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!
I really enjoyed the video I have been thinking how to assimilate the formular but with your explanation I should be able to solve the question with out memorizing formulars thank you once again
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, glad you enjoyed it! Professors at university/college kind of have to teach the theory behind these concepts and they sometimes neglect how to easily solve the problems..that's where we come in haha! Thanks for the comment.
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!
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
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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!
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MrArcticaaa thanks again, glad to see you're enjoying the channel!
This had helped so much! I was really struggling with this concept and you made it so easy!! Thank you
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!
Wow, this is so much easier than how I learned it in class! Thank you!!
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Wow, thank you, now the formula seems SOOOO much clearer!
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my professor is terrible at explaining this stuff, but i finally understand it now. thank you so much!
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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I really enjoyed the video I have been thinking how to assimilate the formular but with your explanation I should be able to solve the question with out memorizing formulars
thank you once again
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Genius and also saved my butt from the dreaded pre-finals "this will determine half your score" homework
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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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Thank you for positive feedback glad you enjoyed the video!
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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.
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Great video,thanks.
Thanks man really helpful video. I wish my instructor had explained stuff in that simple way.
Thanks, glad you enjoyed it! Professors at university/college kind of have to teach the theory behind these concepts and they sometimes neglect how to easily solve the problems..that's where we come in haha! Thanks for the comment.
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!
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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 🌝
Thank you!