Відео

Well, harmonic oscillators are everywhere but I didn't get your comment!!!🤣🤣🤣

Thanks!!!🤗🤗🤗

Glad you liked it!!!🤗

Thanks!!!🤗🤗

@@JonnyMath Do you like programming? It seems like you are good in this or might be)

Thank you sooooo much!!!!🤗🤗🤗

In fact dx does NOT approach 0. It's just a common Δx. I write dx unstead of Δx because the differential dx of f(x)=x is 1 hence df=dx since the function is x we might as well adopt this notation and this equals to Δx since f'(x)=1

Forget this dx to be the same notation in integrals.... The dx for integrals is there because it tells us what variable are integrating with respect to

Thanks you soooo much!!! Sorry if the video is kind of too long but I'll try to make shorter, more concise and more enjoyable videos!!! If needed (and it surely will) I'll post several videos to chop a topic into more digestible pieces!!!🤣🤣🤣 Also possible for me to record!!! All in one go would be tough!!!🤣🤣🤣

@JonnyMath the long video isn't bad video. It's impossible to acquire the topic (especially the science) fast. It would be better if there were bigger videos with more explanation)

@YvesRadvirr There is a beautiful channel called Physics Explained!!! I really urge you to check this videos!!!

@JonnyMath Oh, thank you! Recently I set myself the goal of learning mathematics, because in 2 years I will be entering university, and in order to enter there for free, you need to pass a good math test. Thank you for your help

@YvesRadvirr Where are you from???? I'm from Italy, I'm 18 and next (or better this year in September🤣) I'll study physics in Rome🤩🤩🤩

Yes, but not because the dx's cancel out😅🤣 Btw, I don't know why I got obsessed with differentials but I came to the conclusion that physicists' prospective is always worth considering😅

But apart from that then differentials are build on that definition😅🤣🤣

Noooo!!!! The dx I've defined is not zero!!!! It's just a number!!! I use dx because the differential (according to my definition) of f=x is Δx so it's convenient to write df=f'(x)dx but df is the linear increment of the function and f'(x) is the derivative (defined using limits) but the Δx -> 0 in the derivative IS NOT THIS dx

I define df as f'(x)Δx and it's convenient to replace Δx with dx because of that reason!!!!

dx is not zero on its own.

Don't worry!!! The more you deal with it the more it becomes familiar😉😅🤣 But that's the way it is!!!😅🤣

O love explaining stuff!!!😅🤩🤩🤩😉🤗

Dimmi come posso spiegare meglio😅🤣

@@JonnyMath Io non posso dirti nulla!😂 Comunque bel video, aspetto il prossimo👍🏻

@@crt24501 Grazie!!!😉

hi can you share me some way I can connect with you more? I have a problem interesting enough to make a video on, based on circle of parity but writing the details out here is tough....

it's on the probablity that circle of parity of full length happens in a round Robin matchup

Yes thanks you can send me everything you want on my email (you can find it in the info page of the channel)

I have recorded 2 videos so I record it when I have some spare time!!!

Yes absolutely that's COOL!!!😅🤣

Wow!!! Thanks!!! Yes, I also want to become a physicist!!!😉🤗 But I still have to wait 1 year to go to university!!!

Tu stai studiando fisica???

Ho registrato un video ieri sul pendolo semplice ricavando l'equazione del moto dal momento torcente. Spero sia ben fatto solo che co vuole troppo a caricarlo su yt quindi lo farò questa sera penso😅🤣

@@JonnyMath No, io adesso inizio il primo anno di Uni. Comunque molto interessante quello che fai sul canale! Aspetto il video sul pendolo.

@@crt24501 Fisica???

That's sooooo true!!!😉

@APaleDot That argument was needed to explain why we replace Δx with dx!!! Sorry, I wasn't that clear so I made another video about it (~2 minutes) where I explain why dx=Δx 😉🤗

Thanks!!! If you want more details you can check the other video and I'm sure you'll understand be ause it's trivial once you know what I'm talking about😅

You can actually treat this form of dx as the one that appears in the integral, which works out algebraically and can be made rigorous if you use the formalism of differential forms

Thanks!!! Wow I didn't know that because I didn't fully understand your comment under the other video!!!😅🤣

For instance the delta(x) in f: x |-> x, could be greater than g: x |-> x*f(x) and that's why the linear increment of the curve its greater in g because vertical increment differences its beeing considered even more negligible conparing it to the denominators. I mean I get that the dx must be equal to the h, what I'm saying its that you didn't justified why it is a constant for every function, I don't think it is the case because you can never find a value for dx neither dy you just get a "ratio" but you cannot determine what part of the expression its dy and what is dx

Thank you for your comment I wasn't that clear... I'm uploading a video now on tiktok where I clarify what I said!!! I hope you understand what I'm saying!!!🤗

It's just 2 minutes long so it is not a long video but remember that these differentials aren't the ones that mean "infinitesimal" like the dx of the integral😅

Do you also make maths videos??? I read rendoesmath😅🤣

Well I don't really know why... Probably because fractions generate Rational numbers while ratios in general just mean division???🤔🤔🤔 I need to find it out!!!😅🤣

​@@JonnyMath I have never heard a distinction between the two and always thought theh meant the same thing, and I still continue to think so

Ratios are vectors in essence (they are tuples with an unboundead number of components) fractions on the other hand are bounded by being pairs, furthermore if we interpret fractions as rational number we can certainly say that every fraction define a ratio, but not every ratio defines a fraction. Rationals are equivalences classes that's why taken t fractions with the same ratio they are the same rational number

Yeah right, why do we call some numbers integers just because they happen to have no decimal places and others are called real just because they happen to miss some i part. Just call them all numbers, right?

Firstly the dy and dx I was talking about aren't the dx that appears in the integral sign. I said that you can think of dy/dx as pure notation (describing them as you said) or an operator or in this way where dy and dx even though have the same symbol refer to different things!!! This is a sort of notations trick to have a derivativ# as a ratio of finale quantities!!!😉

Well, that approach is everything but rigorous.

What approach isn't rigorous???😅

Thanks!!!😉🤗

Thanks!!! I've always considered dy/dx as a notation and d/dx as an operator!!! I use Photoshop!!!

Thanks!😉🤗

😅🤣

🤩🤩🤩😅🤣

Cool thanks!!!!😉🤗

This kid has no idea what he is talking about. He had never heard of differential forms let alone the subject of analysis, topology, measure theory, and rigorous proof, he proboably read an American middle school calculus textbook and I can see that he is a ph*sycist which explains his lack of logical detail and depth of understanding. This is a common trait of ph*sics fans getting too confident about their mathematical understanding. Please, stick to calculating the speed of a frictionless cube on an inclined plane with no air resistance… don’t post videos like this and not expect to be made fun of 😂😂😂

if only youtube supported latex

@machine-boy That would be ridiculously incredible!!!🤩

First I'm not a physicist... yet... Second I've been studying more maths than physics on an Italian real analysis textbook. Then if "my" reasoning doesn't work for you I think you should watch the vudeo again and understand that what I'm doing IS (and I'm 100% sure about that) CONSISTENT and RIGOUROUS!😅🤣🤣🤣 Then yes I certainly know nothing compared to both of you but I'm young and respect those who know more than me. I'm not arguing (because I can't) about these differential forms because I've never studied them before. But please understand that what I'm talking about is 100% TRUE!😉🤗

Thanks!!! Yes dint worrying won't happen if you don't touch it!!! And honestly writing on a whiteboard isn't like writing in paper so your hand won't touch it!!! I recommend a whiteboard because it enables you to do maths in a cool and effective way!!!😉🤩

@@JonnyMath if I actually get one I’m learning the pen switch technique immediately and then do every single bracket with a different colour xd

@@Xponent-nb3he Yes it's nice but I find it easier with thinner markers!😅🤣

Physicists approve😅🤣

Yes you're right so do I!!! Leibniz notation is the BEST!!!😉