Orthogonality? More like “These videos have got to be” some of the best on KZitem; thanks so much for making them!
@mahmoudgadelrab5133
4 жыл бұрын
awesome I have exam at 4-11 -2020 and these contents helps me so much and would be happy that you will download more video of this course as more topics would help me a lot in my exam, Finally I cannot find words to thank you , but hope all success to you and for this creative content
@PunmasterSTP
2 жыл бұрын
I know it’s been awhile, but I was curious; how did your exam go?
@jaimelima2420
4 жыл бұрын
Hi. Super Explanations. Do you plan to talk about constructions of type B = ? These type of operators are very important in engineering. Thanks!
@Prashanth-yn9zd
10 ай бұрын
Can you make videos of Sobolev spaces please?
@sinanakhostin6604
2 жыл бұрын
At 1:50 you emphasized that U could be a subset (not necessarily a subspace). It means that U might not have the zero vector. Am I right?
@brightsideofmaths
2 жыл бұрын
Yeah, it could be any subset.
@earnlarrenzagadovalmoria4945
Жыл бұрын
it's too late for my report but hopefully you can make a video regarding orthonormal set and sequences
@brightsideofmaths
Жыл бұрын
Thanks! What is it exactly what you want to see in such a video?
@afaale1
2 жыл бұрын
At 4:56 you didn't say "Bye" ;(
@brightsideofmaths
2 жыл бұрын
Oh, then now: Bye!
@hashimm5860
3 жыл бұрын
Please give class £p is separable but£ infinite is not separable
@KaiseruSoze
4 жыл бұрын
How do you distinguish between "linearly independent" and "orthogonal"?
@oskaradolfson7450
4 жыл бұрын
Orthogonality is a stronger property than linear independence. I.e. orthogonality implies linear independence but not necessarily the converse
@KaiseruSoze
4 жыл бұрын
@@oskaradolfson7450 ty. But say you have two vectors in 4-space, you can't see the 4th dimension. I.e., it's not directly verifiable as orthogonal. So the mystery I'm wondering about is how to show mathematically that the 4th coordinate is geometric rather than a number?
@jared805
4 жыл бұрын
@@KaiseruSoze what do you mean show its geometric and not just a number? Isnt geometry just an interpretation of numbets? Also this def of orthogonality still applies to n-dimensional vector spaces
@KaiseruSoze
4 жыл бұрын
@@jared805 No. If anything numbers are dependent on geometry. E.g., a football field is 100 times longer than a line like thing we refer to as a yard stick. Think of a measurement result as the quotient of two lengths where both are unknown. The question I'm asking is more like "How is a metric space different from a parametric space?"
@jared805
4 жыл бұрын
@@KaiseruSoze i mean you can't have an idea of orthogonality without an inner product which imposes a metric as well. But there many other spaces in topology without a metric on them. They dont really have an concept like orthogonality though
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