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.
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.
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!
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.
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
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.
This is so beautiful. Great work!
always appreciate your passion.
Brilliant video. I especially like your thumbnail as it captures the true meaning of convergence in R^n in a visual and effective way.
Simply GOLD.Kudos sir
Amazing video and explanation.
Nicely done.
Dr peyam good work!!
Thanks!
Thank you so 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.
Thanks so much, and welcome 🤗
Wow nicely cover this topic , I like that
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!
brilliantly enlightening!
Easy. Thank you very much.
Vielen Dank Peyam. Hab auf deinem CV gelesen das du Deutscher bist. Ich wünsch dir ein schönes Wochenende.
Gern geschehen! Dir auch 😌
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.
I recommend checking out the playlist, it starts things from scratch
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
Metrics are always positive
@@drpeyam Thank you
Hi Dr Peyam can you suggest a good intermediate Matrix Calculus book?
Friedberg Insel Spence
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.
Sure but we’ll need the inequalities in this video for another video
@@drpeyam oh okay. Btw sorry for the horrendous formatting I could've written that comment better
first!!