P&C: Number of Reflexive, Symmetric, Anti symmetric, Transitive? & Equivalence relations

P&C: Number of Reflexive, Symmetric, Anti symmetric, Transitive & Equivalence relations define on AxA
Link to Number of transitive functions research paper www.emis.de//j...
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[@Mathsmerizing]

Support the channel:
UPI link: 7906459421@okbizaxis
UPI Scan code: mathsmerizing.com/wp-content/uploads/2022/03/UPI.jpeg
PayPal link: paypal.me/mathsmerizing

[@RayyanKhanRayyanKhan]

Clarified everything with num of relations and sets!!! WOWWWWW

[@sonorousgaming7202]

sir, i think it should be "total number of relations defined on A" instead of "on AxA".
If a relation is defined on A, it means
R: A -> A
If a relation is defined on AxA, it means
R: AxA -> AxA
If a relation is defined from A to B, it means R: A -> B
If relation is defined on AxB, it means R: AxB -> AxB

[@SujashSaha]

We can call it either "No. of relations on A" or "No. of subsets of AxA"

[@akiyamamio810]

One of the best videos I have seen in recent times
No time pass, no time promo, just straight facts and goated explanation
Surely gonna share it with everyone

[@imRJD14]

Thanks a lot sir
I’m in class 12 and It’ll help me a lot in Jee
You’re really amazing sir

[@jeril9913]

I think this is one of the best online classes for maths

[@Mathsmerizing]

Thank you so much

[@jyotigoyal9897]

@@Mathsmerizing lo à

[@rupayanhalder793]

Agree

[@Mohammed-dh2fw]

Sure

[@8796205190]

Sir,
Anti symmetric relation has come today in CMI Bsc paper, I did it because of you and only you. Exactly same nothing different when you see the paper of CMI 2020 you will realise it. I just copied and pasted there.

[@Mathsmerizing]

It is good to know that the videos are of some help. All the best and god bless you

[@Ayush_JEE24]

Very helpful for JEE ASPIRANT.

[@lakshya664]

Sir I think you should not count diagonal elements in the counting of anti symmetric relations... As it converses itself, If (a,a) is present then (a,a) should not present...

[@farazriyaz9078]

I think you're talking about asymmetric relations here. Asymmetric relations do not allow ordered pairs of form (a,a) but antisymmetric relations can have them.

[@swapnilgadkari4329]

very nicely explained

[@4141rohit]

Thank you very much Sir
I was very much struggling with this topic but now I'm fine in this topic

[@arghojitsaha3568]

Thanks a lot sir...im a student of 12...jee aspirant 2022

[@muhammadharis8925]

Can anyone answer me that what is the number of relations that are not antisymmetric on a set with n elements?

[@Mathsmerizing]

Use exclusion, from total number of relations exclude the ones which are antisymmetric

[@ARYAN_BAJPAI_IIT_BHU]

Reflexive relation hota kya hAin

[@Mathsmerizing]

pls check byjus.com/maths/reflexive-relation/#:~:text=In%20relation%20and%20functions%2C%20a,R%20%E2%88%80%20a%20%E2%88%88%20A

[@devanand6766]

Thank you sir 🤩..this video is very helpful for me

[@edits2846]

It was very helpful.......Thank you sir....

[@amrut278]

Dear sir, big fan of your work, i wanted to add in that finding number of equivalence relation can be better memorized using the bell numbers triangle/bell tree rather than the recurrence relation which includes a lot of calculation, if we write 1 in first row and right below it another 1 and 2 next to it, now write 2 below the 1 of second row and add it above and write it next to it as 3, repeat it and get 5 on the rightmost end, now repeat this procedure and we see that the bell numbers are the numbers on the rightmost end - 1,2,5,15,52,203,877, which is clearly being calculated faster (i believe), here's the video link which i learnt this from ua-cam.com/video/dbA2wqlilL4/v-deo.html

[@chandra7861]

Nice explanation sir.

[@Mathsmerizing]

Thank you Chandra

[@nikola6tesla]

i was struggling till date about this concept. but u made it so easy that i realise coachings are just waste.
best channnel 4 math - one and only mathsmerizing❤

[@believer6853]

Thank you sir for jee mains 2023
My teacher give me only direct formula......you give me clarity

[@St_fearless]

Thank you sir for your excellent explanation.

[@gargibhadra6465]

Really helpful. thank you

[@s.sacademicandcompetitivec7496]

जय श्री राधेकृष्णा भगवान जी की जय हो!👏🙏👏👏🙏👏

[@MaheshKumar-yh6zk]

The way of presentation is nice.....
Thanku ❤

[@ARYAN_BAJPAI_IIT_BHU]

Aap india se ho

[@Mathsmerizing]

Yes

[@ARYAN_BAJPAI_IIT_BHU]

Thanks

[@tahirmehmood3502]

Nice explanation but Bn ki values kahan se li?

[@badalkr360]

Can we write: No. Of anti-symmetric relations = Total No. Of relations - No. Of symmetric relations. ??

[@DVDmathsacadmy]

Yes

[@vikasgupta8293]

Nyc explanation thank you ❤

[@bhakshishaik4176]

Very good explanation

[@dineshmathsclasses2514]

Nice explanation of the concept involved, thank you so much for your time and effort.

[@pervezdar7340]

Not a better explanation....
Its called gotafication

[@divyamverma2606]

Awesome!!

[@agent_op_is_live]

Antisymmetric definition is wrong

[@saiaditya8594]

How come?

[@sivag2399]

🙏🙏🙏🙏🙏🙏🙏

[@56pankajkumar78]

Thanks❤ sir

[@suryanarayanachebolu7870]

Excellent

[@mathematicsbyrizwansir]

Thanks sir

[@manish50789]

Best video dost❤❤❤❤❤

[@FouITarnished]

I got this problem but it was negative numbers like this prove {-3,-2,-1,1,2,3} is a transetive
Can you solve this

[@kavyasrisspian3074]

Can you please say in detail do you need to write it in transitive form or prove this as transitive

[@avinashsaini789]

Relation xRy is antisymmetric if X =y

[@ARYAN_BAJPAI_IIT_BHU]

U ar god of mathematics

[@Mathsmerizing]

Thank you, but I perfer to disagree

[@shashankshekhar3074]

@@Mathsmerizing this is your nobility sir.

[@rishularora5515]

What is bell no.?

[@Mathsmerizing]

In combinatorial mathematics, the Bell numbers count the possible partitions of a set. Please refer to en.wikipedia.org/wiki/Bell_number#:~:text=In%20combinatorial%20mathematics%2C%20the%20Bell,about%20them%20in%20the%201930s.

[@sonikamehta2916]

This video is really helpful..thanku🤍

[@aakashmeena3805]

Finally I got satisfied with this problem of calculating No. Of different types of relations 🙏🙏🙏🙏👌👌👌👌👌👌👌👌👌👌👈👈❤️❤️❤️❤️❤️❤️❤️❤️ love you sir