Spent hours trying to understand what is eulers constant and got it straightaway by looking at this. Thanks a lot.

@samueljehanno

Жыл бұрын

Good

@vortex6132

9 ай бұрын

That’s great but in terms of its properties I’d go much further

@Premium55

8 ай бұрын

​@@vortex6132any good videos?

@abbasfadhil1715

5 ай бұрын

I rly understood every thing in this vid but the factorisation of p

@nimo517

4 ай бұрын

I’m looking for one of those in regard to quantum theory and the applications in real world. I understand so far _it’s used on a micro scale when viewing the world, and small objects like atoms, and how the fundamental laws in nature do not apply any longer at the quantum level._ and I understand that concept, but that’s where I’m left in terms of my true understanding and faith in quantum theory. After describing the basic desires and principles of the study, I don’t really understand how the study is supposed to translate to real life. Then the thought experiments like the *cat in a box*? I sometimes think it’s just mental master***tion and all hypothetical talk. Sure I believe it’s provable on paper but to me I’m sooo close to getting it, but until then it’s like being a kid trying to pray and not knowing what to do

The explanation feels like getting an eureka moment every 5 seconds or so. Realizing all the connection you've learned in math

@manavgupta2059

2 ай бұрын

Fr!

I WAS VERY HELPLESS ON KZread TO FIND OUT A RIGHT VIDEO TO LEARN THESE LESSONS. THEN THIS ONE CAME. THANKS A LOT. LOVE FROM INDIA

anyone still confused here?

@user-ef9zk6np2e

2 ай бұрын

Yeah me😅

@manavgupta2059

2 ай бұрын

Where did u got confused? I legit took 3 hours understanding this whole concept from this video and ran into lot of misconceptions So, I recommend u the following before watching the video: 1) Be expert with all logarithmic properties. (Solve 10 questions of each to master them) 2) Be expert with all exponential properties 3) Most importantly, learn differentiation first Then u will get second half of the video It is very complicated but once u understand it, it becomes very very simple :)

@user-ef9zk6np2e

2 ай бұрын

@@manavgupta2059 no need now! I have understood it well

@saravananrajendran9813

Ай бұрын

Me too

@notreallydavid

26 күн бұрын

Always!

Just a heads up 'e' is Euler's number. Euler's Constant is a different constant (Also called the Euler-Mascheroni constant sometimes) and is denoted by a lowercase gamma

@JunioSonicT.Hedgehog

4 ай бұрын

and it is a part of the connection inbetween the Harmonic numbers and Factorials, so that's neat.

@69erthx1138

4 ай бұрын

Euler number, Napier constant is e. Oily-Macroni constant is gamma.

@ChatGPTGamingReal

3 ай бұрын

@@69erthx1138oily macaroni

Doesn’t get better than this when it comes to explanation. Thanks!

It is worth emphasizing that "e" is a number defined through the limit operation. And it happens to show an unique property in another limit operation, i.e. the derivative, that e^x has itself as its derivative. This is one of the wonders associated with the limit operation and the infinity process. Essentially, a number is just a symbolic name for a bunch of operations, except the symbols for the natural number 0~9.

@leslyvalerianavarroberrone9323

7 ай бұрын

But what does it mean its derivative it's the same as the original function? As I knows, the derivative shows the growth rhythm for that function. Does it mean that the growth of f(x)=e^x is constant?

@dipteshrai5979

7 ай бұрын

But 2 is an operation of 1+1 and 0 is 1-1. Is it not? And 1/ 2 is 1 divided by 1 + 1

@newsgo1876

7 ай бұрын

​@@dipteshrai5979 Profound! So it seems there's nothing fundamental beyond the number 0 and 1. Does this imply the binary representation?

@dipteshrai5979

7 ай бұрын

@@newsgo1876 well, I said that 0 is 1-1. So I’m saying, only 1 exists. Unless u want to think of 0 as an absence of 1, or an absence of anything.

@newsgo1876

7 ай бұрын

@@dipteshrai5979 Yes, your idea is very impressive! I agree with you.

I am in Pre-Calculus and have failed the class twice already, but this third time I am dedicated to passing... not only passing but understanding everything well, like you said, inside and out. I struggled with logs, exponentials, ln/e, but it's no longer petrifying. Such good animations too!

@staticion598

7 ай бұрын

💀

@ethinesvedi7246

7 ай бұрын

Well then buddy , best regards, understand the concept dont rush to obtain marks ,best of luck

@dxrkrcs

7 ай бұрын

then just you wait till you get to actual calculus :skull:

@LEKSANDER01

6 ай бұрын

@@dxrkrcs I'll do well, I failed twice because I was severely lacking in basic algebra... it is pretty funny lol

@make-a-wish2224

6 ай бұрын

you hell💀

Wow! You virtually connected various aspects of mathematics in a very interesting way! Thank you!

Finally a clean video Thanks!

Very well explained video! Made the "e" great again, and really this should be taught in colleges/unis to get students understand the intuition behind

@leslyvalerianavarroberrone9323

7 ай бұрын

Yes, most students never know where does this stuff comes from, as " but that way they can't see the beauty in it.

I love your videos! Excellent explanations - they never made this clear in school! Thank you so much!

This is great. I never understood where the decay function y=e^-×ln (2) actually came from! Fantastic thanks.

this was so insightful, love all the connections you made, really helped me put it all together.

Thank you Mathacy !! You explained this really well 👍🏼

Mathacy, thank you so much. I ve been diggin from explanation to explanation without getting it.

Amazing video, you managed to perfectly explain e and ln in 12 minutes.

I bet this is the best video about mathematics on youtube. I didnt even skip a single second, I enjoyed it entirely.... You just earned a new subscriber.

@manavgupta2059

2 ай бұрын

It is not the best in any way lol 3blue1brown is best Now what are u giving me because u lost the bet?😊

Brilliant video, cleared all my doubts 👍

I’ve had problem with this concept.But after watching this, all my doubts are cleared now. Thanks a ton.

So much potential in this channel as the way he teaches

Damn!!! These many years as a STEM Student, I've never ever got the finest and the most intuitive explaination of Euler's Number. Great video Mathacy. Good Luck!!

Great video ! Learnt a lot and beautifully explained !

I wish I had KZread when I was in college. I graduated with a BS Aeronautical Engineering in 1986.

Omo. I hope I get to meet this man someday and thank him personally. Because you're out there giving meaning to my engineering degree and helping me see these things intuitively. Allowing me to chase my passion for Mathematics. Thank you isn't enough. Hopefully I can do something for you too. Thanks @Mathacy

Brilliant explanation! Thank you. It clicked when you said that we want 1 as a constant.

This video was great! Very informative!

Another Masterclass as always! Thank You!

From France, that was verry interesting, nice job !!

This video was super informative and it goes along great with 3Blue1Brown's video on Euler number. Also, at 6:26 the graph for x^100 looks a little off, isn't it supposed to be much steeper?

@Mathacy

3 жыл бұрын

Thank you for the kind words Amrish. As to the graph of x^100 and e^x, if x>648 then e^x > x^100. The main point of of that part is to show how dominant exponential functions are, so you can think of the x-axis scale as being very large.

Amazing video, it helped me so much!

Writing a test in a week about this topic, very nicely summarized

Boy you make incredibly awesome videos😻 Awsome explanation.I suggest you to be active on this channel and gradually you'll be listed in top class KZreadrs.

Great work, things unravel like magic, amazing and precise. Thanks again. Differentiation of e^x, lnx, a^x . Nice and smooth

Excellent explanations. Thank you very much.

Really nice video. Thanks for your explanations.

this video is very useful, very very good, I hope it gains more recognitions

simply a wonderful explanation got it first time

heavily underated channel

This channel deserves subs at the rate of e^x!!

mind blowing mathematics

I'am a senior in high school and this helped me so much when working with these functions in math and physics

Nice one, great job!

Hey, you are great teacher, dude. Thanks a ton.

Thank you for the useful content 🙏

A fantastic explantion of the relationships.

This was a great video thank you so much! :D

I am approaching an e^exponential headache, but it’s very interesting, thanks!

Please start making more like this

great video - thank you

Thank you very much you're very skilled

this is so amazing. thanks a lot

Thanks for all your expressions

Really good video 👍

Very well done

what a great channel!

Really well explained I enjoyed this video

@msag68

4 ай бұрын

🤓

Wooow mindblowing😍😍

Too good. Excellent. Thanks

great video man!

Thank you a lot i have been watching lot of videos trying to understand better what is e and with your your explanation i got it in no time although im not a native english speaker🎉🎉🎉

My god what an excellent video!!

Great video!

What software do you use to make the animations? Or, do you code it all? Btw, great job.

Wow, just wow. Its beautiful.

Thank you very much amazing content

Nice Video!

Thank you very much.

amazing video!

Energy can equate to Mass dissolving multipled by constant multipled by imagery vapor symbol representation squared E≠imc (-)E=(imc)² E≠(imc)² (-)E=imc² E≠imc² (-)E=((i)(mc))² E≠((i)(mc))² (-)E=mic² E≠mic² E=(mc/2πr)² E≠(imc/2πr)² E=mc² E=i In mathematics and physics, the symbol "c" can represent various concepts and constants, including: 1. Speed of light: In physics, "c" typically represents the speed of light in vacuum, approximately \(3 \times 10^8\) meters per second. 2. Constant: "c" can also represent any constant value used in equations, formulas, or expressions. 3. Circumference: In geometry, "c" often represents the circumference of a circle, given by \(2\pi r\) where \(r\) is the radius. 4. Center: In geometry or coordinate systems, "c" can denote the center point of a circle or other geometric figure. 5. Complex number: In complex analysis, "c" is sometimes used as a constant in complex numbers, such as in expressions like \(z = a + bi\), where \(c\) represents the real part of a complex number. These are some of the common uses of the symbol "c" in mathematics and physics, though its specific meaning can vary depending on the context.

what an amazing video

Fun channel. Thanks. Subscribed. Cheers

This is beautiful

Amazing video

Really👌🏻 clever 👏🏻👏🏻

this was very very helpful was a bit too fast though as i had to keep processing so many things just said while listening to what is being said after it really rests on your previous understanding (strong understanding) of previous topics)

Brilliant 👍🏼

Thank your for your tutition

Excellent video... Could you please give me any hint of how I create animations with LaTeX formulas like you do?

amazing thanks !!

Thank you please make more

Very nice sir

Thank you so much

Seems like he uses logarithms to define logarithms. I'm sure this video could be useful, but I'd have to watch it over and over and slow the speed.

@davidlixenberg5999

Жыл бұрын

I found the video much too fast and when all the different k's were exchanged for different values along the grraph of e questionable. David Lixenberg

@SpaceWoods

7 ай бұрын

@@davidlixenberg5999bro really signed off a youtube comment with his name

Excellent.

Very good video

That was quite useful

Thanks for the explanation, Squidward!

Nice Vid

U thought us calculus in the simplest way possible than any schools or coaching institutes did.

5:44 that was cool i've never seen that derivation before

In the case of radioactive decay the mass isn't lost so dramatically, what changes according to that function is the concentration of that particular radioisotope. They all end up as Pb, some just take more steps to get there.

OH MY GOD, this at the beginning of the video is what I was trying to understand. I'm shocked

great video, thank you. Coming from numberphiles video of e however, i am a little confused - wouldnt it be eulers number and not eulers constant? Which is supposed to be something slightly different?

@Mg_887

7 ай бұрын

It's just 2 ways of saying it

This has the same feeling as discovering lost lore that's filled with plot twists

The graph of y=x swings between exponential power of e upto x and by inversion becomes a logarithm of x.By Lambert function this becomes a complex number w multiplied by e to the power w.This means a complex may swing between an exponential by the power w as well may become an inverse function as logarithm of a complex number.

I will worship the exponential function right now, holy shift.

Amazing

I just don't get how you can conclude at 10:28 the derivative of a^x

the lore got me good =D