@@lukamitrovic7873 Multivariable calc is a lot of fun if you like single variable calc. I found it easier than Calc 1 and 2 since you've already got that foundation and you're now just building on it. If you haven't done any linear algebra, I'd recommend doing a little reading about vectors ahead of time, particularly the dot and cross products, vector functions and vector fields (the only difference between the last 2, btw, is that a vector has the exact same set for the domain and range [e.g. a map from all real numbers to all real numbers], whereas a vector function can map any 2 sets of vectors together. [e.g. the domain could be the reals and the range could be the complex numbers]). These topics will probably be covered at the beginning of course, but it's always good to be extra prepared. Personally, I love the topic of vectors though, so I might be a little biased. Anyway, I know you didn't ask for advice; I just loved multivariable calculus and studying those things on my own made everything make more sense for me. Good luck! :)
@@Lucky10279 oh I actually just finished studying vectors. They were pretty easy... I am moving onto vector functions tomorrow but so far it's been pretty easy. Lines/Planes were a tiny bit harder but still pretty easy. So I guess that's a bit late but still nice to hear! Calc 1 and 2 were a breeze so i think this will probably be too but what do i know. One thing I have realised is how vectors can be a bit more unintuitive and require more brain work when translating them to another point to get a plane/line, at least when it comes to picturing it in your head. Thanks again btw!
The explanation at the start with the hill and the gradients was such a great way to explain the concept, very intuitive. I love the way you're making the idea of fields much more common place with these diagrams. It sounds ridiculous in a way but "a number assigned to each point in space" automatically becomes more concrete as an idea when you have grids or shapes with those numbers displayed on them. Great work.
Called out at 5:18. My self-congratulation system was just about to laud me for this very thought regarding gravity when Nick caught me drifting and, with a solid "yeah, yeah...not the point for now." he grabbed my attention back into focus. A master indeed.
Me : ok we had enough mental breakdowns for today , lets watch some science videos before sleep Nerd clone : because I missed you Me : *Oh shit , here we go again*
Gradients are cool. When we got to that in in calc 3, it seemed like the first truly cool topic in calculus. I was wrong, of course, there are loads of really cool topics in earlier courses, but for some reason the gradient really struck me. I was a geology major and I think it's because the gradient was something that seemed immediately applicable to me (if I had taken physics with calculus, this would have all been different).
One of your best works bro, my advice treat your channel like a music artist in the industry of TH-cam. I like going back to oldies but goodies that beats the test of time
Brendan Hoxie Photosynthesis excites electrons and drives most of the rest of life: Photosynthesis: th-cam.com/video/Lto7DT1iE74/w-d-xo.html The electron transport chain: th-cam.com/video/rdF3mnyS1p0/w-d-xo.html And finally, a fun look at what gradients can do: th-cam.com/video/ObvxPSQNMGc/w-d-xo.html
As always great video! The magic is that even if I am perfectly familiar with the topic, your video still gives me some additional insight and improves my understanding (and it's enjoyable too :) ). Thanks for good work and wish you all the good gradients!
The gradient itself is a vector field! I don't know how I never explicitly realized this. I spent a lot of time studying the concept last semester when I did Calc 3 (which I really enjoyed) somehow that never hit me. The diagram at 1:35 is helpful too. It makes it clearer how the gradient is really a multidimensional version (in the mathematical sense, not the science fiction sense) of the derivative. I serious want you as my math and physics teacher, but I'm glad you're able to make these videos. Your enthusiasm and visuals make everything more fun!
You nailed it again Nick! A very nice introduction while studying Multivariable calculus which is the bread-and-butter for Engineers and Scientists. In this channel, one can also refer to 'Electrodynamics' to have a brief idea of Faradays Law. And 'Quantum Field' to have an idea of Electromagnetic Field Theory.
Several points 1. Slaves to the Gradient is an excellent band name 2. This channel has really given me an appreciation for fields (in the let's assign a mathematical object to all points in a space sense) 3. In mathematics the term field can also (perhaps more commonly?) be used to refer to a set with arithmetic operations defined on it. Does this meaning of the term field have any use in physics?
1. Agreed. 2. Awesome! 🤓 3. Yes, I remember this from Abstract Algebra class in college. That use of the word is not something you'd ever see in physics.
I wish every college professor I had also had an opposite clone. I would not only have paid relentless attention, but learned a whole lot more about how to approach a concept from more than one perspective. What a great learning tool. And, it lightens things up to make being there as much fun as educational. I don't care what any of your critics say, it WORKS.
I love you maaan! I recently saw your video describing Rods & Cones in eyeballs. When I saw the cones, I immediately recognized the gradient structure and somewhat understood that the gradient would allow for color detection. Perhaps cones only register gradients before forwarding to the brain. I first understood gradients in Earth science as the reason for weather, eventually realizing it means the planet is covered is an ebb and flow of atmosphere! It seems only fitting (according to the fractal theory @ repeating patterns in nature), that I now understand that EVERYTHING is an ebb & flow at every level. etc etc.. splat!
I love Grant's work (and I have met him in person), but I don't know if a collab would work well. We're at opposite ends of the emotional intensity spectrum 🤷
whoa ! before i visited this channel i dod not equations and stuff but know , i understand everything ! this channel is so so so so so underrated !!!!!
That was great!!! Blow my mind at the end! Brilliant! Love your videos! Folding cloths in the cellar, watching this on the big screen! Always a pleasure!! Peace and Love
Now I understand, without having to go through the full semester of Physics, just to understand this. Very helpful & informative, thank you for producing such high quality content & that too for free. Thank you sir.
Took the words right out of my mouth. Us living beings DO contribute to an overall increase in entropy, but our very PURPOSE is to resist that increase locally 🌱
@@narfwhals7843 Wait, are you sure? Within our bodies, we store up energy (from the sun, into our food, into our bodies) as chemical energy and resist decay. We keep replenishing the gradients that keep us alive. We are HIGHLY complex arrangements of atoms, and I imagine that our bodies have an ENORMOUS heat of combustion 😬 We are literally self feeding heat engines that keep trying to resist the 3 laws of thermodynamics, and successfully do so, if only locally (Which is why, I don't think we are catalyzing the entropic increase. I'm undereducated on this topic but I think the existence of life slows down the heat death versus it's non-existence.) *TL;DR: I think a corpse increases net entropy faster than a living body, but am not sure.* This is a conversation I'm very interested in having, thanks for participating!
I think the most fundamental idea in science is "A system in equilibrium can do no work," but "Behind everything that has ever happened, is happening, or ever will happen, there is a gradient" is another nice way of putting it.
Great video! I have really enjoyed all of your videos. I am a retired Physics teacher and would have used all of your videos to teach my classes if I was still teaching!!
"Energy can neither be created nor destroyed". I believe I have come up with a way to extract work from a very special case - by waiting for low entropy. Entropy is by essence based on probability, and if one has gas, by chance a (say heat) gradient should appear if one waits long enough. Before infinite time has passed, low entropy will have occurred for entropy is probability-based (even if the chance per unit time is 10^-1000...000, it doesn't matter in the face of infinite dicerolls). When the gradient has formed, insert a stirlingengine and you should be able to extract work, by only waiting for low entropy. Did I make a mistake in my reasoning?
This is the so called "Maxwell Demon" and it really astonished the scientists for a long time. You can see the explanation of it on this video: th-cam.com/video/KR23aMjIHIY/w-d-xo.html
I'm an old retired programmer who's trying to relearn calculus so I can understand how neural networks work. Thanks for this - it makes things a bit clearer.
Nerd clone made me laugh really hard. I always enjoy the clone humor. Do you still teach any classes? And do your students watch your videos? I'd love if any of my professors were like you. I've watched for years and hope one day I'll be rich enough to pledge on patreon lol
I taught a class this past winter semester (January to April), but thanks to Patreon patrons it's the last one I'll (probably) ever have to teach. I'm so grateful to everyone for supporting, watching, and sharing. I still can't believe this is my job.
You deserved my like just after 7 seconds. The perfect summary of the entire physics. Be slaves of gradients! The perfect summary of the entire physics.
To answer your question of "are you ok being a slave to the gradient" is a bit of a trick, if I wasn't and I was to rise above gradients, I'd be taking the path of a gradient to get there so I can never really escape lol
"The end of all gradients.. probably." Love it! lol. But makes a lot of sense. Love your channel Nick. Cheers from Australia. Btw.. makes even more sense after a scotch or two. ;) Cheers!
Hmm the second law of thermodynamics states that eventually there will be no energy gradients. But mass itself is a form of energy and when a particle exists in vacuum, there is an energy gradient between the particle and the vacuum. So if the second law is true, then should mass too ultimately cease to exist? i.e. proton decay is real? 🤔
@@EscolaDeMinecraft Nope there is nothing like magnetic scalar potential,what exist is magnetic vector potential Simply because curl of magnetic field isn't zero , it's equal to ( permittivity* current density)
This video kind of ties in as a nice tangent as well with the video about Lagrangian mechanics, the Principle of Least Action and Noether's theorem. After all, the Principle of Least Action is essentially talking about how a Lagrangian system follows a path of motion whose action has a stable gradient of zero. And Noether's theorem specifically looks at the gradient of the action of a Lagrangian to deduce conservation laws and "Noether Currents".
I find this very similar to collapsing variables theorem. Like, you have a bunch of possible outcomes, if you do one thing you collapse the functions variables to give the result you experience, but at the same time create a new function for the new space of events youre in now. And the the gradient (if i understood this correctly) can represent the greatest increase that something would happen, but the other things that has a lesser value, or does not change at the same rate are still relevant.
1. well we have a fuzzy-resolution, variable-accuracy view of the environmental gradient with our sensory gradients, that's a fair approximation of 'local significant observables' from the reference frame of a living entity. 2. we also have neurology capable of feedback loops, memory and meta-watching itself ( frontal lobe/upper consciousness observing the mind, the mind/cerebrum is largely abstraction of observations/relations of the cerebellum which is in turn monitoring the nervous system, which finally monitors the body ) now you look at (2), you can pretty well see how this tiered system allows higher and higher magnitudes of selection ability. looking at (1), we have a decently suitable representation of whats around and how our interactions play out to inform our selection combine all that, you've got a darn good approximation of free will. there are many non-deterministic elements to such an input/output system already at this point. without any quantum randomness needed, you will have unique outcomes that cannot be predetermined mathematically. thanks to chaos in neuron firing, and chaos in the system input itself, you might even call it super-non-deterministic unique will for certain. free will, at least nicely approximated
Our days of oppression by the tyrant gradient overlord are over. We shall rise and take back our freedom. Together we're strong, together we're fearless. Together WE WILL SUCCEED. WHO'S WITH ME? *[people shouting with determination]*
After completing Anatomy and Physiology, I thought the electrochemical gradient operating in our bodies was very illuminating. Also in my physics class I had this summer taught me to think of a potential difference within a circuit as a gradient and voltage as electrical pressure (analogously speaking) I always thought when a battery died it meant that there was no charge left within the battery, but in fact a dead battery actually signifies that there is no longer a difference in charge between the positive terminal to the negative. The charges are equal on both ends! Gradients are very cool and rules all.
One can only hope that your heat death t-shirt is your metal band and is available for purchase. I love that it looks reminiscent of Fenris, the wolf of Ragnarok, who will devour everything.
I've been looking for an easy and short explanation of Gradient , Divergence and Curl. I'm so thankful for this asylum❤!! Please make videos about the other two❤. Your videos are really helpful for students like me who are never satisfied with what our professors explain.😂
This episode was made possible by generous supporters on patreon.. and gradients 😁
Ulrich Sørensen Nah only gradients!
A funding gradient
I scrolled down and read this as he said it
🤣
Old sold American caucus
"Behind everything that has ever happened , is happening or ever will happen, there is a gradient " -- best quote
"and it's why a portal between Denver and New York would be a very bad idea."
**very quietly stopping that project now...**
Good call.
I think a more fun project would be to open a bunch of portals between the bottom of the ocean and the edge of space.
So, the portal from kamartaj to the Mt Everest in doctor strange will be devastating.
@@WarrenGarabrandt we shall call it The Big Spew
If that portal could be made permanent without energy consumption, it would be an immense renewable energy source.
As a meteorologist, i can confirm that gradients are VERY important
I've just started my multi-variable calc class, that symbol looks oddly familiar, thanks for making the grandient *a lot* more intuitive
You're welcome!
@@ScienceAsylum I am about to study multivar calc too! So thanks as well!
Those were the days :)
@@lukamitrovic7873 Multivariable calc is a lot of fun if you like single variable calc. I found it easier than Calc 1 and 2 since you've already got that foundation and you're now just building on it. If you haven't done any linear algebra, I'd recommend doing a little reading about vectors ahead of time, particularly the dot and cross products, vector functions and vector fields (the only difference between the last 2, btw, is that a vector has the exact same set for the domain and range [e.g. a map from all real numbers to all real numbers], whereas a vector function can map any 2 sets of vectors together. [e.g. the domain could be the reals and the range could be the complex numbers]). These topics will probably be covered at the beginning of course, but it's always good to be extra prepared. Personally, I love the topic of vectors though, so I might be a little biased. Anyway, I know you didn't ask for advice; I just loved multivariable calculus and studying those things on my own made everything make more sense for me. Good luck! :)
@@Lucky10279 oh I actually just finished studying vectors. They were pretty easy... I am moving onto vector functions tomorrow but so far it's been pretty easy. Lines/Planes were a tiny bit harder but still pretty easy. So I guess that's a bit late but still nice to hear! Calc 1 and 2 were a breeze so i think this will probably be too but what do i know. One thing I have realised is how vectors can be a bit more unintuitive and require more brain work when translating them to another point to get a plane/line, at least when it comes to picturing it in your head. Thanks again btw!
That was the most endearing "I missed you." almost sympathetic for the little guy.
How to I feel about the gradient? I have my ups and downs about it.
Just wait until he doe Curl!
"Circles" ~ The Who
th-cam.com/video/REp-3KdVmkM/w-d-xo.html
*Slow Clap* just for you! :P
😂😂😂😂
I find value in this joke
Wah wah
The explanation at the start with the hill and the gradients was such a great way to explain the concept, very intuitive. I love the way you're making the idea of fields much more common place with these diagrams. It sounds ridiculous in a way but "a number assigned to each point in space" automatically becomes more concrete as an idea when you have grids or shapes with those numbers displayed on them. Great work.
Thanks!!
Actually in greece we call nabla "ανάδελτα" which literally means upside delta.
Ha! For real?
@@ScienceAsylum ναι
Omg! You guys talk in formulas and constants!? 😱
@@william41017 lol i was thinking the same thing
@@william41017
And l was also wondering that these guys are Einstein
Called out at 5:18. My self-congratulation system was just about to laud me for this very thought regarding gravity when Nick caught me drifting and, with a solid "yeah, yeah...not the point for now." he grabbed my attention back into focus. A master indeed.
When nerd clone said he missed you, I screamed AWWWWW❤️❤️❤️
Me : ok we had enough mental breakdowns for today , lets watch some science videos before sleep
Nerd clone : because I missed you
Me : *Oh shit , here we go again*
❤
I think he returned because he had such gradient...
Gradients are cool. When we got to that in in calc 3, it seemed like the first truly cool topic in calculus. I was wrong, of course, there are loads of really cool topics in earlier courses, but for some reason the gradient really struck me. I was a geology major and I think it's because the gradient was something that seemed immediately applicable to me (if I had taken physics with calculus, this would have all been different).
In physics you learn to differentiate between cool and hot topics
@@itsalongday differentiation, another cool math topic.
One of your best works bro, my advice treat your channel like a music artist in the industry of TH-cam. I like going back to oldies but goodies that beats the test of time
Thanks. I was still figuring out how to properly mix in music at this point, so a lot of viewer complain they can't hear me talk.
@@ScienceAsylum 😅I was going with a metaphor about ur channel overall but you got an eye to fix problems
Life is nothing but an electron looking for a place to rest.-Nobel Prize-winning physiologist Albert Szent-Györgyi
Lol well put!
69 likes 😞
Can u explain?
just another angel looking to go home
Brendan Hoxie
Photosynthesis excites electrons and drives most of the rest of life:
Photosynthesis: th-cam.com/video/Lto7DT1iE74/w-d-xo.html
The electron transport chain: th-cam.com/video/rdF3mnyS1p0/w-d-xo.html
And finally, a fun look at what gradients can do: th-cam.com/video/ObvxPSQNMGc/w-d-xo.html
Your ability to break down these topics are incredible. Thank you Sir.
You're welcome! Glad to help :-)
As always great video! The magic is that even if I am perfectly familiar with the topic, your video still gives me some additional insight and improves my understanding (and it's enjoyable too :) ). Thanks for good work and wish you all the good gradients!
Mind. Blowing. 🤯
I'm so glad I've found this channel. I got nothing smart to say, just commenting for the algorithm.
Amazing. You really give a intuition to me about gradients and link to the real world.
The gradient itself is a vector field! I don't know how I never explicitly realized this. I spent a lot of time studying the concept last semester when I did Calc 3 (which I really enjoyed) somehow that never hit me. The diagram at 1:35 is helpful too. It makes it clearer how the gradient is really a multidimensional version (in the mathematical sense, not the science fiction sense) of the derivative. I serious want you as my math and physics teacher, but I'm glad you're able to make these videos. Your enthusiasm and visuals make everything more fun!
_"I don't know how I never explicitly realized this."_
I've lost count on how many times I've said this to myself.
@@ScienceAsylum How did you italicize the quote?
You put an underscore before and after what you want _italicized._ If you do it with asterisks, you can *bold* things too :-)
@@ScienceAsylum Thanks!
You nailed it again Nick! A very nice introduction while studying Multivariable calculus which is the bread-and-butter for Engineers and Scientists.
In this channel, one can also refer to 'Electrodynamics' to have a brief idea of Faradays Law. And 'Quantum Field' to have an idea of Electromagnetic Field Theory.
After all these years, I've finally become a grad student. Thanks for the new concepts. ;)
Several points
1. Slaves to the Gradient is an excellent band name
2. This channel has really given me an appreciation for fields (in the let's assign a mathematical object to all points in a space sense)
3. In mathematics the term field can also (perhaps more commonly?) be used to refer to a set with arithmetic operations defined on it. Does this meaning of the term field have any use in physics?
1. Agreed.
2. Awesome! 🤓
3. Yes, I remember this from Abstract Algebra class in college. That use of the word is not something you'd ever see in physics.
I click like , Then watch video
Yep the channel is that goooooooooooood
For real, same her lol
I wish every college professor I had also had an opposite clone. I would not only have paid relentless attention, but learned a whole lot more about how to approach a concept from more than one perspective. What a great learning tool. And, it lightens things up to make being there as much fun as educational. I don't care what any of your critics say, it WORKS.
_The End of All Gradients_ In a theater near you, next Fall, starring a bunch of clones.
And Nicholas Cage
LOL. That would be fun to watch.
Segway - To the timeline and the gradient of subscribers in time - Way up to a million!
what an epic video, i love when you explain the complicated universe with simple and elegant concepts!
Nice explanation. Much better than my college calculus proff. Quoted as saying: "not all you can become engineers".
My feelings about the gradient changes as time and other factors change.
I love you maaan! I recently saw your video describing Rods & Cones in eyeballs. When I saw the cones, I immediately recognized the gradient structure and somewhat understood that the gradient would allow for color detection. Perhaps cones only register gradients before forwarding to the brain. I first understood gradients in Earth science as the reason for weather, eventually realizing it means the planet is covered is an ebb and flow of atmosphere! It seems only fitting (according to the fractal theory @ repeating patterns in nature), that I now understand that EVERYTHING is an ebb & flow at every level. etc etc.. splat!
I would love a video of 3blue1brown explaining and your clones reacting and questioning.
I love Grant's work (and I have met him in person), but I don't know if a collab would work well. We're at opposite ends of the emotional intensity spectrum 🤷
whoa ! before i visited this channel i dod not equations and stuff but know , i understand everything ! this channel is so so so so so underrated !!!!!
I accept the gradient. Have to. I'm going down hill. Each morning my body reminds me of that fact.
That's the negative gradient.
entropy shall save us from the gradient
all hail entropy
Oh ho ho ho...mm dark.
You deserve millions of subscribers sir.
You will reach that for sure.
Keep up the amazing work
Everyone I know: hill
Me: Elevation field
That was great!!!
Blow my mind at the end!
Brilliant!
Love your videos!
Folding cloths in the cellar, watching this on the big screen! Always a pleasure!!
Peace and Love
Remind me why you came back from vacation? I missed you. 😆
Klaus Christiansen I think he missed annoying him!
Now I understand, without having to go through the full semester of Physics, just to understand this. Very helpful & informative, thank you for producing such high quality content & that too for free. Thank you sir.
The Lucidity gradient makes me watch this channel and nevva evva be disappointed.
I've been diving deeper into this channel and safe to say, it does make you go crazy.
We are not Slaves to the Gradient, WE ARE THE GRADIENT.
FOLLOWING THE DIMENTION OF TIME TOWARDS ITS MOST ENTROPIC STATE.
Took the words right out of my mouth.
Us living beings DO contribute to an overall increase in entropy, but our very PURPOSE is to resist that increase locally 🌱
@@pranavlimaye we are an entropy catalyst
@@narfwhals7843
Wait, are you sure? Within our bodies, we store up energy (from the sun, into our food, into our bodies) as chemical energy and resist decay. We keep replenishing the gradients that keep us alive.
We are HIGHLY complex arrangements of atoms, and I imagine that our bodies have an ENORMOUS heat of combustion 😬
We are literally self feeding heat engines that keep trying to resist the 3 laws of thermodynamics, and successfully do so, if only locally
(Which is why, I don't think we are catalyzing the entropic increase. I'm undereducated on this topic but I think the existence of life slows down the heat death versus it's non-existence.)
*TL;DR: I think a corpse increases net entropy faster than a living body, but am not sure.*
This is a conversation I'm very interested in having, thanks for participating!
Can u explain more
@@pranavlimaye but we also use the potential energy that's wouldn't be used if we weren't alive
I think the most fundamental idea in science is "A system in equilibrium can do no work," but "Behind everything that has ever happened, is happening, or ever will happen, there is a gradient" is another nice way of putting it.
you need a squirrel - death - counter
I've already lost track.
@@ScienceAsylum brutal
@@BattleBunny1979 Like a Krillin owned counter. XD
Great video! I have really enjoyed all of your videos. I am a retired Physics teacher and would have used all of your videos to teach my classes if I was still teaching!!
"Energy can neither be created nor destroyed". I believe I have come up with a way to extract work from a very special case - by waiting for low entropy. Entropy is by essence based on probability, and if one has gas, by chance a (say heat) gradient should appear if one waits long enough. Before infinite time has passed, low entropy will have occurred for entropy is probability-based (even if the chance per unit time is 10^-1000...000, it doesn't matter in the face of infinite dicerolls). When the gradient has formed, insert a stirlingengine and you should be able to extract work, by only waiting for low entropy. Did I make a mistake in my reasoning?
This is the so called "Maxwell Demon" and it really astonished the scientists for a long time. You can see the explanation of it on this video:
th-cam.com/video/KR23aMjIHIY/w-d-xo.html
I'm an old retired programmer who's trying to relearn calculus so I can understand how neural networks work. Thanks for this - it makes things a bit clearer.
You're very welcome :-)
Resisting gradients is an uphill battle.
It's better to just go with the flow.
Resisting the gradiant is also going downhill in another gradiant.
3:40 meeh this channel is so rich of information, I saw that yesterday on my fluid mechanics class
I've watched this video before through, but didn't notice it
There's a lot of little hidden "nuggets" 🤓
Nerd clone made me laugh really hard. I always enjoy the clone humor.
Do you still teach any classes? And do your students watch your videos? I'd love if any of my professors were like you. I've watched for years and hope one day I'll be rich enough to pledge on patreon lol
I taught a class this past winter semester (January to April), but thanks to Patreon patrons it's the last one I'll (probably) ever have to teach. I'm so grateful to everyone for supporting, watching, and sharing. I still can't believe this is my job.
Hi, you can pledge only with one dolar per month, each dolar helps. Hug from Portugal.
@@ScienceAsylum I wonder though how difficult it must be for you filling out your tax forms if all your incomes come from Patreon.
I sometimes cant understand the words through the nerds thick accent :(
@Einstein X You know, that makes me curious. Do patreon pledges count as taxable income to the government?
You deserved my like just after 7 seconds. The perfect summary of the entire physics. Be slaves of gradients! The perfect summary of the entire physics.
To answer your question of "are you ok being a slave to the gradient" is a bit of a trick, if I wasn't and I was to rise above gradients, I'd be taking the path of a gradient to get there so I can never really escape lol
"The end of all gradients.. probably." Love it! lol. But makes a lot of sense. Love your channel Nick. Cheers from Australia. Btw.. makes even more sense after a scotch or two. ;) Cheers!
When you rise above the gradient there's no place to go but down.
Wow… Awesome to be able to piece this like this👌🏼.. Thank You❣️👋🏼😌🇸🇪
is gradients the new "conservation of energy shall not be violated" thing
Apparently...
This is one of the greatest science videos I've ever come across.
I noticed the PBS Space Time t-shirt and I approve.
It just felt right given the topic.
I would watch hours and hours of your videos, I think they are so good!
Hmm the second law of thermodynamics states that eventually there will be no energy gradients. But mass itself is a form of energy and when a particle exists in vacuum, there is an energy gradient between the particle and the vacuum. So if the second law is true, then should mass too ultimately cease to exist? i.e. proton decay is real? 🤔
I love gradients without them we wouldn't have TH-cam and this channel!
I need an airship. OK I wont rise above gradient, but I guess I'll use the gradients?
Great stuff as always!
What about fields with no scalar potential? Like some magnetic field?
@@EscolaDeMinecraft Nope there is nothing like magnetic scalar potential,what exist is magnetic vector potential
Simply because curl of magnetic field isn't zero , it's equal to ( permittivity* current density)
I think I just understand the Lagrangian mechanic now... Wow, great video!
Fun fact, AI training works off gradients and finding minimums using those gradients
This video kind of ties in as a nice tangent as well with the video about Lagrangian mechanics, the Principle of Least Action and Noether's theorem. After all, the Principle of Least Action is essentially talking about how a Lagrangian system follows a path of motion whose action has a stable gradient of zero. And Noether's theorem specifically looks at the gradient of the action of a Lagrangian to deduce conservation laws and "Noether Currents".
I, for one, welcome our gradient overlords.
This, honestly, helped me the most understanding what gradients are for
Glad I could help 🤓
I'm no slave to any gradent. I'm a passive observer.!.
I find this very similar to collapsing variables theorem. Like, you have a bunch of possible outcomes, if you do one thing you collapse the functions variables to give the result you experience, but at the same time create a new function for the new space of events youre in now.
And the the gradient (if i understood this correctly) can represent the greatest increase that something would happen, but the other things that has a lesser value, or does not change at the same rate are still relevant.
We're not slaves to the gradient... We are the gradient.
We are slaves to what we are... the gradient.
Wow, you're a great and ingenious teacher. A gifted one!
We probably also cause a lot of gradients, so take that gradient.
this is the BEST channel on the entire internet
I just named my fantasy football team "SaQuantum Entanglement" (after RB Saquan Barkley) get ready for some spooky action at a distance bois!!
Keep uploading! I love your stuff!!
Nobody:
Stuff: *happening noises*
No. Stop posting that stupid ass meme
I'm interested to know what noises you were hearing in your head when you typed "happening noises."
@@ScienceAsylum the noises stuff makes when it happens, obviously.
@@ScienceAsylum yeah what Tomasz Wota said
Hey, don't blame Bigfoot. The gradients made him do it!
This channel is so underrated.
You & nerd clone made me laugh out loud… That doesn't happen much. Thank you
Liking the shirt from PBS space time! Thats one of my favorites too so good choice!
2:36 awwwwwwww :3
I become more crazy after every episode of your channel that I watch.
bowling balls can float
because water is also quite heavy
Indeed.
I love to see all your videos.They contain simple approach to the concept.
Now please make such videos on curl and divergence with visual concept.🌹🌹🌹💕
Just did :-) th-cam.com/video/UzW_jAJzlgI/w-d-xo.html
ALL HEIL THE MIGHTY GRADIENT!
1. well we have a fuzzy-resolution, variable-accuracy view of the environmental gradient with our sensory gradients, that's a fair approximation of 'local significant observables' from the reference frame of a living entity.
2. we also have neurology capable of feedback loops, memory and meta-watching itself
( frontal lobe/upper consciousness observing the mind, the mind/cerebrum is largely abstraction of observations/relations of the cerebellum which is in turn monitoring the nervous system, which finally monitors the body )
now you look at (2), you can pretty well see how this tiered system allows higher and higher magnitudes of selection ability. looking at (1), we have a decently suitable representation of whats around and how our interactions play out to inform our selection
combine all that, you've got a darn good approximation of free will. there are many non-deterministic elements to such an input/output system already at this point. without any quantum randomness needed, you will have unique outcomes that cannot be predetermined mathematically. thanks to chaos in neuron firing, and chaos in the system input itself, you might even call it super-non-deterministic
unique will for certain. free will, at least nicely approximated
saying: "you are slaves of the gradient" is exactly how saying "you are slaves to + sign" or any other math operator.
Your videos will never cease to amaze me!
His reaction to nerd clone simply speaking is the look my mom gives me when i'm bout to point out something 😐
you are the best ever beast in the world man, i was facing a problem in EM course
Our days of oppression by the tyrant gradient overlord are over. We shall rise and take back our freedom. Together we're strong, together we're fearless. Together WE WILL SUCCEED. WHO'S WITH ME?
*[people shouting with determination]*
After completing Anatomy and Physiology, I thought the electrochemical gradient operating in our bodies was very illuminating.
Also in my physics class I had this summer taught me to think of a potential difference within a circuit as a gradient and voltage as electrical pressure (analogously speaking)
I always thought when a battery died it meant that there was no charge left within the battery, but in fact a dead battery actually signifies that there is no longer a difference in charge between the positive terminal to the negative. The charges are equal on both ends!
Gradients are very cool and rules all.
Indeed. I even did a video about batteries a long time ago: th-cam.com/video/cPQbkTkGsnI/w-d-xo.html
To raise above the gradient, we will need more gradients. Thus, resistance is futile.
One can only hope that your heat death t-shirt is your metal band and is available for purchase. I love that it looks reminiscent of Fenris, the wolf of Ragnarok, who will devour everything.
its from PBS spacetime th-cam.com/channels/7_gcs09iThXybpVgjHZ_7g.html pbsspacetime.com/merch/
@@narfwhals7843 Yep! Matt and I exchanged t-shirts awhile back.
3:30
Colors of those portals are very interesting...
Why do I torture myself with such cool teachings first thing in the morning? I love it but I'm not awake yet.
Nice video. Many thanks for the links you provided.
Amazing!!! Thank you Nick!
So nice explanation.Thank you!
I've been looking for an easy and short explanation of Gradient , Divergence and Curl. I'm so thankful for this asylum❤!! Please make videos about the other two❤. Your videos are really helpful for students like me who are never satisfied with what our professors explain.😂
It was the video immediately following this one 🤓
*Maxwell's Equations Visualized (Divergence & Curl):* th-cam.com/video/UzW_jAJzlgI/w-d-xo.html
@@ScienceAsylum thank you so much!❤ definitely watching!!!!