"Exponential decay occurs throughout physics and engineering ..." Well, I wouldn't call our situation all that bad. At least we have your videos 😊

It will take considerable time to wrap my head around this, this is invaluable sence all we have is time.

Every video you make is a gem. Thank you!

@EugeneKhutoryansky

Жыл бұрын

Thanks for the compliment.

Such an elegant Mathematical analysis of Zenos paradox! A gem!

@EugeneKhutoryansky

Жыл бұрын

Thanks.

A good follow up to this would be expanding on underdamped, critically damped, and overdamped responses in physical systems, which are the real tools used across many disciplines to explain just about everything.

@fahimahmedbhuiyan2252

Жыл бұрын

That's exactly what I thought when I came across the video😅!

My mentor! This is the best ever intuitive video about exponential decay that I have even seen... I loved the way you brilliantly made the use of cokors in your equations of black and red curve.. This is the thing which you and only you made me memorize in 12 mins which I couldn't even memorise in 45min if I were using a book.. Thanks to your smart work. I also find a lot of difficulty in making the differential equations that describe the behavior of physical systems.. I am good at solving differential equations but I am really bad at making differential equations... Will you please make a video on the easiest way to make a differential equation for any system.. I would be very thankful to you and my happiness will know no bounds if you make this in future.. 🌹🌹🌹💐💐

@EugeneKhutoryansky

Жыл бұрын

Thanks for the compliments. Differential equations are on my list of topics for future videos.

Love it. This was the equation (or at least a form of it) we used in school for capacitor/inductor charge when predicting pulse wave forms.

@EugeneKhutoryansky

Жыл бұрын

Thanks.

Your videos are making me understand the topics exponentially. You are the best.

@EugeneKhutoryansky

Жыл бұрын

I am glad my videos are helpful. Thanks.

I am always happy when I see Eugene has released a new video :)

@EugeneKhutoryansky

Жыл бұрын

Thanks.

thanks!Best knowledge and good music...it is wonderful

@EugeneKhutoryansky

Жыл бұрын

Thanks for the compliments.

Your videos literally make me happy and whenever I see your new videos, I just dive in right away ❤!

@EugeneKhutoryansky

Жыл бұрын

Thanks!

p.s. the exponential isn’t coming from nowhere. It often comes from simple ODEs

Greetings from Paraguay. I follow your work since 2014. Great content, it is unvaluable.

@EugeneKhutoryansky

Жыл бұрын

Thanks for the compliment about my videos. I am glad that you like them.

I have learned a lot with each of your videos, thank you :)

@EugeneKhutoryansky

Жыл бұрын

Thanks.

@David_Lee379

Жыл бұрын

I’ll second that!

Thank you, I have learned a lot from these videos!

@EugeneKhutoryansky

Жыл бұрын

Thanks. I am glad my videos are helpful.

Love the car number plate! But seriously, great video and great explanation! Plus love the worldly advice too LOL, so true!

@EugeneKhutoryansky

Жыл бұрын

Thanks.

Exponential Decay seems to correspond well for us software developers.. Super to see a new video here.

Oh boy, did I miss this beautiful voice and the unsettling animations.

I am happy like a child's curiosity is satisfied while watching your videos. You add perspective on the universe and its foundations. I understand mathematical expressions better by turning them into images in my mind. All I need to learn is an explanation from someone like you.

@EugeneKhutoryansky

Жыл бұрын

Thanks. I am glad you like my explanations.

Thank you very much ❤️ for your great educational videos and your compassion (vegan for animals).

@EugeneKhutoryansky

Жыл бұрын

Thanks.

2:40 you just called out the entire business sector right there

Man your content deserves millions of views and subscribers

@EugeneKhutoryansky

Жыл бұрын

Thanks.

Beautiful video excellent explanation. Thank you.

@EugeneKhutoryansky

Жыл бұрын

Thanks for the compliments.

Love the videos on this channel.

@EugeneKhutoryansky

Жыл бұрын

Thanks.

Perfect soundtrack for the subject, thank you

@EugeneKhutoryansky

Жыл бұрын

Thanks.

Awesome video, my favorite channel for years now

@EugeneKhutoryansky

Жыл бұрын

Thanks!!!

2:41 was brutal yet honest, that is pretty much what happens with so many bussineses

Love your vids.

@EugeneKhutoryansky

Жыл бұрын

Thanks.

Amazing, love this

@EugeneKhutoryansky

Жыл бұрын

Thanks.

Thank you I am following you from Afghanistan.

@EugeneKhutoryansky

Жыл бұрын

Thanks. I am glad you like my videos.

I have learned on school that a capacitor may be seen as 'full' after 5 Tau (or empty when discharging). Always good to draw a line on infinite functions.

That stab at continuous improvement though.

Many thanks! It puts a smile on my face every time you release a new video. Where are you based?

@EugeneKhutoryansky

Жыл бұрын

Thanks. I live in Houston.

Zeno's paradox-ish

In any one instant of time a boiler producing 5,000 pounds of steam per hour would have how many pounds of steam entrained within the water of the boiler?

Your all videos bro best 👍👏

@EugeneKhutoryansky

Жыл бұрын

Thanks for the compliment.

Hlo Eugene, How come the position and momentum are independent variables in Hamiltonian mechanics? Consider SHM Hamiltonian when we change position , Momentum changes right? Both are related to each other right? Thank you

Brilliant !

@EugeneKhutoryansky

Жыл бұрын

Thanks.

Excellent explanation!

@EugeneKhutoryansky

Жыл бұрын

Thanks. I am glad you liked my explanation.

I love this channel

@EugeneKhutoryansky

Жыл бұрын

Thanks.

And that's why, kids, Achilles the Swift was beaten by a turtle: exponential decay, alias Achilles' sophistry curse. Honestly I was sorta disappointed by the car going ever slower example, something that doesn't really happen in real life. Still an interesting issue in terms of fundamental physics.

Zeno's mini cooper?

How do you reach your goal if you can only walk halfway there in equal time intervals? So first you will need a pair o' Docs.

How to you create your videos and what tools du u using for videos??

@EugeneKhutoryansky

Жыл бұрын

I explain how I make my 3D animations in my video at kzread.info/dash/bejne/aHygl8avcZuehdI.html

Thanks. Your video made me think a lot. t->endless means never stop. Keep simple. Keep kind. Keep share. t->endless We are infinitely close to the truth. Bro Never Stop.

@EugeneKhutoryansky

Жыл бұрын

Thanks.

Hello , is this animation also made with Anime Studio? I would like to do a similar demo video , too. At the same time, I want to ask you how to get started with this kind of animation production.

@EugeneKhutoryansky

Жыл бұрын

My 3D animations are made with "Poser." I have a video where I explain how I make my 3D animations at kzread.info/dash/bejne/aHygl8avcZuehdI.html

@casehuae8109

Жыл бұрын

Wow! thank you so much . 😘😘😘😘@@EugeneKhutoryansky

Hello Mr khutoryansky, I've just Ended high school, your videos are helping me a lot, especially in understanding what lies "behind the formulas" and also in visualising or confirming some of my visualizations of some phenomena, physics are really not the same in school, many students and teachers just learn everything even formulas ( for example I'm studying the atom structure now, teachers only want us to learn the formulas by heart ( number of electrons in a shell 2n², in a sub shell 2(2l+1) and stuff like that, especially for klechlowsky rule, I still struggle to understand from where it comes only taking consideration interactions between charges, but they only asked us to learn by heart) ... if animation like yours where used in teaching I'm sure it would really bring great benefit, it's better to fully visualise and understand with an intuitive way 10 phenomena than learning 50 formulas. The thing is to explain EVERYTHING starting without admitting anything starting from only 2 things: A mass attracts another mass Positive and negative charge attract each other, the same charges reject each other. With these two we can explain all the physics, all the phenomena should be explaining starting from these 2 rules and then start building with logic, it would be so great if in high schools or universities all the phenomena were explained beggining from these 2 principles and building progressively as you do... Anyway, thank you very much for all the efforts you are doing , you help a lot !!!

@EugeneKhutoryansky

Жыл бұрын

Thanks for the compliments and I am glad that my videos have been helpful. What you describe is a very common problem in science and math education. If you haven't seen it already, I actually have a video where I talk about this titled "How not to teach physics" at kzread.info/dash/bejne/nWqFysqok9HAXbA.html

@Khalid-Ibn-Al-Walid

Жыл бұрын

@@EugeneKhutoryansky Thank you very much for the video ! This is clearly descrining what I was thinking at, you showed really well what was the problem with nowadays education system. hope the situation will change and that some "official institutions" may finally understand that the real understanding of science's cannot be made only by the use complex mathematical formulas, but by visualisation as you said in the video. I think that if this (visualisation of phenomena and their intuitive/logic explanation ) was taken as a priority by high institutions, it will really change the course of the evolution of engineering (inventions), because new concept idea never come from looking into mathematical formulas and variables rather new inventions come from the visualisation of phenomena that allows to imagine lot of new scenarios where we modify some parameters of the phenomena. Btw thanks again for sharing these exellent videos ! For the moment I find your channel to be the best one for visualizing phenomena, understanding them and especially in explaining everything step by step ( I mean without admitting formulas or principle, rather by explaining them)

@EugeneKhutoryansky

Жыл бұрын

Thanks!

Great, 👍🏼

@EugeneKhutoryansky

Жыл бұрын

Thanks.

Love from Bangladesh

@EugeneKhutoryansky

Жыл бұрын

Thanks.

👍👍👍👍

This video looks nice but it could be better if you added some explanation on how those physical systems behave like that. Mathematically, this means the rate of losing something is proportional to the current amount. For the electrical examples, you can take the instantaneous potential difference, current, electromotive force, etc. to show the aforementioned relationship. For the radioactive decay, maybe this deserves another video. It's an interesting topic because instead explaining the exponential decay, we can use the observation to understand more about it. The exponential decay shows its spontaneous nature, especially the aspect of "no build up". To understand that, you should look at what "with build up" looks like. Let's say we have some houses, built in the same way, stay in similar conditions, and they "randomly" get damage over time. It's not actually the same "randomness" as radioactive decay, but still "random" in the sense of we can't exactly predict it. If you see 2 houses standing, you see no apparent difference, and you are provided the fact that one of them was built 10 years earlier than the other; then which house do you expect to collapse first (if both of them are left unattended)? Reasonably, the older house is likely to collapse first, because even if we can't see any apparent damage, there can be damage built up inside. The probability of "still standing" of one of those houses over time is NOT in the form of exponential decay. It's different for radioactive materials. We can observe a radioactive material from its creation. Let's say: - in day 1, we take 10 billions radioactive atoms created in day 1 to put them in the first box; - by day 2 there were 1 billion of them left in the first box; - also by day 2, we take 1 billion radioactive atoms of the same type created in day 2 to put those new atoms in the second box. By day 3, which box do you expect to have fewer radioactive atoms? Is that the first box because there are likely unobservable built up damage/instability in the atoms in the first box? The experimental answer is that those two boxes have the same expected rate of decay (they may not be exactly the same, but the probability of one being more than the other is the same as vice versa, just like counting the times of head and tail when tossing a coin for many times). This predicts there is no "built up damage/instability". You may think of "no built up damage" as for every minute, you toss a dice, if the dice lands 1 then you break a box, otherwise the box is left intact. But this would suggest a basic period. And so far we can't find such basic period for radioactive atoms (if such basic period exists, it would have very short time for each period). In quantum mechanics, we calculate/explain it as the wave function for all "haven't decay", "decay at t_1", "decay at t_2",...(with infinite and continuous list of moments in time) just exist together. By Copenhagen interpretation, when you observe them, they collapse into a particular case, for example: "decay at t_2", and other cases cease to exist. By multi - world interpretation, there are many world with many "you" observing the radioactive atoms, with each of "you" being able to interact with only one matching case, not the others; for example the "you" of "this world" can only interact with the products of the case of "decay at t_2", not the yet-to-decay atom in another world (which can be observed by the "you" in that world). Side note: editted to use more accurate words.

What if what we call "physical constants" are in fact variables that grow slowly toward their actual values? And so slowly that we consider them constants? Would it be possible that the speed of light change through time? And maybe explain things like what we call dark matter?

@SplendidKunoichi

Жыл бұрын

if what we call light ever changed it's speed, i'd mostly be concerned with how any possible changes in what we call speed could've been ruled out first..

in the 7th or 8th grade when we dealt with exponential functions i had the thought of halving the speed of a car until it stops and realized it will never stop if space is infinitely divisible so this sparked some physics questions about the nature of motion which my physics teacher couldnt resolve 😅

@jmchez

Жыл бұрын

That's just a version of Zeno's arrow paradox, which Aristtole thought was absurd and, which Isaac Newton solved by explain it with calculus. In the real world, you would reach a distance of one atom and, there, Heisenberg's uncertainty principle makes the "How far are you?" a moot point.

A new video... 👍🏻

Exponential decay is what I see in the mirror every morning.

First view and like❤️

@andrewcheng1948

Жыл бұрын

L

moores law just hit my brain

Very god pozitif bms movi batary neew movi ples very good movi thenk you

very good explanation Love from India

@EugeneKhutoryansky

Жыл бұрын

Thanks. I am glad you liked my explanation.

@sanket__bharti

Жыл бұрын

@@EugeneKhutoryansky event i should be thanks for giving a good visual explanation

❤

Infinity as a number seems a little sketchy. What is infinity -1? Or is it just turtles all the way down?

You could’ve explained more the idea that exponential means: changes with a fixed proportion to the current quantity. So it doesn’t care about anything else. If we take cells proliferating, you would have one cell then two then four then eight. You can see that the bigger the number the bigger the speed of proliferation (cells produced per second), and if you double the cells you double the speed (from 4 to 8, now i go twice faster meaning from 8 tp 16) so V=kN with v as the speed of proliferation and N the number of cells or let’s say dN/dt= kN. You can see that dN/N = kdt is fixed for a certain time interval. And that’s the idea. Then you could write N= No/e^(t-to/tao). and the time that has passed compared to the time constant determines the decay, so a t-to that is equal to ln2*tao would make the exponential e^(ln2) and thus you’re dividing by 2. If equal to aln2*tao then e^(aln2) thus you’re dividing a times by 2 and the ln2*tao is what we call t1/2 half life, but you don’t have to include this in the video am just adding information. An atmospheric pressure is also decreasing exponentially for example. It’s because it decreases with a fixed amount compared to what it has. That’s why we find the exponential function more than other functions in nature (it makes sense, and it gives you the change per change in time no matter how big it is. It tells you look, after a fixed amount of time or distance, you change by half of what you have, wait the same time or distance, it changes by half what you have. Try to understand these ideas but of course it’s just a comment i can’t provide a clearer explanation

@EugeneKhutoryansky

Жыл бұрын

I address this in more detail in my video on exponential growth at kzread.info/dash/bejne/iKWXk69qkcqxl6Q.html

Thank you sir

@EugeneKhutoryansky

Жыл бұрын

You are welcome and thanks.

Please, consider having a 'Thanks' button under your videos. That way anyone can donate to you with ease.

@EugeneKhutoryansky

Жыл бұрын

I have never heard of this before. I will look into it.

@EugeneKhutoryansky

Жыл бұрын

By the way, I already have a Patreon page where people can donate. The link is on my KZread home page.

@KaranSuman

Жыл бұрын

@@EugeneKhutoryansky Yes, I know that you have a Patreon page. However, aren't two ways to donate better than only one? The feature I am talking about is known as Super Thanks. Please, consider taking benefit of it.

I used your differential for such control and borrowed the idea from you, but its implementation requires a lot of effort...

Bienvenidos a reduzca!

Where are you from?

@EugeneKhutoryansky

Жыл бұрын

I was born in the Soviet Union, but I have lived in the United States since I was four years old.

Software use for these type of animination

@EugeneKhutoryansky

Жыл бұрын

I make my 3D animations with "Poser."

Mmmm😊

Nice, I like the last couple minutes where you move away from the purely mathematical formulation and talk about how the concept is applied to real situations. I think this is the most important bit with things like this, sure the mathematical properties are interesting, but how do they apply to actual particles or objects...

@EugeneKhutoryansky

Жыл бұрын

Thanks.

10:30 if a particle is 0.5 it means 50% of the time the whole particle is there

Pozitif kurrent batary movi ples thenk you

Videolarınıza lütfen Türkçe çeviri altyazısı katın

@EugeneKhutoryansky

Жыл бұрын

Many of my videos have Turkish subtitles available.

It would have been great if you started with definition of exponential…

Zeno enters the chat at 0:30.

Can you make a video about exponential radioactive decay? Allegedly, radioactive decay of ONE particle is "indeterministic" and totally random. Still, half-life time is EXACTLY determined (and different) for every material. Something must be wrong with quantum physics here.

@EugeneKhutoryansky

Жыл бұрын

There is nothing wrong with quantum physics here. This is just the "Law of Large Numbers." I cover this in my video "Probability - Quantum and Classical" at kzread.info/dash/bejne/imaZ0c-vZrvMh9I.html

Is e Euler's constant or am I missing something

@EugeneKhutoryansky

Жыл бұрын

It is Euler's number. Euler's constant is not the same thing as Euler's number.

@etherealpizza

Жыл бұрын

@@EugeneKhutoryansky thank you

Reminds me of the half life of prescription drugs...

0:30 Vegan for animals. Love you!

@EugeneKhutoryansky

Жыл бұрын

Thanks!

Plot out all the ages of the main characters given in the bible from the time post flood and guess what? You get an exponential decay curve. Now either the authors knew about this law (highly unlikely) or the authors were describing what they saw, which is much more likely.

Effect of biological stimulus is another example.

Shout out to the Jojo fans out there who get this

Zero entropy = ♾ negentropy

Im tripping balls…..

2:45 @ obama

Quien lo tradusca al español se ganará las gracias y miles de like.

The analogy to "continuous improvement" isexcellent

@EugeneKhutoryansky

Жыл бұрын

I am glad you liked the comparison.

@anirudhgoyal5603

Жыл бұрын

@@EugeneKhutoryansky can you please elaborate it a bit further.

is time the anti-matter ?

@jareknowak8712

Жыл бұрын

No. Time is a dimension. A-M is a type of physical object.

@reoproedros

Жыл бұрын

@@jareknowak8712 if there is something like anti-matter , why should it be positioned in space , like matter is ?

@jareknowak8712

Жыл бұрын

@@reoproedros For example - we can produce a tiny amount of AM in CERN, and CERN is located in space-time. The difference bt "normal" matter and AM is the opposite sign of electric charge and differencies is quantum numbers. AM have the same mass.

@reoproedros

Жыл бұрын

@@jareknowak8712 thank you . i have to read more to catch up

Mam, please gave response to my mail....I'm confusing about one question so please help me.

Batary movi ples

@EugeneKhutoryansky

Жыл бұрын

I have a video on batteries at kzread.info/dash/bejne/p2h60sSafbqbo84.html

@ameuelang6159

Жыл бұрын

Oh boy what's that batary?

@peopleicat115

Жыл бұрын

@@ameuelang6159 yes I m projet

Finally

I wonder if this is how reincarnation works. Our souls are “decaying” but never reaching the end since it’s “eternal” each time we reach half of the journey we die and are reborn. Take my comment with a grain of salt I just like to see metaphors with the physical and spiritual

@PeterPan-vt6sy

Жыл бұрын

If you look at the diagrams it could almost be made to look like a double Helix. I wonder if there’s undiscovered math that humans could find out in the future to possibly reverse entropy

Man this video IS your "continuous improvement" idea you say we should mistrust, it's so boring and so long! And it brings nothing, the exponential decay is a classic.

Disliked i dont see any red arrows while riding a car