Helmholtz Principle and Vortex Motion with

[@TomRocksMaths]

Watch part 2 of the collaboration where Trefor teaches me a little algebraic topology, specifically the fundamental group: kzbin.info/www/bejne/f6HOq4GbiJ16aJI

[@DrTrefor]

Thanks for having me Tom, learning some fluids was so much fun!

[@aashsyed1277]

wait.......Trefor said it was the first part....

[@abriellh]

learning cal is really fun because before a handful of months ago these symbols on the board had no context now i can see that everything is starting to become apparent.

[@CRehm]

I‘m actually trying to find periodic solutions near critical points in arbitrary domains of the N-Vortex problem for my PhD, so I love this example :))

[@mousemade1]

Retired postgrad eng scientist here - what a delightful, clear explanation. More enjoyable though was to see two such skilled mathematicians interacting like this. Well done both of you, most enjoyable.

[@TomRocksMaths]

glad you enjoyed it :)

[@enigma7791]

Fluid mechanics...Game companies would love you Tom!

[@tshepisomhlanga5389]

If Orochi (King of Fighters 97) was a math professor 😎. Thanks for making Mathematical Sciences very cool

[@KingGisInDaHouse]

Until I seen your videos I thought it was only possible to be a cool math teacher XOR a good math teacher. You have disproven me.

[@TomRocksMaths]

[@mozayn2378]

Dr. Trefor is an Absolute Goat!

[@TomRocksMaths]

amen

[@YashwanthXtreme]

Another quicker way of visualizing (1/x^2)+(1/y^2) = constant is: Kinda visualize 1/x or the Hyperbolic curve, x^2 or any power changes the smoothness of the bend towards the origin. Maybe this is not a quicker way I don't know but the video was amazing and how the math just fits in with physical observations & absolutely beautiful part was being able to drop the term where the value of function goes to infinity (pole) in the given contour and how the method of images became usefull. Thankyou.💜

[@TomRocksMaths]

nice!

[@jackdavies2562]

Vortex dynamics is such a beautiful subject within fluid dynamics, and I am happy to see you are giving this theory exposure to a wider audience through your amazing videos!

[@TheAyhan76]

Ohh the jung best professor. Your moving is very interesting Bravo 👍

[@ScottTilYouDrop]

So so good!! Very helpful for my studies too! Thanks

[@iteerrex8166]

Ver very cool! Looks like a full derivation (no jumping lol) would have taken a couple of hours or more, but Trefor was following very well. More then I was at times.

[@federico1183]

I did it in my thermal machine course in ME and it took us 5 modules of lessons each being 1.5 hours

[@iteerrex8166]

@@federico1183 You mean thermodynamics? I’m not sure if it took us that long, but it has been awhile since I took that class.

[@federico1183]

@@iteerrex8166 well, yes and no. I already had a thermodynamics class a year ago and we barely touched the subject. Earlier this year i had a thermofluidynamic class in which we studied in detail the workings of turbines.

[@whilewecan]

I enjoyed this. Thank you very much.

[@aashsyed1277]

looks so cool! i bet i'll enjoy this :)

[@thegift1066]

This was amazing!

[@TomRocksMaths]

glad you enjoyed it!

[@lorenzodelre245]

Veramente fico, I went through the entire video and it was a lot of fun!

[@TomRocksMaths]

Glad you enjoyed it!

[@scottstirling804]

For those wondering, the way you go the other way with curl is related to the topology of the space and is related to something called the De Rham Cohomology of the space.

[@vlatka2283]

Nice!! Like you've said very intuitive, but explained throu science. Loved it!

[@TomRocksMaths]

:)

[@aniketeuler6443]

Your hairstyle is mine favourite Tom

[@NoNTr1v1aL]

Amazing video!

[@TomRocksMaths]

Thanks!

[@TheAcer4666]

I really enjoyed this video! A first for a TomRockMaths for me. I wish more videos were this kind of content, rather than the clickbait stuff of taking off your clothes or doing GCSE maths papers

[@THEMATT222]

Very NOICE 👍

[@younasahmad2149]

I have absolutely NO idea whats going on but I just find it interesting.

[@TomRocksMaths]

that's all that matters!

[@mc-cricket]

Amazing!

[@TomRocksMaths]

[@alwysrite]

can you do a video explaining all the math in your tattoos please?

[@TomRocksMaths]

i explain a lot of them here: tomrocksmaths.com/tattoos/

[@archivist17]

Oh, I need to revisit vector calculus! Lol.

[@TomRocksMaths]

yes it would certainly help in this one!

[@earendilthebright5402]

1/y^2 + 1/x^2 = C reminds me of the circle equation but inverted

[@luminouslentil8510]

"I'm the fluid guy..." Tom, 2021

[@TomRocksMaths]

always

[@matthewdearsley123]

what extras do you add in to look at when the wall may break? This assumes the wall is indestructible

[@matthewdearsley123]

and, i assume that a black hole would compact all opposing fields in 2D into 1 and the wall would be meaningless? Any tips for that sort of Math?

[@Anonymous51701]

Bro, has anyone ever told you that u look like an epic anime mathematician

[@TomRocksMaths]

lol i'll take it

[@ezu8501]

Tom is so pretty

[@abdoshaat3304]

Why complex function where it come from ??????

[@Unidentifying]

rotation

[@mathunt1130]

Now add a magnetic field...

[@evelpete]

Where were you when I studied this at school? Oh yeah, you weren't even a good movie and a nice bottle of wine on a Friday night yet.

[@earendilthebright5402]

Pls dont go to the residue theorem Im' actually understanding so far!

[@itsreeah2663]

Oh no try not to think of fluid dynamics when you next go swimming😂 Or if you like you can teach people at the pool but they may want to sunbathe I DK how they would react LOL

[@nebenmensch5325]

[@nebenmensch5325]

i would like to have a unisex Tee tshirt with your face instead of einsteins or tesla. xD

[@TomRocksMaths]

ha that would be fun!

[@erigor11]

You should be ashamed to sell your name and, even worse, to dare to talk in the name of mathematics in such a clearly biased and improperly made bogus "study" like the one you did for Live Score, establishing Cristiano Ronaldo as the "best football player in history" using one of the most flawed maths I've ever seen in my life. What a shame for Oxford University to have something like that linked to them and what a shame for mathematics in general. Truly shameless, utterly pathetic... all just for money. If you have any kind of decency left and actual love for mathematics, you should get that video down. Spreading misinformation like that only goes against what you're supposed to be doing with your channel and against actual critical thinking. No one should be using their academic renown in such a negligent and disrespectful way. Reconsider your actions...

[@Unidentifying]

calm down boi