Relation Between Infinite Sums and Products: Convergence Conditions

[@weegee7924]

The dub is fantastic! Although, it would be nice to have English subtitles on the JP videos for those who prefer it 🙏

[@angrykirby_yt]

Thank you for the English dub but as an anime fan, I prefer reading subtitles on the original version 😅

[@zunda-theorem-en]

Thank you so much for watching and for all your valuable feedback!
I've heard mixed opinions on the English dubbed version, and I noticed some of you prefer the original Japanese audio, so I decided to bring back the Japanese audio with English subtitles. However, managing both requires additional work, and there’s a chance TH-cam might not favor this approach, so I may need to decide between keeping the English subtitles on the Japanese version or continuing with the English dubbed version in the future.
For now, I'll continue to provide both, and I'll keep listening to your feedback. Thank you again for your support!

[@zunda-theorem-en]

I tried to pin my comment, but I don't have permission since this channel was recently created...

[@MushiSaad1]

Maybe try some sort of community poll in your main channel

[@ryosuke8093]

I was surprised that you also made an English version.

[@TheOneWhoHasABadName]

Zundamon and Metan speaking in english sounds a little bit weird, and I like it
though, the English subtitles + Japanese speech does make it feel a bit more like anime, and it might be more convenient for you too. I'm fine with any arrangement as long as the English subtitles still remain in some form, voice is just a bonus

[@ガーリック-v6y]

英語版のずんだもんの声を初めて聞いた

[@jalmar40298]

ﾒﾄｩﾝ…(Native)

[@matsubarahijiri]

@@jalmar40298 日本語版のチャンネル発見
英語と数学を同時に勉強できる良い教材

[@mearionet]

I personally prefer japanese voice + subtitles (partially because the japanese voices dont sound generated but sound real)

[@ftiasch]

Thank you for the video as always. However, I must state that I prefer the previous combination of Japanese voices and English subtitles (I had thought it was also translated by TH-cam). Is there a possibility for us to continue with the old method?

[@cdkw2]

Love that you are posting on a english channel now

[@tralomine]

I can read english but not listen, the auto generated subtitles are always trash on youtube, please just leave the english subtitles on the japanese audio >_

[@zyansheep]

I'm not used to dubbed anime 😭
any chance we could have subs on the original video? Also, I enjoy reading the japanese comments by pressing the translate button...

[@MushiSaad1]

I think japanese dub with anime sub is better

[@magma90]

5:25 i will be using that notation from now on

[@PotatoImaginator]

Thanks for making English one :)

[@AshifKhan-sn6jx]

I love anime girls teaching math
(Can you vary different background music in future videos to spice things up? The usual one is starting to get old imo)

[@Thesaddestmomentinourlives]

Thanks a bunch

[@kevincsellak296]

It's slightly weird to actually hear the intonations and pronunciations in a language I'm fluent in; in Japanese, I'm not able to hear when it doesn't sound completely natural, but it is possible here. Nonetheless, the writing's near-impeccable (as were the subtitles before).

[@terdragontra8900]

13:12 I’d like if you gave examples for the failure of this implication, in each direction. Assuming they aren’t super difficult

[@jkloe]

zundamoan

[@dracoteu2526]

5:23 LMAO

[@sleepntsheep1169]

OMGGGGGG

[@machazard]

ボイボって英語喋らせられるんでしたっけ？

[@zunda-theorem-en]

概要欄に記載していませんでしたが、他のツールと組み合わせています。

[@machazard]

そういう技があるのですね。ありがとうございます。

[@machazard]

その技というのはどういうものでしょうか？差し支えなければ教えていただけるとありがたいです。

[@zunda-theorem-en]

お手数ですが、TH-cam上で動画を探してみてください。
他にも挑戦している方がいらっしゃるようです👍