Lattice

[@_PAYALGAIKWAD]

all videos are arranged so well in a proper sequence

[@trusttheprocess4775]

Fantastic videos. These videos are alone going to help me pass maths this semester.

[@nins1709]

Thank you so much. Your one lecture clears all my doubts about the lattice topic

[@barlog6679]

wouldn't b GLB(f,g) = e?

[@agnidebmukherjee9756]

Yes true..

[@agnidebmukherjee9756]

@@adityanprakash1281 not at all

[@csbytes137]

Same doubt

[@barlog6679]

i figured it out, the elements that can be GLB in (f,g) are e and b. Since you cannnot determine whether e is greater than b or b is greater than e due to the lack of relationship between e and b, there is no GLB. The same logic applies to determine the GLB and LUB of other pair of elements.

[@its_ayush7286]

@@barlog6679 thank you for pointing out my same question and also for giving the answer of it. That is something that i didn't know.

[@praveenkumarchettiyar2695]

Thankyou sir you rescued me a day before exam 😊😅

[@MaryamKamar-e6r]

this guy is an amazing teacher omg

[@bj_ets8010]

You are a life saviour sir🔥💯💥

[@ankitpanwar5032]

Thank you❤❤ neso academy, I grateful to for my sessional exams

[@rishabhm456]

Hi five bro 🤜

[@ambikas4905]

Well explained,with more examples,there is no doubt n understand

[@pranavnyavanandi9710]

Please list the related playlist in the video description as well, it makes it much easier to navigate.

[@benalbritton]

FYI, you don't call the symbol for the empty set "phi". Phi is a greek letter that looks a little similar to the symbol for the empty set, but mathematicians are not using the greek letter phi in this case, it is just it's own symbol that denotes the empty set.

[@AkamiChannel]

Yeah that was surprising for such a well-presented and informative video to make this error

[@fammusikka6767]

@@AkamiChannel Perhaps not super-surprising? It's possible to be knowledgable in a field without having heard the terms of the field spoken in _english_.

[@kashmirking2446]

Thank u so much sir.....all videos are in proper sequences

[@jordynbell02]

This video is absolutely amazing!

[@DuongNguyen-en1pi]

6:12, example 2 (a), what is the GLB and LUB of pair (d and g)?

[@enes5345]

GLB d and LUB g

[@marah8158]

@@enes5345 couldn't be like this? GLB is f LUB is ø how GLB is d when they first meet in f?

[@himanshupokhriyal6883]

​@@marah8158 Glb cant be F because in glb we go neeche and for F hum upar jaare h d se toh F toh nhi h but hn it makes sense glb would be d and lup be d.

[@piyushrajput1991]

For(d, g) LB(d, g) =d GLB(d, g) =d UB(d, g) =g LUB(d, g) =g

[@chiragmehta2955]

sir your voice so soothing ..after hearing that it makes maths a very easy subject. thank u for ur hardwork.

[@zeusbgmi6476]

This is somewhere excellence is found!

[@likithgannarapu8454]

at 8:15 in example(c) why didn't you consider (b,c) as incomparable????

[@rajeshprajapati6662]

You can consider it and you will find that unrelated pair (b,c) has GLB = a and LUB = g.

[@_PAYALGAIKWAD]

thanks a lot sir..Your videos are so easy to understand and organised...

[@marcusmors8485]

Thank you, it was easy to understand and you set the previous knowledge requirements from the start.

[@martinmallol4559]

Loved the explanation, you helped me a lot. Thx!

[@mahendrakergaurav5867]

thanks man,apppreciate your work

[@y.8901]

Hello, at 7:25 can we say that the lower bounds of (f,g) are b,e,c,a but since b and e are not comparable -> No upper bound ?

[@doesnotexist8873]

yes

[@rajeshprajapati6662]

Upper bound of (f,g) is h. There is no lower bound for (f,g). You should have written "No Lower Bound".

[@prithwihegde349]

​@@rajeshprajapati6662hey y e can't be considered as GLB? Please could you explain...

[@VineethrajNakka]

No bro

[@muhammedajlan5628]

@@prithwihegde349 e and b are lower bounds , since we need to choose only one for greatest(it refers to the great one )we cant choose e or b cz same weightage so that no GLB

[@teneplays]

8:45 example 3 was the same as in my notebook

[@satyamtiwari331]

fantastic explanation

[@Akshay_pratap_singh_007]

Very well explanation Sir !!

[@suhankrishna4567]

i will pass because of you. god bless you!

[@bbmathematics224]

Excellent method..❤

[@saiyedasiddika3974]

It’s really helpful

[@Bbdu75yg]

Amazing !🎉🎉🎉🎉

[@madapanameena1320]

From figure (a) Consider the incomparable pair (d,g) GLB(d,g)=f LUB(d,g)=¢( null set) So, this is not lattice. I have doubt .. please clarify that.

[@adityaralhan1154]

Lub of d and g is g

[@AmbikKasoju]

same bro i guess it is not a lattice

[@rawlayer999]

GLB(f,g) for all pair isn't defined, thus the set is empty. since the two preceding lower bounds are incomparable, we can't define greatest lower bound.

[@wrath2801]

bhai tu IIT ka hai?

[@egehanyildiz]

sir in example (b) isnt GLB of f and g is a? By following the path downwards we can find a lowerbound

[@rajeshprajapati6662]

Lower bound of (f,g) - abce Let's check for GLB : a - All elements of LB related to a ? No [Using Hasse Diagram] b - All elements of LB related to b ? No [Using Hasse Diagram] c - All elements of LB related to c ? Obviously No [Using Hasse Diagram] e - All elements of LB related to e ? Obviously No [Using Hasse Diagram] So, GLB = Phi

[@anushiya4453]

thanks man!@@rajeshprajapati6662

[@emilyom2347]

Thank you

[@kasiiragavarapu673]

At 6:17 why don't we consider (g, d) to check either they have glb and lup

[@doesnotexist8873]

because d is related to g through transitive property

[@brainexercise1234]

Nice explanation

[@arunsuresh8547]

In fig (c) why don't you consider f,e and d,c as incomparable pairs ?

[@engineerguruji2]

Thanks so much

[@bhaktikhokad7113]

nice expalined properly

[@osamansr5281]

what does the "rank" of a lattice mean? what's a "rank-1" lattice?

[@isai5813]

Please add python and Dynamic programming courses too

[@engineerguruji2]

Good morning every one

[@jessjinx]

i just curios when identifying part c, why we didn't consider (b,c) only (f,g) and (d,e)?

[@SasiprakashSasi-e8y]

{1,2} lub is null then how it is a lattice

[@aaravjayalwal3416]

Way better than nptel

[@leonthethird7494]

You're a legend

[@sidrahwaris7885]

thank u so muchhhh very helpfullll!!!!!!!

[@pahadiraishgamer1777]

Very helpfull

[@vocalwave323]

please start providing the pdfs

[@Kuldeepsingh.]

great video sir

[@lloydmoore6507]

Doesn't 3 also divide 12?

[@nehakhanolkar3861]

Can someone please explain what do we mean by 'incomparable elements '.

[@nileshmishra5482]

It means if neither aRb nor bRa..

[@MoneySwami24002]

Sir ji direct product of lattice explain videos

[@amruta2114]

Thku

[@shankarpubg9413]

Wow 😲

[@sabrinahhewitt119]

Love🎉

[@AnushkaSingh-sl3zn]

b,c ???

[@sushantxtj3727]

Lb(f,g)=b,e,c,a b notrelates to e. So phi

[@noelomidze2079]

კიუელები გამოჩნდით xd

[@grey3037]

hello 1 year later dd

[@noelomidze2079]

@@grey3037 bro gamixarda :DD

[@grey3037]

​​@@noelomidze2079mec, ar movelodi chemians tu vipovidi aq:]

[@08_it_aditkumar15]

Wtf?

[@shivanikj3047]

Thank you 😃

[@arunsuresh8547]

In fig (c) why don't you consider f,e and d,c as incomparable pairs ?