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@abbasmehdi29234 жыл бұрын
Sure sir
@ultragamer44653 жыл бұрын
found your channel through the dream controversy and gotta say your videos are very pogchamp
@caloz.36563 жыл бұрын
3b1b is now a genre.
@mathemaniac3 жыл бұрын
Haha :)
@caloz.36563 жыл бұрын
@@mathemaniac also I filled out your survey! Your channel is actually amazing and underrated, hopefully the yt algorithm will make another vid famous like the dream analysis one :)
@TechSY7303 жыл бұрын
Was hungry for more group theory stuff after 3b1b did his monster group video, and found this. Thanks! (Though I understand we probably aren't going to get to things like the sporadic groups for a intuition level overview)
@mathemaniac3 жыл бұрын
Hope it helps your understanding of group theory!
@codingwithflavio85342 жыл бұрын
exactly the same
@司馬炎-k7m9 ай бұрын
It really helps me to have a little sense of group theory instead of just memorizing a lot math symbols and proofs! Thank you!
@aravsria6 күн бұрын
This video is an abolute godsend for me to gather my bearings and have some orientation to start studying for my UofT Groups & Symmetries midterm. My profs lectures and notes are so disorganized; he's made this entire area of Mathematics so convoluted and inaccessible. P.S. What a cogent and clear presentation of concepts, god bless you for this. Very reminiscent of 3Blue1Brown but unique and special in its own way too, keep up the good work!
@project-alc44693 жыл бұрын
Probably the best description I've seen of Group actions. Thank you!
@mathemaniac3 жыл бұрын
Thanks so much for the appreciation!
@freddyfozzyfilms26883 жыл бұрын
Mathemaniac "I'm not going to use the group axioms" also Mathemanic: describes the group axioms in terms of symetries. Clever
@oussamanhairech51784 жыл бұрын
great explanation, I like the 3blue1brown style
@telnobynoyator_61833 жыл бұрын
That's because he uses the program made by 3blue1brown and tbh it's hard not to
@machineman89203 жыл бұрын
@@telnobynoyator_6183 that's not true he explicitly states (in the description) that although his style does resemble that of Grant's he doesn't use his animation engine manim
@telnobynoyator_61833 жыл бұрын
@@machineman8920 Didn't see it ! Thanks for correcting me
@flooreijkelboom16932 жыл бұрын
Amazing series, shared with everyone that wants to know more about abstract algebra outside a uni course. Thank you for you work !
@redumptious25442 жыл бұрын
I usually try to refrain from looking at a subject in a known way if the teacher uses a different one - especially if they explicitly say that they do so. I think it often holds back from a better understanding because one tries to fit known (but not fully understood) with totally new knowledge and is even more confused in the end. But I really like seeing the group axioms represented as properties of symmetry! It makes the symmetry explanation of groups feel very intuitive. (Having understood the definition of a group but not much more.)
@ichkaodko70203 жыл бұрын
please make a video series on functional analysis and real analysis too, your series is awesome.
@PunmasterSTP2 жыл бұрын
Symmetries, groups and actions? More like “Sounds like your channel is the main math attraction!” Thanks for putting together so many high-quality videos.
@lowerbound48033 жыл бұрын
Beautifully clearly visualized video. Thank you so much for the hard great work!!
@2false6374 жыл бұрын
I really enjoyed this. Thank you!
@samsunnahar917511 ай бұрын
How excellent and understanding video it is!! Thanks a lot, Sir!!
@NovaWarrior773 жыл бұрын
You are deserving of way more subscribers sir!
@mathemaniac3 жыл бұрын
Thank you so much!
@qriofficial17693 жыл бұрын
i like how you use the 3 blue 1 brown design it's a great explanation
@mathemaniac3 жыл бұрын
Thanks so much! Glad that you enjoyed the video!
@1973jdmc3 жыл бұрын
BRILLIANT explanation- THANK YOU
@mathemaniac3 жыл бұрын
Thanks for the appreciation!
@mohamedmontaser49308 ай бұрын
Dode, thanks for visualizing it. That's really helpful, I wasn't imagining the symmetry of a group , I hoped u added the symmetry of more things like galwa group just in the same minor, and again thank u for the video ❤
@guilhemescudero9114 Жыл бұрын
Thanks a lot ! Please could you help with one thing which makes me struggle : If I understand clearly a symmetry is like a function whose domain is the set of vertices, or the set of edges, or the set of faces, and the codomain is the set of vertices, or the set of edges, or the set of faces (respectively). This function needs to follow two rules : · distances between elements needs to be preserved · I think that the fact that the whole object is preserved follows the fact that distances between elements needs to be preserved So here is the question : If the set of symmetries form a group over the set G of symmetries : do we consider the whole functions that symmetries are when we compose them or do we consider the output of those functions when composing symmetries? What does it means when we compose symmetries : for example if a and b are symmetries a·b = c which is also a symmetry, but symmetries act on elements of sets so does a·b ∀x,y,z∈X , b*x=y, a*y=z but z here is ∈X not in G, so clearly "·" is not equivalent to "*"....so a·b is not equivalent to a*(b*x)....
@physicsnabo Жыл бұрын
thank you very much
@Julia-cs2fi4 жыл бұрын
This is a great series!
@sudipmaity63613 жыл бұрын
Thank You So Much💐
@superman397563 жыл бұрын
you are better than most of the maths and science channels I am subbed to, definitely deserve more recognition. happy to be here before you blow up w subs ;)
@mathemaniac3 жыл бұрын
Thanks so much for your appreciation!
@pairmanxlr3 жыл бұрын
Great video explaining group theory
@mathemaniac3 жыл бұрын
Thanks so much for the appreciation!
@Richard_is_cool4 жыл бұрын
I think I do have an idea which KZbinr served as an inspiration :D. By the way, true story, I was like the 10,000th subscriber of his :).
@sasyapwetty2 жыл бұрын
Thank you !
@hockeyKid77499 ай бұрын
Nice video series and nice animations. Just as in description of this video, it's actually a higher level of understanding or to understand the topic from a view that is different from traditional textbooks, those videos are not for any beginner, it needs considerable mathematical maturity to fully understand those videos.
@zhouryan69602 жыл бұрын
There's no way that this fantastic group theory vid only got 30k views:)
@mathemaniac2 жыл бұрын
Aww thanks for the compliment!
@gno7553 Жыл бұрын
Superbe vidéo. Les explications sont très claires.
@syamalchattopadhyay28933 жыл бұрын
Outstanding video lecture.
@mathemaniac3 жыл бұрын
Many thanks!
@NovaWarrior774 жыл бұрын
AWESOME WORK SERIES!!!
@mathemaniac4 жыл бұрын
Glad that you enjoyed it!
@monoman4083Ай бұрын
very good..
@hexa33893 жыл бұрын
This channel is gold.
@mathemaniac3 жыл бұрын
Aww thanks so much for the appreciation!
@SteveRayDarrell Жыл бұрын
How come I have never seen this series before? I was looking for an explanation of polya's theorem and I found this. Looking forward to it
@moularaoul6433 жыл бұрын
Thank you so much!!!
@habouzhaboux94884 жыл бұрын
Hope I see you with 1 mil subscribers
@mathemaniac4 жыл бұрын
That's a compliment too high for me to take, but thanks for enjoying the videos!
@abbasmehdi29234 жыл бұрын
@@mathemaniac ya....you deserve more subscribers....keep up the great content....
@benheideveld46173 жыл бұрын
Can you please do a video on the under-appreciated work on symmetries by Emmy Noether? I know the theorem, but how was it proven?
@mathemaniac3 жыл бұрын
It's not easy to get there from what the channel is usually about - but could try. This video idea is up on the list!
@laurajohnson90374 жыл бұрын
This was very helpful. Thank you!
@mathemaniac4 жыл бұрын
Glad that you enjoyed it!
@grottobox76263 жыл бұрын
Just watched this first video but u definitely deserve more subs
@mathemaniac3 жыл бұрын
Thanks so much for the appreciation and subscription!
@ToriKo_2 жыл бұрын
I don’t think this video is written well enough to help beginners with group theory and symmetry like myself. There’s is so many point where your assertions would cause a cascade of confusion for an absolute beginner, but it is well made for those who already are familiar with some of the moving parts
@noobiechess86643 жыл бұрын
NIce new emerging channel
@mathemaniac3 жыл бұрын
Welcome aboard!
@musicarroll3 жыл бұрын
Good video. Thanks. Suggestion: When you say "distances" you should specify distances between some elements. E.g., symmetries preserve distances between points, between elements, between figures, between points and line segments, etc. Transformations that preserve distances between .... what?
@mathemaniac3 жыл бұрын
What I mean is all distances, so it means everything you just said.
@musicarroll3 жыл бұрын
@@mathemaniac I think your example is a little obscure, because the objects acted on are two marked triangles (not just triangles) and as such they are different objects (although they have parts that are the same, i.e., the triangle parts). You are right, of course, that the markings break the translational symmetry of the triangles, but the markings make them completely different objects to begin with.
@darwinvironomy35383 жыл бұрын
starting from today, next is chapter 2, i hope it gave me motivation to learn since i need math elegance and application for my motivation rose up.
@wasimzahid15533 жыл бұрын
10/10...👍🤗
@asdfgmnbvczxcv3 жыл бұрын
The fundamental level of reality is in the language of group theory
@ikeyang4 жыл бұрын
This video is amazing, thanks for making it
@mathemaniac4 жыл бұрын
Glad you liked it!
@tilkesh3 ай бұрын
Thanks
@joetursi40893 жыл бұрын
Excelent presentation on group actions
@mathemaniac3 жыл бұрын
Thanks!
@abbasmehdi29234 жыл бұрын
I just love your videos. Could you permit me to take some peice of informations from your content to put in mine content. I mean to say that i would not do copy paste of your video and audio, i will only take up the info. I am your hearted subscriber and i love your videos. Keep up the great content.
@mathemaniac4 жыл бұрын
It's okay to use my content *if you credit me clearly*.
@abbasmehdi29234 жыл бұрын
@@mathemaniac sure ! And thanks You can check my videos to check whether i give credit to you or not. I am your biggest fan and student.
@Chuuchuupqatinnguotinchaginoli19 күн бұрын
1:10 minutes into the video and I understand more than 7 videos I’ve watched so far
@youssefabdallah39404 жыл бұрын
Excellent video! I just find that the music is a little bit distracting.
@mathemaniac4 жыл бұрын
Thanks for the comment! The background music has hopefully been better in recent videos, and I will keep this in mind for the future ones.
@TeacherJersonisfun2 ай бұрын
Nice
@82Muntasir8 ай бұрын
After 17 Sec. .....i love it
@samwisegamski2 жыл бұрын
Isn't A4 the associated group of symmetries of a tetrahedron? Please lmk if I am missing something. Awesome video/channel thanks!!!
@mathemaniac2 жыл бұрын
S4 is the associated group; A4 is simply the rotational symmetries, and if we count reflections as well, that would be S4.
@samwisegamski2 жыл бұрын
@@mathemaniac So for the symmetries that are not A4 you swap vertices that are opposite a plane bisecting the tetrahedron but you don't get these symmetries from moving the entire tetrahedron in space?
@mathemaniac2 жыл бұрын
@@samwisegamski No you can't get those symmetries by simple rotation: a reflection flips orientation in space, and a rotation preserves orientations. If you would prefer the matrix lingo, a reflection has determinant -1, and a rotation has determinant +1. You can try to see if rotating the tetrahedron could actually reproduce the symmetries that you described! As a somewhat related note, the fact that you can't rotate the tetrahedron to get its reflected image is called chirality in chemistry.
@yash11522 жыл бұрын
0:06 just having donne the vector spaces last term, what does the arrows here represent??
@QuillPGall2 ай бұрын
i think it just means that the traits of groups are then present in rings which are then present in fields, though the definitions get more restrictive the farther we go
@heeraksharma12247 ай бұрын
If you have only one object to start with, then won’t an object preserving transformation also preserve distances? In the example at 1:20, two objects are exchanged so distance is not preserved.
@gutzimmumdo49102 жыл бұрын
Sigma Ball -Sigma Grindset
@gardenmenuuu Жыл бұрын
please reply,which tool are u using for animations?
@OpPhilo032 ай бұрын
I watch this video 6-7 times.
@brianbrian48994 жыл бұрын
Damm your channel name is original and your content too!!
@mathemaniac4 жыл бұрын
Not sure if you are being sarcastic... if not then sorry that I am mistaken and thanks for your compliment!
@BruinChang2 жыл бұрын
Thanks, nice content, but why don't you go your own way? It is definitely possible for you to build another paradigm of visualizing mathematics.
@dankmemes759918 күн бұрын
What is an intutive reason for the fact that we can ALWAYS undo symmetries ? It isn't something that instanlty comes to my mind.
@aks74514 жыл бұрын
at 0:45, isn't the group associated with symmetries of a square called D_4?
@mathemaniac4 жыл бұрын
The convention is probably different across the world. When I learnt it, the subscript denote the order of the group, not the number of vertices. But probably your convention is D_4. There is nothing wrong about these conventions, but just that I like to stick with the convention I learnt.
@emmanuelcastro482011 ай бұрын
Why do methematicians call a group a "group"? Why not the closym, for instance (it is closed and preserves symetries)
@rudradityasinghnegi15513 жыл бұрын
😍😍😍 3blue 1brown style tnx Love from india
@mathemaniac3 жыл бұрын
Thanks so much!
@rudradityasinghnegi15513 жыл бұрын
@@mathemaniac hey will you make videos on some topology
@eulefranz9444 жыл бұрын
Is there a name if the object is preserved but not the lengths? Like an eigenvalue eq Av=lambda v with lambda =/=1 ?
@mathemaniac4 жыл бұрын
It is simply a permutation of the points within an object, if that's what you are looking for. I have talked about permutations in Chapter 7 of the video series. Permutation involves much more than linear transformations though, like they can be not continuous.
@abbasmehdi29234 жыл бұрын
Don't mind bruh but could you tell me truth that how many times you have done Ph.D in maths?
@mathemaniac4 жыл бұрын
I don't have a PhD...
@abbasmehdi29234 жыл бұрын
@@mathemaniac you are genius
@Sesquipedalia3 жыл бұрын
Hi :D can you make a discord server?
@mathemaniac3 жыл бұрын
Can you persuade me why I would want to do that? I don't use Discord, so I don't know why or how people use it.
@alejrandom65922 жыл бұрын
there exists e such that
@alejrandom65924 ай бұрын
xe=ex=x I guess
@moonhowler667Ай бұрын
The guitar music is Super Mario World lel
@hzkzg16144 жыл бұрын
16th comment
@douglaspantz4 жыл бұрын
thats in the bottom 20% of comment newness, m8
@hzkzg16144 жыл бұрын
@@douglaspantz at the time yes not after 20 years hopefully
@douglaspantz4 жыл бұрын
@@hzkzg1614 i highly doubt an early youtube comment will be at the top of your bucket list after 20 years, but ok. I guess its nice to have a marking
@hzkzg16144 жыл бұрын
@@douglaspantzmake no doubt it will be.
@douglaspantz4 жыл бұрын
@@hzkzg1614 understandable, have a nice day
@tsunningwah34718 ай бұрын
god
@EricPham-ui6bt Жыл бұрын
theory of least action is not mean doing nothing. it mean use the least waste called efficiency. just like if take a division to hunt for single terrorist is inefficient but if use a million of terrorist can overturn the world that is efficient. just kidding don't do it at 🏡 me unleast got certificate