We had a replacement teacher for our last term of the year (as our normal teacher had a heart attack, and is taking the term off to recover). We were told that this would be on the exam the final class of the year, and then we spent all of 10 minutes rushing through the method (no explanation as to how or why it works - polynomials weren't even mentioned). This was very informative, and gave me a much better grasp on the topic, thanks.
Awesome video, I had to solve a quartic function by hand for an assignment, and I had no clue what to do because the textbook had examples only upto a quadratic. This video saved my Math C mark lmao
Loved the explanation... And I couldn't help but point out that It would be masochistic, not sadistic to take on bigger numbers and let ourselves struggle xD
Where did you learn this particular method? I always wanted to learn this in high school, but they've never showed it to me in this detail. All they showed was that there is a constant difference at some point with x^2.
Hi there! Thanks for the video! It's really great! But just curious, why does the number of times you do the 'diffetences' equivalent to the highest power needed for the polynomial to approximate the pattern? This has been bugging me all day and I can't really see a direct link between these 2.
Finite Difference is a numerical method(of approximation) for finding differential solutions. The degree of the polynomial is actually determined by the number of differences required to yield a constant. You can think of it in this way. Whenever there's a polynomial (differentiable) of degree n you differentiate it n times to get a constant and any further differentiation would give 0. So try considering every ith order difference equivalent to its ith order differentiation (had f(x) been continuous or had the method opted been non-numerical), and you'll live happily ever after. .. Or I think so. :P
@@LearnYouSomeMath no worries man u are doing great at explaining it. I just thought it's good to let people know that there is a easier way out. But other than that,it's a great video!
7years ago! OMG! Amazing. Your video is so sweet. I have purely grasped the idea ♾️
We had a replacement teacher for our last term of the year (as our normal teacher had a heart attack, and is taking the term off to recover). We were told that this would be on the exam the final class of the year, and then we spent all of 10 minutes rushing through the method (no explanation as to how or why it works - polynomials weren't even mentioned). This was very informative, and gave me a much better grasp on the topic, thanks.
Awesome video, I had to solve a quartic function by hand for an assignment, and I had no clue what to do because the textbook had examples only upto a quadratic. This video saved my Math C mark lmao
Thank you dear Brain for this video, I will be able to face my DVC during lectures.
the greatest video of all times
Thank you Sir for your help. Keep on recording more videos they are really helping.
The example at the beginning reminds me of how much fun I had playing with numbers as a kid. Good times 😊
Loved the explanation...
And I couldn't help but point out that
It would be masochistic, not sadistic to take on bigger numbers and let ourselves struggle xD
Thanks man, awesome content.
best explanation out there
Where did you learn this particular method? I always wanted to learn this in high school, but they've never showed it to me in this detail. All they showed was that there is a constant difference at some point with x^2.
Finite differences , S. Goldberg ( Dover books )
Thank you very much! I understand it now. This is a good way
You are so good.
Thank you very much
OMG! Thank you for the detailed explanation.
Perfect explanation, ty
Hi there! Thanks for the video! It's really great!
But just curious, why does the number of times you do the 'diffetences' equivalent to the highest power needed for the polynomial to approximate the pattern? This has been bugging me all day and I can't really see a direct link between these 2.
Finite Difference is a numerical method(of approximation) for finding differential solutions.
The degree of the polynomial is actually determined by the number of differences required to yield a constant.
You can think of it in this way. Whenever there's a polynomial (differentiable) of degree n you differentiate it n times to get a constant and any further differentiation would give 0. So try considering every ith order difference equivalent to its ith order differentiation (had f(x) been continuous or had the method opted been non-numerical), and you'll live happily ever after.
.. Or I think so. :P
right, there is a simiitude between finite difference equations and derivatives of functions...
this really helped. great video!
Really nice. Thank you mr. Brain Stonelake.
Great way to learn! Simply awsome!!!!
Nice video, you are a good teacher =D. Thx for the content.
THIS METHOD IS AN ABSOLUTE LIFE HACK
I think it is easier to use algebra factorial method
a=∆2÷2!
That method only works if the x coordinates of the polynomial function increase by 1 for each successive point given.
Very clear! thank you :)
Amazing video. Good to learn something new!
that's why a programmable calculator can find a function with some given points
So, the numbers in green can be anything?
I got a 0 in place of c and now the problem dosent add up
absolutely beautiful
If that final equation is given,and it is a first difference, then how can I find its function?
it will be a linear function with the constant difference being the slope of that linear function.
Life saver!!
Thank you so much
iF yOu aRe sAdiStiC aNd WaNNA DEAL WITH BIGGER NUMBERS
that is where regression and software will simplify your life !!
🙏🙏🙏🙏🙏thank you so much
thank you great work
Good for math
I don’t get this I did it by the calculator
nice voice
guy u can just do ∆3/3! to solve for a instead of wasting ur time on those long equations
yeah, I know, it's just less intuitive to throw a formula like that at people.
@@LearnYouSomeMath no worries man u are doing great at explaining it. I just thought it's good to let people know that there is a easier way out. But other than that,it's a great video!
@@YLprime yeah, totally. Thanks!
mathworld.wolfram.com/FiniteDifference.html
U good man