774 18 часов назад
That was a fun father (NOT).
@joseivan2337
@joseivan2337 18 часов назад
Two Brazilians! Guilty
@kawafernandes7025
@kawafernandes7025 16 часов назад
Que legal!
@aboriani
@aboriani 16 часов назад
@@ronaldderooij1774 If you raise your kids to be dumb, then yes, but my 11 daughter and 6 years old boy LOVE watching this and other science channels with me...
@SochWrld
@SochWrld 18 часов назад
Watching this from Nigeria, and it's incredible how i can have access to this quality of information for basically free. I really love the internet sometimes.
@nemesiswes426
@nemesiswes426 12 часов назад
It is something every person on the planet should have access too. It is the great knowledge equalizer. Allowing anyone from anywhere to learn anything.
@SochWrld
@SochWrld 12 часов назад
@@nemesiswes426 amen to that
@Gpacharlie
@Gpacharlie 12 часов назад
@@nemesiswes426Elon is working on that.
@iceteazen
@iceteazen 11 часов назад
we need this kind of content to dominate most of the internet.
@sozzled3053
@sozzled3053 10 часов назад
The best thing about it… you can look up the different concepts brought up in this as well. It’s the perfect source for going down the “rabbit hole”.
@jamesmiller1770
@jamesmiller1770 4 часа назад
Not one single channel on RU-vid can give you such detailed, contextualized and informative, yet so easy to follow and beautifully arranged video on what would seem to be just another part of curriculum you would go through in school or university. This makes me want to learn more about this topic, physics and everything in general which means this channel has achieved the true meaning of teaching. Inspiration and imagination. Kudos!
@ctoid
@ctoid День назад
It's truly an Eureka moment when all the things just came out to be F=ma
@happygood18
@happygood18 День назад
Yeah, my mind was blown. I did not expect that!
@steffenbendel6031
@steffenbendel6031 День назад
Actually, forces do not describe all of physics. They are mainly a helper in classical mechanics. But you can not describe interference effects with forces. And in Langrangian mechanics you do not have explicit forces.
@csgas0
@csgas0 День назад
@@steffenbendel6031🤓
@Unmannedair
@Unmannedair День назад
But it never does describe f=ma... That's just a very special case. F=dI/dt.... di/dt only equals ma for cases where mass is constant.
@liamweavers9291
@liamweavers9291 День назад
Would it not be more accurate to say force is a function of mass and acceleration? Newton's second law, F = ma, is traditionally seen as a static equation describing force as the product of mass and acceleration. However, life and complex systems are inherently dynamic, requiring a reinterpretation of this law as an interdependent relationship where force, mass, and acceleration are mutually dependent functions over time (defined as Einstein's Co-ordinate Time or the speed of light). Just as the electromagnetic field arises from the interactions of electrical and magnetic activities derived from matter and energy, Force dynamically interacts with mass and acceleration, creating a continuous feedback loop. External perturbations to a system's electromagnetic field influence its internal dynamics, and vice versa, through a process of field alignment at various levels. When matter and energy interact to produce information, or when information is applied to affect matter and energy, the resulting changes occur instantaneously across different field alignments. For example, information interactions at the matter and energy level generate electromagnetic interactions that, in turn, influence the information within the electromagnetic field itself. On a larger scale, the Earth's electromagnetic field interacts with that of the human body, affecting its internal dynamics and maintaining homeostasis-a state of equilibrium. This dynamic version of F = ma, measured continuously over a constant time frame, emphasizes the continuous, reciprocal relationships that sustain complex, living systems, illustrating how fundamental forces and properties are interconnected through time to maintain stability and balance.
@SalilShahane
@SalilShahane День назад
<a href="#" class="seekto" data-time="934">15:34</a> the smile on Derek's face when he was compared to Euler made my day.
@akarshiaaryan5952
@akarshiaaryan5952 День назад
😂
@arskiz
@arskiz День назад
Euler angles
@realracing3specter295
@realracing3specter295 День назад
👌
@ludnix
@ludnix День назад
prof Strogatz was really channeling The Dude when he said that too!
@Utoxin
@Utoxin День назад
My jaw literally dropped. That's one of the highest complements I think I've ever heard.
@MrNpr
@MrNpr День назад
I generally dont leave comments. But I felt I had to write this down. 24 years ago when I took my physics class as a first year under grad student, I was quickly introduced to the Lagrangian and Hamiltonian in a physics class with just the equations thrown around. There were books in the library which provided tons of equations but never the intuition behind them. It was assumed that the reader knew why this had to be the case. I never got back to digging this deeper as my primary area of focus had shifted to other subjects. But after so many years I am finally happy to see the beautiful thought process behind them. Really appreciate you for making such valuable and interesting content.
@AbyssRein
@AbyssRein 23 часа назад
Exactly!! Its degrading to teach how to use a formula without the story… the story and attempts through 4+ time periods are rich with lessons that can be applied all throughout life. Stories captivate an audience! Not formulas! Plus, you’ll only find independent thinkers at the forefront of discovery, I wonder how many greats fell short due to the rigidness of curriculum.
@UniverseSpeck
@UniverseSpeck 22 часа назад
I’m 100% with you. I find people tend to learn best through story telling. Not “facts”. Understanding what lead people to a current understanding is far more powerful and sticks with you. It’s harder to do and takes more time and work, but I think it serves more.
@erikziak1249
@erikziak1249 22 часа назад
Same here.
@guigoinz112
@guigoinz112 21 час назад
Yeah, I need the story in order to make me abaorb the info, otherwise it’s too stale for my brain to remember😅
@semsuddin
@semsuddin 20 часов назад
This! Wouldn't it be much beter if all of those equations actually started as a story you'd follow through similarly as in this video? Wouldn't be much longer but way more meaningful and easier to learn and understand.
@kilimanjarocruz660
@kilimanjarocruz660 15 часов назад
For me, one of the best introductions (albeit a bit old-fashioned at times) to the principle of least action is Landau and Lifshitz's volume on Mechanics. They also properly give Mapertuis his share of the credit. Also interestingly, they go on to explore how the equations change when you relax the constraints a bit (for instance, by not fixing the final point) and what this teaches us and how to use it. Simply marvelous.
@StarFury2
@StarFury2 18 часов назад
16.5M subscribers, and still not afraid to show entire formula deriving process using calculus! Bravo!
@Kampamba
@Kampamba День назад
I’m a practicing mechanical engineer of 6 years now. Nearly 30 years old. In 2014 I discovered Veritasium and Smarter Every Day when deciding what to study. I cannot explain how instrumental these videos have been to my life. Thank you so much Derek!! Humanity is better off because of you
@elementalist1513
@elementalist1513 20 часов назад
Im in school for engineering, but we haven't talked about this topic at all. Would this principle apply to classes like Dynamics and make it easier for me😅
@offabender2719
@offabender2719 19 часов назад
​@@elementalist1513You do generally cover it, idk in how much depth, it depends on your course structure and discipline. But if you ever take an advanced dynamics subjects you'll encounter them especially for shafts and machines with linkage mechanisms. Although nowadays most of this stuff is taught in conjunction with computational methods not strictly rigours math (at least where i study eng).
@thegr8malachite370
@thegr8malachite370 4 часа назад
2 of my favorite science channels! add tom scott to that and we're set 😊
@st0rysphere
@st0rysphere День назад
Veritasium has now surpassed the quality of netflix docementaries. Really one of the best videos on math i have ever seen. Well done Ve. Cant wait for part 2
@Neverforget71324
@Neverforget71324 День назад
Agree. A few years they did a reboot of "Cosmos" ... The production quality of these videos is at least as good as the Cosmos series.
@jmalmsten
@jmalmsten День назад
Netflix docus really have fallen lately. Moving more and more towards the formats of cable TV to desperately stretch out every single minute of content 3-6 times longer than necessary.
@jerrysoncallado8709
@jerrysoncallado8709 День назад
Im still waiting for the part 2 of their video about Thermite, and now Derek is making me wait for the part 2 of Action. They better release these sequels soon because im loving it
@Patterner
@Patterner День назад
too bad for netflix my first thought will always be "black Cleopatra"
@andrewandrus3296
@andrewandrus3296 День назад
Imo these have always been better
@asishsan
@asishsan 4 часа назад
an absolute beauty of a clear presentation of least action , how it evolved, grew and matured over time!
@roodog1
@roodog1 День назад
I took a class called theoretical mechanics, where we learned most of this. What was explained to me over 10 weeks was described infinitely more beautiful in this 30 minute video. I’m tearing up just thinking about it. Your channel is absolutely incredible for bringing math and physics to the average person, and even making the people familiar with the material think about it in a new way. Thank you
@G36-999
@G36-999 День назад
damn literally same here
@backspace345
@backspace345 День назад
Last semester theoretical mechanics ended for me. I thought Lagrange's mechanics was just yet another way to describe moving things, except even more generalized and even more boring. I still do find it unintuitive, and i was genuinely hoping to see how this pops up somewhere else, but sadly we must wait for another video.
@Luicatus
@Luicatus 23 часа назад
​@@backspace345 Funny Lagrangian Mechanic saved me in my first Semester of theoretical physics. Could not get the hang out of classical Mechanik, but this gave me at once a tool set, i could appy. Esp. Double Pendulums (practical example: swinging bell) That and the Maxwell Equations are still the only parts of theoretical physics I like as a applied and Experimental physicist Even 20 year later and out of the scientific world
@gd1037
@gd1037 23 часа назад
Personally, watching this 30 min video made me wish I had time to study the subject over a 10 week course. These videos are nice to learn about the history of physics, but if you don't study the math behind it you don't really understand any of it. You just accept an answer for the correct one.
@manuel0578
@manuel0578 23 часа назад
No it doesn’t. You’re not going to be able to do any calculations yourself after watching this video.
@DevRajyaguru-lx8pi
@DevRajyaguru-lx8pi День назад
A beautiful mix of history, physics, math, music, emotions and story telling. I am just blown away ! I remember terry tau's quote at this point that, we should teach our children the history behind the things, how it came and how much effort went to bring it in the form it is today. If we don't appreciate history then there is no way we can appreciate it's true essence. Thank you Derek and the team for their amazing efforts in STEM.
@Neverforget71324
@Neverforget71324 День назад
100 percent agree. I was always frustrated in college because I felt I was never "catching on" quickly enough... only to find out years later that the knowledge we were taught in one semester took humanity hundreds of years to figure out.
@chattiezzz
@chattiezzz День назад
couldn't agree more!!
@kirkbotingress3690
@kirkbotingress3690 День назад
I hated history class because it seemed to be about learning these dates and names of dead people. Nowadays I love history because I can ignore exact dates and focus on the reasons and motivations of those people that came before me
@aseemlimbu7672
@aseemlimbu7672 17 часов назад
@@kirkbotingress3690 Loved the way you put it.
@btf_flotsam478
@btf_flotsam478 16 часов назад
It's worth noting that the history of a field is often more understood by those in its field than most historians. As a mathematics person, I have already heard of the Maupertuis, Voltaire and Frederick the Great drama from a biography of Leonard Euler, and have discussed the history of probability with professors while doing my honours thesis.
@funnyname7773
@funnyname7773 День назад
As a first year physics student, these types of videos are incredibly valuable! I legitimately cannot explain how incredible it is to walk the line of simple explaination vs specificity and detail that you and your team walk perfectly. Thank you so much, it makes me so happy that there are science educators such as yourself following in Euler's footsteps, teaching with empathy, clarity, and clear passion!
@leviathan5207
@leviathan5207 День назад
The video is interesting for sure, but it is technically little more than a history lesson. I wager you would not be able to solve even the simplest of problems using the fucntion you probably just saw for the first time in your life, after watching this video. Calling him a teacher for giving you a history crash course on a single formula is a disservice to anyone who is actually teaching, I think.
@funnyname7773
@funnyname7773 День назад
@@leviathan5207 While I understand where you are coming from, I never meant to undermine or disparage classical teachers and educators with my praise of Veritasium. Rather, and this was unstated, so there would have been no reason to assume this, I meant to call attention to the benefit of having various avenues and angles to education. To be sure, I am pursuing physics first and foremost because I had a fantastic high school physics teacher who ignited my initial passion and you are most definitely right, I likely would not be able to solve most simple problems using the function without help. However, I do not think that the value that Derek and his team provides is that of immediate practical application of the mathematical concepts they cover. Rather, as stated by many other people much smarter than myself, by teaching the history and rationale behind these mathematical concepts, one can make sense of them outside of just calculus and algebra. Additionally, I am calling Veritasium a teacher because, over the past couple years, I have learned a lot from this channel. I think that classical teachers are incredibly valuable (and often undervalued by most people), but I do not think one has to teach in a school to be an educator.
@emm6064
@emm6064 День назад
@@leviathan5207 my father tried to teach me to drive stick without explaining the principles behind it ("just do what I say when I say it"). Fortunately, he was a fast-hand on the emergency brake and I got to autograph the the skidmarks in our driveway. 🙂 Mom took over after that and learning what was happening in the engine as I pressed pedals kept that from happening again. Knowing _why_ helped me learn about "how". Having a conceptual underpinning and an understanding of how a concept was _developed_ gives you a framework to attach all the specific mathematical details to; something that simply throwing the final equation at you wouldn't provide. Context matters.
@aitsfni
@aitsfni День назад
​@@leviathan5207 I am also pursuing a physics degree. I'm in third year. While a large part of physics is, indeed, knowing how to solve formulae for solutions, simply knowing how to plug in numbers/manipulate an expression pales in importance compared to actually understanding the concept at hand. Where the equation comes from, what each term means, why certain cases yield certain solutions, etc.. Without this knowledge you are no longer doing physics, just math. Videos like this are invaluable when it comes to forming intuitive foundational understanding of these topics. Setting it all against the backdrop of the real history of the development of these concepts and ideas surely helps connect everything together. Also, Derek is Ph.D. in education research. I'd wager he knows more than most when it comes to education.
@funnyname7773
@funnyname7773 День назад
​@@emm6064 Wow, what an eloquent way of putting it, thanks!
@Beryllahawk
@Beryllahawk 6 часов назад
My son sent me to watch this. I'm already subscribed but so frequently when it's physics I get a bit wary, I'm very much not a maths person. You start throwing equations across the screen and my mind often just quits right there, lol. But this was fascinating. When he told me the name of the principle I blinked at him and said "You mean conservation of energy?" and he started hopping up and down going "NO! That's just the thing! Augh, go watch it Mom!" SO here I am! And I see what y'all are saying. Interesting to think about and I look forward to the next one!
@tonytya
@tonytya 23 часа назад
I attended a university lecture which covered Multi DOF Dynamic Systems, the Euler-Lagrangian Equation, and Double Pendulums this morning as a Mechanical Engineering student. Was completely baffled and confused about the theory behind all of it. Coming home exhausted at the end of the day watching this piece of art just made me tear up. Such an amazing coincidence that this video was released today. The moment everything came to F=ma was such an Eureka moment too! Thank you Derek.
@kzeich
@kzeich 16 часов назад
It's beautiful
@tatsga
@tatsga 16 часов назад
I just had 8 weeks of my first course of mechatronics in technical university and this video was some what eye opening. I have been struggling with concepts of virtual work etc used in very hard and tidious matrice calculations used in equations of motion on multibody systems.
@whatTheblue
@whatTheblue 15 часов назад
Only if uni teachers were like this!!!
@skindalal1189
@skindalal1189 День назад
This Comment is for Maupertuis.
@FScott-m1n
@FScott-m1n 21 час назад
_pours one out for Maup_
@lordbunbury
@lordbunbury 21 час назад
I did it all for the Maupie
@kilgorezer
@kilgorezer 20 часов назад
hi
@mattmccallum2007
@mattmccallum2007 20 часов назад
If you say his full name in a dark room four times fast…… you giggle
@henrikebbesen1838
@henrikebbesen1838 19 часов назад
The unit [kg*m**2/sec] of m*v*s ought to be called a Maupertuis, 1 Ma.
@rocket_main
@rocket_main День назад
As a physics student in the 3rd semester this is a brilliant video to watch...literally goosebumps all the time. It is so satisfying to see what u have learned being illustrated in such a way. Just WOW really
@ashleymorrissey101
@ashleymorrissey101 День назад
I've been out of my engineering school for over a decade, but this video brought me back to my youth, lol I don't remember how to do all this math anymore but I recognize it and I think of my friends that went into math and physics
@realracing3specter295
@realracing3specter295 День назад
i always get goosebumps when i read about all those mathematicians, as they always somehow related to/connected another great mathematician, which i had no idea belonged to his timeline... and also contributed to the theory 🤯🤯
@Pleasing_view
@Pleasing_view День назад
Have you done Mathematical Physics yet?
@rocket_main
@rocket_main День назад
@@Pleasing_view just theoretical physics
@acron7559
@acron7559 День назад
I am a computer science student, i have a special place for physics, even though I left it for 4 years. This video revives those good ol' days.
@du_nut_tuch_me4230
@du_nut_tuch_me4230 16 часов назад
<a href="#" class="seekto" data-time="772">12:52</a> When you are so wrong that your close friend wrote an entire book just to ridicule you for how blasphemous your work is
@MasterReady12
@MasterReady12 День назад
Initially I was skeptical of the clickbaity title and the intro, but just after 3-4 minutes I was so *indulged* in it that I forgot to increase the video resolution to 1080p like I always do. Only later I realised that I watched 30 minutes of video that I was not going to watch. This is a testimony to how great this video is.
@DornigeChance
@DornigeChance День назад
Do not think that you are a meassurment instrument for video quality! But I see what you(!) like.
@Egan466
@Egan466 День назад
I have a plugin that auto set to highest quality all videos because RU-vid doesn't like anything above 1080p
@PROtoss987
@PROtoss987 День назад
Same for me. I was going to watch this anyway because Veritasium always delivers, but I thought I'd put it to later and store the tab for a later day. But I saw a math equation, was intrigued and kept watching for a bit, then it was so interesting that pausing wasn't even on my mind.
@ryukiiprimer5383
@ryukiiprimer5383 День назад
You should watch Derek's video on clickbait and why his video's title and thumbnail seem clickbaity when you'll actually get what you see.
@HunsterMonter
@HunsterMonter 21 час назад
It sound like clickbait, but it's true. Literally all of modern physics are derived from either lagrangian or hamiltonian mechanics, both of which are founded on the principle of stationary action
@pedrocasella1327
@pedrocasella1327 День назад
I just did an undergraduate research about Lagrangian in manifolds, and now I have to create a poster about it. Thank God. for this video right now!!
@PetraKann
@PetraKann День назад
So you were asleep in class for all those years?
@Gokuk-oq3uk
@Gokuk-oq3uk День назад
@@PetraKannwodent this video make his task easier
@roulzhq
@roulzhq День назад
Bozhe moi
@rasmusturkka480
@rasmusturkka480 День назад
@@PetraKann yes, studying is for nerds who don't know anything
@PetraKann
@PetraKann День назад
@@rasmusturkka480 listening and paying attention is not
@PrajwalDSouza
@PrajwalDSouza День назад
One thing missing? Connection to Noether's theorem. It is right there. Variation of momentum over space (Lagrange) vs variation of energy differential over time (Hamiltonian) <a href="#" class="seekto" data-time="1310">21:50</a>
@perorenchino2036
@perorenchino2036 День назад
Convert to hinduism
@hata6290
@hata6290 День назад
maybe next video
@srujankumarmishra1768
@srujankumarmishra1768 День назад
ricebag
@toinfinityandbeyond2023
@toinfinityandbeyond2023 День назад
Hi Sir... I am Pranetha(remember from CFAL 2021 batch,druhan and pannaga's classmate in case you dont remember)....because of you I am still watching veritasium...currently in NITK final year ....hope you are doing great
@PrajwalDSouza
@PrajwalDSouza День назад
@@hata6290 yes. I realised that towards the end. Hope the video goes deep into this topic. Also, especially symmetries.
@kunalmenda6723
@kunalmenda6723 17 часов назад
Literally did most of my PhD on the Euler-Lagrange equation and still learned a ton from this video.
@benbarberian1701
@benbarberian1701 12 часов назад
Like what? other than the history behind it not much more which is not covered in graduate classical mechanics courses.
@priyobayuramadhan1284
@priyobayuramadhan1284 День назад
<a href="#" class="seekto" data-time="1712">28:32</a> I remember when I was doing highschool physics olympiad, we treat Lagrange equations as some short of legendary weapon to handle meticulous oscillation problem 😂, because it is so hard to get the equation correctly using newtonian method. But we never knew why does it work and where does it came from. My mind has been blown 🤯.
@J.E.E.DESTROYER
@J.E.E.DESTROYER День назад
Very cool 😎😎
@fredericharmand
@fredericharmand День назад
It is easy to understand why this works. In the Langrange formula, the potential V is the cause and the energy of motion, the kinetic energy T, is the effect. The difference between the two must be zero all along the integration path, otherwise it means that we have missed either a cause or an effect, or both. Basically, the philosophy is that for every cause there is at least an identified effect. It is like the Newton law F is the cause and the acceleration is the effect, both are equal. The problem is that the Lagrangian assumes instantaneous transmission of causality, which is why it does not work in relativity. In Relativity the causality takes its share.
@Player_is_I
@Player_is_I День назад
Lol, now it is when it makes sense right
@sanidhyapratapsingh-h7d
@sanidhyapratapsingh-h7d День назад
@@fredericharmand what does "instantaneous transmission of causality" mean, and what's different in relativity when this doesn't work.
@fredericharmand
@fredericharmand 21 час назад
@@sanidhyapratapsingh-h7d "Instantaneous transmission of causality" means that there is no delay between a cause and the corresponding effect on a body. This is not the case in relativity.
@matercan5649
@matercan5649 День назад
The animation in these videos keep getting better and better, I love it.
@nclsb142
@nclsb142 День назад
Yeah It's a great addition to the content 😊
@theairaccumulator7144
@theairaccumulator7144 День назад
Am I tripping? It feels like I've seen this exact video before. Years and years ago on 3B1B. Did they just recycle the whole script and animations?
@cherriberri8373
@cherriberri8373 18 часов назад
Yes, just let that production value keep convincing you to never be skeptical of watching these videos.
@niccolozanotti
@niccolozanotti 19 часов назад
Physics graduate here. You brought back a lot of good memories from my analytical mechanics course. I wasn't really able to appreciate the beauty of the principle besides its mathematical elegance. What you (and Strogatz) are doing with these videos is truly a gift to humanity. Thanks
@superpigiron136
@superpigiron136 4 часа назад
Love the video! Adding a key or writing in the for the variables in these equations is one thing that would help me and probably others understand a bit better in those sections.
@Miftahul_786
@Miftahul_786 День назад
<a href="#" class="seekto" data-time="1553">25:53</a> I can’t lie.. I may or may not have gotten goosebumps
@plwadodveeefdv
@plwadodveeefdv 15 часов назад
dam right when there's an emotional crescendo in the music? that's crazy
@marwanfakhradin2543
@marwanfakhradin2543 6 часов назад
I certainly did
@benjamincraig7198
@benjamincraig7198 День назад
This video made me pick my Feynman lecture series book back out. The mathematics of all this is calculus of variations. I taught myself this once, and it was one of the most profound insights I’ve ever had mathematically. Thanks Derek, you are truly this days Feynman in terms of making complex concepts approachable and fun!
@דודקופלוביץ
@דודקופלוביץ День назад
Expect Feinmann to make an appearance in the sequel video.
@ivanjelenic5627
@ivanjelenic5627 23 часа назад
As the previous comment to your comment said, you wouldn't want to miss the next video then.
@johnchessant3012
@johnchessant3012 День назад
<a href="#" class="seekto" data-time="841">14:01</a> Euler!!
@Weeksmistro
@Weeksmistro 17 часов назад
Euler came in and said: “On your left.”
@bernard0camp0s
@bernard0camp0s День назад
Man, seeing what all these geniuses were up to way back when, sometimes in their spare time, is truly humbling.
@ultraokletsgo
@ultraokletsgo День назад
My understanding is they were fighting off bears a lot of the time.
@marvelwizalamu598
@marvelwizalamu598 День назад
Words cannot fully express how much this channel has transformed my perspective on learning. There are times when I feel completely lost with the concepts he talks about, yet instead of feeling intimidated, I’m inspired to watch the video multiple times and seek additional sources to deepen my understanding. The passion and effort he puts in helping people understand makes me not feel like I'm too dump to understand such complex concepts; instead, it sparks curiosity and a genuine hunger to extend my knowledge. I really appreciate you team Veritasium
@mikec.8604
@mikec.8604 День назад
same for me !
@mikeyb7263
@mikeyb7263 День назад
The twinkle in Einstein's eyes was no accident.
@MrAnshulji
@MrAnshulji День назад
Gripping screenplay ✔ Cinematic background score and camera angles ✔ Cameos by renowned (but dead) mathematicians ✔ Three-act structure, with the introduction of Euler's character placed perfectly at the mid-point of the video ✔ Spooky Halloween theme for the season ✔ Post-credit scene hinting at a sequel ✔ Forget blockbuster Hollywoood flicks, instead this video should be released in theatres and sent in film festivals!!
@thehardistdifficulty1050
@thehardistdifficulty1050 День назад
We need more like you good person ❤🎉 math and science are everything ❤️ 💖
@LynxUrbain
@LynxUrbain День назад
And what a cliffhanger at the end !
@Ashish-gj3vx
@Ashish-gj3vx 4 часа назад
Learning Maths and physics along with the real stories associated with it gives another level of clarity to the concepts.
@natetrice8194
@natetrice8194 День назад
Literally did the cycloid problem in my intermediate mechanics class yesterday. The timing is crazy!!
@paulbizard3493
@paulbizard3493 День назад
... They are among us ...
@adnan7698
@adnan7698 День назад
You mean the timing is optimal?
@aqibramzan9742
@aqibramzan9742 День назад
Me too
@AdithiaKusno
@AdithiaKusno День назад
When Veritasium summarized Physics Grad first semester in half hour! Impressive work, you literally summarized the first semester of Physics Grad lecture series in one video. As Richard Feynman said great teacher knows how to communicate complex subjects in the least amount of action. Impressive! Even second semester on Thermodynamics, third semester on Electromagnetism, and fourth semester on QED would be extra episodes on least action principle topics. I am guessing eventually Veritasium might show how the least action principle works on Einstein's General Relativity. It's RU-vid channel like this that helps me explaining Physics to my kids. Thank you Veritasium.
@cherriberri8373
@cherriberri8373 18 часов назад
Your first sentence should be a giant red flag to you. If you are capable of critical thought, so much info being compressed into 30 minutes should be a red flag that the info is at minimum, incomplete.
@jpchaitu
@jpchaitu 5 часов назад
@Veritasium Thank you so much for this wonderful video! As someone who studied this in my first year of grad school, I find myself smiling ear to ear as I see your brilliant presentation!
@samcrowther3942
@samcrowther3942 День назад
<a href="#" class="seekto" data-time="842">14:02</a> how did even the shadow look like euler, congrats to the artist great job!
@hihtitmamnan
@hihtitmamnan День назад
Yeah, no1 knows how...
@B20C0
@B20C0 День назад
It's the banyan and the lack of a beard 😀 Banyan without a beard = Euler Banyan with a beard = Gauß
@oberlurch-handimations8628
@oberlurch-handimations8628 День назад
The thing I love the most about science is that it's like a cooperative undertaking spanning thousands of years
@farrel_ra
@farrel_ra День назад
Agree
@Argoon1981
@Argoon1981 День назад
Indeed, even Newton said "If I have seen further than others, it is by standing upon the shoulders of giants.", so no important mathematician, physicist or scientist (or natural philosopher, how they used to be called) has single handily invented or discovered anything from scratch, all discoveries in physics has been a human group effort.
@aldrinmilespartosa1578
@aldrinmilespartosa1578 День назад
@@Argoon1981 man, imagine these poeple who are separate in time in the same room.
@samagraarohan2513
@samagraarohan2513 День назад
cooperative for only as long as no one brings up a challenge to the views
@donmacquarrie9161
@donmacquarrie9161 День назад
Giants standing on the shoulders of Giants....
@SnackPack913
@SnackPack913 День назад
I remember this blowing my mind when we learned about it as a physics undergrad. These days I forgot most of this but had always thought if it as “lagrangian mechanics” since it used the lagrangian. But now I distinctly remember a chapter on Hamiltonian mechanics. Man I miss those days where ever single lecture just completely blew your mind. I suffered through learning math just so that I could have the tools to learn more physics
@Pentenfi
@Pentenfi 6 часов назад
Beautiful video, just as beautiful as the concept itself. I was emazed by the power of variational calculus in physics applications back in university and still am to this date. It also reveals many insights in geometry
@HeisenbergFam
@HeisenbergFam День назад
You know its deadly serious when Veritasium says "we are approaching spooky teritory"
@0Senzuu
@0Senzuu День назад
😂😂😂
@DrDeuteron
@DrDeuteron День назад
"spooky" is such a loaded term in physics.
@giovanni_vaz_cardoso
@giovanni_vaz_cardoso День назад
​@@DrDeuteronEinstein effect.
@dVTHoR
@dVTHoR День назад
I think this was a meant to be a really funny double meaning line, since in real life we are very close and approaching Halloween. If not, that is a hilarious coincidence.
@naejelangelogonzales6623
@naejelangelogonzales6623 День назад
Ghosts are explained by physics from this video right now😊
@troik
@troik 23 часа назад
I started watching Veritasium 13 years ago about a Slinky dropping and we're now here with pretty complex formulas (for me), I feel like Derek is giving us a STEM degree without us even noticing. I learned so much in these 13 years. Thank you.
@cherriberri8373
@cherriberri8373 18 часов назад
You need to stop implicitly trusting people simply because they appear to know what they're talking about and have a higher production value. Veritasium does not make very trustworthy claims.
@philipingram1563
@philipingram1563 18 часов назад
Such a mental journey, awe inspiring...
@dog4me
@dog4me 17 часов назад
@@cherriberri8373what is bro smoking?
@DootyDuck
@DootyDuck 16 часов назад
@@cherriberri8373 im not saying you are wrong with the advice about not trusting people just because they appear trustworthy, but could you give me an example of Veritasium making untrustworthy claims?
@Tjeran
@Tjeran 12 часов назад
​@@cherriberri8373what claims specifically is it you don't find trustworthy? Everything Derek presented here is either historical facts where you can look up the sources on every single person, or pure physics. The few times Derek has made bold claims without all the facts laid out, there has been an outcries from physicists in the comments. The fact that the comments are full of praise is because all the physicists watching recognize all the facts and are blown away by the genius way of presenting it. I dare you to point out a single factual error in this video.
@praveenkumar-gk1xh
@praveenkumar-gk1xh День назад
In my final year of Engineering degree, I took a course called Interfacial Phenomenon. There we study how different fluid interfaces interact with one another. In that one such problem involved finding the height and the radius of curvature of fluid inside a capillary tube. We were introduced to Lagrangian differential equation mentioned in the video. I didn't have intuitive understanding of it back then. It was kind of a Eureka moment for me when I was watching this video. The puzzle finally falling into place. That' why I love veritasium !!
@cherriberri8373
@cherriberri8373 18 часов назад
Notice how you needed to have knowledge of outside info to be able to have that moment? Most don't have that, and those who do not are almost all not going to be looking into secondary sources of information on the topic; this is their only introduction and lesson.
@mahjabinahmed8461
@mahjabinahmed8461 3 часа назад
I felt the massive shock when you say I have to wait for another video. Truely, watching that one equation poped in everywhere made me shout. Really Great!!!! Can't wait >>>>>>>>>>>>>>
@iamsh4r106
@iamsh4r106 День назад
<a href="#" class="seekto" data-time="29">00:29</a> compression going crazy lmao
@lazymidas4262
@lazymidas4262 День назад
😭
@0maeWaMou
@0maeWaMou 19 часов назад
What're you even talking about
@Wm7forthewin
@Wm7forthewin 19 часов назад
@@0maeWaMouthe million ducks
@0maeWaMou
@0maeWaMou 19 часов назад
​@@Wm7forthewinelaborate
@Brunoenribeiro
@Brunoenribeiro 19 часов назад
went brrrrrrrr
@gautamdubey2822
@gautamdubey2822 День назад
Bro <a href="#" class="seekto" data-time="1570">26:10</a> is like the coolest thing ever I haven't done math and physics in a while but I like the subjects even thought they don't usually apply to my life anyhow being able to follow the video and understanding f =ma is just something I didn't expect that this equation will do like whaAT???
@gabrielemarchioni567
@gabrielemarchioni567 День назад
As a Physicist, I LOVED that class at University! Definetely waiting for the next part, about the UV Catastrophe and so on, that would be awesome to watch!
@WalkerBikes
@WalkerBikes 17 часов назад
This was an absolutely fantastic video
@TheThoughtfulInsight
@TheThoughtfulInsight День назад
When I studied these topics during my college major, they didn’t impact me the way they do now. I’m just flabbergasted at how simply you explained such a complex problem in modern mechanics-it blew my mind!
@markus9147
@markus9147 День назад
I love these types of math/physics history videos. They really put in perspective that we are standing on shoulders of giants. They also make me nostalgic about the time I was learning these things in college for the first time.
@TherapyGel
@TherapyGel 21 час назад
It also really humanizes these figures, at least for me. We were all taught that Newton was a genius and the impact of Euler's work. But hearing about the social dynamics between these people and their relationships really brings them down to earth and reminds you that they were just people. Brilliant, yet flawed people.
@TzarHiroki10
@TzarHiroki10 День назад
This is everything I learned in my 4 years of college calculus class (and never understood). Well explained!
@bituniverse8677
@bituniverse8677 День назад
I can feel the pieces falling into place too
@cherriberri8373
@cherriberri8373 18 часов назад
Condensed into 30 minutes. Yeah, I'm sure someone without background knowledge understood the topic, there are plenty of comments from people like you. But there are even more from people who simply just memorized an extremely short summary that leaves out so much that should and would be covered in an actual class.
@vasallo13
@vasallo13 13 часов назад
I loved this video. The sounds, the background music, the knowledge, the quality, the delivery. Truly a masterpiece. I honestly felt like I was watching a revelation of immense proportions. THANK YOU!!
@Pritchie45
@Pritchie45 День назад
<a href="#" class="seekto" data-time="1156">19:16</a> This is when I got lost.
@architektradim
@architektradim День назад
Same. Did he mean the sum of areas constrained by trial path above and below the true path is zero?
@inksansdemon5181
@inksansdemon5181 День назад
same.. not quite sure what they meant on that part🤔
@cursedlycan9925
@cursedlycan9925 День назад
Its Simple integral calculus. And a few classical mechanic's formula for Kinetic and Potential energy
@architektradim
@architektradim День назад
@@cursedlycan9925 And how about the part when visible difference becomes zero difference?
@bazylicyran7727
@bazylicyran7727 День назад
Same here. In fact, I think I'm lost even a bit earlier: "So if you took a tiny step to the left or the right, the value of the function basically doesn't change". What does that mean? So does the value change or not? I think it does, I don't see why it wouldn't. And then, if you were to change the path of least action by "adding a tiny bump here or flattening it out there", why "the action basically shouldn't change"? It seems obvious to me that it would change. They even say a few moments later that "any other path must have more action". So why this altered path doesn't have more action? I would really appreciate an explanation.
@tofu_golem
@tofu_golem 23 часа назад
I remember learning about "Hamiltonians" and "Lagrangians" in physics, and it felt so elegant to do it all with just energy.
@noddynorthside
@noddynorthside День назад
How satisfied would not Mr Maupertuis be, were he still alive, if he could see the principle of least action applied to highest degree of dignity to which it is susceptible.❤❤❤
@AyoolaLadapo-hg7vs
@AyoolaLadapo-hg7vs День назад
I wonder who Not Mr Mapertuis is?
@AyoolaLadapo-hg7vs
@AyoolaLadapo-hg7vs День назад
@@noddynorthside Just a joke bro😂🤲
@noddynorthside
@noddynorthside День назад
@@AyoolaLadapo-hg7vs 😅😅
@__w__o__w__
@__w__o__w__ 15 часов назад
It's been a long time since i've been giddy with excitement for the next video from any youtuber channel. This video is a work of art.
@ishan_singh
@ishan_singh День назад
I'm always blown away by the quality of your videos. The animation, the story telling, and the science itself, it's all top tier. I'm really happy that someone as capable as you, is covering these important topics with such care and respect. You are bringing all of this information to millions, and that's amazing!
@erthane
@erthane День назад
god these are my favourite types of veritasium videos (e.g the video about the invention of imaginary numbers and the video talking about black holes) where they explain maths/physics but also fuse lore and story into it, so immersive and entertaining, keep it up! :-)
@walaraubo
@walaraubo День назад
Sometimes I come back and rewatch those. I’ve probably seens the Gödel/Hilbert video 10 times
@kichunoob5472
@kichunoob5472 День назад
Fun fact : <a href="#" class="seekto" data-time="1423">23:43</a> the plant behind him with the pink flowers are extremely toxic, if you happen to eat/bite any part of the plant including the flower or the leaves, you’ll die 💀
@matwinchest3r
@matwinchest3r 23 часа назад
Okay its not that deadly, i mean for more than 20 years we had one indoor in our family home, avarage family life, not a single dog or family member died, so wont kill you overnight, just dont eat it 😂
@JRRodriguez-nu7po
@JRRodriguez-nu7po 21 час назад
@@matwinchest3r Correct, the really deadly grows around my area. Called "la manzanita de la muerte" in my native language; the manchineel tree is so deadly that just sitting near it will get you sick and leaning up on it possibly dead. Poison sumac and ivy aren't a joke either but "la manzanita" is way worse.
@ahmadshami5847
@ahmadshami5847 20 часов назад
​@@JRRodriguez-nu7po wait sumac is poisonous? in my country we heavily rely on it as a spice.
@aaronnorman9755
@aaronnorman9755 19 часов назад
🪦
@DigiBentoBox
@DigiBentoBox 18 часов назад
Oleander is what I grew up knowing it as. I love seeing biology in a physics video comment haha😂
@Jellikaque
@Jellikaque 13 часов назад
What a touching story!! I am no science person but I have watched your vidoes for years and recognise Euler's name. What a kind and talented guy!! 🎉 This video also shows the mountainous backlash could be faced by true pioneers. My heart aches for Maupertuis. 😢
@andreamoiana1130
@andreamoiana1130 День назад
Euler really is the greatest mind this world has ever seen. <a href="#" class="seekto" data-time="847">14:07</a> came as a surprise but not really.
@arktic3140
@arktic3140 День назад
The principle of least action genuinely is one of the most underrated theories when it comes to explaining general relativity. Thank you so much for exposing more people to this theoretical masterpiece ^^
@neurostreams
@neurostreams День назад
had a seed of intuition about this that i never itched... this was beautifully elaborated. worth routine refresher views
@vashthestampede9999
@vashthestampede9999 8 часов назад
This gives life to my inner childlike curiosity in a world so harsh to such wonderful wonder. Please continue these amazing works of art!
@RitikMaurya07
@RitikMaurya07 День назад
Now I understood how my dog feels when I talk to him.
@chuckaviator6423
@chuckaviator6423 День назад
I love the timing of the video, recently I was looking into Lagrangian mechanics just for fun and I understood the formulas and how to solve basic problems but I couldn't figure out the intuition behind the proofs/derivations. Truly one of the best videos made by you, thanks Veritasium!
@GetMoGaming
@GetMoGaming День назад
@<a href="#" class="seekto" data-time="758">12:38</a> sounds like an old-world version of Stack Exchange.
@HeyItsSahilSoni
@HeyItsSahilSoni 4 часа назад
<a href="#" class="seekto" data-time="1582">26:22</a> cue the climactic music! It really was a nice explanation!
@samihamchev9528
@samihamchev9528 19 часов назад
While watching this video, I felt like I was a guest in a lecture that I knew nothing about prior, yet still managed to walk out amazed and full of knowledge. Guys, thank you so much for making these... tbh I can't call them simply videos, but short movies. Like another dude pointed out, this felt like watching the latest season of Cosmos and it was incredible, to say the least
@anapalone
@anapalone День назад
<a href="#" class="seekto" data-time="1538">25:38</a> This is why I love math. When it was revealed that under all of that derivation and derivation results in an equation that we're all too familiar with, I just gasped.
@peter11612
@peter11612 День назад
It wasnt hard to spot earlier in the video 11:35
@justno984
@justno984 День назад
how tf did you not know this?
@Lq32332
@Lq32332 День назад
@@justno984how tf are you this condescending? 🤡
@roelsvideosandstuffs1513
@roelsvideosandstuffs1513 22 часа назад
Because every formula or equation you know is just the simplification of its integral and derivative. Or in the quote of a famous Mathematician "Simplicity is hidden beneath the mask of Calculus"
@johnchessant3012
@johnchessant3012 День назад
<a href="#" class="seekto" data-time="697">11:37</a> "to see the principle in action" lol
@benjaminhill6171
@benjaminhill6171 День назад
Nice catch. 😂
@Nitish-Rathod
@Nitish-Rathod 10 часов назад
😂😂😂
@Shubham-hd1ng
@Shubham-hd1ng 15 часов назад
This is all just beautiful how everything turns out to be. And damn these short documentaries are getting levelled up everytime. Respect and applaud to Veritasium.
@maxqutekerman907
@maxqutekerman907 День назад
This is the first time I've seen action written in the form S = mvs. And now it makes so much more sense!
@derhundchen
@derhundchen День назад
Neither did I. It makes it more understandable. It feels like a supercharged momentum.
@metadaat5791
@metadaat5791 День назад
<a href="#" class="seekto" data-time="1620">27:00</a> Good Guy Euler
@Phillip3101989
@Phillip3101989 День назад
I enjoyed maths and physics as a kid, did it all through high school, and even did an entire engineering degree 15 years ago, and I've never even heard of "action" as a quantity until today, amazing! I wonder why, as it seems like the general solution for many of the concepts I studied.
@thatdude_93
@thatdude_93 День назад
It’s something you learn at uni, because the math behind it is a bit more complicated than what you do in Highschool
@halbarad7932
@halbarad7932 День назад
@@thatdude_93 I would leave out the bit part. It IS more complicated than what you do in high school, period. Variational calculus is in many ways different than standard calculus. There are analogies that can make it at least a little easier to digest, but you really can't work with it as with derivatives. The great example of that is when you try to tackle second order action, where you can't use any trick like integration by parts or something, and you need to seriously work with second order variation, which is a function, not a differential and that makes things much much harder. Besides, action is not the only variational problem you can do. Also, this guy said he studied engineering at college, and most of the engineering majors do not take much math beyond calc 1,2,3. So naturally, he wouldn't have the math for that, although I would argue that a decent professor can teach you without you knowing variational calculus.
@rosyidharyadi7871
@rosyidharyadi7871 День назад
that's weird, I was from electrical engineering that has nothing to do with mechanics but i remember being introduced to principle of least action somehow
@halbarad7932
@halbarad7932 День назад
@@rosyidharyadi7871 Which class was that?
@TranceFat
@TranceFat 14 часов назад
Lagrangians are also used all over in finance (my field) - portfolio optimization problems and much more. Although I took a shitload of physics and math classes, perhaps this was all the wrong way to go - Veritasium and many other content creators for math and physics (and other sciences) have done so much more to improve my understanding of so many concepts. Maybe these videos should be a mandatory part of the syllabi of many high school and college courses! Ty Derek!! ❤
@billdicklechips
@billdicklechips День назад
Learning the calculus of variations was my favorite part of classical mechanics in undergrad. It's cool to learn more about the history of it.
@wrongermonk1065
@wrongermonk1065 День назад
This is an amazing way to explain The Principle of Least Action! Considering that it serves as the basis for Analytic Mechanics, which is to this day the preferred formalism of classical mechanics (and what Quantum Mechanics ended up going with), this video has TREMENDOUS value!!
@Mohamm4dT
@Mohamm4dT День назад
I learned this principle a year ago at uni, got extremely excited about it, surly listened to lots of physicists speaking about its importance and and explaining its depth, and of course read the Feynman lecture of it. still, you have added a lot to my knowledge about it. thank you !
@NikF92
@NikF92 7 часов назад
Glad there's people like you in this world
@Pankaj-qu4kg
@Pankaj-qu4kg День назад
<a href="#" class="seekto" data-time="1020">17:00</a> I think there is an intuitive way to action. Imagine you are sitting next to a door(side opposite to the door ). We usually (as far as it's not necessary) don't close the door by putting force near the hinge (imagine the door is half open) *Now if you think we are just saving energy by that not action* Then I want to argue the secondary case Case 2 Now you are sitting on the chair at the same place you are most likely to close the door by applying force near the hinge because knob is too far I want to argue about the fact that you may save energy by standing up and closing the door with little energy but you will use more force and do it even if you feel pain in your hand. I think that is action's intuition Becoz a man with a diff. body like ectomorph (rather than endomorph) chose to stand up and close Slite slim and muscular man may have diff. Approch
@jatinbhatt7826
@jatinbhatt7826 День назад
It's the best video on RU-vid describing *action* in a proper way. All the writers of the so called "classical mechanics " Books must include this journey to reach the concept of action. I am really very thankful to you sir.
@JRRodriguez-nu7po
@JRRodriguez-nu7po 21 час назад
No, the best videos are clips of Staying Alive and the Disco scene. OK, boomer....
@BobQuigley
@BobQuigley День назад
My wife is related to William Rowan Hamilton. We were married in the town of Killyleagh Northern Ireland. We stayed in Killyleagh castle which is still owned by Hamiltons. Great video as always
@benbarberian1701
@benbarberian1701 12 часов назад
Lovely fact
@taruhmei
@taruhmei 10 часов назад
Most valuable RU-vid channel for me, love this man for allowing me to know all this amazing knowledge.
@cxn8
@cxn8 День назад
In a world where everything seems to be trending towards flat design, I adore the expressive sketched style of animations in these videos. Thanks Veritasium!
@Vorzez
@Vorzez День назад
A new Veritasium video is a good birthday present.
@zafuego
@zafuego День назад
oh happy birthday! :D
@RitikMaurya07
@RitikMaurya07 День назад
Happy birthday 🥳. Stay blessed
@Vorzez
@Vorzez День назад
@@zafuego thank you :D
@K.Sicilian
@K.Sicilian День назад
Happy birthday!🎉🎉🎉
@SATVIK-by5cf
@SATVIK-by5cf День назад
Happy Birthday bro🎉
@How19.
@How19. День назад
who needs enemies when you've got friends like maupertuis's friends
@ColeJT
@ColeJT 3 часа назад
I think I may have been waiting for this video for nine years. In one of my systems engineering courses in school we were shown THAT the lagrangian works, but not why. I asked the professor, and he basically scoffed asking, "did you just ask me, 'why are we learning this?'" No, I was genuinely curious WHERE this new tool came from. We were taught for literal years at this point how to solve these problems with vector diagrams and calculus, then all of a sudden here's this tool you can plug and chug and it'll just magically work. Where the hell did THAT come from? Why is it equivalent to solving these problems more rigorously? Is it just a fancy wave of the hand? Fantastic explanation on describing this piece to the puzzle.
@IsntPhoenix
@IsntPhoenix День назад
<a href="#" class="seekto" data-time="60">1:00</a> Brachistochrone!
@puretestosterone2373
@puretestosterone2373 День назад
Vsauce helped me out there haha
@plague1739
@plague1739 19 часов назад
I immediately said "oh is this a cycloid curve video?"
@hotflame_editz
@hotflame_editz День назад
We saw veritasium dropping 4 videos in a month before GTA 6🗿🎯
@MashLimit
@MashLimit День назад
You measure time via GTA releases? Interesting...
@ashukun
@ashukun День назад
@@MashLimit and when it comes out the world is gonna end
@Dakkyun
@Dakkyun День назад
​@@ashukun We measure it like how we use Christ to measure time, BGTA6 and AGTA6
@wolfxzen
@wolfxzen День назад
XD
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