Mathematics Gives You Wings

  Рет қаралды 1,295,486

Stanford

Stanford

Күн бұрын

Пікірлер: 285
@ThomasJr
@ThomasJr 3 жыл бұрын
The fact that she can explain these complicated things so well means she understands it really really well.
@kurtgodel28
@kurtgodel28 Жыл бұрын
There's plenty of other people who understand these things very well, they just happen to be shitty instructors, or they're just too lazy when it comes to teach to other people.
@Aycore2011
@Aycore2011 7 жыл бұрын
Wow, I love how she makes it all seem simple, a trait of an excellent teacher !
@ThomasJr
@ThomasJr 3 жыл бұрын
she doesn't withhold knowledge
@46monkeyes
@46monkeyes 4 жыл бұрын
I wish someone told me back in high school that all of the math courses would merge together!
@Star-system
@Star-system 4 жыл бұрын
Point noted!
@EvanSerrano1988
@EvanSerrano1988 3 жыл бұрын
Right and what sucks is if u miss a few day ur fucked basically cuz everything goes into all the rest of the stuff ur gonna learn...!!!
@EvanSerrano1988
@EvanSerrano1988 3 жыл бұрын
In other words don't skip ur math class kids...!!!
@stv3qbhxjnmmqbw835
@stv3qbhxjnmmqbw835 3 жыл бұрын
@@EvanSerrano1988 I regularly missed my maths classes in high school did well in high school, doing pretty well at uni
@NazriB
@NazriB 2 жыл бұрын
Lies again? AMG OMG
@ScarTrakk
@ScarTrakk 7 жыл бұрын
Well I have to say, She is an excellent teacher.
@SatishNatarajan
@SatishNatarajan 7 жыл бұрын
52 minutes spent well spent. I hope to see more of your lectures on this subject. Thanks a lot
@tigertiger1699
@tigertiger1699 5 жыл бұрын
Priceless quote.. “Luckily we know how to Engineer these things”👍
@TekCroach
@TekCroach Жыл бұрын
She is undoubtedly an awesome teacher.
@riggs20
@riggs20 7 жыл бұрын
I love the concept and ordeliness of mathematics. It's almost peaceful. I wish my brain could follow the logic and abstract thought it takes to truly understand it.
@thedoublehelix5661
@thedoublehelix5661 4 жыл бұрын
it just takes practice.
@riggs20
@riggs20 4 жыл бұрын
@@thedoublehelix5661 Yeah, I know practice helps. I guess I get discouraged because it is always an uphill battle. Perhaps one day I will try to study it a little more and see where it takes me. But there are a lot of other things on my bucket list I think I'd like to achieve 1st!
@thedoublehelix5661
@thedoublehelix5661 4 жыл бұрын
@@riggs20 if you ever wanna dive deep you should learn real analysis it's very beautiful in my opinion
@ThomasJr
@ThomasJr 3 жыл бұрын
It probably can, but it doesn't come easy for most people, even some of the mathematicians. You have to work really hard on some of these subjects to really get it.
@jusleejolm1042
@jusleejolm1042 2 жыл бұрын
@@thedoublehelix5661 Real analysis is nice.
@hassanhan9124
@hassanhan9124 3 жыл бұрын
She is born to be a teacher....what a joy to watch..!
@quantummath
@quantummath 6 жыл бұрын
The art of teaching is to translate the gist of any complexity into a consistent story that the audience relates to.
@quantummath
@quantummath 3 жыл бұрын
After three more years of teaching, I still agree with my "past self" :-D
@abdullahibrahimhassan7301
@abdullahibrahimhassan7301 3 жыл бұрын
@@quantummath oh cool to hear and yeah you are absolutely correct
@TekCroach
@TekCroach Жыл бұрын
Mathematics can be simplified so it becomes intuitive. First understand it intuitively and then solve equations.
@kedarsalunkhe1142
@kedarsalunkhe1142 5 жыл бұрын
Red bull : Am I a joke to you?
@MrKmanthie
@MrKmanthie 5 жыл бұрын
Uh, yeah, kinda.
@bhaskardangat
@bhaskardangat 5 жыл бұрын
Thank you Professor you are awesome........The current generation is so lucky to have all this Knowledge easily available... I happen to land on this video, coz of (Redbull)Gives you wing...I
@3dgar7eandro
@3dgar7eandro 3 жыл бұрын
We really need to give credit to all this brilliant minds and make an even better use of their Habilities 😌👏🏻👏🏻👏🏻👌🏻👌🏻👌🏻
@robertclark2607
@robertclark2607 5 жыл бұрын
Nice expression of maths in the form of numerical Analysis. Good teacher makes it inviting :)
@fordprefect7583
@fordprefect7583 6 жыл бұрын
It is a fine balance to present a complicated subject like this without going over the tops of the audience's heads, or oversimplifying. I think Professor Gerritsen nailed it. To the critics from the mathematical world, I say 'what have you done to make the subject accessible to a wider audience?' And if any viewer makes the mistake of thinking this 52 minute video will teach them everything there is to know about PDEs and numerical simulation, I would be surprised and disappointed.
@arifazman5057
@arifazman5057 3 жыл бұрын
Currently studying master in Educational Mathematics in Malaysia.. I enjoyed very much of this lecture and watching it full frm early till end!! Thank you!
@hamidrezaafshin4626
@hamidrezaafshin4626 2 жыл бұрын
You are one of the best teacher I have ever seen.
@Briedys101
@Briedys101 2 жыл бұрын
Amazing Lecture ! Opened many many ideas for me. There is a lot of room for creativity. I am software engineer at my 42. I am so happy i can listen to Stanford lectures. And I am a bit "jealous", young generation have such a nice opportunities for learning, that i didn't have :)
@charlesklimko492
@charlesklimko492 2 жыл бұрын
I'm 61; I feel the same-way.
@devendersinghattri4654
@devendersinghattri4654 5 жыл бұрын
Absolutely Superb! such an amazing explanations for complex things happening around us. Really great! !!!!!!
@bhatt6873
@bhatt6873 2 жыл бұрын
Incredible Lecture. Revisited the basics of fluid mechanics. The last time in Kharagpur. Just got glued to it while cooking......thank you
@alvkarthik2018
@alvkarthik2018 4 жыл бұрын
I have been taught navier Stokes' by so many teachers but this one is the best
@carloagapito8238
@carloagapito8238 3 жыл бұрын
I like how she speaks... as a filipino it's easier to understand her than other speakers who speaks super duper fast .
@anymaths
@anymaths 3 жыл бұрын
speak and listen
@jaarmen3990
@jaarmen3990 6 жыл бұрын
Thank you Dr. Gerritsen.
@jean-francoisbouzereau6258
@jean-francoisbouzereau6258 5 жыл бұрын
I am in love with numerical analysis
@siasabora
@siasabora 14 жыл бұрын
demystified equations... learned a lot
@freesurfer76
@freesurfer76 14 жыл бұрын
Thank you Professor Margot!
@tigertiger1699
@tigertiger1699 5 жыл бұрын
Margot is worth every cent she is paid!?,😳 what competent leader... and very generous story teller👍
@viswanathgowd4060
@viswanathgowd4060 3 жыл бұрын
I got more clarity on some concepts. Thanks for the lecture.
@artrose1717
@artrose1717 3 жыл бұрын
When she talkes about wind and air flow, it's a funny coincidence that she was born in a tiny little village in the Netherlands, where also lived an age ago the physicist Buys Ballot, who was the founder of the Dutch weather institute, and has a law named after him, which has to do with air flow and winds.
@anymaths
@anymaths 3 жыл бұрын
mathematics
@playergame6398
@playergame6398 4 жыл бұрын
💯Mam's sense of humor how to antilcipate about learning with advance mathematics is combination of beauty and the beast. 💥
@brainstormingsharing1309
@brainstormingsharing1309 3 жыл бұрын
Absolutely well done and definitely keep it up!!! 👍👍👍👍👍
@clydecessna737
@clydecessna737 7 жыл бұрын
At the boundary layer of a fast moving car the dust on the car will not be removed by the wind at any speed.
@MK-13337
@MK-13337 6 жыл бұрын
If "drag" (the air resistance) counts as wind the yes, if you go at say 11 km/s you would burn out like a meteor and the dust would definitely get cooked away.
@christophermcewan8065
@christophermcewan8065 4 жыл бұрын
Thank you for putting this on KZbin!
@anymaths
@anymaths 3 жыл бұрын
youtube maths
@nikolaykolev5125
@nikolaykolev5125 7 жыл бұрын
This is what I call "The beauty of mathematics" and yes, I am deliberately ambiguous!
@lieutenanttuvok7918
@lieutenanttuvok7918 6 жыл бұрын
horny dickheads
@dantelin2382
@dantelin2382 5 жыл бұрын
What a gem of a teacher.
@jing-chingchen2333
@jing-chingchen2333 4 жыл бұрын
Crystal clear!! mathematics can be much practical for outsider wanna to know more!!!!
@marcosgalvao3182
@marcosgalvao3182 4 жыл бұрын
Its a nice class ! Thanks for the information.
@MechMon
@MechMon 3 жыл бұрын
42:39 - If the pressure difference between the top and the bottom is due to the shape of the wing and is what makes planes fly, how do planes fly upside down?
@mohammedabdulmuqtader6498
@mohammedabdulmuqtader6498 7 жыл бұрын
quite clear thanks for educating in a simple way of understanding
@devendersinghattri4654
@devendersinghattri4654 4 жыл бұрын
Absolutely Superb! I wish my school teacher explained math this way! --mathematics wouldn't have been my bug -bear !
@jeffschlarb4965
@jeffschlarb4965 6 жыл бұрын
Really like the "Innate Ability in Math? I don't think so" page on your blog..Very similar to what I tell people on Quora...So much like language and Music....practice practice practice People only see "equations solving themselves in their mind", because they have solved 500 other problems of the same type
@vaivashwatpandey3372
@vaivashwatpandey3372 5 жыл бұрын
Why are you underrating talent? One can not achieve great success just doing hard work. innovative thinking comes from innate ability friend
@garrycotton7094
@garrycotton7094 4 жыл бұрын
@@vaivashwatpandey3372 Neuroplasticity would like a word with you.
@TheHChapman4
@TheHChapman4 4 жыл бұрын
I like Mathematics, however, this is way above my level but Stanford is a school I could never get into! The Prof. made it a comfort to the learning criteria! My Bachelors is in Criminal Justice.
@coastaltoaster1371
@coastaltoaster1371 7 жыл бұрын
Whoo! Where was this 12 years ago?!
@Ahmad-cn7pv
@Ahmad-cn7pv 6 жыл бұрын
yes...but if all instructors are taught like her life will be 99% easier
@nareshtwinkle
@nareshtwinkle 7 жыл бұрын
Thank you Professor i am hoping to meet you once.
@rameshsingh2480
@rameshsingh2480 3 жыл бұрын
Indians are not allowed to meet .
@jqwiiiiqqirmnsnnsnnsnnsmjjrj
@jqwiiiiqqirmnsnnsnnsnnsmjjrj 2 жыл бұрын
@@rameshsingh2480 What?
@fredericoapuleio9583
@fredericoapuleio9583 3 жыл бұрын
Congratulations from Brazil. It was an amazing lecture. This subject is underrated sometimes, but it's very interesting.
@stultuses
@stultuses 3 жыл бұрын
I wonder if she now uses machine learning to optimize solutions now? The amount of compute power available would see those simulations she talked about when this video was made to run in a fraction of the time now Many of those factors she used to have to dismiss because they were considered too small or would require too much compute power would now be within easy reach Machine learning would enable a multitude of designed to be run and the optimal solution derived Her skill in the maths aspect would be yeilded to the computer aspect but the mathmatical modeling and factors to take into account would require experience and domain knowledge, that I think would be her forte Edit At 44:00 into the video is what machine learning solves for
@carlosalbertocuadros5469
@carlosalbertocuadros5469 2 жыл бұрын
EXCELLENT CLASS
@charlesmorello5641
@charlesmorello5641 2 жыл бұрын
Hell of a teacher... Wish i could had her back in the young days
@baburamkharel2276
@baburamkharel2276 2 жыл бұрын
What a teacher!
@adrianomachadodeoliveira801
@adrianomachadodeoliveira801 5 жыл бұрын
i have learning english here! thank you teacher!
@davideaccorsi5637
@davideaccorsi5637 4 жыл бұрын
I understoond they were the Navier Stokes equations from the last derivative (dw/dy). I know, many equations can contain that term, but I said to my self: they are the NS equations!
@walterbrown8694
@walterbrown8694 2 жыл бұрын
Enjoyed your presentation - Generally disliked mathematics until I began my first calculus courses in engineering school in 1955. ( In retrospect, the choice of electrical engineering is a bit weird for one who dislikes math ) I found that mathematics is a language which gives us ways to measure, and predict not only the physical world - energy, forces, mass, velocity, acceleration, electrostatics, electrodynamics - but social, economic, political behavior and action. Now in my late 80s, I still enjoy solving math "puzzles"/problems, and programming such things as missile - target engagement and financial predictions.
@gibbs-13
@gibbs-13 4 жыл бұрын
I am proud of me being able to figure out that she is Dutch
@davidwilkie9551
@davidwilkie9551 5 жыл бұрын
The best of applied concepts
@smithjones569
@smithjones569 5 жыл бұрын
Damn, I fell in love again
@tripp8833
@tripp8833 4 жыл бұрын
Perv
@monahf
@monahf 3 жыл бұрын
@@tripp8833 He means in Love With maths
@MethenySco
@MethenySco 3 жыл бұрын
Amazing teacher!
@gsanewphysics8902
@gsanewphysics8902 6 жыл бұрын
Mathematics actually is about a way of modeling patterns that we see in the real world. It is similar with thought experiment, a mathemathic equation can be made to obtain the result they wanted to get.
@ankushmahesh932
@ankushmahesh932 Жыл бұрын
Until now I thought "Red Bull gives you wings"
@davidwilkie9551
@davidwilkie9551 7 жыл бұрын
Calculus is the ordinary everyday appearance of "condensed" Time, the cause-effect of Eternity-now. This is the best way to develop at least a practical understanding, by putting designs to the test and beginning the kind of iterative process that eventually clarifies the math in context. _____ The boundary layer properties of air flow against the wing surface is interesting in the circumstances of the "One Electron" theory, in which orthogonality of reciprocal, radial, tangential, modulated timing, to limts of omnidirectional-dimensional spatial strata, are organized by the Quantum Mechanism in concentric fields of Spinfoams. Ie it's the "atomist" e-Pii resonant manifestation of temporal superposition/everything in relative proportions of quantum information, as in the Single Side Band format described by String Theory..., SSB because the observed universe is estimated to be a relative 4% of the probable Universe composed in a QM-TIME wave-package. The result, in each point of resonant positioning, is the sifting of the layers of cofactors and primes in superimposed probability/perspective - modular/molecular orbital, through the conduction/bonding field zones, as turbulent flow. _____ And "confirming" that idea is the basis of observational evidence,.. that the integration, sum of all historical data.., or substantiated evidence, is the probabilistic empirical result of thousands of years perceptions of mathematical practices. At the "center of mass" of objects in calculations, are the probabilistic objective vanishing points/.dt, of material characteristics, the superficial focus of properties sufficient to position the objects in "repeatable experiment" calculations. So although the mathematical process demonstrated in the video may seem ephemeral and subjective, it is the act-ual multi-phase existence, elemental meaning of stated principles, by the modulated-measured use of computational timing, ..the natural quantum operator/timing methodologies. _____ In other words, this lecture represents an excellent example of the observable mathematical elements used in the construction of an emulation methodology, corresponding to the natural e-Pi-i of the act-uality of eternity-now, QM-Time calculation/modulation, self-defining existence. "Sizeless" 1-0D Superposition-point existence of Eternity manifests physically as infinite spacetime, an omnidirectional surface brane normal to the point singularity connection of 1-0Duration now, so it's the self-defining Origin of the Polar-Cartesian Coordination of elemental reference to connected unity, that may be chosen arbitrarily anywhere-then here-now automatically "renormalizes" all zreo to infinity relative scaling intervals, functional/dimensional references at the Origin, in Perspective, (eg a designated "y" axis). Ie it's a Numerical ratio/rational frequency of e-Pi-i resonance brane normal to the sum of all history setting, in the location of the Quantum unit vector of observable universe.., identified geometrically. _____ If Eternity-now is the QM-Time frequency-amplitude modulation mechanism spectrum of the .dt temporal superposition singularity-superspin, then it's familiar identity/methodology is The Calculus, and the "envisioned" concept of Universal continuity is the emulation, One Electron theory.., (not only electronic, it's basic Principle), which provides an initial format to couple with the Methodology shown here, for reasoning and abstracting the actual cause-effect of Temporal Superposition, Eternity-now, ..first "origin-al" principle. (Equivalent to the consolidated Observation, the Reduction of guesstimation, ..of Everything, ..that is the Origin of postulates, hypothesis, and theory, to Technology/Methodology in Actuality/Practice)
@MrKmanthie
@MrKmanthie 5 жыл бұрын
jesus; what's up w/the long-winded answers? Bored? Trying to impress a math girl out there? C'mon. Keep it concise or you'll lose people.
@MrKmanthie
@MrKmanthie 5 жыл бұрын
PS string theory is total horseshit! No way to prove it. ST is just a lazy, but convoluted way of saying "I give up; I'm too lazy or stupid to go all the way w/the real physics of nature (the universe, subatomic particles, etc)so I'll just buy into this crap that some party boys doodled and passed off as "the answer". Really, ST is just another religion, since there's no way to prove or to positively disprove it. It takes an act of faith. Waste of time!
@carlosalbertocuadros5469
@carlosalbertocuadros5469 2 жыл бұрын
Good Job Professor, smart and beautiful Lady.
@Noswolf
@Noswolf 3 жыл бұрын
i want her as teacer about math an im dyslexia.... she is Telling better then any teacher i ever seen
@motivator21-
@motivator21- 7 жыл бұрын
competent teacher
@sanjaypanwar6871
@sanjaypanwar6871 5 жыл бұрын
wings of 🔥.it talks abiut absolute absolutely
@rodgarcia50
@rodgarcia50 6 жыл бұрын
What a wonderful woman.
@mingto7753
@mingto7753 Ай бұрын
When I entered Engineering graduate school at the beginning of 80s in the last century, the department academic breakthrough was in the earthquake liquefaction of saturated soils. The responsible professor, whose math skills I admire, was able to formulate non-linear equations to solve that engineering problem. I was not in that discipline but I heard from his graduate students that solving those nonlinear equations digitally using the 'beautiful linear algebra' was often a challenge. A slogan 'if in doubt, iterate' was commonly heard. Using multiple iteration of a linear tool to approximate a nonlinear solution is time consuming and often of unknown accuracy. Fast forward to the last few years when China successfully tested their hypersonic missile, hitting the targeted area after going half way around the world. The Western scientists' response was 'that is not science!' There was a few Chinese Utube pieces on the successful test(s), claiming that the missile actually had facilities to solve the Navier-Stokes equations in real time, that was the key for their success. Weren't the Western rocket Scientists relying on the same set of nonlinear equations for the US rockets? Why was their comment on what the Chinese did so negative? Of course I am not privy to any military secrets on either side, so I don't know if the Chinese had developed an analog quantum similator for the missile that would over come the nonlinear problem of the governing atmospheric equations. Indeed, Mathematics do give one wings, but there are limitations in using a linear tool to solve nonlinear problems. Methinks that if any modern Daedalus(es) (some western scientists and mathematicians) try to oversell the use of these wings, then at least let some of the modern Icarus(es) (willing Russian and Chinese Scientists and Mathematicians) have equal time to tell the users stories of the same wings.
@mudauphumudzo6278
@mudauphumudzo6278 7 жыл бұрын
good explanations
@walitogama4439
@walitogama4439 3 жыл бұрын
You are a great Math teacher
@mescale
@mescale 2 жыл бұрын
Pretty thank you, very interesting and educational! 🙂
@TOPTUTORSONLINE
@TOPTUTORSONLINE 4 жыл бұрын
Excellent presentation...
@uuitgaurav
@uuitgaurav 2 жыл бұрын
I can understand her accent. It's first time for me to understand english accent of any professor.
@anthonyowoh3665
@anthonyowoh3665 6 жыл бұрын
Thanks a million
@HasanCanBaran
@HasanCanBaran 5 жыл бұрын
Awesome . I am impressed your telling about to the integrity overall of the contains and meaning of the more considerably innovations then significantly ideas. The execeed improving of the Huge World mankind neccesarry of the produceable newest highest grade to capacity and renewable collabrate releated of the science confugrations . I LOVE THIS CHANNEL . VERY IMMERSIVE
@venkatbabu186
@venkatbabu186 4 жыл бұрын
What are those equations. Parametric evaluations or dynamics of the prediction and design modelling. Mathematical logic is a layer above for AI engine to create work flow and decision making. Mathematics is deep learning and logic is a higher work engine. The thing works somewhat like this. Ok google. Will it rain today. First layer is NLP. Second layer is logic engine. Third is description engine. Fourth deep learning math engine. Fifth reverse logic and derivative. Sixth lookup and tabulation and presentation.
@muhendiseksper7026
@muhendiseksper7026 3 жыл бұрын
This is fluid mechanics not comp. math. It would be better example of showing usage of math in technical analysis in forex. It will be my subject on master degree thesis in Economics, in Yildiz Technical University.
@samarendrakumarsinha8898
@samarendrakumarsinha8898 5 жыл бұрын
boson and bosini i.e. god & goddess particle and wave transverse and logitudinal wave i.e particle (photon ) stationary and locomotion
@FlavioBertamini
@FlavioBertamini 6 жыл бұрын
In past comments to this great video have been disabled! I hope it will not happen again 😊
@zhiweimin8142
@zhiweimin8142 5 жыл бұрын
偏微分方程确实不好解,most of time, it is impossible to solve partial differential equation, so computer is needed
@ThomasJr
@ThomasJr 3 жыл бұрын
She didn't touch on the problem of the Navier-Stokes system of equations, the question whether there will always be solution for any given initial conditions and whether they will always be smooth. It's one of the 7 millenium problems with a money prize.
@rashfari
@rashfari 5 жыл бұрын
i love her looks, voice tone and of course the content of her delivery...awesome, truly beauty with brain
@pointinpolyhedron
@pointinpolyhedron 4 жыл бұрын
Delft produces some amazing applied mathematicians :)
@Inamullahkhan6294
@Inamullahkhan6294 6 жыл бұрын
SHE IS AN EXCELLENT TEACHER
@electricaldesign280
@electricaldesign280 6 жыл бұрын
I love the way how math describe theworld by using numbers si matin but i don't understand it from algebra to geometrywhat is the solution or my mine is not able to catch it
@paulcrooks3876
@paulcrooks3876 6 жыл бұрын
We really study these to try to understand aviation principle better. Things like even plumbing........
@lalithakum4986
@lalithakum4986 6 жыл бұрын
It Is exiciting to knpw the details that control.
@creativwriting
@creativwriting 3 жыл бұрын
Respect!
@suzimanipur2983
@suzimanipur2983 4 жыл бұрын
Happy new year😀🎉🎉
@newmathexperiments4702
@newmathexperiments4702 5 жыл бұрын
2iπ ≠ 0 sothe 2iπ = what? plese tell me. thankyou
@yashuppot3214
@yashuppot3214 5 жыл бұрын
That is the simplest way to write 2ipi
@illeone5433
@illeone5433 6 жыл бұрын
How can I master the subject?
@jiyoungpark6233
@jiyoungpark6233 3 жыл бұрын
oh, thank you for performing promises of giving me math lectures, i didn't think you remembered those, still🌞
@yashagarwal3999
@yashagarwal3999 4 жыл бұрын
learnt a lot
@abhijeetpratap603
@abhijeetpratap603 5 жыл бұрын
Redbull gives you energy; Mathematica makes things fly!
@jamalkhan1798
@jamalkhan1798 3 жыл бұрын
It really is true that " Maths has wings ".
@Vinterborn
@Vinterborn 7 жыл бұрын
Brilliant.
@sangeetharamdave6274
@sangeetharamdave6274 4 жыл бұрын
Thanks
@mahmoudwanas8400
@mahmoudwanas8400 5 жыл бұрын
in the first question is have said a mass,,, am i good ???
@الطاهرمحمدأحمد-س6ه
@الطاهرمحمدأحمد-س6ه Жыл бұрын
Look in this link to find right solution for Fermat's Last Theorem
@jyboulay
@jyboulay 4 жыл бұрын
According to a new mathematical definition, whole numbers are divided into two sets, one of which is the merger of the sequence of prime numbers and numbers zero and one. Three other definitions, deduced from this first, subdivide the set of whole numbers into four classes of numbers with own and unique arithmetic properties. The geometric distribution of these different types of whole numbers, in various closed matrices, is organized into exact value ratios to 3/2 or 1/1. sites.google.com/view/jyboulay/accueil
@benthayermath
@benthayermath 4 жыл бұрын
15:40 she uses a left-handed coordinate system lolz
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