Euclidean Distance: Math, Applications and Code

[@Radu]

I've been wanting to make a video about the Euclidean distance for the last 3 years, but visualizing higher dimensional spaces is hard and I didn't have the skills to do it back then. Now, with an extra push from the #SoME3 competition, I managed to do something I'm quite happy with. What do you guys think? :-)

[@unknown-bx8my]

Awesome video as usual😎

[@Radu]

​@@unknown-bx8my Thanks!

[@___d3p1]

This video deserves a prize! Great visualization and explanation! It opens your mind!

[@Radu]

Glad you liked it! :-)

[@zk-mc]

Love this video so much. Clear explanations and surprisingly high production value - with your help I managed to grok it in a way I never had before. You are a godsend. Ta

[@Radu]

I'm happy you got another perspective :-)

[@Frankslaboratory]

Your visuals are getting better and better.

[@Radu]

Thanks!

[@javifontalva7752]

Pure magic!!

[@knightullas6946]

🎉

[@RipMoney911]

This was so clear and concise, it's actually crazy. You explain things so well! This was unimaginably useful, many thanks!

[@Radu]

Thank you. Makes me happy to hear I was of help! :-)

[@pesterenan]

My god that was simply INCREDIBLE! The visualization from the car "learning" to drive made me understand how that type of AI classifies the sensors distance to decide which way to turn! Awesome video Radu!!!

[@Radu]

Wow, thanks! :-) [btw, looks like your drawing made it here as well]

[@pesterenan]

@Radu Yeah! That is so cool, hahaha. You really know how to integrate your viewers on your videos :D

[@Radu]

I try :-)

[@csguru8211]

Oh my god!!!! Your tutorial are like dream come true for those who want to understand things so clearly as you explain. I want to become a teacher like you. I'm also learning a lot from your videos. Thankyou for putting so much efforts in making these videos and making it available for free.

[@Radu]

Glad I could help :-) Thanks for watching!

[@nathanoy_]

This video is incredible! Glad i found your channel. This made me instantly subscribe to your channel.

[@Radu]

Glad to hear you liked the video and thanks for coming to the channel :-)

[@jholloway77]

This was fantastic. I used what I learn to make an application that matched products by their RGB color values, pairing the different products brands with the closest colored products from other brands. Not as fancy as the car application, but using it to automate data saved me a day of work!

[@Radu]

It's great you found your own application to use it in :-) Nice work!

[@robbiewilliamson9783]

There is a book I really like called "Drive your plow over the bones of the dead" by Olga Tocarczuk. There is a scene where two of the characters are translating William Blake's poetry into English. They both go away themselves and write how they think the passages should be translated into English, and then they compare their two versions of the poem to see the differences in their translations, to come up with a third version of the poem in polish that is truest to the the imagery, meter and meaning of the original. The catch is that the book is translated into English (which is my first language). They somehow manage to capture the nuance of translating into another language and provide two versions of the translations so that you can see the hiccups that a translator might face, all while using only English. It is a brilliant magic trick of translation and understanding. This video is on a par with that.

[@Radu]

Oh wow... Thank you. Your comment made my day :-)

[@basiccoder2166]

what a great visualization and edits props to the editor

[@Radu]

Thanks!

[@redserpent]

wow, absolutely brilliant video, your process of explanation helped me connect the dots about 2-d and 3-d algebra. Thanks.

[@Radu]

Thank you. Always nice when I get a new comment for this one. It's one of those I worked on a lot but doesn't get that much attention :-P

[@PrantikNoor]

This is the first time, I felt the need of higher dimension. 😙

[@Radu]

:-) Good to hear!

[@user23724]

This was really engaging, I loved it, thank you!

[@Radu]

Glad to hear :-) thanks for watching!

[@EnglishRain]

Fantastic video, superb explanation & visualization

[@Radu]

Glad you liked it!

[@AsifZeeshan]

Simply! Awesome! Really easy and intuitive explanation.

[@Radu]

Thank you! :-)

[@abdullaprobably]

Mind-blowing🤯🤯, thank you for this Radu Sensei🙌, Love from India ❤❤❤

[@Radu]

Glad you liked it! :-)

[@tohirasadov689]

Really wonderfull job!...............The best of the best my friend.

[@Radu]

Thank you!

[@freigeist2147]

Very good work on this Video, Thanks ! :)

[@Radu]

You're welcome. Thanks for watching :-)

[@shadrinan90]

Great visualizations!

[@Radu]

Thank you!

[@alexsouza22]

Great video! Thanks for all the effort to make it more digestive average humans

[@Radu]

Thanks for watching!

[@oldumvolley]

admirations for the effort!

[@Radu]

Thanks :-)

[@plapbandit]

I needed this, thanks Doc

[@Radu]

You're welcome :-)

[@javifontalva7752]

Great! You always make my day! Thanks!!!

[@Radu]

Glad to hear that!

[@AhmadAbdelsalam-g6x]

thisis a really cool animation 2:34 , what did you use to make it , did you use manim or anything else ?

[@Radu]

Thanks! I coded it in ThreeJs... Also did editing afterwards in Premiere Pro. Manim could definitely be used, but I don't know it well and I had some related JavaScript code I could take modules from and build this relatively easy.

[@MrSilversMathSheets]

This is done very well!

[@Radu]

Thank you :-) I hope it helps many people.

[@adrian__4678]

Esti tare!

[@Radu]

:-) Merci!

[@lightyagami6823]

If only my teachers were like you :)

[@Radu]

Well, teachers teach things... So if you learned something from this, I was your teacher :-)

[@mirjalol49]

damnnnn man, what else u can do? why noone on the internet shows smth u do? u are so smart man. can u upload such mind blowing things pls

[@Radu]

Glad you liked it. Thanks for watching :-)

[@Son_Goku2018]

that is the most entertaining intro so far

[@Radu]

Thanks!

[@BrettCoffin]

Brilliant ;) Thank you

[@Radu]

Glad you liked it!

[@drtobbyas]

I love the visualization and animations. Do you mind sharing what tools you used in creating the visualization? Great video

[@Radu]

Hi, I actually coded all visualisations in JavaScript. I also used ThreeJS.

[@JoaoLucas-tw2pt]

you're being good with video editing

[@Radu]

Thank you!

[@neilclay5835]

very professional video

[@Radu]

Thank you!

[@outsomnia]

your videos are actually best and it's not even close lol

[@Radu]

Thanks for watching :-)

[@zlackbiro]

And the most bizarre thing is everything he do is in JavaScript. Hahahah. So simple and clean. I love JavaScript.

[@Radu]

:-)

[@wgalloPT]

This is fantastic

[@Radu]

Thank you!

[@sharmarahul384]

Your animations are amazing! What do u use for it?❤❤

[@Radu]

Usually I just code them in JavaScript. For this one I used ThreeJs as well.

[@sharmarahul384]

@@Radu I thought I am the only one who wants to do things from scratch! 😅😅

[@Radu]

Many people want (need) to do things fast, so 'from scratch' is rare nowadays.

[@ninjacodertech]

wow that was really interesting!

[@Radu]

Glad you think so! :-)

[@javifontalva7752]

12:37 How can you type in both languages at the same time?😮

[@Radu]

Magic of editing :-D

[@javifontalva7752]

@@Radu Editing is a kind of magic. But the real magic is watching you coding. I am still a wannabe magician.

[@viktoreidrien7110]

so basically any feature added to distinguish shapes from the drawings is a new dimension right?

[@Radu]

Exactly!

[@viktoreidrien7110]

@@Radu nice!! Thank you my friend! Looooove your content, keep it up please!!!

[@Radu]

​@@viktoreidrien7110 I'll try ;-)

[@gaming_zen_99]

Hey Bro! So I have been practicing coding for many month's now but nowadays I feel like I am nothing learning/improving as much as I used to before. What can I do about it?

[@Radu]

In general, learning curves look like what you describe. You quickly get the basics down, and then improvements naturally come slower. It might be just normal.

[@gaming_zen_99]

@@Radu Thanks bro! Highly appreciated.

[@DeveloperJS-w1s]

What math skills do I need to work on this project?

[@Radu]

What project? This is just a math video explainer.

[@DeveloperJS-w1s]

@Radu 1D 2D 3D calculating balls distance

[@Radu]

Calculating a distance is not really a project :-)

[@DeveloperJS-w1s]

@@Radu it needs some math skills like sin, cos...

[@Radu]

Some distance functions require them, yes. But the euclidean distance does not.

[@MadaraAzukar]

🥳 I have a q How to make something like gpt with the same things like we did it in recognition

[@Radu]

First step is to convert words into numbers (feature vectors). You can look up word2vec online (there are others as well). It's not the full story for getting something like GPT but it's the step that makes the problem more similar to those we studied.

[@unknown-bx8my]

Wow! Very cool and informative question and answer.

[@Radu]

@@unknown-bx8myThank you :-)

[@1keck596]

👍👍👍

[@Radu]

👍

[@jakobmusic9187]

well made

[@Radu]

Thank you!

[@ChandrashekarCN]

💖💖💖💖

[@Radu]

:-)

[@quantumgaming9180]

Esti cumva absolvent de la universitate? Fiindca imi suna familiar numele tau

[@Radu]

Da, la mai multe :-) la care universitate te referi?

[@quantumgaming9180]

@@Radu Universitatea Bucuresti, Poli, Ase? :)

[@Radu]

Nu, am fost la Vest, la Timisoara :-)

[@klirmio21]

bro your intro... omg.... you probably could be working at Google and earn so much money with your skills and brains... the intro amazed me holy fuck Edited after I watched it: Bruh.... I am speechless... If only I had such resources when I was at school, I would've probably finished it with much better grades. How do you make all those visualizations? Is that a program, or what? Like, when you showed the math, or when there were sensors showing when the car moving and on the right the whole "tree" was lighting up accordingly... There's a lot intertwined to Hypotenuse and pythagorean theorem, and squre root...

[@Radu]

Thank you :-) I'm glad to hear you liked it so much. I coded everything you see here, pretty much... visualizing the math, the self-driving car with the sensors (I have a full course on that) I just used it here (easy). And the drawing recognizer is from my machine learning course (also on KZbin). The Pythagorean theorem is from one of my other explainers (check out the math and code fundamentals playlist).

[@klirmio21]

@@Radu 🤯🤯🤯 I will, Radu!

[@TJ-hs1qm]

4:41 Khaby 🥰😂

[@Radu]

:-))

[@omkarmudras756]

I think we begginers intermediates find this things fascinating. Just an fact no offence.

[@Radu]

Glad to hear :-) why would I be offended by that? :-D