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Eigenvectors and Eigenvalues (2015)

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Re: Eigenvectors and Eigenvalues (2015)

#81

Post by AceJohnny2 »

swaggyBoatswain wrote: post #77
AceJohnny2 wrote: post #57

Earlier quoted context omitted.

Edit: I realize I overlooked the "like 3Blue1Brown" prereq, instead sharing a list of the educational/interesting channels I find worthwhile. The most like 3Blue1Brown will be the PBS ones (especially SpaceTime), MinutePhysics, and Mathologer, for using diagrams to convey abstract concepts. PBS Space Time and Eons are both awesome: * PBS Space Time, covers cosmology and quantum physics: https://www.youtube.com/channe…

I just realized I had 80% of these subscribed already, then I looked at how many channels I subscribed too (700+) I like tinkering with things so I have some mechanical / electrical engineering / makers on my list as well. I listed my favorites of that list here * Tom Scott - Lots of interesting unique topics related to engineering, programming, and history https://www.youtube.com/channel/UCBa659QWEk1AI4Tg--mrJ2A * C…

700? Damn! And I have trouble tracking what to watch with my few dozen subscriptions!

Also, something rant about YouTube's recommendation engine, that doesn't mesh with my subscriptions into account well enough, offering many videos from channels I don't subscribe to and not enough from those I do subscribe to. Does it work better for you with your firehose of subscriptions?

Re: Eigenvectors and Eigenvalues (2015)

#82

Post by swaggyBoatswain »

AceJohnny2 wrote: post #81
swaggyBoatswain wrote: post #77

Earlier quoted context omitted.

I just realized I had 80% of these subscribed already, then I looked at how many channels I subscribed too (700+) I like tinkering with things so I have some mechanical / electrical engineering / makers on my list as well. I listed my favorites of that list here * Tom Scott - Lots of interesting unique topics related to engineering, programming, and history https://www.youtube.com/channel/UCBa659QWEk1AI4Tg--mrJ2A * C…

700? Damn! And I have trouble tracking what to watch with my few dozen subscriptions! Also, something rant about YouTube's recommendation engine, that doesn't mesh with my subscriptions into account well enough, offering many videos from channels I don't subscribe to and not enough from those I do subscribe to. Does it work better for you with your firehose of subscriptions?

Youtubes recommendations are terrible but occasionally I find some good things. Firehosing my videos subs this way has not made the experience any better

I tend to have a really bad habit of subbing things I dont really need too. I used subbing more as a way to "bookmark" channels I like. I do the same with github, I am that type of person that 700ish repos bookmarked

I do put alerts on channels I know won't constantly spam me with too many videos (e.g. smarter everyday, wendover productions, mark rober, tom scott, primitive technology). Usually i watch every video that gets released there

I dont put alerts on channels that are good quality but high spam (e.g. casey neistat, tested, vsauce, etc). Normally i just binge watch these in one setting.

I dont put alerts on any programming or shiny tech channels. Like tutorials on how to use react, etc. I go to youtube to get away from all of that and would naturally seek those videos out with search terms anyhow.

I put a like button on every video ive watched that doesnt suck and leave comments to timestamp videos. I put dislike on videos that are poorly explained or didntt work for me (e.g. these are usually how to install xyz videos). This way i can instantly know if I've seen a video before ans found it useful or had to debug something years later (IT type stuff) to find it didnt work out

If i liked a video i check the top comment if its mine.

Basically I use google and youtube as my own personal search repository. Its like forking a github repo and adding annotations. I treat it the same way. If im going to 9 times out of 10 google something in the end, i might as well make the process easier to do next time.

Im still looking for a better UX youtube experience that doesnt suck. Havent found it yet.

How i would like to have it is organized by the following.

1. High quality videos low spam first uptop in feed.

2. Everything else sorted by its video category type and or playlist

3. General recommendations from youtube

Re: Eigenvectors and Eigenvalues (2015)

#83

Post by in9 »

tgb wrote: post #79
bladecatcher wrote: post #78

Earlier quoted context omitted.

It’s possible to understand eigen-* without having an understanding of determinants. That’s how they’re introduced in “Linear Algebra Done Right” - http://linear.axler.net/

And they exist in situations where determinants are difficult or impossible to define! Infinite dimensional vector spaces can still have transformations with eigenvectors but you generally can't define a determinant coherently for them (certainly they might have infinitely many eigenvalues and if the determinant is the product, then you have convergence problems). A classic example is that the standard Gaussian distr…

You just blew my mind with this comment. I'm a statistics undergrad student and I really need to up my math knowledge. Where is this fact from? Functional analysis?

Re: Eigenvectors and Eigenvalues (2015)

#84

Post by tgb »

in9 wrote: post #83
tgb wrote: post #79

Earlier quoted context omitted.

And they exist in situations where determinants are difficult or impossible to define! Infinite dimensional vector spaces can still have transformations with eigenvectors but you generally can't define a determinant coherently for them (certainly they might have infinitely many eigenvalues and if the determinant is the product, then you have convergence problems). A classic example is that the standard Gaussian distr…

You just blew my mind with this comment. I'm a statistics undergrad student and I really need to up my math knowledge. Where is this fact from? Functional analysis?

Yeah that would be a good course to learn it - functional analysis is basically linear algebra on infinite dimensional vector spaces. (Though that sells it a little short - moving to infinite dimensional vector spaces requires incorporating some topology too.)

Re: Eigenvectors and Eigenvalues (2015)

#85

Post by bashcorrupt »

AceJohnny2 wrote: post #57
bashcorrupt wrote: post #52

Earlier quoted context omitted.

>I follow a number of education channels on YouTube Any recommendations? I would love to look into channels that you think are like 3Blue1Brown but in other subjects (natural sciences, history, art etc.).

Edit: I realize I overlooked the "like 3Blue1Brown" prereq, instead sharing a list of the educational/interesting channels I find worthwhile. The most like 3Blue1Brown will be the PBS ones (especially SpaceTime), MinutePhysics, and Mathologer, for using diagrams to convey abstract concepts. PBS Space Time and Eons are both awesome: * PBS Space Time, covers cosmology and quantum physics: https://www.youtube.com/channe…

Thank you! Introduces me to a whole new universe out there!

Re: Eigenvectors and Eigenvalues (2015)

#86

Post by chaotic_clanger »

AceJohnny2 wrote: post #57
bashcorrupt wrote: post #52

Earlier quoted context omitted.

>I follow a number of education channels on YouTube Any recommendations? I would love to look into channels that you think are like 3Blue1Brown but in other subjects (natural sciences, history, art etc.).

Edit: I realize I overlooked the "like 3Blue1Brown" prereq, instead sharing a list of the educational/interesting channels I find worthwhile. The most like 3Blue1Brown will be the PBS ones (especially SpaceTime), MinutePhysics, and Mathologer, for using diagrams to convey abstract concepts. PBS Space Time and Eons are both awesome: * PBS Space Time, covers cosmology and quantum physics: https://www.youtube.com/channe…

seems that pbs has a new one on Noethers theorem: https://www.youtube.com/watch?v=04ERSb06dOg

Re: Eigenvectors and Eigenvalues (2015)

#87

Post by haskellandchill »

Retra wrote: post #66
haskellandchill wrote: post #28

Earlier quoted context omitted.

No gif will help. There is no visual explanation that will help was my point.

Surely visual information helps with geometric problems? Our geometric intuition basically evolved to predict the relevance of light patterns on our retinas, and geometry is a language designed to encode these intuitions, so there's no reason to think visual tools presenting geometric facts would inherently fall short.

And yet I still think that. What's up? I'm broken. Good to know.
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