The description of the Maxwell's equations apply for a vacuum. Charge and current densities are missing here, and thus do not correlate with what you tried to explain afterwards.
Funnily enough the Maxwell Eq's as shown describe none of the effects advertised, bc you only showed the source-free version that can only describe light in an empty space.
Important fact, special relativity doesn't say that the laws of physics are the same for everyone, just for inertial observers. GR says that the laws of physics are the same for everyone. Also E=mc² by far isn't the key equation in relativity. I'd write down the Einstein field equations G=8πT, or the metric dS² (as a function of x,y,z,ct) or both. From these you would be able to deduce everything whike E=mc² isn't even coordinate independent
I disagree, the field equations have much less of a profound impact on most applications than mass energy equivalence. E=mc² changed our understanding of all chemical and nuclear reactions. It also made every continuity equation an energy balance. I may be biased tho bc I’m a nuclear engineer
@@ReapersRed I'm also biased since gravity is my field of study. But, when it comes to physics, GR is just insane. It totally changes how we see spacetime. It's dynamical now. It's part of the game, and Einstein's equations tell us how. E=mc² is important but on itself isn't a fundamental equation. P²=-m²c² is the fundamental equation (P is the four momentum). Or E²=m²c⁴+p²c². The way I see it is this (it's rather a physicist's perspective I guess): if someone gives you the formula, tells you about the symbols and what they mean and then lets you play with it (experiment with it), E=mc² will be more useful, that's true (on Earth at least. So many results of GR can't be tested easily here, such as black holes etc) but also, after sometime you'll see that it's wrong (it's frame dependant). It doesn't always work. While Einstein's equations always work (at the Einstein gravity framework let's say, which is much larger than the framework in which E=mc² works). That's what I mean by more fundamental. Especially when it comes to relativity what you'd do is give these equations and then Newton's law (+ geodesic equations) and everything else is derivable from these. dS² is the key of relativity. You know that, you prove everything else. And you find that by solving Eisenstein's equations.
One small correction: Maxwell's equations have a different form in the general case. It should be: ∇ · *D* = ρ ∇ × *E* = - ∂ *B* /∂t ∇ · *B* = 0 ∇ × *H* = *j* + ∂ *D* /∂t where *D* is the electric displacement vector(which depends on *E* but also the polarization), *B* is the magnetic induction, ρ is the local charge density, and *j* is the local current density. Also, the 1/c factor in your video comes from Gaussian units, but in standard SI units, there is no 1/c.
The Einstein Field equations should really be shown for relativity instead of E = mc^2. The simplified reduction to rest mass energy is much less important than the other aspects of relativity.
Definitely not. Special relativity pops out of Maxwells equations, but e = mc^2 is truly something revolutionary. It fundamentally changed our understanding of how every conservation equation works at its core. We learned all chemical and nuclear reactions are fundamentally changing from energy to mass or Vice versa. All continuity equations are just energy balance at the end of the day. The only people that care about space-time curvature from general relativity are astrophysicists, but so many fields care about mass energy equivalence.
@@ReapersRed This is the rebuttal I would give too lol. Also how tf can you explain Einstein Field Equations in the same way as E = mc^2, it doesn't exactly roll of the tongue.
Those were Maxwell's equations for vacuum. No charge, no divergence. Same for curl of H: the j current is missing if you want to consider the general case, not only vacuum.
When first exposed to logarithms people often get hung up on which base is being used (and it is important in some situations - the natural log in calculus for example), but the properties of logarithms used to simplify arithmetic work in every base. That is what makes them so fundamentally useful.
ENTROPY? MEASURE OF DISORDER? Completely incorrect, entropy has nothing to do with order. Entropy is related to the number of possible micro states, which increases in the path to equilibrium.
@ 0:39 The analogues of the trigonometric rules in non Euclidean geometry are approximately the same as the ones in Euclidean geometry if the sides are very small
From the beginning of video to schrodinger i was like oh i know that but after schrodinger it was like oh its whole new level shit i dont even know about one thing in that equations even though video gives me the information about the terms.Still far away from understanding universe.
Nah most of is ODE , when working in classical mechanism, i found that. I cant solve Lagrange equation without know how to solve ODE , so i found the paper in library for a month ,then collect pieces of information in many major from economy, fluid mechanic , social science , chemistry, electrical engineer, industry design, architecture , computer science . i found that all that product/model that the majors are currently using is ODE form or a expression of eignvalue of ODE .😅 i take a advantage that school only teach how to calculate, so if i know ODE form i can solve all topic of relevant major, and it true . in accounting and law they mostly using algebra and tree thoery, mixed human factor . then i reveal the world " godfather" according relevant topic both legal and illegal, then it lead me to a rich rss as know as social science. right now. I m development tool to efficiency the knowledge flow , it will be released in further. Moreover , the value which is the partial value of ODE sometime called as "MARCO" , fine, complex, formula ... It have many form, and suffix "ian" ,which mean perform smt ,make the world " mathematician " really have own. meaning. Thanks to visit my TED talk
1:18 “The most common bases are 10 and 2”
Natural log/log base e: am I a joke to you?
They are *ln*
@@akshat_senpai too bad for me! i thought they're Out
I thought that too. haha.
@@akshat_senpaiactually mathematicians just use log and it’s understood that we mean ln
@@justinjames2436 i was taught that if you put log it means you have base 10
The description of the Maxwell's equations apply for a vacuum. Charge and current densities are missing here, and thus do not correlate with what you tried to explain afterwards.
Then why don’t you make a video instead of complain g in the comments?
@@levelup2014he pointed out a flaw in the video so that we can all be better informed, this is not a negative thing
@@levelup2014hey, if i want to criticise a president, does that mean i have to be a president first to be able to?
@@levelup2014why don't you grow some balls and realise he just pointed out mistake for people who are interested
Damn nigga tf ia current density that's sounds tuff asf gotta learn about to it
1:19 What, no love for the natural log, base _e??_
i was gonna say it had to be higher than base 2 even
Funnily enough the Maxwell Eq's as shown describe none of the effects advertised, bc you only showed the source-free version that can only describe light in an empty space.
Important fact, special relativity doesn't say that the laws of physics are the same for everyone, just for inertial observers. GR says that the laws of physics are the same for everyone. Also E=mc² by far isn't the key equation in relativity. I'd write down the Einstein field equations G=8πT, or the metric dS² (as a function of x,y,z,ct) or both. From these you would be able to deduce everything whike E=mc² isn't even coordinate independent
I disagree, the field equations have much less of a profound impact on most applications than mass energy equivalence. E=mc² changed our understanding of all chemical and nuclear reactions. It also made every continuity equation an energy balance. I may be biased tho bc I’m a nuclear engineer
@@ReapersRed I'm also biased since gravity is my field of study. But, when it comes to physics, GR is just insane. It totally changes how we see spacetime. It's dynamical now. It's part of the game, and Einstein's equations tell us how. E=mc² is important but on itself isn't a fundamental equation. P²=-m²c² is the fundamental equation (P is the four momentum). Or E²=m²c⁴+p²c². The way I see it is this (it's rather a physicist's perspective I guess): if someone gives you the formula, tells you about the symbols and what they mean and then lets you play with it (experiment with it), E=mc² will be more useful, that's true (on Earth at least. So many results of GR can't be tested easily here, such as black holes etc) but also, after sometime you'll see that it's wrong (it's frame dependant). It doesn't always work. While Einstein's equations always work (at the Einstein gravity framework let's say, which is much larger than the framework in which E=mc² works). That's what I mean by more fundamental. Especially when it comes to relativity what you'd do is give these equations and then Newton's law (+ geodesic equations) and everything else is derivable from these. dS² is the key of relativity. You know that, you prove everything else. And you find that by solving Eisenstein's equations.
Where is the variational principle?? Giving birth to the principle of stationary action, basically the most fundamental principle in physics.
One small correction: Maxwell's equations have a different form in the general case. It should be:
∇ · *D* = ρ
∇ × *E* = - ∂ *B* /∂t
∇ · *B* = 0
∇ × *H* = *j* + ∂ *D* /∂t
where *D* is the electric displacement vector(which depends on *E* but also the polarization), *B* is the magnetic induction, ρ is the local charge density, and *j* is the local current density. Also, the 1/c factor in your video comes from Gaussian units, but in standard SI units, there is no 1/c.
The Einstein Field equations should really be shown for relativity instead of E = mc^2. The simplified reduction to rest mass energy is much less important than the other aspects of relativity.
Definitely not. Special relativity pops out of Maxwells equations, but e = mc^2 is truly something revolutionary. It fundamentally changed our understanding of how every conservation equation works at its core. We learned all chemical and nuclear reactions are fundamentally changing from energy to mass or Vice versa. All continuity equations are just energy balance at the end of the day. The only people that care about space-time curvature from general relativity are astrophysicists, but so many fields care about mass energy equivalence.
@@ReapersRed This is the rebuttal I would give too lol.
Also how tf can you explain Einstein Field Equations in the same way as E = mc^2, it doesn't exactly roll of the tongue.
Everyone is complaining about the lack of source fields in Maxwell’s Equations while I can’t believe you wrote them in GAUSSIAN UNITS 😭
Bell's Inequality, Euler's Identity
Woke mathematical justice warriors, whinging about equality and identity maths.😆
No.... There not
@@LordMarcusyour accounts older than me,dang
Bro you just explain the book of the king Ian stewart but it s cool
Yes, I've read "17 equations that changed the world" too.
Isn't black-scholes just navier stokes partial solution recontextualized? Why is navier stokes on there twice?
It‘s not Leonard Euler. It‘s Leonhard Euler. Please learn how to pronounce the names correctly.
7:16 slight mistake, the divergence of the E-field is not 0. Other than that amazing video 😁
Those were Maxwell's equations for vacuum. No charge, no divergence. Same for curl of H: the j current is missing if you want to consider the general case, not only vacuum.
5:42 interesting set of limits
ΔU = Q - W
I'm so mad, at least you included entropy lol
slight mistake, eulers polyhedra formula only states true if the body has no holes aka isnt a torus in topology
The normal distribution misses a minus in the exponential. Good video otherwise :)
Maybe he intends it for imaginary x 😂
When first exposed to logarithms people often get hung up on which base is being used (and it is important in some situations - the natural log in calculus for example), but the properties of logarithms used to simplify arithmetic work in every base. That is what makes them so fundamentally useful.
ENTROPY? MEASURE OF DISORDER? Completely incorrect, entropy has nothing to do with order. Entropy is related to the number of possible micro states, which increases in the path to equilibrium.
3:38 *mentions whole numbers, doesn't mention 0*
*lists natural numbers, lists 0*
bruh dafuq
Where are the dual bases equations bruh
7:38 div.E= rho/r ( in which rho is density and r is distance of point charge) isn't it?
THIS IS AMAZING STUFF!!!!
you just earned a new subscriber!
SCIENCE IS AWESOME🗣🗣🗣🗣🗣🔥🔥🔥🔥🔥🔥💯💯💯💯💯💯💯
Uhm, the standard model langrangian?
laplacian?
Lagrangian
@@Quant_mL i was confused with the laplace transform
@ 0:39 The analogues of the trigonometric rules in non Euclidean geometry are approximately the same as the ones in Euclidean geometry if the sides are very small
From the beginning of video to schrodinger i was like oh i know that but after schrodinger it was like oh its whole new level shit i dont even know about one thing in that equations even though video gives me the information about the terms.Still far away from understanding universe.
🤣 same
principle of least action?
Decibels are the logs I roll!
euler lagrange equation?
New subscriber
Nice
Informative
Stop talking like that.
Nah most of is ODE , when working in classical mechanism, i found that. I cant solve Lagrange equation without know how to solve ODE , so i found the paper in library for a month ,then collect pieces of information in many major from economy, fluid mechanic , social science , chemistry, electrical engineer, industry design, architecture , computer science . i found that all that product/model that the majors are currently using is ODE form or a expression of eignvalue of ODE .😅 i take a advantage that school only teach how to calculate, so if i know ODE form i can solve all topic of relevant major, and it true . in accounting and law they mostly using algebra and tree thoery, mixed human factor . then i reveal the world " godfather" according relevant topic both legal and illegal, then it lead me to a rich rss as know as social science. right now. I m development tool to efficiency the knowledge flow , it will be released in further.
Moreover , the value which is the partial value of ODE sometime called as "MARCO" , fine, complex, formula ... It have many form, and suffix "ian" ,which mean perform smt ,make the world " mathematician " really have own.
meaning.
Thanks to visit my TED talk
Great video!)
E = 89875517873681764m
hopefully one day i ll come back to this video, truly undrerstanding all the equations.
you know am right? E=mc² m is 5he masses and c is the accident
Schrodingers equation, at its core,is actually a variant of the heat equation
DRAKE's equation
1:12 TPOT mention lol
Retard. Retard.
Not trying to sound in rude and toxic tone
I never made any content for you and I am not present in this video or any content
I sent this to my friend who hates math to make him faint. 😂
Cool
3:50 Isn't 0 an Integer, not a Natural number?
What is V + F - E = 2 useful for?
Important in material science
Important for graph theory
Topology
It was literally explained in the video that it was crucial for topology and physics
for finding the penile length, here V = 2 (2 balls), F = 4 (Number of sperm ducts + fallopian tubes) and E = 2 (Mental agility)
Kewl
since when logarithms are equations at all lol
BREATHE
Love your channel!!!!!