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@randomz58902 жыл бұрын
Such a clear explanation of very opaque mathematics. Great video!
@fufaev-alexander2 жыл бұрын
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@chrstfer2452 Жыл бұрын
What makes that a "much better" notation than sigma, just because it's not a greek letter? One downside is that ive no idea how i'd quickly enter that in latex without defining a macro for it. Also, it makes other series-type operations *more* complicated to typeset (for instance, the union of indexed sets operator seems to me would just become the same operator but with a box around it). If you want to stop using sigma, einstein notation is better imo, this new boxed plus thing is like solving a nonproblem
@chrstfer2452 Жыл бұрын
And then you use it as an integral synonym too? Idk man, i think i just disagree
@fredthechamp3475 Жыл бұрын
I agree with you on his use of the "sigma" notation. He makes such a weird assertion.
@youtubepooppismo528410 ай бұрын
I guess because you can put any commutative binary operator inside, without having Sigma, Pi, Union, Intersection, Iterated logical AND and OR (whatever they're called) and others that i've never seen
@davethesid89609 ай бұрын
And it looks a lot like direct sum notation, only it's a box not a circle.
@nvnrmchl2 жыл бұрын
Do metal organic frameworks next! It’s an emerging field
@fufaev-alexander2 жыл бұрын
That sounds interesting, but I don't know anything about it! Feel free to join the polls I'm doing in the community tab. There you can vote for the next video topic: kzbin.infocommunity If you regularly visit my channel and like my videos, I would be happy about 1 x coffee ☕ per month: kzbin.infojoin
@helmutalexanderrubiowilson6835 Жыл бұрын
You are underrated!!! Fantastic channel
@arpg39102 жыл бұрын
Excellent video, as always. About the delta dirac's completeness relation expression, where did it come from tho? And how should one interpret that formula?
@fufaev-alexander2 жыл бұрын
Check out my lesson: en.universaldenker.org/lessons/1375 under the title "Property #2: Fourier basis is complete" Feel free to join the polls I'm doing in the community tab. There you can vote for the next video topic: kzbin.infocommunity If you regularly visit my channel and like my videos, I would be happy about 1 x coffee ☕ per month: kzbin.infojoin
@sergiolucas382 жыл бұрын
Amazing video, thank you :)
@fufaev-alexander2 жыл бұрын
Thank you! Feel free to join the polls I'm doing in the community tab. There you can vote for the next video topic: kzbin.infocommunity If you regularly visit my channel and like my videos, I would be happy about 1 x coffee ☕ per month: kzbin.infojoin
@chadkline42688 күн бұрын
Some people like more visual relations and less words 😊 when it comes to mathematics. Anyway, this is a very important topic. Words don't translate into mathematics well. A few good visual relationships are worth 10,000 words.
@teikono Жыл бұрын
Lovely explanation 👍
@fufaev-alexander Жыл бұрын
Thank you 🙂
@raven51652 жыл бұрын
I think you can also approxiamate function definately by Taylor series too if it is infinitely differentiable and converges
@fufaev-alexander2 жыл бұрын
yes, you are right! Unfortunately, not every function is "well behaved". :D Feel free to join the polls I'm doing in the community tab. There you can vote for the next video topic: kzbin.infocommunity If you regularly visit my channel and like my videos, I would be happy about 1 x coffee ☕ per month: kzbin.infojoin
@xfcisco Жыл бұрын
Best maths channel no cap
@fufaev-alexander Жыл бұрын
Oh thank you xfcisco!
@AJ-et3vf2 жыл бұрын
Great video as usual! Thank you!
@fufaev-alexander2 жыл бұрын
Thank you!
@thisisrr1 Жыл бұрын
Great stuff
@fufaev-alexander Жыл бұрын
Thank you!!
@schebbi2 жыл бұрын
Find das video sogar besser als das 3blue1Brown video zum thema, viel weniger abstrakt!
@fufaev-alexander2 жыл бұрын
Danke dir! Feel free to join the polls I'm doing in the community tab. There you can vote for the next video topic: kzbin.infocommunity If you regularly visit my channel and like my videos, I would be happy about 1 x coffee ☕ per month: kzbin.infojoin
@AlvaroALorite2 жыл бұрын
1:26 where did that New notation for summation come from?
@fufaev-alexander2 жыл бұрын
Let's put it this way: this is my personal, thought-out notation. Maybe it will become accepted at some point. 😁😄 I like this notation, because you can write other operations into the square, too, not only plus sign (for summation)
@AlvaroALorite2 жыл бұрын
@@fufaev-alexander i like it to!
@fufaev-alexander2 жыл бұрын
@@AlvaroALorite thank you 😇
@rktiwa Жыл бұрын
This is different way of explaining it. I hope if I watch it a couple of times may be I get it. So far I haven't been able to understand how it works through other videos dealing with this. Let me tell you though you are a class in yourself.