As a high schooler who is considering a major in math but afraid of how abstract it might get, this video is seriously tempting me to take the leap anyway. I really love the way you visualized the concept (by the way, what did you use/how did you animate your video? I'm obsessed with the style) and can imagine it being applied to so many different fields. Fascinating.
That last point is key. People seem to learn better if they can hook the new learning onto something that already makes sense to them. Using relevant examples also makes the stories stick better.
I love how many references to memes and games there are in these videos, like TIS-100 at 8:10 for example. It's nice to know that people know a lot of obscure games like that.
Network theory phd student here, and new subscriber to your channel. I think there are many interesting ideas which you can animate, you already touched some great points in the pokemon video. And the animations are great, congratulations! I would like to point out a misconception in this video, which may deserve a future video as I find it quite interesting. You make a relation between hubs & small world networks, but that is not necessarily true. In fact, the first model for small-world networks (by Watts and Strogatz) does not feature hubs, instead it focuses on the existence of bridges which appear by a rewiring procedure. Networks with hubs are usually called scale-free, with the first model being that of Barabasi and Albert, and AFAIK they need not be small world. They are if hubs are connected to each other, if they are far apart they need not be. But yeah, in general they will be. Anyway, great content, hope to see more in the future!
Thanks so much, I appreciate the kind words! And yes, entirely correct. I actually did have this as a footnote in the first network theory video prior to this one (footnote 6 I believe) but completely forgot to include it in this video itself. In that initial video I debated that aspect a lot but it was one of those inaccuracies where I felt its pedagogical value outweighed the rigorous definition. edit: oops, I didn't realize which video this was lol. The footnote is in this one actually.
@gonzacont4975 You are right, the BA model does not generate small world networks (technically it's possible, but happens with probability 0 asymptotically). BTW, scale-free is a stricter property than just having hubs; it means that the degree distribution follows (at least approximately) a power-law distribution, but you can have hubs with other degree distributions.
dude !! your channel is sooo underrated! great content , great animation and a good humour too ! keep up the awesome work and little by little you will become wayyy more known.
I just wanted to say that I love your videos. If you ever need any help with research or something (for example in your latest video, counting the space between ummm’s) Im down to help. I feel like this channel is awesome, and deserves way more, and a little help cant hurt.
hahah thank you so much, I really appriciate it. I'm definitly keeping it mind. Right now my main focus is on graduating with videos in the background so I feel like i cant devote enough time to the channel to feel comofrtable with asking others to devote their time lol.
Speaking of a small world, this reminds me of Structuralism. It's like Mathematics meets Sociology and, speaking purely "objectively", I find awesome!!
Hi, sorry I’m new to your channel…but..this is some of the most amazing animation I’ve ever seen….the planning…the minuscule details….its mind blowing. Please, tell me how you got to this level, what resources or programs you use and how I might even begin to start to learn to do something like that. I have seen tutorials for many things but this just seems……beyond what one person could achieve? Casually??!! Any insight appreciated. I feel like I’ve just found a huge blind spot in my understanding!!!
I mean, are all of the images I see hand drawn by you? In 3D? Or is there some kind of library you are pulling things from? I’m so confused right now!!!!
haha thank you! Honestly though, theres really nothing that I "did" in order to do this. I think the main thing is (and this is actually related to the script that im currently writing) always be willing to take inspiration from many different sources. My phd is in physics but I used to be an arts student and I appriciate what artisits do and take inspiration from them in my science stuff as well. That is just one example but you can extend it to everything. Reading books, listening to music, watching movies or youtube and - but not just education books or youtubers, I take a lot of inspiration from game critic youtubers or art youtubers, science fiction books, and all that, and taking (figuratively) the things I like about their style and merging it with my own. Theres really no answer here that I can give beyond that. In terms of programs resources - really the only thing I am doing is using is blender, davinci resolve, and a bit of python. Python I know from my studies but blender and davinci resolve i only picked up a few months ago and I am admittedly pretty mediocre at both and half the time im just googling "how do I do X in program Y" until I find what I need. Also keep in mind that while I do these on my own, they take a long time to make. The final product is not indicitive of the work that went in to it, but it also doesn't necessarily mean that work is beyond anyone. I mostly have no idea what im doing so really anyone who has the time/motivation to make these is able to.
crazy good video! I just discovered you channel from you video about "uhmmm". keep up the good work, people like you spread curiosity and the desire to learn cool stuff like math!
You are taking on subjects, which are of high interest to me. Your production quality is way above what add income could pay for. How do you do that? Asking for a friend...
Interestingly, Deaf and hard of hearing networks are more tightly-knit than Hearing networks, yet the individual networks are cut-off from one another. I attribute this to the relatively small number of sign language speakers compared to verbal language speakers. On average, there are only two or three degrees of separation between any two members of the local Deaf Community. Whenever a Deaf friend and I go to a silent event, chances are one of us will try to introduce the other to someone we both already knew.
this is so cool! I never thought about it but makes so much sense. Are you speaking anecdotally or do you know of any studies on it? I'd love to read more about it.
@@not_David I'm hard of hearing, and participate in my local Deaf community. I damaged my left ear as a kindergartener, and studied ASL throughout high school. I actually did a project on Japanese sign language back then; they have a sign that they use just like how we like, keep saying the word "like".
5:54 This has become less true with the rise of modern jet liners which are small but fuel efficient enough to travel really long distances. These days you can find flights from small airports that go almost directly to your destination. Though there still is something of a hub nature just because most people tend to want to go to major cities because that's where all the interesting stuff is.
Thanks to everyone for the amazing support in my previous video! In the next video we will actually look at how one would apply network theory and some of the metrics being used.
I saw a video about Niklas Luhmann's social systems theory and now 8 wonder if this network stuff is compatible with it. It seems his systems are networks.
I'm not familiar with it but network theory is very big in the social sciences so I wouldn't be suprised. Much of network theory terminology (e.g., ego network, or cliques and communities) come directly from social science studies.
I am a geologist that studies fracture networks. However, I haven't had a vigorous math background. Where would you guide me to get more accustomed to network theory and the mathematics (or programming) behind it?
highly highly recommend Mark Newmans introduction to networks text book. The first bit is a math free exploration of many of the things network theory can be applied to. The math is then introduced at an excellent pace in my opinion. Theres a fairly large section regarding spreading processes on networks (e.g., percolation). People in my research group do also study geophysics work, but im not sure how much network theory they use so I don't know how helpful it will be, but check out the table of contents and you should get an idea of if it at least seems interesting for you
Thanks so much! I made everything mostly using a combination of blender and a bit of python (mostly for making the actual networks themselves using the networkX library). It wasn't too difficult but it was very time consuming haha.
network theory is more or less just applied graph theory. Outside of math and some comp sci people refer to graph theory as network theory. Its more or less all the same, with some minor, mostly semantic, nuances. Theres a great paper on the difference between the two called something like "network theory vs graph theory" and they essentially conclude its all about context.
Ive been thinking a lot about this even before you mentioned it. I was very proud of the video when I made it but I feel like I was to worried about not including math. If I ever do a similar video (which I almost without a doubt will) I think it'd turn out slgihtly differently.
and also quarks, they look an awful lot like that. and theyre triads, except when theyre not, and also theres this new unfittted "charm" quark that AI found. might have something to do with these
You have a great animation style and clarity of presentation! Keep up the good work - people will find your channel
Thanks so much, I appreciate the kind words!
Turns out you were right
As a high schooler who is considering a major in math but afraid of how abstract it might get, this video is seriously tempting me to take the leap anyway. I really love the way you visualized the concept (by the way, what did you use/how did you animate your video? I'm obsessed with the style) and can imagine it being applied to so many different fields. Fascinating.
That last point is key. People seem to learn better if they can hook the new learning onto something that already makes sense to them. Using relevant examples also makes the stories stick better.
I love how many references to memes and games there are in these videos, like TIS-100 at 8:10 for example. It's nice to know that people know a lot of obscure games like that.
Network theory phd student here, and new subscriber to your channel. I think there are many interesting ideas which you can animate, you already touched some great points in the pokemon video. And the animations are great, congratulations!
I would like to point out a misconception in this video, which may deserve a future video as I find it quite interesting. You make a relation between hubs & small world networks, but that is not necessarily true. In fact, the first model for small-world networks (by Watts and Strogatz) does not feature hubs, instead it focuses on the existence of bridges which appear by a rewiring procedure.
Networks with hubs are usually called scale-free, with the first model being that of Barabasi and Albert, and AFAIK they need not be small world. They are if hubs are connected to each other, if they are far apart they need not be. But yeah, in general they will be.
Anyway, great content, hope to see more in the future!
Thanks so much, I appreciate the kind words!
And yes, entirely correct. I actually did have this as a footnote in the first network theory video prior to this one (footnote 6 I believe) but completely forgot to include it in this video itself. In that initial video I debated that aspect a lot but it was one of those inaccuracies where I felt its pedagogical value outweighed the rigorous definition.
edit: oops, I didn't realize which video this was lol. The footnote is in this one actually.
@gonzacont4975 You are right, the BA model does not generate small world networks (technically it's possible, but happens with probability 0 asymptotically). BTW, scale-free is a stricter property than just having hubs; it means that the degree distribution follows (at least approximately) a power-law distribution, but you can have hubs with other degree distributions.
dude !! your channel is sooo underrated! great content , great animation and a good humour too ! keep up the awesome work and little by little you will become wayyy more known.
I just wanted to say that I love your videos. If you ever need any help with research or something (for example in your latest video, counting the space between ummm’s) Im down to help. I feel like this channel is awesome, and deserves way more, and a little help cant hurt.
hahah thank you so much, I really appriciate it. I'm definitly keeping it mind. Right now my main focus is on graduating with videos in the background so I feel like i cant devote enough time to the channel to feel comofrtable with asking others to devote their time lol.
@@not_David makes sense. I just wanted to add on that I have a good knowledge in coding. Let me know if you ever need my help!
8:05 the game that is showing in the PC is TIS-100. It a fun game by zectronics
Ah, I see you too are a person of refined taste and culture
Man I am so glad your recent video blew up and showed me this channel because I really really love it. Can’t wait to be here to watch it grow
Speaking of a small world, this reminds me of Structuralism. It's like Mathematics meets Sociology and, speaking purely "objectively", I find awesome!!
Using TIS-100 in your animations is so cute. Love it.
I would've LOVED to see a 20 minute deep dive into the math of graph theory and how it relates to real world problems
Hi, sorry I’m new to your channel…but..this is some of the most amazing animation I’ve ever seen….the planning…the minuscule details….its mind blowing. Please, tell me how you got to this level, what resources or programs you use and how I might even begin to start to learn to do something like that. I have seen tutorials for many things but this just seems……beyond what one person could achieve? Casually??!! Any insight appreciated. I feel like I’ve just found a huge blind spot in my understanding!!!
I mean, are all of the images I see hand drawn by you? In 3D? Or is there some kind of library you are pulling things from? I’m so confused right now!!!!
haha thank you! Honestly though, theres really nothing that I "did" in order to do this.
I think the main thing is (and this is actually related to the script that im currently writing) always be willing to take inspiration from many different sources. My phd is in physics but I used to be an arts student and I appriciate what artisits do and take inspiration from them in my science stuff as well. That is just one example but you can extend it to everything. Reading books, listening to music, watching movies or youtube and - but not just education books or youtubers, I take a lot of inspiration from game critic youtubers or art youtubers, science fiction books, and all that, and taking (figuratively) the things I like about their style and merging it with my own. Theres really no answer here that I can give beyond that.
In terms of programs resources - really the only thing I am doing is using is blender, davinci resolve, and a bit of python. Python I know from my studies but blender and davinci resolve i only picked up a few months ago and I am admittedly pretty mediocre at both and half the time im just googling "how do I do X in program Y" until I find what I need.
Also keep in mind that while I do these on my own, they take a long time to make. The final product is not indicitive of the work that went in to it, but it also doesn't necessarily mean that work is beyond anyone. I mostly have no idea what im doing so really anyone who has the time/motivation to make these is able to.
Recently found your channel, and may I say... I have enjoyed everything that has been mentioned, keep it up!
thanks so much!
Awesome to see a math free view, but would also be super cool to see elaborated math versions :)
I just gotta say thanks for making videos man. You're helpful.
Hell yeah that's a Bojack Horseman quote right there!
crazy good video! I just discovered you channel from you video about "uhmmm". keep up the good work, people like you spread curiosity and the desire to learn cool stuff like math!
Thank you :)
Good stuff Not David, glad to find another excellent channel. Wishing you the best.
this is lucky ig? yesterday i spent like 30 minutes looking for your channel and but i forgot the name today it got reccomended to me
You are taking on subjects, which are of high interest to me. Your production quality is way above what add income could pay for.
How do you do that?
Asking for a friend...
The study of networks unites disciplines like a tether connecting everything.
Meta af
Interestingly, Deaf and hard of hearing networks are more tightly-knit than Hearing networks, yet the individual networks are cut-off from one another. I attribute this to the relatively small number of sign language speakers compared to verbal language speakers. On average, there are only two or three degrees of separation between any two members of the local Deaf Community. Whenever a Deaf friend and I go to a silent event, chances are one of us will try to introduce the other to someone we both already knew.
this is so cool! I never thought about it but makes so much sense. Are you speaking anecdotally or do you know of any studies on it? I'd love to read more about it.
@@not_David I'm hard of hearing, and participate in my local Deaf community. I damaged my left ear as a kindergartener, and studied ASL throughout high school. I actually did a project on Japanese sign language back then; they have a sign that they use just like how we like, keep saying the word "like".
5:54 This has become less true with the rise of modern jet liners which are small but fuel efficient enough to travel really long distances. These days you can find flights from small airports that go almost directly to your destination. Though there still is something of a hub nature just because most people tend to want to go to major cities because that's where all the interesting stuff is.
The last point about education is spot on
I for sure would have liked math much earlier in my life if I didn't spend so much of it using a TI-84 calculator to solve for x day in and day out.
Thanks to everyone for the amazing support in my previous video! In the next video we will actually look at how one would apply network theory and some of the metrics being used.
Who are you?!? I'm subbed now.
8:00 great games
Ridiculous is a better word than silly, for future use- makes you feel older and wiser
I saw a video about Niklas Luhmann's social systems theory and now 8 wonder if this network stuff is compatible with it. It seems his systems are networks.
I'm not familiar with it but network theory is very big in the social sciences so I wouldn't be suprised. Much of network theory terminology (e.g., ego network, or cliques and communities) come directly from social science studies.
I am a geologist that studies fracture networks. However, I haven't had a vigorous math background. Where would you guide me to get more accustomed to network theory and the mathematics (or programming) behind it?
highly highly recommend Mark Newmans introduction to networks text book. The first bit is a math free exploration of many of the things network theory can be applied to. The math is then introduced at an excellent pace in my opinion. Theres a fairly large section regarding spreading processes on networks (e.g., percolation). People in my research group do also study geophysics work, but im not sure how much network theory they use so I don't know how helpful it will be, but check out the table of contents and you should get an idea of if it at least seems interesting for you
I like your video
How you did this, i would love to know
Thanks so much! I made everything mostly using a combination of blender and a bit of python (mostly for making the actual networks themselves using the networkX library). It wasn't too difficult but it was very time consuming haha.
@@not_David thankyou for sharing
Love your content but the audio is very low.
Max vol is very quiet
yeah I'll definitely be working for correct that in the future. Thank you for letting me know!
WAIT!
Who was the main character in star wars?
second this ^^ obi wan?
What is the difference between a network and a graph? This just seems like an applied graph theory video
network theory is more or less just applied graph theory. Outside of math and some comp sci people refer to graph theory as network theory. Its more or less all the same, with some minor, mostly semantic, nuances. Theres a great paper on the difference between the two called something like "network theory vs graph theory" and they essentially conclude its all about context.
boy you gotta get further than this. i want the meat. screw them, lets divulge it. nobodys guarding thee knowledge, just selling it
Ive been thinking a lot about this even before you mentioned it. I was very proud of the video when I made it but I feel like I was to worried about not including math. If I ever do a similar video (which I almost without a doubt will) I think it'd turn out slgihtly differently.
@@not_David look up the “not knot” you are the chosen one. I believe in you. Make a mess!
and also quarks, they look an awful lot like that. and theyre triads, except when theyre not, and also theres this new unfittted "charm" quark that AI found. might have something to do with these