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.
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 Perhaps not super-surprising? It's possible to be knowledgable in a field without having heard the terms of the field spoken in _english_.
@@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.
@@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
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
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.
Sir i loved your every courses and explanation, but only one thing you are giving some courses by paid only, yhis is only sad, there r so many students who are not afford, regardless u are awesome and lifesaver...
all videos are arranged so well in a proper sequence
Fantastic videos. These videos are alone going to help me pass maths this semester.
Thank you so much. Your one lecture clears all my doubts about the lattice topic
wouldn't b GLB(f,g) = e?
Yes true..
@@adityanprakash1281 not at all
Same doubt
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.
@@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.
Please list the related playlist in the video description as well, it makes it much easier to navigate.
You are a life saviour sir🔥💯💥
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.
Yeah that was surprising for such a well-presented and informative video to make this error
@@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_.
Well explained,with more examples,there is no doubt n understand
Thankyou sir you rescued me a day before exam 😊😅
Thank you❤❤ neso academy, I grateful to for my sessional exams
Hi five bro 🤜
this guy is an amazing teacher omg
This video is absolutely amazing!
Thank u so much sir.....all videos are in proper sequences
6:12, example 2 (a), what is the GLB and LUB of pair (d and g)?
GLB d and LUB g
@@enes5345
couldn't be like this?
GLB is f
LUB is ø
how GLB is d when they first meet in f?
@@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.
For(d, g)
LB(d, g) =d
GLB(d, g) =d
UB(d, g) =g
LUB(d, g) =g
Loved the explanation, you helped me a lot. Thx!
thanks man,apppreciate your work
at 8:15 in example(c) why didn't you consider (b,c) as incomparable????
You can consider it and you will find that unrelated pair (b,c) has GLB = a and LUB = g.
Thank you, it was easy to understand and you set the previous knowledge requirements from the start.
sir your voice so soothing ..after hearing that it makes maths a very easy subject. thank u for ur hardwork.
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 ?
yes
Upper bound of (f,g) is h. There is no lower bound for (f,g). You should have written "No Lower Bound".
@@rajeshprajapati6662hey y e can't be considered as GLB?
Please could you explain...
No bro
@@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
fantastic explanation
This is somewhere excellence is found!
8:45 example 3 was the same as in my notebook
Very well explanation Sir !!
Amazing !🎉🎉🎉🎉
Excellent method..❤
It’s really helpful
thanks a lot sir..Your videos are so easy to understand and organised...
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.
Lub of d and g is g
same bro
i guess it is not a lattice
sir in example (b) isnt GLB of f and g is a? By following the path downwards we can find a lowerbound
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
thanks man!@@rajeshprajapati6662
Nice explanation
Thanks so much
i will pass because of you. god bless you!
Thank you
what does the "rank" of a lattice mean? what's a "rank-1" lattice?
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.
bhai tu IIT ka hai?
thank u so muchhhh very helpfullll!!!!!!!
At 6:17 why don't we consider (g, d) to check either they have glb and lup
because d is related to g through transitive property
In fig (c) why don't you consider f,e and d,c as incomparable pairs ?
Very helpfull
great video sir
Can someone please explain what do we mean by 'incomparable elements '.
It means if neither aRb nor bRa..
i just curios when identifying part c, why we didn't consider (b,c) only (f,g) and (d,e)?
Please add python and Dynamic programming courses too
{1,2} lub is null then how it is a lattice
nice expalined properly
please start providing the pdfs
Doesn't 3 also divide 12?
Good morning every one
Way better than nptel
You're a legend
Sir ji direct product of lattice explain videos
Wow 😲
Sir i loved your every courses and explanation, but only one thing you are giving some courses by paid only, yhis is only sad, there r so many students who are not afford, regardless u are awesome and lifesaver...
Love🎉
Thku
smjh nahi aa raha hai 🥺🥺
b,c ???
Lb(f,g)=b,e,c,a b notrelates to e. So phi
კიუელები გამოჩნდით xd
hello 1 year later dd
@@grey3037 bro gamixarda :DD
@@noelomidze2079mec, ar movelodi chemians tu vipovidi aq:]
Wtf?
In fig (c) why don't you consider f,e and d,c as incomparable pairs ?
Thank you 😃