วีดีโอ

software used in this video for teaching >????

Something I'd like to highlight is that I didn't mention how does the sum transform into an integral as n → ∞? The key idea comes from the concept of a Riemann sum, which approximates the integral of a function by summing its values at discrete points and multiplying by the width of the subintervals. As the number of intervals increases, the width of each subinterval becomes smaller, and the Riemann sum becomes a more accurate approximation of the integral. If you'd like to see the detailed explanation with LaTeX code for this transformation, you can check out the document here: www.overleaf.com/read/fxrswmhfmpws#6671bf Also, if you want a full video explaining Riemann sums and how they transform into integrals, feel free to let me know in the comments, and I can make a dedicated video on that topic!

Thank You ❤

Audio isn't smooth. If you don't have good setup, you can use ai voice. There are many free tools available. Also work done is way less with them However animations and other things are fantastic

Very interesting and very well done. I subscribed

3:26 in rearranged formula we using f'(x0) which uses x1, but how we calculate x1 to begin with?

is there a full version? it seems cut

how graph even created without a being specified? f(x) only have 1 variable, so a must be specified right?

Great video! Appreciate the hard work in putting these together. One small comment on the proof that I had to “prove” to myself and maybe others might be interested. I worried that there could be some n where the denominator would go to zero in that expression for the geometric expansion ( either the real or imaginary part of the denominator since it’s complex, i.e 1 - exp(2*pi*i/n) ) and therefore would not make the proof general for all n integers > 1. But then, it occurred to me that the denominator represents a vector from a point in the complex unit circle to 1 on the real-axis and other than n=1, the trivial case, this will never be zero in the real or imaginary component. Anyways, thanks for pointing out this proof and letting me have some math fun!

We can also use rotational symmetry - if you myltiply every vector from given set by *exp(i*2π/n)* , the set does not change and vector sum(Σ) too: *Σ=Σ×exp(i×2π/n)=Σx* This equation works for any *Σ* if the coefficient on the right side = 1, but *exp(i×2π/n)* ≠ 1 ! So, only possible solution is Σ=0. But we need to know that *x* coefficient is not (left/right) zero divisor. If so, we get more than one solution.. which breaks vector sum as function. But complex numbers form a number field, any non-zero complex number is not a zero divisor. The answer was right - *Σ=0* ✅

how is root at y=0? Of which x root we finding?

Do you animate all scene and voice over

How do you make the voice + visuals

👍

Souns Bangladeshi 🤔

I remember learning about this proof when I was first introduced to complex numbers. Nice video.

This is awesome,thank you. Im learning higher level math later in life and this fills my curiosity of why things work like they do and how. It was interested that you included code, this is something i want to try out

Beautiful!

Here are my observations from this video: 1) This might be your best video so far; 10/10 for the concept. The animations have been a lot better. I've noticed that the explanation time and the time consumed by each frame match precisely. The length of the video is fantastic as well. One thing I'd suggest is revising the script once you finalize everything because minor mistakes can make the soup sour for critiques. In 11.41, there is a small spelling mistake, again, which I admit should be the least of concern, but I've included it for your retrospection. 2) I like how you connect a simple thing, like the vector sum of symmetric discrete vectors to zero, with electric field intensity and the fact that you were able to generalize your conclusion to continuous value systems. Excellent work on that. 3) I know that videos like these take a lot of time to prepare, and putting consistent work into these requires a great deal of work and dedication. I'd suggest putting the same work on your vocals as well. Try to pronounce the words a bit clearer and practice the script beforehand. I'd also suggest you record this audio in parts. Again, in no way should my suggestions be among the main takeaways from the audience's reaction, but I tried to sum it up as a well-wisher of this channel.

Thank you this helped me understand this!

Are you using manim?

Great work! The microphone and voice could be better, but overall really great.

You didn't show the general formula, scam video.

this video is so much helpful than reading 30 minutes i can just write down code after watch that animation 🤣

hello, just curiosity why you did right-- when left and right height are both 8? is there no possibility approaching left side will have more volume?

Great Video

That's the French flag. Dutch flag has horizontal stripes.

nice video! Thanks for your hard work! but your github repo seems not updating, can you update it? thx

Was it hard to learn manim?

I think this video visualizes well how this solution works. It would be better if you also add why this solution works.

Did you make this visualisation using MANIM Library?

Great visualization. Another comment : isn t it weird that your approximation of tan x is above the actual tan x curve for large x after the x^7 term ? Wouldn't you only add more positive terms afterwards, making it even further away from the red curve ?

Looks really cool! I love it! But one small mistake: the function shown on the bottom left is one term behind the function plotted on the graph

I don’t know why I’m watching this I failed pre algebra

12 “U” Shape Waves th-cam.com/video/wrBsqiE0vG4/w-d-xo.htmlsi=waT8lY2iX-wJdjO3 Thanks for your informative and well produced video. You and your viewers might find the quantum-like analog interesting and useful. I have been trying to describe the “U” shape wave that is produced in my amateur science mechanical model in the video link. Summing all wave function before transition, is that like Over-lap all the waves together using Fournier Transforms? This model makes a “U” shape or square wave. Is this a similar representation Feynman Path Integrals? In the model, “U” shape waves are produced as the loading increases and just before the wave-like function shifts to the next higher energy level. You might be interested in seeing the load verse deflection graph in white paper found elsewhere on my TH-cam channel. You can actually replicating it with a sheet of clear folder plastic and tape and seeing it first hand is worth the effort.

Very helpful

Great one again. ❤‍🔥❤‍🔥

Simply superb bro please keep uploading videos very good useful content for all programmers Thank you 😊

Great one. Liked and subbed.

I am learning c++ and this project is a major inspiration to keep on going... Thank you!

Interesting project brother, thanks for doing a simplified explanation as well. Good work!

gg duh

how do you make the animation?

Best video so far

Sexy Voice ;{

Wow, i learned alot from this video. I am eager to see the next video!

Beautiful channel with very cool content!

mojbhay mast

bro just made a projectile motion simulator very nice

nice video, voice not good.