logistic growth 2
8:46
Жыл бұрын
Functions
20:23
Жыл бұрын
Newton Abraham Lecture
1:09:50
4 жыл бұрын
4.8 Epidemiology 8 30 2019
27:23
4 жыл бұрын
4.7 Modeling Chemical Reactions
23:34
4.9  Immune Dynamics 8 30 2019
16:21
4 жыл бұрын
19.4  Dripping Faucet 8 14 2019
18:25
4 жыл бұрын
19.5  Stretching and Folding
17:47
4 жыл бұрын
20.1  Chaos and Cardiac Arrhythmias
17:31
20.3  Ventricular Fibrillation
9:08
4 жыл бұрын
17.1 Discrete Time Dynamical Systems
20:53
18.2  Diagnosing Randomness
12:17
4 жыл бұрын
17.2  Discrete Time Logistic Model
14:13
15.1  Holling Tanner Model
16:12
4 жыл бұрын
16.3 Chaos in the Food Chain Model
18:18
Пікірлер
@Nikki-4-President
@Nikki-4-President 6 күн бұрын
I have no doubt that Euler is one among the gods in heaven as he keeps blessing us until this day.
@mesaplayer9636
@mesaplayer9636 6 күн бұрын
17:33 unless the punch not being perpendicular is important to the explination. Which I feel like its not because the leaking faucet does have this sort of issue with a different angle punch it more so has to do with it still returning to the same state not that the faucet is "pushing" at a different angle. I feel a better way to explain it would have been a surface on a spring that is always punched in the same direction if you punch and let it return and then punch and let it return the system oscillates steadily. But if you punch it while it is on its way back, you create weird oscillation. no difference in angle of punches.
@user-ho8jz9ue7n
@user-ho8jz9ue7n 21 күн бұрын
WOW!!!...Amazing
@user-ho8jz9ue7n
@user-ho8jz9ue7n 21 күн бұрын
I have seen lot of videos of professionals, but this one is at another level. Huge information with an easy and clear way... Thank you Professor
@willadem8643
@willadem8643 25 күн бұрын
It's almost criminal that I've been losing my mind for past week trying to start somewhere with these topics while KZbin would constantly recommend the same bloody KZbin videos that don't know how to explain anything and not recommend me your channel:') Great work. :))
@uclamodelingclass3003
@uclamodelingclass3003 24 күн бұрын
hey, thanks,!!!
@davidbuckley3628
@davidbuckley3628 Ай бұрын
What an excellent lecturer you are. Thank you for sharing your talent of making the complex understandable.
@uclamodelingclass3003
@uclamodelingclass3003 Ай бұрын
thank you so much!
@user-ve2co2ew6w
@user-ve2co2ew6w 2 ай бұрын
the scene in the movie about Glenn and Garfinkel's description don't match -- in the movie the computer tech results were off and Katherine corrected them.
@lonwabomfuntana6108
@lonwabomfuntana6108 3 ай бұрын
baie dankie professor!
@AliceKMay
@AliceKMay 3 ай бұрын
What a beautiful explanation. Thank you Prof.
@Idk-mc2dd
@Idk-mc2dd 4 ай бұрын
THANKS ALOT
@tvlivingroom458
@tvlivingroom458 4 ай бұрын
4:40 Shouldn't the change vector end at (25, -15)? I'm confused by the correction.
@uclamodelingclass3003
@uclamodelingclass3003 3 ай бұрын
so sorry, yes it should. little brain freeze there on my part
@user-oj4xe2sp7x
@user-oj4xe2sp7x 4 ай бұрын
does he still teach at ucla?
@-.SkyArt.-
@-.SkyArt.- 4 ай бұрын
After scavenging KZbin for anyone who was able to dumb-down Euler’s method for me to understand, I have finally found it. Thank you!
@uclamodelingclass3003
@uclamodelingclass3003 4 ай бұрын
hah hah, that's a huge compliment! thanks!
@maxiellevillegas1388
@maxiellevillegas1388 5 ай бұрын
You just won't be able to understand how this video speaks to an engineer.. Unless you have the background.. Salute from the Philippines!!!
@uclamodelingclass3003
@uclamodelingclass3003 4 ай бұрын
thanks so much!!
@1cleandude
@1cleandude 6 ай бұрын
Who’s Raylay? Isn’t it Raalee? Like the tobacco! Great lecture!🙏
@coobit
@coobit 7 ай бұрын
Thanks for the actual referenc to the article of the original author of this model. Nice explanations as usual.
@uclamodelingclass3003
@uclamodelingclass3003 7 ай бұрын
you're very welcome!
@coobit
@coobit 7 ай бұрын
Thank you for the lectures. I like the way you teach. The flow of information is pretty frictionless :)
@uclamodelingclass3003
@uclamodelingclass3003 7 ай бұрын
You're very welcome!
@eugenebriones7200
@eugenebriones7200 7 ай бұрын
How do we know that k is exactly the probability that a successful reaction occurs?
@jurgenblick5491
@jurgenblick5491 8 ай бұрын
Is it just algorithm
@musclesmouse
@musclesmouse 8 ай бұрын
Crazy, we were doing some of these trajectories in HS. I didnt know people did all this for a living.
@ruzailic7254
@ruzailic7254 9 ай бұрын
Excellent..enjoyed so much listening ...
@uclamodelingclass3003
@uclamodelingclass3003 7 ай бұрын
Many thanks
@pnachtwey
@pnachtwey 9 ай бұрын
So why use Euler's method? There is an improved version that is much better and then there is Runge-Kutta that is better yet. Runge-Kutta requires about 40% of the evaluations to get the same accuracy. Runge-Kutta has been known since the early 1900s. RK45 is better yet.
@uclamodelingclass3003
@uclamodelingclass3003 7 ай бұрын
The whole "Euler's method" scene was the screenwriters invention. RK4 was well-known. I like the fiction because using numerical methods instead of going searching for analytic formulas is the key to applied differential equations, which is what I do
@pnachtwey
@pnachtwey 9 ай бұрын
Thee is Euler's method, improved Euler's method but I would have used Runge-Kutta. It was known back then. It is easy to get RK4 to work on a computer. The problem with using a lot of small steps is that round off error accumulates. So I wonder what was the precision of the computers they had back then and did it even have floating point? Probably not so the floating point was probably programmed in a custom way so it would have enough precision.
@uclamodelingclass3003
@uclamodelingclass3003 3 ай бұрын
I have to confess that I know absolutely nothing about the actual history of those computations. I doubt that there was a specific aha moment when Johnson exclaimed "Euler's method". They were probably doing RK4 in real life. But the Hollywood story is wonderful, isn't it?
@sandilemasuku2240
@sandilemasuku2240 9 ай бұрын
I wish this man was my mentor he reveals this that are not easy to find and talk about concepts, applications modelling, i wish i have meet this man in my life, who knows maybe i could have influenced the world with innovations or worked for cia or ussr
@gordonharper9126
@gordonharper9126 9 ай бұрын
Are you writing backwards?
@uclamodelingclass3003
@uclamodelingclass3003 7 ай бұрын
no, it was flipped in post-production
@sharonsolana
@sharonsolana 9 ай бұрын
Very good explanation, thank you Professor.
@mikerottier7131
@mikerottier7131 9 ай бұрын
How did the Russians do it ?
@sandilemasuku2240
@sandilemasuku2240 9 ай бұрын
Remember how dunes chang due to the wind thats how the russian did it
@grav01
@grav01 9 ай бұрын
How did the Soviets solve the same problem?
@sandilemasuku2240
@sandilemasuku2240 9 ай бұрын
Remember how dunes change in time due to win
@CCoburn3
@CCoburn3 9 ай бұрын
I remember back then, they always talked about "launch windows." That's what she calculated.
@jimparsons6803
@jimparsons6803 9 ай бұрын
My thanks for the detailed explanation, that looks remarkably like an Archimedes Spiral. I was under the impression that the actual flight path looked more like a figure 8, if you considered the flight out and back You can do such a Spiral, but the propulsion type is more useful in terms of long-term low thrust like an ion drive. For those that are interested; see the Kindle/Amazon book, 'Traveling Through Space Without Rockets --- The Shorter Version,' by Jim Parsons, for the full progression of the cumulative ideas and techniques, see the longer book by a similar name by James G. Parsons. Ain't math elegant?
@RocketRay
@RocketRay 9 ай бұрын
Wow. At ~6:00 he's talking about my mom. She calculated ballistic trajectories at Aberdeen Proving Ground in Maryland during WWII.
@chadwickBU
@chadwickBU 10 ай бұрын
Unfortunately the VF as portrayed in the blue heart model as correlated with the ECG is nothing like a real VF contraction and Excitation - Contraction sequence. Perhaps its a graphics thing , not a math thing but this needs input from real life experience. Theoretically the input variables H+ K+ Na+ Ca++ change dramatically over short times due to myocardial ischemia. Doubt that this modeling can capture that state.
@uclamodelingclass3003
@uclamodelingclass3003 10 ай бұрын
absolutely correct that this is a limited exercise, in that there is no contraction at all in this model, let alone E-C coupling. And it is also correct to point out that the model has no degradation of ion concentrations over time, which would of course happen in real VF. So this is a highly idealized example.
@amirasraf0001
@amirasraf0001 10 ай бұрын
Pure gold content. Keep it up 😊
@uclamodelingclass3003
@uclamodelingclass3003 10 ай бұрын
Thank you! Will do!
@christophervillanti1417
@christophervillanti1417 10 ай бұрын
It's been 50 years since I took calculus, this was clearer than any lecture that I've heard on the subject.
@uclamodelingclass3003
@uclamodelingclass3003 10 ай бұрын
thanks!!
@joeprieto5063
@joeprieto5063 10 ай бұрын
Truly masterful
@uclamodelingclass3003
@uclamodelingclass3003 10 ай бұрын
thank you so much!
@3dbadboy1
@3dbadboy1 10 ай бұрын
With all those numbers, isn't it a Riemann sum?
@Listener970
@Listener970 10 ай бұрын
They are so brilliant.
@woutzweers
@woutzweers 10 ай бұрын
Great video.
@uclamodelingclass3003
@uclamodelingclass3003 10 ай бұрын
Thanks!
@GenericMedusa99
@GenericMedusa99 10 ай бұрын
6:48 can i ask why 50 000 times? or was it like a best estimate at that time to do it 50 000 times.
@uclamodelingclass3003
@uclamodelingclass3003 10 ай бұрын
sorry, that's a number I completely made up out of my head to mean "many many times"
@hornetscales8274
@hornetscales8274 10 ай бұрын
Haven't had my mind blown on math (concepts: I'm not trying to UNDERSTAND this stuff, I'll just catch the edge) since looking into the basic math of Alternating Current. Had an excellent math teacher (several, really) but even if they couldn't teach me to do all, they at least taught me to appreciate the application. I could probably learn now, 20+ years out of school, but I'll just take things slow.....
@gyrsriddle
@gyrsriddle 10 ай бұрын
Don’t know why I clicked on this, I barely passed algebra 1.
@natteraksadawan4772
@natteraksadawan4772 10 ай бұрын
Thank you, this is what I am looking for !!!! Splendid!!!
@isazisempi3896
@isazisempi3896 10 ай бұрын
Scene wasn't that dramatic. It's just explaining how the different mathematical concepts were joined together using eulers method.
@markoj3512
@markoj3512 10 ай бұрын
Which Euler formula they used? I mean which order? 1st order, 2nd order etc… Or the symplectic integrator
@andrewhawkins8616
@andrewhawkins8616 11 ай бұрын
R on T
@scottparkyn795
@scottparkyn795 Жыл бұрын
Katherine was an amazing woman and and human being
@imho2278
@imho2278 Жыл бұрын
Well that tells us nothing about Euler's method.
@markojotic
@markojotic Жыл бұрын
I'm curious, the Soviets must have done those calculations first, do we know who their mathematicians were?
@brendawilliams8062
@brendawilliams8062 Жыл бұрын
✔️
@SafeTrucking
@SafeTrucking Жыл бұрын
I'm wondering why they wouldn't use splines?