Introduction to Relations

Discrete Mathematics: Introduction to Relations
Topics discussed:
1) The definition of Relations.
2) The notation for Relations.
3) The example of Relations between two sets.
4) Relation from a set to itself.
5) Number of relations on a set with n elements.
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[@shyam7833]

00:58 Binary relation is a subset of the Cartesian product of two sets
01:56 The relation R is defined as the set of ordered pairs where the elements are equal to each other.
02:54 Relation R is created with ordered pairs where the first element is equal to the second element.
03:52 Relation R represents a mapping from a set A to itself.
04:50 The relation R consists of ordered pairs where the first element divides the second element.
05:48 The number of relations on a set with n elements can be found by listing down all the subsets of A x A.
06:46 The number of relations on a set A with n elements is equal to 2 to the power n square.
07:39 The number of relations on a set A with n elements is 2 to the power n square.

[@krisretro]

Thank you Sir. I watched this video a while back to understand relations, now I am watching this again to revise before an exam.

[@shobhitagrawal4901]

Sir, please Complete Data Structures 🙏 I have started studying from the playlist and its important from my semester point of view

[@booky6149]

@Rahul Yadav Speak the language on what the speaker speaks. Congrats! You have learned one common sense.

[@deshbhakt992]

@@booky6149 dont try to be oversmart by speaking english rather than own language
he clearly comment on guy( which is indian ) not on speaker so theres nothing point to speak speakers language !!

[@kobbariraja]

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[@BadiArt]

the audacity to think you've said something that is common sense, smh @@booky6149

[@freeblade5296]

Can u pl explain the purpose of math in this world cuz we don't need these super hard lessons In life ( THE WORLD IS STUPID AS A GOAT)

[@fernandodavemwels.5837]

For someone like you

[@DanielDaniel-ce1vg]

Programmers do

[@nithinnair5927]

It's matrix (to keep distracting you from making money)

[@couragesetsoafia9982]

@@DanielDaniel-ce1vgspeak for yourself bro 🥲

[@bookmarked01]

Phones, lights, electricity, cars, any transport, network everything needs this mathematics. Just because you are bad at the subject doesn't make it irrelevant to the world. With your primate-like comment you are being irrelevant to others.

[@CharmingMoments09]

Thank you Very much Sir
Your Videos are very helpful
Great explanation Sir

[@chetankembhavi4810]

Let A={1,2,3,4} and let R be the releation on A defined by xRy if and onlyif " x divides y" written x/y.
1) write down R as a set of ordered pairs.
2) draw digraph of R.
3) determine the indegree and outdegree vertices of digraph. Solve this problem please send me answer

[@aarjitlamsal2768]

Thanks I was confused and now I understand

[@nicholaspratte3170]

You are such an excellent teacher, keep up the good work!

[@marthadegu7291]

Wow what a great teaching

[@vritra-kidzone2673]

It would be good if you drop link of playlist(discerete mathematics) too
❣️ Thank you for discrete too

[@nesoacademy]

Discrete Math: goo.gl/7VUE7z

[@HermonYonas-r8j]

Im frome 🇪🇹🇪🇹Ethiopian tnx❤❤

[@RealAXork]

If I am not mistaken, in my university we defined a relation specifically as a non-empty subset of AxB. I wonder why this is? I cannot find this definition elsewhere.

[@AtlasRioTheSymbolOfHope]

Yep it is correct

[@themid9itegamer9]

Thank you
To be honest the last part really wasn't so easy to understand, but I mixed it with a bit of Google and I'm good to go now.

[@RaviTeja-jf1ri]

Sir could u plz explain about the Newtown- Raphson method 🙏... There is an exam on this topic

[@obeymheresi2393]

Thank you very much sir it's very clear🎉

[@basilbrush7878]

I think this divisibility needs to be clearly defined. When you say "a divides b", do you mean "b can be divided by a, evenly?"

[@themid9itegamer9]

Technically a divides b means "b divided by a(without a remainder) " which is why we only have (3,3) and (3,6) for when a=3, because 3 can only divide 3 and 6 without remainder

[@learninginstudentscafe7284]

Thanks for Easy explaination of this topic

[@ariee101]

Sir why the number of Relations on a set A with n elements P[(A×A)] is 2 to the power of n^2 not 2^n

[@kamallohana9084]

these are not relations these are number of elements

[@Ehsanafzali-g9t]

very impressive

[@sameershrestha6872]

Next video on function and it’s types please 🙏

[@ahmetkarakartal9563]

thank you so much

[@qoutesspace]

Good job

[@illogical-w7q]

Very good explanation sir😊

[@Boufonamong]

You are the Saad guru of maths don't we think so yes?

[@kandiumamaheswarreddy6373]

Thank you very much sir

[@learninginstudentscafe7284]

Excellent

[@raghad.n.a855]

Please enable automatic translation.

[@md.shahidulislam7432]

It's hard for me to understand 😭

[@SafiKhanCreation]

Again very confused in Last

[@MuhammadAsgharAsgharali-rb4ny]

If there is no condition in relation in this situation what we do?

[@see_ya09]

thanku

[@SunGamer094]

Wow understood nothing, thanks 😊

[@cristinaluvu2]

Lmfao😂😂😂 me rn

[@Alstyne]

😂

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😂😂

[@Mop0000]

Ahaaha :”D 💔

[@MianMuzamilUrRehmanKakak-xe1oy]

Same here 😂

[@shawz7010]

Why is (4,2) not in where R is relation where a divides b?

[@Gemini_7531]

the first element divides the second element, therefore 4 would not divide 2
ie. - (3,6) six can be divided by 3

[@shawz7010]

@@Gemini_7531 thanks......i didn't get it in first look.Understood later.

[@foodthink1592]

4 do not completely divides 2

[@randy12.02]

Who the rass knows skunt

[@nirjala8962]

It is like 2 divided by 4....
Not 4 divided by 2

[@AliHaider-id6ms]

Very well explained sir👍

[@kritichopra7819]

Didn't understand anything

[@Christopher__zi5n]

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[@BabitaPatra-n7n]

Tqvm sir🙏🙏🙏

[@saimagull1716]

Amazing bro🙈🙈🙈🙈

[@amarnath1828]

Dude thank u man

[@kaelszzz]

Thank you very much i understood nothing ☺️❤

[@taojiang7259]

very nice

[@tangenikufuna524]

The last part is killing us 😂

[@waqarrao787]

Great

[@kainaatmakhani6550]

Excellent.

[@kengniAliyah-v1q]

Wow you’re very good sir 👏👏

[@mugunthanvin1331]

A and B be any non empty sets ah?

[@mashroom2927]

The whole set thing confuses me, it’s silly and easy but never understandable. How? Don’t ask me

[@continnum_radhe-radhe]

❤❤❤

[@nirjala8962]

❤ u sir

[@rockiggo]

Tq u sir

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Damn Moco!

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3 gante se exam aur abhi padhna start kiya hu (year back ka exam h)😭

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I Didn't understand thing 😢😢😢

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poor sequence

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😢 nothing's 😅

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111 viewer

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Nothing understanding

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Stop saying right after every sentence...

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[@AbhishekThakur-fk7px]

Thank you so much sir.

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