Thomae Function

[@redjr242]

Thanks for such an interesting video and a clear, step-by-step tour of the Thomae Function!

[@AND0123100]

I didn't understand why, n>N, could you give an explanation?

[@learningstatistics1290]

Me neither. Does anyone can help me?

[@Anuragmishra208]

May be he used archmedian property

[@guuspalmero]

21:37 You meant to say that we've proven that the function is discontinuous at any ))rational(( number. Thanks for the video!

[@learningstatistics1290]

25:31 I think delta should have 8 terms in your example, since N=4

[@AND0123100]

Thanks I was looking about the Thomae's function so long ago..

[@MariaSalazar-ob3sl]

Love it . Very detailed information

[@ElizaberthUndEugen]

why does the delta example set start with 2's as the denominator and not 1's?

[@learningstatistics1290]

I agree. 25:31 I think delta should have 8 terms in your example, since N=4

[@vafkamat]

great video; very well done

[@lateefahmadwanilaw8948]

Excellent

[@breisfm]

Amazing video! Thanks!

[@KumarSaurabh7722]

Will you refer a text book in which continuity of popcorn function discussed in step by step manner ? Please.

[@DouglasHarder]

I've never seen the function described in a textbook. Prof. Holbrook described the function in my first-year calculus course over 29 years ago. It's a standard delta-epsilon proof with a judicious choice of delta.

[@KumarSaurabh7722]

Ok , but would you refer at least one textbookof basic real analysis ?

[@chrislee5044]

@@KumarSaurabh7722 Spivak

[@shreyassr6115]

nice explanation sir it helped me a lot. Thank You.

[@anxiousaspirant23]

Inverse image can't be like z and bcaz if we take inverse again it can't be a function ,to take inverse function should one one and onto Am i thinking in right way?!

[@KumarSaurabh7722]

How are you saying that 'a ' is less than 'n/N' and 'n/N ' is less than b as you are assuming the existence of intervals (a , n/N) and (n/N , b) ?

[@robertshopov4088]

I am confused as to how u got working out in 24:30

[@DouglasHarder]

What is wrong with the argument?

[@maurocruz1824]

In 23:31 you would use 'i' or 'j' instead of 'n' (because n has a different meaning in the next slide!). In the first slide is N. Clearly, a nonsense. Apart from that, it was an amazing video, full of wonderful concepts and valuable graphical explanations. Thank you.

[@learningstatistics1290]

27:05

[@lynny7868]

21:58

[@adrianwong7632]

Thank you for the video. There's a lot of excellent information here, but could you please re-do it without misspeaking so often? It's hard to follow when you keep correcting the words you're saying.