Calculus 3: how to find the curvature of a given vector function

[@bprpcalculusbasics]

3:14 is why you are here. You are welcome 🤗

[@bprpcalculusbasics]

Here's the proof for the curvature formula: kzbin.info/www/bejne/p3OcfqWddseUqNE

[@haniif190]

It's even a pi value!

[@hikari1690]

Thank you. But I'm here for the chinese counting

[@Jaie55]

Gooood, finally

[@WetzforLife]

He wasn't even incorrect in the original but it felt like it because the number was a prime square root.

[@ThaFuzzwood]

He didn't switch to Chinese in this one so it must be correct

[@ILLUSIONBEATZ]

Wild

[@davecrupel2817]

😂 true

[@azaimadil6670]

Wicked

[@vanesslifeygo]

🤣

[@workhard2belazy]

Mind blown, not by the math but by the marker switching.

[@ultimaq8730]

Dude has some skills 3:55

[@teaandlifetipswithuncleiro855]

Yeah the marker switching is genuinely impressive

[@sqlexp]

But he can't write squares without parentheses. Why?

[@dragz4life422]

i think it is clearer what to square when dealing with positive and negative numbers , and especially when adding or subtracting them @@sqlexp

[@MolotowCocktail24]

​@@sqlexp Maybe its for consistencies sake, you could technically just not use the parentheses until you come across a negative value, but doing it that way is inconsistent and would probably just confuse struggling students. I suppose this consistent parentheses usage for every single value would be akin a guardrail to hold on to, most don't really need it but damn the consequences if you would have needed them and they were not there

[@halqthedarktemplar]

​@@sqlexpto make it clearer

[@kingming3948]

I didn't even learn this but i still want to watch this

[@Leonlion0305]

Finally understand the cross product part. I thought it is the 3x3 times 3x2 matrix and was really confused. Turns out it is just a hack to calculate the cross product so it comes out more nicely. Thank god I haven’t forgot _that_ much of my vector calc skills 😂

[@hikari1690]

As a computer scientist I forgot everything and just use matlab~

[@anthonynguyen5596]

@@hikari1690Even I can’t remember using MATLAB but this video helps out greatly 😅

[@hikari1690]

@@anthonynguyen5596 hehe. Not to sound old but I've forgotten more maths than most people would have learned cause I can just google everything

[@evefroggo4755]

Could you do a video on Quadric Surfaces please? The hardest stuff in Calc 3 so far for me has been the 3D geometry.

[@najigharib8837]

Thank you for your effort and for benefits got from these videos and all maths subjects you give, Can you explain the way we got the formula of curveture

[@momonga.]

Remember switch to your second marker is faster than reloading your markers

[@259remix]

🔥Tactical Writing🔥

[@Uulfinn]

Wow, I was never taught the cross product shortcut. This is so much easier to remember than how I was taught.

[@Mstrickster2]

I'm not good at calculus but your explanation was really easy to follow along with :) I feel like I know calculus now

[@sutterismine]

I just came from the Chinese version!

[@lagrangewei]

when it get super hard, he will start talking in Sanskrit to communicate with the Buddha...

[@GoodOleDFT]

I really need to look at vectors and matrices again. I swear I learn and relearn but they escape my head way too easily.

[@WreathStorm]

Glad it's not just me lol

[@SuhbanIo]

I THOUGHT I WAS THE ONLY ONE

[@saanvisharma2126]

This video is so cool though. I came from the one in which you switched to Chinese and thought that was so funny, so I kinda just sat down with a paper and pencil to work it out myself. When I came to that part I was stumped too! Good to know at least one of us got the answer!

[@mariojordan9543]

Aye this is super cool. Im a med student but just discover ur channel by accident and i could follow along! Prettt cool

[@rykehuss3435]

How is the curvature of an electromagnetic field computed in Riemannian geometry using the Kerr-Newman metric and Ricci tensor?

[@Kitkatklaws]

I would love to do math and be able to speak Mandarin as well as you are able to do calculus equations and speak English!! So impressive :) ❤

[@jamesbrock3584]

Ngl i got kinda lost at prime but then you hit me with the double prime and that completely took me for a spin

[@vikramgogoi3621]

I understand. It's ugly. You expect the roots to cancel out, but it didn't and you get a monster instead.

[@Libertysable]

Remember, ist faster so switch to your secondary marker, than reloading.

[@sayalint5155]

I completely forgot my high school math and have 0 knowledge of calculus, why am I here 😂 but awesome job keep educating future generations!

[@wada-wada]

Let's watch this problem which requires default language to solve

[@seanl7856]

Very smart guy.

[@Jalan-Api]

Remember, you can always first do calculations and translate so you have memory left over to focus on one task

[@MarioAGzzL]

Agile wrist move with the markers. I did not need to watch this video at all, I arrived here due to a previous one where you switch to chinesse becuase you got wrapped up on the magnitude of r´, as | r´ | New subscriber, keep up the good work!

[@vapx0075]

My youth is the square root of my current age. The sum of my knowledge of calculus is one over my current age. The sum of my knowledge of calculus is one over my youth, squared.

[@teniluvsyousm]

We know it’s accurate because he didn’t revert back to his default settings

[@FLCoeur]

讲的真好

[@ashoka7273]

This is gonna sound incredibly stupid but apparently I can't trust my phone calculator, because if I do -6² it gives back -36 while when I enter -6*-6 it obviously gives back 36. Which it should be, right? Am I crazy?!

[@surrealife2]

-6² should be computed as -(6²) unless you notate it as (-6)²

[@0Quackers]

the good ending

[@uki39]

This is kinda nostalgic. I haven't touch math for a few years already 😂

[@hersheykisseys]

Dudeee I used to be good at this. I LOVE proving.

[@MandarimWave]

English was holding his true potential

[@derekschinke2512]

I think it really should be written sqrt(266)/98

[@gam3rman85]

i dont get it... he got the same answer as he did in the other video?

[@nyatella]

the marker switching got me in a chokehold 😩

[@azuhawl]

this is basic calculus?

[@bharatlalratre]

Cross product Chinese version 😅

[@michaelvonhaven105]

so he thought he made a mistake in the first video but should have continued?

[@LiverpoolfcEPL]

they teach this in primary school

[@31redorange08]

Ah, the curvature. *kappa*

[@phill3986]

👍👏

[@hikari1690]

What did he call the K? Kaapa?

[@allenkang8186]

Yes thats greek for K.

[@hikari1690]

@@allenkang8186 ooooh ty. Thought I misheard Kepler or something and wanted to be sure

[@mdforhad-wk1zo]

K cap

[@user-lo7vq8if6z]

it's tengo kawana

[@roycetechquest]

i see.

[@broytingaravsol]

something elementary