2 videos in 1 day? We have been blessed

Thank you very much! I love how well was everything explained. I'm really motivated to continue watching your series while studying metric spaces by my own.

always appreciate your passion.

This is so beautiful. Great work!

Brilliant video. I especially like your thumbnail as it captures the true meaning of convergence in R^n in a visual and effective way.

Nicely done.

brilliantly enlightening!

Simply GOLD.Kudos sir

Amazing video and explanation.

Wow nicely cover this topic , I like that

Thank you so much

Dr peyam good work!!

@drpeyam

3 жыл бұрын

Thanks!

Easy. Thank you very much.

I consider myself to be so fucking lucky to have found this for myself. I mean it's a tough major but no matter how stressed I am I still find myself just smiling at my textbook because I just love mathematics.

@drpeyam

4 ай бұрын

Thanks so much, and welcome 🤗

Vielen Dank Peyam. Hab auf deinem CV gelesen das du Deutscher bist. Ich wünsch dir ein schönes Wochenende.

@drpeyam

3 жыл бұрын

Gern geschehen! Dir auch 😌

Thank you very much sir. You saved with your limsup and liminf videos as I did not understand when my lecturer taught it and you're doing it again here for metric spaces. Once again thank you very much sir!

Hi Dr Peyam can you suggest a good intermediate Matrix Calculus book?

@drpeyam

3 жыл бұрын

Friedberg Insel Spence

Thanks so much Dr Peyam, Once again you are a life saver. I have a question about the proof of the metric. The square root of a number can either be positive or negative, so what made you set it to be an absolute value which is strictly positive. I hope you get where my question is coming from. Thank you so much

@drpeyam

4 ай бұрын

Metrics are always positive

@mfonpeter124

4 ай бұрын

@@drpeyam Thank you

first!!

Thanks for making this video. For someone who has no idea what this is it really made me understand absolutely nothing at all. Kudos to all you who have studied really hard to understand this stuff.

@drpeyam

Жыл бұрын

I recommend checking out the playlist, it starts things from scratch

Just prove that lim_n(u_n + v_n) = lim_n u_n+lim_n v_n. Then lim_n x_n = lim_n sum_i x_i_n * e_i = sum_i (lim_n x_i_n)*e_i.

@drpeyam

3 жыл бұрын

Sure but we’ll need the inequalities in this video for another video

@thedoublehelix5661

3 жыл бұрын

@@drpeyam oh okay. Btw sorry for the horrendous formatting I could've written that comment better