Relations between two sets | Definition + First Examples

Learning Objectives:
1) Recognize "less than" as an example of a relation
2) Draw a visual picture of a relation
3) State the formal definition of a relation

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YOUR TURN! Learning math requires more than just watching videos, so make sure you reflect, ask questions, and do lots of practice problems!
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This video was created by Dr. Trefor Bazett

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[brianbarraza]

my professor just jumped into proofs in the second week and had left me really confused and stressed. You actually took concepts step by step, thank you for this lecture series.

[venessanaidoo]

Takes my professor 1 year, takes Trefor 2 hours for a whole course

[Stefabro]

Underrated math prof for sure, he’s so great at explaining things:)

[BrawlPlays-]

Watched videos for 2 days learnt no bs, discovered you video learnt in 6 freakin mins. You're Insane my dude!

[javaexpertsa]

Great explanation, i will try to watch all the 71 Videos today. :)

[donaldcorte]

This is great btw, but in your example, human 1 does not own dog 1, but owns cat 1.

[carlneumann]

@4:37 It is written h1 owns d1, but this would be h1 owns c1 (h2 and h3 own d1)

[realgreencookie]

Prof Bazett, thank you so much for imparting this on us!

[amandeepmishra]

Great explanation.. He made discrete mathematics easy for me..

[ichigo_nyanko]

would you ever think of doing an abstract algebra course? What course are you doing next, if any?

[intrepidsouls]

Is not the same example of relationship (humans to pets) the same as SQL one-to-many relationship?

[DamienRoyan]

Could I say that R = { (a, b) ∈ A x B | P( (a, b) ) }

Or for sake of presentation:


R = { x ∈ A x B | P(x) }, where x is any (a, b)

[Polyviani]

How does the writing on this board work?

[backoffer]

Do you have a course on differential equations?

[dicker]

So, a Relation is a subset of the cartesian product, whose elements are the ordered pairs from an instanciation of the cartesian product(like the cartesian plane) satisfying the specified relationship, is that correct?

[kylefranklin]

Can you tell me how you filmed this? Writing on glass before the camera?

[subhadipsarkar]

hi sir, i am subhadip from india....your youtube videos is very helpful for me...you are inspiration sir....thank you for your hard from heart ❤️🤍🤍🤍🤍🤍🤍

[russellzheng]

didn't know vertasium had a second channel :o

[bossysmaxx]

You're really Insane Man I loved your videos Your videos helpin' me a Lot

[backoffer]

Oh, btw, does a set counts as a subset of itself🤔?