Lagrange Interpolating Polynomials

This video describes how to create LaGrange Interpolating Polynomials.

[@full-metal_jacob5858]

2 hours of reading and a 1.25 hour class period summed up perfectly in 11 minutes Awesome thanks

[@a7med-ess4m]

man just dropped a masterpiece of an explanation and disappeared for life

[@abk-312]

you have just saved a life *.*

[@UEDDarthVader]

That is what I called: when someone is a genius algorithm creator and a good teacher. :) Thanks man. :)

[@gerryshort1426]

well done jian an irish student says thank you praise the almighty that good guys like you exist to aid the mere mortals like us

[@_rahulsharma_]

Gerry Short said in a epic way!

[@beratcelik287]

take me to ireland!

[@dollar9643]

lol

[@MatheusSilva-dragon]

Accept the wisdom of the gods!

[@CNsongs]

Wow what a co-incident. I happen to be a UMBC student who is taking this class now. I was looking for a video to understand this concept. Great video man. Thanks.

[@DenieceNg]

Clear and straight forward explanation with helpful tips. Best video for LaGrange Interpolating so far.

[@cadu3dVideos]

Man I had 30 min to study for my exam and I found this video!! PERFECT!

[@piupolino2618]

Great video bro. Python teacher straight up just gave us the formula at the start with the giant pi addition symbol and expected us to get it

[@user-jy9ro6qn2b]

Thank you for the easiest explanation. This is pure gold. I got more in 10 minutes than in the whole semester.

[@nadadoux6662]

This helped A LOT, you should be making more of that video seriously :)

[@bensmith3384]

thanks so much for this dude! helping me even 6 years later!

[@1337H0E]

Thank you, construction of Lagrange Polynoms seems so much easier with this framework.

[@dutta.alankar]

Very clearly and carefully explained in as simple way as possible. Many thanks.

[@747-pilot]

AWESOME!!! You are the best! Very clearly explained!! Thanks for simplifying this so well!

[@jamesbergeron1584]

Very nicely done. Easy to follow and comprehend the mechanics of what is going on. Thank you

[@inteusproductions]

Sorry, I missed the part where you explained what these thing actually are and how they work: For people still struggling, we build this interpolating polynomial such that if you put in x_1 you get y_1 etc, which means we have to make the Lagrange term for y_1 = 1 at x_1 and also that the other Lagrange terms are all zero: like so: f(x) = L_1(x)y_1 + L_2(x)y_2 + … f(x_1) = L_1(x_1) * y_1 = y_1 L_2, L_3, ... , L_n all zero.

[@kehi19]

Bro thank you, I have a test today, this is gonna help me

[@fatmanurmolla5573]

You should make more videos, great!!!

[@nuadathesilverhand3563]

The only video on this that I could understand, thank you.

[@deepakbriglall5845]

Thank you so much for this. Literally saved me!

[@mohammadkhalid7610]

brother u did a great for all students like me , its very helpful u cleared my concept , thank you so much , keep it up

[@dramoyoedward9229]

Very wonderful explanation sir!!

[@onursalihgumus6510]

Thanks man, I hope your channel will have more videos about Numerical Method

[@talhamunir5466]

cant thank you enough for making it so simple!

[@KidUnicefalo]

Thank you so much, Jian! Greetings from Brazil! :) :)

[@jasanpahaf]

Reading my book I couldn't make sense of the J =\ 1 but I guess as long as I derive it the way you did, no need to break my head for the midterm. Thank you So much.

[@MrPetisebok]

+Luingiorno Jasanpahaf where does he get y? where do we put x=3.8 into?

[@jasanpahaf]

+muhammad nurharith in the final form theres a bunch of x's. some have subscripts but the ones on top left you will notice theres no subscript. Thats were you plug the x-value of interest, in this case 3.8

[@jasanpahaf]

+Luingiorno Jasanpahaf well, in general you plug in all the x's that dont have a subscript, just to clarify

[@MrPetisebok]

+Luingiorno Jasanpahaf check your fb

[@MrPetisebok]

+Luingiorno Jasanpahaf i dont get it..

[@paulgakhal2758]

Your videos are really helpful, keep it up!

[@melaniemolifie2534]

Awesome video! I don't see any others though.. please add more? It was extremely helpful!

[@JasonPoh89]

Thank you so much! Greatly appreciated!!

[@gpenet3926]

wow! awesome, Thank you for the easiest explanation.

[@khucchanhminh9509]

Thank you sir, now i can easily do my homework ❤

[@sachinkumarprajapati]

that was truely knowledgeable, thanks for this. I liked ur way. thanks again

[@nilufargh]

Hey, Thanks for your great video. I was wondering if you have any other videos about Numerical Method?

[@matitiudeforever8155]

such an awesome work.....amazing dude !!

[@kirariterada972]

Thank you so much, you helped me explain this for my IA.

[@akshayyadav4022]

Really helpful video, everything nicely explained.

[@JustAnotherFeederJungler]

Thanks a lot! Couldn't find any info this explanatory in Spanish

[@FLTxxdxx]

Great video and clear exemples, thanks!

[@victortodoran1828]

You are a God among mortals.

[@amirkiani2277]

Well done!! Many thanks!!

[@MatheusSilva-dragon]

Thank you! My teacher only showed the formula.

[@RUBIKMIND97]

mi sono salvato video perfetto l'unico che si capisce in tutta youtube

[@NdamuleloTshililoTshikwela]

is that a lightsaber on the profile picture

[@saminator5playsmc32]

This is very well explained, thank you very much!

[@jonathanlam7204]

Thanks, simple and easy to understand! :)

[@poppyblop484]

you have saved another life

[@Schizophrenic176]

hey chang,keep up good work.

[@MrLogitech789]

Helped me a lot. Thank you!

[@samsonmzera]

thanks ALOT this saved me alot of time.

[@KateOB93]

Finally understand this!! Thank you!

[@ThePilot3332]

thanks a lot! you did an exellent job and really helped me out.

[@mohammadiqbalbinmohddarasa1638]

Thanks bro. This you've saved me

[@phoenixbilzerian9523]

Saved a Life! You are a legend

[@mariaceciliaargibay88]

Thank you! It´s a very clear explanation.

[@juustgowithit]

Great video, thanks so much!

[@kpmaynard]

Very clear. Thank you!!!

[@abdul-kareem4429]

This helped me a lot. Thanks.

[@Arjunsharma-or4zy]

Thank you! Jian you have explained nicely

[@tuinderdome]

Thank you very much!

[@AJ-et3vf]

Very nice and helpful! Which is more accurate, Vandermonde polynomials or Lagrange polynomials?

[@Nyashiem]

so helpful! thank you

[@heelvander8136]

thank you so much , perfectly explained you helped me a lot

[@jisancy5423]

Bro uploads one video to save my life and go away

[@muhammadsheharyar999]

Thaaaaanks a lot bro. You saved the day

[@allend433]

Thanks for posting this.

[@seetalpatel15]

this was very helpful - thank you

[@pnachtwey]

I wonder how Lagrange came up with this? The problem is not done until the coefficients for each power of x are simplified. Sometimes I just solve for 4 equations for four coefficients of a 3rd order polynomial.

[@malakh731]

you saved me man, thank you so much

[@ICE_Wa7er]

Hello, how did you get the estimated value of Y?

[@jasondias5817]

Best video ever!!

[@CharlAndSal]

Great help, thanks so much

[@BenjaminCarmona]

yeah this was pretty serious, thanks a lot

[@juances526]

Thanks for the help!

[@vodorigagargoyle1640]

thanks mr chang!

[@kunalk4299]

1/0 Sigma L1k (x) where L one k (x). K=1 K=1 Langrage polynomial fundamental give u any suggestion of this problems

[@archanghosh7607]

u the man bro damnnnnn nice explanation

[@nihalhamid9280]

might just pass that final

[@TeslaArabic]

Thank you so much شكرا لك كثيرا

[@user-qh1nh3ty7k]

Good job SIR...thnx a lot

[@srinivasanbalan2469]

Thanks. How can I apply Lagrange interpolation for two independent variables. i.e., (x1,x2,y).

[@nikkaa22]

thank you this was helpful

[@MrPetisebok]

+nikkaa22 where does he get y? where do we put x=3.8 into?

[@nikkaa22]

+muhammad nurharith y is just f(x) and he puts x=3.8 for every x in that long expression at 6:42

[@wafirazmi]

hope that you can make a video about neville's method

[@markgrunder1080]

we doesnt f(x_i) solve the equation f(x_i)=y_i? at 10.44 for example? did u switch the corresponding y_i willingly?

[@xinduan424]

thx，and u could change the position of ur lamp

[@luvlyadaku]

you are the best, make more video please

[@josephigot7998]

THANK YOU.

[@rayedalwafi8580]

you are my herooo!

[@kevinkurani93]

Why did you skip lagrange 0? And did l1, l2, l3? I do not understand that part.

[@abdul-kareem4429]

He just used different notation. His L1 is same as your L0.

[@hlulanisibanda3901]

Thank you so.... much

[@cioararaul3013]

How can i obtain the column of y if someone could help, i would be so happy

[@yolandasithole5072]

Thank you

[@junakkibria6380]

finally a right handed!

[@alexmates614]

can u please make more videos related to maths.

[@jumaelahmed9995]

Awesome thanks

[@judesutcliffe8686]

Cheers! Good video

[@LionKILLGER]

nice video, well explained! I got one question: What about lagrange interpolation with modulo? I currently have to solve a task and I need to know this. For example: x: 4 1 2 y: 6 9 4 mod: 479 -> f(x) = 2x^2 + 468x^1 + 18 with the video solution i get f(x) = 2x^2 - 11x^1 + 18 Can anyone help? Thanks.

[@veeleshbeegun5833]

awesome. Thank you .

[@elbadry8476]

how to save this formula or law it's confusing for me any proof or understand method

[@EngenheiroEletricHyanGontijo]

Obrigado! Very good!