I am having trouble in my advanced calculus class (which is sort of a hybrid of intro to real analysis and calculus 3? weird course that is currently some number theory, set theory, some topology, and some things that i havent had any experience with in the past, which this helps with so thank you!)
Would a point still be an interior point if it reaches a point not in the set? for example let's say in the example set we use 3 as the point, if we "stretch out" we reach 4 which is not in the set, would the 3 then be an interior point?
Interior points of A just need to have *some* reach-out radius that only touches points of A. So yes, a reach of radius 1 from x=3 will touch 4 which is outside the set, but a reach of radius 1/2 will *only* touch points of A and that is enough to say 3 is an interior point of A.
Teacher here, What tool did you use to display your written annotations? How'd you get that beamer slide to break in the unbalanced grid on the first slide about points?
Such a lovely explanation thank you for especially bringing the showcase of the "arms" as the epsylon, that helps me a lot
I come from Vietnam and this is a great way to learn Math. Thank you professor Matthew
Thank you so much! Your explanation is so clear that I can understand all of them!
You save my master degree, thank you sir.
Love these videos! Many thanks for these. 😃
I am having trouble in my advanced calculus class (which is sort of a hybrid of intro to real analysis and calculus 3? weird course that is currently some number theory, set theory, some topology, and some things that i havent had any experience with in the past, which this helps with so thank you!)
its really helpful...bt why did you leave out points between 4 and 6?
Because the points between 4 and 6 are not in the set A
This video is really helpful thanks a lot
Thanks Prof,that is quite helpful
Hi ,nice explanation.
Could you prove that the set of accumulation points are always closed for any set?
Would a point still be an interior point if it reaches a point not in the set? for example let's say in the example set we use 3 as the point, if we "stretch out" we reach 4 which is not in the set, would the 3 then be an interior point?
Interior points of A just need to have *some* reach-out radius that only touches points of A. So yes, a reach of radius 1 from x=3 will touch 4 which is outside the set, but a reach of radius 1/2 will *only* touch points of A and that is enough to say 3 is an interior point of A.
Thank you! You made it easy ❤
The yoongi pfp 😭
Teacher here,
What tool did you use to display your written annotations?
How'd you get that beamer slide to break in the unbalanced grid on the first slide about points?
thank you so much! ☺
Thank you!
Thank You !!
Wish I'd found these videos earlier. I needed the stick figures 😭Exam 2moro. Need 15% to pass and hoping to get them in topology😅
you save me thanks you