I never understood why people start in the new univers they try to explain and expect those in the old univers to understand the lingo. If you start in the old univers people can develop the new univers themselves,
@litskyАй бұрын
Not sure what you mean. If you want a more primitive/computational (rather than conceptual) treatment of tensors there are plenty of other videos that do just that. My intention with this video was to fill that niche. I really dislike the habit of certain people who seem almost to "take offense" upon being exposed to a certain language or viewpoint. This is something that still plagues category theory today, and as we all recall the term "Gruppenpest", plagued representation theory in the past. I feel it's something that we as a community would really do well to drop, and learn instead to appreciate the merit and benefits of diverse perspectives...
@tighemcasey75892 ай бұрын
Best explanation I've seen
@callanmcgill2 ай бұрын
Didn't realize you were posting again somehow. I love your old mathematics videos, what have you been up to since then?
@PhucNguyen-pf3qb2 ай бұрын
how is ur math life?
@mathiashwin2 ай бұрын
You're a seriously great lecturer!!!!!
@naromsky3 ай бұрын
👍
@rhodesmusicofficial3 ай бұрын
I'm sure you get a lot of comments about your math stuff already, but if it's not touchy or anything can I ask if theres a place where I can find the third talk in Wei Xi Fan's Galois talks? KZbin says it's unavailable... They've been really helpful for me and trying to piece together what was proven/how it was proven in the third talk doesn't work very well- Anyways, really nice video, great quality and stability!
@litsky3 ай бұрын
The third video was on Wei Xi Fan's channel, which he appears to have deleted.
@rudypieplenbosch67524 ай бұрын
I was following a channel on tensors, he kept going on and on, without really getting to a point ever, so i stopped it. Seems there is still a chance to understand tensors, at the moment I'm studying spinors, which are a bit less confusing. But you did clarify quite some things in this lecture already, of course i need zo watch it again. I like your passionate way of explaining, its very motivating.
@litsky4 ай бұрын
Spinors are far more complicated objects!
@rudypieplenbosch67524 ай бұрын
@@litsky Really ?, then it must be because i found a good explanation on them, to me tensors are more confusing, but you gave already some good insights. Too bad it seems you stopped your explanation videos, you are very good at it.
@wdobni4 ай бұрын
i couldn't follow the audio....its like he was talking from the bottom of a barrel
@remarljosephdamalerio89214 ай бұрын
I’m currently studying free structures. This video is really helpful! Thanks!
@fernandojackson72074 ай бұрын
Great presentation.I'm confused. Maybe because I haven't done Abstract Algebra in a while. Please be patient. that for a bilinear map you use F(x1,x2,..,axi+xi',.,xn ), at around 18:01 . Wouldn't a bilinear map be defined on a pair of vector spaces, and thus be defined on pairs(x1,x2), rather than on n-ples (x1,x2,..,xn)? Maybe in 32:41, you can define the map on the basis elements, the pure tensors f(x)w ; f in V*, w in W that are a basis for V*(x)W and extend by linearity to V*(x)W, i.e., to the "non-pure" elements?
@DarioOliveri4 ай бұрын
I need to compute a tensor product. Can I just say that given two tensors of size respectively 4x3x7x5 and 4x3x5x6 the output is a tensor of size 4x3x7x6 where we have basically 4x3 lined up products of matrices of size 7x5 and 5x6????? Is my understanding correct??
@Palisade58104 ай бұрын
7x6
@whocares16395 ай бұрын
cool
@deltalima67035 ай бұрын
Its a shame I did not see this earlier. KZbin does people dirty serving up far more sketchy descriptions of this content instead of this. This is quite clear. I like how he does not use abbreviations. Its worth it to a general audience to just write "isomorphism", imho. Great presentation, just shares knowledge, not trying to look smart. 👍
@nickday35415 ай бұрын
Very cool...
@BobOcksucker5 ай бұрын
why did you stop posting math
@davidgillies6206 ай бұрын
Wish I'd seen this 35 years ago when the linear algebra portions of my physics degree were making my brain explode.
@aziz0x007 ай бұрын
👏👏👏👏👏👏👏
@aziz0x007 ай бұрын
👏👏👏👏👏👏👏👏👏👏👏👏👏
@visions2697 ай бұрын
Loathe based
@omargaber31227 ай бұрын
You are very rich, rich people don't need mathematics 😂
@omargaber31227 ай бұрын
What about mathematics?!😅
@omargaber31227 ай бұрын
Amazing
@clickaccept8 ай бұрын
Good presentation.
@bobtannous54648 ай бұрын
very good presentation and it is very clear. congrats
@itsUntamed9 ай бұрын
Would you ever consider re-publicing your old videos?
@M0rph1sm9 ай бұрын
With a finite basis for V, then maybe V iso Hom(k, V) implies Char(k) > 0 ?
@jasoncampbell14649 ай бұрын
9:14 Intersecting the elliptic curve twice at P to get the tangent in a way that Q becomes P would be analogous to P + P rather than P + 0 though, right? I think the explanation makes sense if the intersection we talk about isn't the tangent but rather the reflection of P across the horizontal. As you drag the point Q to infinity, holding P fixed, the intersection approaches the reflection of P, so that when you reflect the intersection across the horizontal you get P back. Showing that P + Q, when Q is inf gives back P The fact that it bridges concepts so well while sounding so contrived makes me love it even more. What a hack 😆
@inscitia9 ай бұрын
Nice presentation.
@qwerqwer25219 ай бұрын
that's pretty cool I guess
@farhadtowfiq676710 ай бұрын
This is very useful! Would you care to make a written summary to be used as a reference?
@xaviermachiavelli523610 ай бұрын
That's true ₩% wow
@cccccuy11 ай бұрын
part 3😢
@mathematicsgurucool7949Ай бұрын
hi,Did you get anything related to part 3 notes or the video?
@cccccuy11 ай бұрын
why is part 3 private? Could you please make it public?
@octaviocarpinetti432611 ай бұрын
I have a question. (Here V(x)V is V tensor V, I don't know how to make the symbol) You defined tensors such that they linearize bilinear maps. So, in the case of a bilinear form B:VxV->K. we have B corresponds to a linear transform L:V(x)V->K. But after, you said B is identified with an element of V*(x)V*. Why did we do linearization in the first place if we won't be using linear transformations? And also, how does that linear transformation L corresponds to the element of V*(x)V*? Is [V(x)V]*=V*(x)V*?
@AkamiChannel11 ай бұрын
This is incredible. Thank you.
@diribigal Жыл бұрын
Could you turn on youtube autogenerated captions for this? Even if it gets most of the math words wrong, it would help me follow the audio
@AllemandInstable Жыл бұрын
7 years after his banger video on tensor product, the king uploaded once again hope you will someday make other videos on mathematics
@wizardite Жыл бұрын
Life of a burned-out magician.
@fightForYourExistence Жыл бұрын
🐈🐈
@fightForYourExistence Жыл бұрын
🐈
@hasanxnv Жыл бұрын
Hi there, where are you studying in canada? By any chance are you in UBC?
@omargaber3122 Жыл бұрын
Great
@mathematicsgurucool7949Ай бұрын
hi,have you seen part 3? of this series,maybe it wasn't made private that time?and could you share those notes,if possible?
@omargaber3122 Жыл бұрын
wonderful!!!!
@JustNow42 Жыл бұрын
Demystified? Hmmm.
@no3339 Жыл бұрын
I’m a mechanical engineering undergrad that has taken intro to Lin alg and currently complex analysis. I must admit that some of these explanations are above the scope of my knowledge and bit confusing. I think it would’ve helped if I had learned Lin alg and geometric algebra in high school. I’ll definitely have to come back to this video in a while to fully understand everything. Thanks for the explanation!