ı had not understood kernel until this video. thank you so much. you are great teacher. You helped me so much. Greetings from Turkey.

hi, ive been stuck at this problem since forever, How do i show that Q* and R* are not isomorphic? The operation is multiplication for both of them

Just found your video, I like that you have these topics in short video form. I am enjoying it. Thank you very much, will probably also check out the others :)

Thanks for the explanation

awesome, appreciate it, your abstract algebra list is fire

I do not follow the mapping. Why does -4 maps to 2 for example.

I didn't fully understand why 1 maps to 1 in the last example.

This is very helpful.

The graphs in the talk are vivid, I like them.

Wonderful! Thank you Professor Adams. Your lectures make the concepts of abstract algebra easy to understand.

Thanks for making your lectures available. I am also happy you go for simple notations and not the extra complicated notations.

This certainly helps!

This lecture helped me understand the proof of Lagrange's theorem. Thank you.

Come on, I was just enjoying the visit from Grandpa. Thanks Professor Adams. Your lectures certainly helps.

Thanks Professor Adams. This helps.

Thank you Professor Adams, this most certainly helps.

How many questions one needs to do from Judson's book ? Thanks. Is this course a first course on algebra ?

Professor do you have anymore lectures from the book you are using here> I would appreciate your lectures.

Thank you so very much. This certainly helps.

thank you so much 🫶🏻

Thank you dr Henry

Thank you! Could not multiply properly before this in cycle form and always had to turn into mappings, this is gonna save a lot of time :)

Well explained ❤❤ thank you sir

Thank you for the video! I stumbled upon it and am leaving more satisfied than I was prior.

Thaankk youuu!! This made me understand so much, I'm doing my bachelor's thesis using this and this helped so muchhh!

Sir can you give 2×2 Matrices which form group but not abelian?

This video is very helpful. Thank you.

Thanks!

What is the book being used for this? Thanks

I just wanted to find a way to optimize my diet “database” but now I’ve been introduced to linear programming :)

Why has this video only drawn under 700 views? It is the only video I've found that actually illustrates the kernel operation with concrete examples. Unlike most videos on the topic, it doesn't just regurgitate definitions that can be found in you average textbook or monograph. This is the sort of content that viewers should demand.

For the longest time, I pronounced it "a-bell-i-an"...holy.

Outstanding video. One of the best video in the KZbin. I am from India sir. Sir can I do a small project in online if possible? It will be really helpful for me. I have completed undergraduate in physics

Thanks

You seems like a really cool professor and teach really well! :D

Sir! You are performing good job

great video

No other choice but subscribe. Why were you not my teacher when I was in college?

Wow! Simple and effective, I really like the way you teach.

Thank u for ur crystal clear explanation

Very well done!

Thank you for your demonstration. My question is that how do we assign the arbitrary value between 0 and 1 to each vertex? Earlier it was easier to do that, since I knew that if I chose the vertex to be in the vertex cover, then its value is one, and zero otherwise. But now how does each vertex get assigned their value?

Hi Henry! Is the distributivity proved by the other basic axioms or on its own?

Find the rule of the mapping

you're the goat bro <3

i have some problems with integer linear programming. i want to discuss with you. how can contract with?

Thank you so much for all your hard work, you videos have been tremendously helpful! I just have a quick question, this sounds counterintuitive but I think what I just learned from this video is that any finite abelian group of let's say size 72 is isomorphic to products of cyclic groups (all 6 of them) but those 6 groups are not isomorphic to each other. intuitively it would make sense if the abelian group of size 72 would only be isomorphic to Z/8Z x Z/9Z because 8 and 9 are relatively prime. Also did we not learn if A is isomorphic to B and B is isomorphic to C then A is also isomorphic to C? in here we have an abelian group of size 72 being isomorphic to Z/8Z x Z/9Z and also the same abelian group is isomorphic to Z/2Z x Z/4Z x Z/9Z for example, but Z/8Z x Z/9Z is not isomorphic to Z/2Z x Z/4Z x Z/9Z because the orders are different so how is this possible that the abelian group would be isomorphic to them both? Won't the abelian group of size 72 must have elements of certain orders in which it would be different than some of these products? I am a little confused on this part and apologize for writing so much lol. Thanks in advance.

Can you give me the source code of the ellipsoid algorithm?

what an informative lecture

Amazing video, thank you very much, helped me a lot !!!