Hope you enjoyed the video, let us know if it helped down below in the comments! Interest in learning the Newton Interpolating Polynomial? Follow this link: ruclips.net/video/hcsBjizQ9X8/видео.html
I understand it for the first go. At my school for some reason didn't know at all.. we got too many formulas and theory. I like the most simple method and demonstation. Thank you for the vid
Great, thanks for sharing! We felt the same as you when we learned it at university and wanted to put it in more of a reasonable format rather than extremely confusing formulas and theory. Glad you enjoyed the video!
hello, thank you, it's clear presentation, but I have question regarding the result, f(2) = -10.2, your range [-2,8] and domain [-2,4], how come f(2) beyond the range? calculation mistake?
Edit (Original replay at bottom): It actually makes sense if you think about it. A standard polynomial, for example y=(x-2)(x-3) is rewritten as y=x²-5x+6. It has an exponent of 2, which graphs as a parabola. For every additional x value we include in the polynomial, the exponent increases. The graph of a 3rd degree polynomial follows an S shape. A fourth degree polynomial returns to a parabola shape, and so on. Therefore it stands to reason that the graph of an equation with an increasing number of data sets must follow this back and forth pattern. If you graph the given data points from the video and attempt to draw a curve through all of the points without making the curve change direction between two points, the curve must extend down at x=0 before turning back upward to reach 8 at x=4 Original: I was wondering that too, but a quick calculation seems to confirm that he did it correctly
Thanks bud appreciate the positive feedback. Check out matlabs explanation of lagrange polynomials here ( mathworld.wolfram.com/LagrangeInterpolatingPolynomial.html ), but essentially were finding a polynomial of degree n-1. As we increase the number data points, were increasing the degree of the polynomial. I'm not a mathematician though, check the link for a more in depth explanation!
greetings form greece!! It's a great video , congrats but i have a question. If you have more than 4 xi and you want L3(x) ,which xi are you going to take to make it (with minimum error of course)
welcome to the channel, thanks for your feedback! im not quite sure i understand your question, are you asking if you have more (or less data points), how are we going form our function for our curve? youd repeat exactly the same steps as we did here, except youd just have more or less terms depending on how many points you have. i hope that helps!
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Hope you enjoyed the video, let us know if it helped down below in the comments!
Interest in learning the Newton Interpolating Polynomial? Follow this link: ruclips.net/video/hcsBjizQ9X8/видео.html
Yes I enjoyed it thank you
Very helpful.
what if the value of x is not given in the equation
I didn't understand it
after this video you have made me look stupid lol 😂 😂
watching ur vids during my third year of engineering ur bless
You are a genius .
Btw My exam starts in 1 hour.
Haha thanks!
Hope it goes well!
did you pass the exam ?
Good luck Ur gonna need it, 😆😆😆
I understand it for the first go. At my school for some reason didn't know at all.. we got too many formulas and theory. I like the most simple method and demonstation. Thank you for the vid
Great, thanks for sharing! We felt the same as you when we learned it at university and wanted to put it in more of a reasonable format rather than extremely confusing formulas and theory. Glad you enjoyed the video!
You are by FAR the best , even million times better than my "Professor Engineer Scientist Doctor" teacher
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MrArcticaaa thanks again, glad to see you're enjoying the channel!
Oh my gosh!!! This made it so much simpler. Thank you.
Always glad to hear feedback like this, making overly complicated subjects more simple is our goal here! Thanks!
This had helped so much! I was really struggling with this concept and you made it so easy!! Thank you
Wow, this is so much easier than how I learned it in class! Thank you!!
Wow, thank you, now the formula seems SOOOO much clearer!
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Thanks man
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I tried to study this method for more than an hour and didn't get it and you just explained it in 8 mins ty so much
This is the most helpful yt video I’ve ever seen
my professor is terrible at explaining this stuff, but i finally understand it now. thank you so much!
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Thanks bro,,, came just to get a brief idea of this before heading to class...
Genius and also saved my butt from the dreaded pre-finals "this will determine half your score" homework
Absolutely insane. Saved my life in 5 mins
the video is 8 minutes
am seeing posted 5yrs ago,but bless you bro this was so helpful ❤
Thank you . You are the best . I am preparing for the exam . After watching Video i know what i have to do .
you are a life savior
Thank u so much! I was so stressed by notation teacher gave
man that formula mustve been one of the most confusing things ive had to learn in school. thanks
You sir, are a hero. I am miserable at maths but this video made Lagrange interpolation look like a piece of cake.
subscribed!
Thanks bud! Anyone can be good at math with enough practice, keep at it!
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Great job explaining! I found this super helpful as I found using the formulas given was slightly confusing.
For sure, that's why we thought to make this video! Glad it helped!
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Stephanie Stampher haha excellent, that's what our channel is for! good luck!
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Glad we could help!
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Thank you for positive feedback glad you enjoyed the video!
thank you. so many videos over complicate this. just trying to pass my engineering exam so i can build airplanes not trying to learn math and stuff
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U made it really easy . Thank u😊
Amazing 👍 Thank you 🙌
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Thanks!
hello, thank you, it's clear presentation, but I have question regarding the result, f(2) = -10.2, your range [-2,8] and domain [-2,4], how come f(2) beyond the range? calculation mistake?
Edit (Original replay at bottom):
It actually makes sense if you think about it.
A standard polynomial, for example y=(x-2)(x-3) is rewritten as y=x²-5x+6. It has an exponent of 2, which graphs as a parabola. For every additional x value we include in the polynomial, the exponent increases.
The graph of a 3rd degree polynomial follows an S shape. A fourth degree polynomial returns to a parabola shape, and so on.
Therefore it stands to reason that the graph of an equation with an increasing number of data sets must follow this back and forth pattern.
If you graph the given data points from the video and attempt to draw a curve through all of the points without making the curve change direction between two points, the curve must extend down at x=0 before turning back upward to reach 8 at x=4
Original: I was wondering that too, but a quick calculation seems to confirm that he did it correctly
@@MBearr1221-- No, a fourth degree polynomial does not return to a parabolic shape.
Wow best expression ever thank you sir
Hey, Great video . does this apply when they are asking for ..lets say, 1st order through 3rd order?
Thanks bud appreciate the positive feedback. Check out matlabs explanation of lagrange polynomials here ( mathworld.wolfram.com/LagrangeInterpolatingPolynomial.html ), but essentially were finding a polynomial of degree n-1. As we increase the number data points, were increasing the degree of the polynomial. I'm not a mathematician though, check the link for a more in depth explanation!
Thank you very much sir. Very helpful!
The most simplest videos give the best answer
-someone
Thank you!
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Great video,thanks.
Thank you so much!
you gotta teach our teachers they just like to complicate easy stuffs thanks a bunch
What a guy! Thanks!
Are you sure the final answer is correct? It seems too deep in the negative when you compare it to the original dataset.
Thankksss man this was super useful ;)
Thank you so much ❤
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Thank you very much
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This was very helpful.
Iktisad Rashid great, thanks!
only one word "BLESS"
What do you when you have a missing interval?
Thank you! the real mvp
Sir , Is there still a faster way to do this ?? What if they gave 10 terms like this , i can't possibly calculate all under 30 mins I guess .
greetings form greece!! It's a great video , congrats but i have a question. If you have more than 4 xi and you want L3(x) ,which xi are you going to take to make it (with minimum error of course)
welcome to the channel, thanks for your feedback! im not quite sure i understand your question, are you asking if you have more (or less data points), how are we going form our function for our curve? youd repeat exactly the same steps as we did here, except youd just have more or less terms depending on how many points you have. i hope that helps!
THANK YOU!
you are the best really simple unlike all those fucking examples and formulas in my notes
Thank you! You r my saviour hahaha
omg thank you soo simple subscribed
Awesome glad we could help!