Mathematics Gives You Wings
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- čas přidán 8. 07. 2024
- October 23, 2010 - Professor Margot Gerritsen illustrates how mathematics and computer modeling influence the design of modern airplanes, yachts, trucks and cars. This lecture is offered as part of the Classes Without Quizzes series at Stanford's 2010 Reunion Homecoming.
Margot Gerritsen, PhD, is an Associate Professor of Energy Resources Engineering, with expertise in mathematical and computational modeling of energy and fluid flow processes. She teaches courses in energy and the environment, computational mathematics and computing at Stanford University.
Stanford University:
www.stanford.edu/
Stanford Alumni Association:
www.stanfordalumni.org/
Department of Mathematics at Stanford:
math.stanford.edu/
Margot Gerritsen:
margot.stanford.edu/
Stanford University Channel on CZcams:
/ stanford
The fact that she can explain these complicated things so well means she understands it really really well.
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.
Well I have to say, She is an excellent teacher.
I wish someone told me back in high school that all of the math courses would merge together!
Point noted!
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...!!!
In other words don't skip ur math class kids...!!!
@@EvanSerrano1988 I regularly missed my maths classes in high school did well in high school, doing pretty well at uni
Lies again? AMG OMG
Priceless quote.. “Luckily we know how to Engineer these things”👍
Wow, I love how she makes it all seem simple, a trait of an excellent teacher !
I have nothing but memories of high school calculus from 30 years ago, and here this lady is dragging me through an introduction to fluid dynamics. That is quite some feat. Excellent teacher.
she doesn't withhold knowledge
She is undoubtedly an awesome teacher.
Mathematics can be simplified so it becomes intuitive. First understand it intuitively and then solve equations.
52 minutes spent well spent. I hope to see more of your lectures on this subject. Thanks a lot
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.
it just takes practice.
@@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!
@@riggs20 if you ever wanna dive deep you should learn real analysis it's very beautiful in my opinion
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.
@@thedoublehelix5661 Real analysis is nice.
The art of teaching is to translate the gist of any complexity into a consistent story that the audience relates to.
After three more years of teaching, I still agree with my "past self" :-D
@@quantummath oh cool to hear and yeah you are absolutely correct
Thank you Dr. Gerritsen.
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.
Red bull : Am I a joke to you?
Uh, yeah, kinda.
Math gives U wings.
We really need to give credit to all this brilliant minds and make an even better use of their Habilities 😌👏🏻👏🏻👏🏻👌🏻👌🏻👌🏻
She is born to be a teacher....what a joy to watch..!
What a gem of a teacher.
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!
I am in love with numerical analysis
You are one of the best teacher I have ever seen.
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
Thank you Professor Margot!
Absolutely Superb! such an amazing explanations for complex things happening around us. Really great! !!!!!!
Nice expression of maths in the form of numerical Analysis. Good teacher makes it inviting :)
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.
mathematics
I have been taught navier Stokes' by so many teachers but this one is the best
demystified equations... learned a lot
Incredible Lecture. Revisited the basics of fluid mechanics. The last time in Kharagpur. Just got glued to it while cooking......thank you
The best of applied concepts
I like how she speaks... as a filipino it's easier to understand her than other speakers who speaks super duper fast .
speak and listen
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 :)
I'm 61; I feel the same-way.
What a teacher!
I got more clarity on some concepts. Thanks for the lecture.
Margot is worth every cent she is paid!?,😳 what competent leader... and very generous story teller👍
Thank you for putting this on CZcams!
youtube maths
Thanks a million
Crystal clear!! mathematics can be much practical for outsider wanna to know more!!!!
💯Mam's sense of humor how to antilcipate about learning with advance mathematics is combination of beauty and the beast. 💥
competent teacher
What a wonderful woman.
Congratulations from Brazil. It was an amazing lecture. This subject is underrated sometimes, but it's very interesting.
EXCELLENT CLASS
Amazing teacher!
quite clear thanks for educating in a simple way of understanding
Brilliant.
Absolutely well done and definitely keep it up!!! 👍👍👍👍👍
Its a nice class ! Thanks for the information.
yes...but if all instructors are taught like her life will be 99% easier
good explanations
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.
This is what I call "The beauty of mathematics" and yes, I am deliberately ambiguous!
horny dickheads
Respect!
Whoo! Where was this 12 years ago?!
Hell of a teacher... Wish i could had her back in the young days
You are a great Math teacher
Excellent presentation...
wings of 🔥.it talks abiut absolute absolutely
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.
i have learning english here! thank you teacher!
Absolutely Superb! I wish my school teacher explained math this way! --mathematics wouldn't have been my bug -bear !
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.
Thanks
Bravo!!!
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!
Good Job Professor, smart and beautiful Lady.
learnt a lot
At the boundary layer of a fast moving car the dust on the car will not be removed by the wind at any speed.
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.
Pretty thank you, very interesting and educational! 🙂
I am proud of me being able to figure out that she is Dutch
BEDANKT en geweldige video!
I like Stanford
Thank you Professor i am hoping to meet you once.
Indians are not allowed to meet .
@@rameshsingh2480 What?
i want her as teacer about math an im dyslexia.... she is Telling better then any teacher i ever seen
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
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
Why are you underrating talent? One can not achieve great success just doing hard work. innovative thinking comes from innate ability friend
@@vaivashwatpandey3372 Neuroplasticity would like a word with you.
It Is exiciting to knpw the details that control.
Clicked for the thumbnail. Stayed for the maf.
Happy new year😀🎉🎉
SHE IS AN EXCELLENT TEACHER
Damn, I fell in love again
Perv
@@tripp8833 He means in Love With maths
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)
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.
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!
Very good 🙏🙏🙏🙏🙏
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?
It really is true that " Maths has wings ".
In past comments to this great video have been disabled! I hope it will not happen again 😊
You are genius mam
We really study these to try to understand aviation principle better. Things like even plumbing........
I can understand her accent. It's first time for me to understand english accent of any professor.
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
boson and bosini i.e. god & goddess particle and wave transverse and logitudinal wave i.e particle (photon ) stationary and locomotion
Fine
i love her looks, voice tone and of course the content of her delivery...awesome, truly beauty with brain
Delft produces some amazing applied mathematicians :)
Until now I thought "Red Bull gives you wings"
Yeah let's recommend this 9 years later...
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.
by flight
Beatiful teacher
oh, thank you for performing promises of giving me math lectures, i didn't think you remembered those, still🌞
0:08 thanks very much, am very itchy
I wish she was my physics teacher