For those looking for more elaborate steps in the second part, I did it like this (one step at the time): From the triangle inequality: |y - x + x | <= | y - x| + |x| |y| <= |y-x| + |x| |y| - |x| <= |y - x| - (|y| - |x| ) >= -|y-x| -|y| + |x| >= -|y -x| |x| - |y| >= -|y-x| |x| - |y| >= -|x-y| Let me know if I did anything wrong!

phew ... what a density of information.

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Thank you for this video!!

Easy and excellent explanation

Thank you for this video! I finally understand these concepts

Thank youu

we need a 7 tier list

subscribing to this channel was the best decision i ever made

That is the most l (except s tier) tier list i ever seen

💯

Thank you so much for this amazing explanation! It is really helpful! Would it be possible if you could make a video series explaining everything about time series? hhhhhh Thank you so much in advance!

Here in 2024 for the best Playlist on graph theory

When you say eigenspace are you referring to the eigenvectors?

g its a graft u its a vertex how is posible g - u? there are no begin at g could beguin any where? . graft minus 1 vertex because it can not be a path or something like that. there are no initial vertex.

Why did I laugh 😭😭😭

really nice and easy question, thanks :)

u r outstanding in teaching Algebra

As an online college student, thank you sincerely.

I'm the 100th like

My mom says that this is wrong

Great Video Helped out a lot, Thankyou!

Explained perfectly thankss

get a new calculator🤣

My school marks

Asslam o alikum. Thank you. Have a good day.

Maybe I misunderstood something. But the initial hypotheis was it is a fraction AND in its lowest terms. You derived a contradiction. This means the initial statement is false ie it is not a fraction OR not in its lowest terms OR both. It doesn't necessarily mean it is not a fraction - it may simply not be in its lowest terms. I'm sure I got something wrong ...

Thank you

Great video done with dedication

Your videos are super helpful! thank you v much !!

Are isosceles trapezoids and right trapezoids types of trapezoids? If so,why?

Great video on the greatest math channel!

adult sheldon

Why must one convert to z-scores since that step is not necessary with modern technology?

real helpful, thanks!

Hi friend, you just solved my life problem in minutes. Wowwwwww Thank youuuuuuuu

Measuring Z as a non-open set but R as an open set is silly. Z in Z is an open set, Z in R is not open, but the same is true of R in C. AKA, both of these are silly questions without specifying what the set is (not) open within.

Link cut trees. Please

Sar. Dhndd

Hhnnhhnen

How weird. I clicked to watch this video and KZbin said I wasn't subscribed. So I subscribed again and immediately appeared that the bell was activated ... KZbin's bug?

amazing❤

I’ve always used the box method helps with any combo of numbers

Bro roman numeral 2 is S tier material

Bro "the One" isn't 2 but A in greek

dear teacher, thanks for the demo, your choice for both n and k being actors made it little confusing and a bit hard to follow

4:49 big N tooth term N🦷

Short,brief and precise video keep it up man