inf(S) = -sup(-S)

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inf(S) = -sup(-S)
In this video, I present a neat identity relating inf and sup. This means that, from now on, everything that we say for sup will hold for inf as well. Moreover, using this, we can prove the greatest lower bound property. Enjoy!
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Опубликовано:

24 сен 2024

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Комментарии : 30

@NotoriousSRG 4 года назад

I love how enthusiastic he is :3

@leonardosaads 4 года назад

I loved the video. Could you then make more topology-related videos? Hugs from Brazil! (Abraços do Brasil)

@drpeyam 4 года назад

Check out my metric spaces playlist (somewhere on my channel), it has lots of topology

@drpeyam 4 года назад

ru-vid.com/group/PLJb1qAQIrmmA13vj9xkHGGBXRMV32EKVI

@Navjot0704 11 месяцев назад

Love from India...❤❤.

@---nw8qu 4 года назад

I am definitely the worst student in the class.

@drpeyam 4 года назад

You can’t be, the worst students don’t even watch the videos 😉

@---nw8qu 4 года назад

@@drpeyam I saw the Numberphile video from today about the trigonometric functions. It was very interesting because I never saw the trig functions taught in that way.

@듈이-k2b 2 года назад

Thank u Dr Show! More hugs from South Korea

@kimsongll 2 года назад

한국인 !!!

@luisibalaz 4 года назад

This was a question on my Calculus 1 exam. I nailed this haha.

@drpeyam 4 года назад

Wow, what a Calc 1 class! Haha

@luisibalaz 4 года назад

@@drpeyam yeah, it was pretty wild

@tmlen845 4 года назад

when you turn things around, things are turned around

@jimmykornelijegunnarsson4265 4 года назад

Question about the proof at 9:00, Suppose we instead define some set S such that all elements of S is defined as {s_k}k_0->inf: s_0 = m, s_inf = M. Wouldn't that be sufficient given it's a closed interval?

@sumittete2804 2 года назад

Sir ...what are the supremum and infimum of (0,1) intersection {m+n√2 : m,n are integers}?

@drpeyam 2 года назад

1 and 0 probably

@subhamyonzone4323 3 года назад

Great work👍👍👍

@xnylim1232 4 года назад

very good video thanks so much

@brylemorga3262 4 года назад

Inf sup: sup sup sup sup sup ................

@roberttelarket4934 4 года назад

Peyam you are Supremum.

@drpeyam 4 года назад

Awwwww

@cuonghienthaosonbuitrung2841 4 года назад

very very very very ... (infinity many times) cool

@brylemorga3262 4 года назад

So almost all comment gets heart?

@eliyasne9695 4 года назад

How come all your hypothetical students are mediocre? (You are not the best student in the class, there's someone better than you... You are not the worst student in the class, there's someone worse than you...)

@drpeyam 4 года назад

Hahahaha