Infinity Paradox -- Riemann series theorem

It's a great privilege to have the opportunity to observe with our own eyes concepts we consider abstracts. Thank you very much for these videos!

I remember hearing this song when I was a peasant on some land next to a castle

Awesome, as always. It's like to dream after remembering carefully selected topics. Great job.

Hi Eugene, I have read your animal rights website! You are an amazing person - superior, incredibly kind, and intelligent, The true intelligence lies in helping us grasp the meaning of a concept at its deepest level, rather than merely teaching equations. This way, we can utilize that logical thinking to derive equations. I wish you all the best of luck! Your enlightening videos always blow my mind, and without your education, my understanding of general and special relativity wouldn't have reached this far although I still have a lot to learn. Thank you for everything!

Thank you Eugene for this great explanation ❤ You deserve a golden medal 🎖

It is always a good day when you upload a video. Thank you for making these!

Another neat trick is to simply show these harmonic series as Fourier sums with changing "wavelength" that depends on an arbitrary range (essentially the number of positive or negative terms you wish to sum in a certain order), and see where this function tends to at infinity. This way you are free to adjust the periods and hence choose any value as the convergent value.

The narrator's voice is mesmerizing and soothing.

Thanks for this video. I'm learning for finals right now and one of the topics I'm about to learn will be exactly this.

Eugene is a straight double OG to the triple OG to the infinityle OG my G

Also make a video on the various infinite series of Ramanujan. Would be very interesting

thanks again! I’ve found some topics that might be animated into videos, such as craystal oscillator Dilutionrefrigerator norton’s theorem band gap reference anti-bonding orbital Reluctance motor Thedeflecting force really appreciate your work! by the way, which university do you teach in? i heard you’re a physics professor. i want to go to your university😂

Excellent! Superb videos! Thanks for sharing a wealth of knowledge.

Absolutely Convergent to Perfection Video. Magnificent

6:06 infinity has never been so terrifying!

I have been a Sub. since 2013. Keep up the good work!

Awesome video as usual. Great work!

I'm finding myself excited every time for a new video on this channel. It's the latest Marvel episode.

Spectacular video!

Great video, Eugene! Glad to know that you're still active.