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.
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.
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.
+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
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.
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.
2 hours of reading and a 1.25 hour class period summed up perfectly in 11 minutes
Awesome thanks
man just dropped a masterpiece of an explanation and disappeared for life
you have just saved a life *.*
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
Gerry Short said in a epic way!
take me to ireland!
lol
Accept the wisdom of the gods!
That is what I called: when someone is a genius algorithm creator and a good teacher. :)
Thanks man. :)
Clear and straight forward explanation with helpful tips. Best video for LaGrange Interpolating so far.
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.
This helped A LOT, you should be making more of that video seriously :)
Man I had 30 min to study for my exam and I found this video!! PERFECT!
Thank you for the easiest explanation. This is pure gold. I got more in 10 minutes than in the whole semester.
thanks so much for this dude! helping me even 6 years later!
Thank you, construction of Lagrange Polynoms seems so much easier with this framework.
Very clearly and carefully explained in as simple way as possible. Many thanks.
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
AWESOME!!! You are the best! Very clearly explained!! Thanks for simplifying this so well!
Very nicely done. Easy to follow and comprehend the mechanics of what is going on. Thank you
The only video on this that I could understand, thank you.
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.
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.
+Luingiorno Jasanpahaf where does he get y? where do we put x=3.8 into?
+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
+Luingiorno Jasanpahaf well, in general you plug in all the x's that dont have a subscript, just to clarify
+Luingiorno Jasanpahaf check your fb
+Luingiorno Jasanpahaf i dont get it..
Thank you so much! Greatly appreciated!!
that was truely knowledgeable, thanks for this. I liked ur way. thanks again
Thank you so much, Jian! Greetings from Brazil! :) :)
Thank you so much for this. Literally saved me!
Bro thank you, I have a test today, this is gonna help me
cant thank you enough for making it so simple!
Awesome video! I don't see any others though.. please add more? It was extremely helpful!
Hey, Thanks for your great video. I was wondering if you have any other videos about Numerical Method?
Saved a Life! You are a legend
brother u did a great for all students like me , its very helpful
u cleared my concept , thank you so much , keep it up
You should make more videos, great!!!
Thanks man, I hope your channel will have more videos about Numerical Method
Great video and clear exemples, thanks!
Your videos are really helpful, keep it up!
Well done!! Many thanks!!
such an awesome work.....amazing dude !!
is that a lightsaber on the profile picture
Thank you so much, you helped me explain this for my IA.
Very wonderful explanation sir!!
wow! awesome, Thank you for the easiest explanation.
Thanks a lot! Couldn't find any info this explanatory in Spanish
Finally understand this!! Thank you!
This is very well explained, thank you very much!
Helped me a lot. Thank you!
Very clear. Thank you!!!
thanks a lot! you did an exellent job and really helped me out.
You are a God among mortals.
Very nice and helpful! Which is more accurate, Vandermonde polynomials or Lagrange polynomials?
Great video, thanks so much!
Really helpful video, everything nicely explained.
Thank you sir, now i can easily do my homework ❤
Thank you! Jian you have explained nicely
Thank you! It´s a very clear explanation.
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?
Thank you! My teacher only showed the formula.
Thanks, simple and easy to understand! :)
This helped me a lot. Thanks.
great video! Thank you.
Thanks for posting this.
mi sono salvato video perfetto l'unico che si capisce in tutta youtube
you saved me man, thank you so much
thanks ALOT this saved me alot of time.
Thanks bro. This you've saved me
Best video ever!!
Thanks. How can I apply Lagrange interpolation for two independent variables. i.e., (x1,x2,y).
Thank you very much!
Thanks for the help!
Heeey, will this work with (1;8), (2;4) and (3:7)?
so helpful! thank you
Great help, thanks so much
Thank you so much شكرا لك كثيرا
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.
hey chang,keep up good work.
you have saved another life
hope that you can make a video about neville's method
Thaaaaanks a lot bro. You saved the day
thank you so much , perfectly explained you helped me a lot
Bro uploads one video to save my life and go away
this was very helpful - thank you
u the man bro damnnnnn nice explanation
Why did you skip lagrange 0? And did l1, l2, l3? I do not understand that part.
He just used different notation. His L1 is same as your L0.
How can i obtain the column of y if someone could help, i would be so happy
1/0
Sigma L1k (x) where L one k (x). K=1
K=1
Langrage polynomial fundamental give u any suggestion of this problems
Good job SIR...thnx a lot
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.
thanks mr chang!
THANK YOU.
Thank you
awesome. Thank you .
Cheers! Good video
you are my herooo!
Awesome thanks
nice explained...
Thank you so.... much
Thanks so much!!!!!!!!!!!!!!!!!!!!!!!
apne best vy
Obrigado! Very good!
Thanks!
how to save this formula or law it's confusing for me any proof or understand method
Thanks a lot..
you are the best, make more video please