Thanks alot Dr. Chris Tisdell. Your lectures supported me more than my teachers . Now I am a teacher , i still follow your lectures. You are my real Teacher.
@sekwah09 Yes, n and p can be different and p is any number \ge 1. If they were the same then there would be no need for p in the definition of d_p, rather we would write d_n..
In response to y' = ky+b with the initial condition of y(0) = alpha. You first find that the general solution is in the form of y(t) = alpha*e^kt + (b/k)(e^kt-1). For simplification, I will call the previous equation *star*. You then follow the same procedure and do d/dt( u(t) / * ) replacing u' = ku + b and u(0) = alpha. I think that the numerator should equal zero, but I was unable to simplify all the terms completely.
Hi thank you My teacher Chris Tisdell for the good presentation related to the metric spaces. My question is :what are the natural morphisms between metric spaces.
im not sure how much this question makes sense, but what does p actually represent and/or how is it specified? I am trying to understand an economic index that designates a p but im not sure how or way they chose what they did. thank you by the way, the video is great!
Thank you for that video. But I'm still unable to understand what is metric space actually. As far as I understood is just that it's a function for measuring distances. But what's so special about it & why are we studying it😓.
Professor, do you have any more lectures on real analysis? I'm writing a paper on metric spaces for an independent study and I have no background in real analysis, I been reading some textbooks on it but it's not making sense to me, if you can guide me to any good resources i'll highly appreciate that!
please let me know when you display u r research-- please explain u r research in simple langague -- thank u - amarjeet -- advocate delhi high court --india
Thanks alot Dr. Chris Tisdell. Your lectures supported me more than my teachers . Now I am a teacher , i still follow your lectures. You are my real Teacher.
@sekwah09 Yes, n and p can be different and p is any number \ge 1. If they were the same then there would be no need for p in the definition of d_p, rather we would write d_n..
Dr.Chris
Thanks it-s a great work. It helps me to understand the metric space.
My pleasure.
Fantastic explanation. Thanks Chris!
Around 2:45 you mentioned d is positive definite, would it more correct to say it is positive semi-definite?
Thanks a lot! Watched your series on metric spaces in preparation for my functional analysis quiz. Was a big help.
This was so intuitive!
hello Dr. Tisdell, Thank you so much, i guess u just made life easier, studying Real Analysis in at uni, n helped alot, thank you
In response to y' = ky+b with the initial condition of y(0) = alpha. You first find that the general solution is in the form of y(t) = alpha*e^kt + (b/k)(e^kt-1). For simplification, I will call the previous equation *star*. You then follow the same procedure and do d/dt( u(t) / * ) replacing u' = ku + b and u(0) = alpha. I think that the numerator should equal zero, but I was unable to simplify all the terms completely.
Please give more video on this topic. Open ball , neighborhood , limit points etc..
Hi thank you My teacher Chris Tisdell for the good presentation related to the metric spaces. My question is :what are the natural morphisms between metric spaces.
please, would you clear picture as to be able follow details
is there any place we can download the notes you use in your presentantions ?
Thank you for making the video! It was very helpful to me.
Is it possible that you can make a video explaining how metric maps work and possible applications?
How does the metric different from a norm ?
The metric measure distance between 2 things and the norm the distance from origine , usually norm is used for vector spaces .
Thank you for this video! It was very helpful to me
sir can you make more videos on real analysis?
What is the name of your video pertaining to research on the general metric space?
Sir..suggest me a best book for real analysis;
in which metric space is given properly...
Thanx sir for a gud introduction of metric space
im not sure how much this question makes sense, but what does p actually represent and/or how is it specified? I am trying to understand an economic index that designates a p but im not sure how or way they chose what they did.
thank you by the way, the video is great!
Thank you for that video.
But I'm still unable to understand what is metric space actually. As far as I understood is just that it's a function for measuring distances.
But what's so special about it & why are we studying it😓.
It's my pleasure. Good luck with real analysis.
sir pls, if d is a metric on a non empty set X show that the function e defined by e(a,b)=min(1,d(a,b) ) where a,b E X is also a metric on X
good question
Sir This Explenation is best to for matric space for me
Very nice presentation Thanks sir
hi, what does it mean that the cross between X and X?
Cartesian Product
Minkowski's inequality can be proven by the method of setting f(ax+(1-@)fy)
Can I have a link to a book to study metric space, please?
Professor,
do you have any more lectures on real analysis? I'm writing a paper on metric spaces for an independent study and I have no background in real analysis, I been reading some textbooks on it but it's not making sense to me, if you can guide me to any good resources i'll highly appreciate that!
Hi, you may find some related stuff in this playlist - good luck!
ruclips.net/p/PL7BBBB7E2F4C5B19F&feature=mh_lolz
Master @DrchirsTisdell why X sequre does not matric space
@DrChrisTisdell Master why X sequre does not matric space
@@DrChrisTisdell ممكن الحل استاذ
Hello sir
l'm Idrees from Kurdistan
🔴what is G-metric space...?
thanks alot sir
very useful
thanks
Please I need a group of mathematics to help me out I am studying abstract math
Feel free to join discord.gg/FfjMM6E ;)
thank you sir
please let me know when you display u r research-- please explain u r research in simple langague -- thank u - amarjeet -- advocate delhi high court --india