I like the way you explained the reason behind doing all this first and didn't just blast into how to do it like most other videos did. Very helpful. Thanks
I come to TH-cam to have stuff explained to me. Most youtubers just tell me the same stuff in my textbook that’s didn’t make sense to me. You actually get your hands dirty and explain why the textbook is saying what it is saying!!! Thank you!!!!
sir..I honestly do respect you.from my heart.I was struggling with this topic for like more than a week.and now it seems so easy in 8.45 min.AWESOME! you make things so simple.. GOD BLESS YOU thank u sir.☺
This is by far the best explanation (visual and explanatory) of Newton's Method, I found on YT. I understood in 8 mins. what a one hour class couldn't deliver. Thank you.
Very clear explanation and teaching! Excellent! Stumbled on this. I built software in the 1980's-1990's that uses this numerical technique to solve large systems of non-linear equations in very sparse matrices. The equations are grounded in fluid mechanics - energy and mass balance - to model large scale hydraulic systems. The software is still used widely by the world's pipeline utility industry to analyze the hydraulic performance of their networks. The genius behind its implementation is a Civil Engineer, Dr. Michael Stoner, a great mentor and friend. Thought its practical application in a wildly successful commercial enterprise may be of interest.
This video is great! I already knew how to use Newton's method to approximate roots of functions, but, although I understood linearization well, I didn't see where the term [F(X)/f(x)], which you clearly showed to be delta x, came from. After this great lesson, I know how to visualize, derive, and utilize Newton's Method easily. Thanks a lot!
and I truly feel respecful for newton now that I'm learning physics and mathmatics myself. how can one human be so genius that discover so many things. I want to be like him or einstine someday
Thank you so so much, I feel like I have to tahnk you so many time cus, this is the chapter I didn't understand and baffled by my book!! but now suddenly all fog has been lifted
Since, at any step along the way, you must compute the value of the function for the newest guess, then just set some specific definition for how close you must be to the actual root. Say, a solution x = a is 'acceptable' if 0 < |f(a)| < k, where k is a small positive number, eg. k = 0.00001.
There is no "standard of acceptability". The problem may ask for 2, 3, or 4 decimal places. When used in a real-life application, like in a computer program, the requirements would dictate the accuracy needed.
It sounds clever when you learn Newton's method just by watching other people explaining to you, but then it's mind boggling to think that a person (Newton) was able to come up with this approach just by thinking hard without relying on the state-of-the-art resources and technologies for mathematical computations we have today.
Newton was a very smart and hard working individual. He had a lot of opposition from his peers and the establishement, who felt threatened by him as he appeared to be smarter and more capable than them. They tried to ridicule him and downplay his discoveries. But in the end he prevailed and brought a lot of knowledge and understanding to the world.
@@MichelvanBiezen Hi Michel. Thanks for your reply. Your comment makes me want to learn more about Newton's life as well. I think you are a talented storyteller. Your math lectures are intriguing and engaging. I wonder how the stories will feel like if you tell us stories of mathematicians, their lives and interesting anecdotes. Your way of storytelling just reminded me of another great storyteller, Chris Hadfield. I recommend you the following TED talk if you haven't watched it yet. I wish you a great day today :) th-cam.com/video/Zo62S0ulqhA/w-d-xo.html&ab_channel=TED
x2 is approximate solution because our SLOPE crosses X-axis at x2, which on the graphic we can see how it is close to our root, and to get this point we should subtract from our previous approximate x1 value (which we selected randomly before), our ratio of f(x1)/f'(x1) (how we got this ratio already explained in video, it's from geometric definition of derivative). AND if we will continue this process, and will do this same iteration again and again we will get closer and closer approximate root.
Thank you for the response. Yes, I think you are right. But, I am wondering what is the main purpose of finding the roots in logistic regression? Does it have something to do with least squares?
![[ ออกกอง ] วัยหนุ่ม 2544 โลกหลังลูกกรง..ทัวร์กองถ่ายหนังใน "คุกของจริง" | JUSTดูIT.](http://i.ytimg.com/vi/vB--aOkZCpw/mqdefault.jpg)
This is the best explanation of Newton’s method on TH-cam
Yes, now my mind is getting closer and closer to understand this method.
Vaas Montenegro hahhaha..classic joke
Any mathematician is here chat with me asa a friend
03067815070
We shall tolking about mathematics
@Palpatine the limit for me DNE 😰
@@navjotsingh2251 DNE = DOUBLE NUMBER EVOLUTION
His clarity was mindblowing. I was swept away by how smoothly he went from step to step. Could this be the best math tutoring video I've ever watched?
I like the way you explained the reason behind doing all this first and didn't just blast into how to do it like most other videos did. Very helpful. Thanks
I come to TH-cam to have stuff explained to me. Most youtubers just tell me the same stuff in my textbook that’s didn’t make sense to me. You actually get your hands dirty and explain why the textbook is saying what it is saying!!! Thank you!!!!
So far, I found this video to be the only one which explains Newton's method figuratively. Brilliant! Thank you, Professor!
Figuratively???
Thank you! You explained this a thousand times better than the calculus lecture videos in my class!!
Glad it was helpful! We are glad you found our videos!
sir..I honestly do respect you.from my heart.I was struggling with this topic for like more than a week.and now it seems so easy in 8.45 min.AWESOME!
you make things so simple..
GOD BLESS YOU
thank u sir.☺
After watching about 10 videos on this subject I finally found one that actually made me understand it, cheers!
What an excellent explanation! Thanks a lot for taking your time to explain the Newton's method in such an eloquent and easy to understand way.
This is by far the best explanation (visual and explanatory) of Newton's Method, I found on YT. I understood in 8 mins. what a one hour class couldn't deliver. Thank you.
this guy is the man! love the bow tie!
⚙️♻️☕
Very clear explanation and teaching! Excellent! Stumbled on this. I built software in the 1980's-1990's that uses this numerical technique to solve large systems of non-linear equations in very sparse matrices. The equations are grounded in fluid mechanics - energy and mass balance - to model large scale hydraulic systems. The software is still used widely by the world's pipeline utility industry to analyze the hydraulic performance of their networks. The genius behind its implementation is a Civil Engineer, Dr. Michael Stoner, a great mentor and friend. Thought its practical application in a wildly successful commercial enterprise may be of interest.
This video is great! I already knew how to use Newton's method to approximate roots of functions, but, although I understood linearization well, I didn't see where the term [F(X)/f(x)], which you clearly showed to be delta x, came from. After this great lesson, I know how to visualize, derive, and utilize Newton's Method easily.
Thanks a lot!
and I truly feel respecful for newton now that I'm learning physics and mathmatics myself.
how can one human be so genius that discover so many things. I want to be like him or einstine someday
Newton was indeed a brilliant person who discovered many things and who was able to figure out many things.
Fantastic... the only video that explains from a scratch. thanks a lot.
Salute you, you are one of the best teachers. You know our level, thats why you know how to start with. Carry on!
Sir, you have been saving me for a long time, thanks a lot!
You are most welcome. Glad our videos were helpful to you.
Best presentation on Newton’s method so far! Thanks very much.
Thanks for your effort in being so clear!
Glad it was helpful! 🙂
Sir you are legendary. Because you explain things in a very simple way. Thank you 🙏🙏😃.
Glad you find our videos helpful.
@@MichelvanBiezen Grateful 🙏🙏🙏
Best explanation ever, well thanks for the excellent explanation. Ready to continue my study for the exam...:-)
Thank you for the proper explanation. Many keep skipping the important steps and making it harder to understand.
Thank you sir！ you give us so many quality ,practical and useful lectures.
Wow! Now I finally know where the formula came from. Thank you sir!
Happy to help
I have watched many videos of this lovely man! Thank you so much, sir!!!
You are welcome. Thank you for your kind comment.
You are my hero.
Very clear explanation. Well done.Keep it up.
Literally a perfect explanation. Thank you!!!
You're very welcome!
thanks for sharing! This is a very intuitive way to prove newton's formula.
With this kind of explanation its gonna be hard for me to forget the formula! Thanks!
This is gold. Thank you sir, greetings from the Philippines
Welcome to the channel!
Amazing teaching skills!!!
Thanks for the explanation. Very clear and concise.
a elegant and simple explanation. Thank you
after all this time, finally. thanks!
Very clear explanation.
Thank you very much!
Oh my god ! What a Explanation...Excellent really excellent.
What a beautiful explanation!
THANK YOU! Sir, you are an excellent teacher! Greetings from Poland :)
Welcome to the channel!
Newton was really a genius to come up with this idea. It's awesome!!!!
We agree!
Thank you so so much, I feel like I have to tahnk you so many time cus, this is the chapter I didn't understand and baffled by my book!! but now suddenly all fog has been lifted
Glad the videos were able to help you figure this concept out. 🙂
Since, at any step along the way, you must compute the value of the function for the newest guess, then just set some specific definition for how close you must be to the actual root. Say, a solution x = a is 'acceptable' if 0 < |f(a)| < k, where k is a small positive number, eg. k = 0.00001.
There is no "standard of acceptability". The problem may ask for 2, 3, or 4 decimal places. When used in a real-life application, like in a computer program, the requirements would dictate the accuracy needed.
It sounds clever when you learn Newton's method just by watching other people explaining to you, but then it's mind boggling to think that a person (Newton) was able to come up with this approach just by thinking hard without relying on the state-of-the-art resources and technologies for mathematical computations we have today.
Newton was a very smart and hard working individual. He had a lot of opposition from his peers and the establishement, who felt threatened by him as he appeared to be smarter and more capable than them. They tried to ridicule him and downplay his discoveries. But in the end he prevailed and brought a lot of knowledge and understanding to the world.
@@MichelvanBiezen Hi Michel. Thanks for your reply. Your comment makes me want to learn more about Newton's life as well. I think you are a talented storyteller. Your math lectures are intriguing and engaging. I wonder how the stories will feel like if you tell us stories of mathematicians, their lives and interesting anecdotes. Your way of storytelling just reminded me of another great storyteller, Chris Hadfield. I recommend you the following TED talk if you haven't watched it yet. I wish you a great day today :)
th-cam.com/video/Zo62S0ulqhA/w-d-xo.html&ab_channel=TED
Yes, his talks are very engaging. Thanks for sharing.
Fantastic explanation, big thanks from France 🙂
Welcome to the channel!
Very good explanation of the Newton method. Thx!
You are really gr8 sir
What a teaching vareh vah
Brilliantly explained - as always!
You saved my life, professor
We are glad the videos are helping.
As usual, this is just brilliant! Thank you.
Very good explanation Sir 👍🏻
Great teacher! Thank you for posting this video it was very helpful.
This was so helpful, thank you!!
Glad it was helpful!
Awesome teaching!!!
Thank you!
Thank you very much for excellent explanation teacher
It really helps...Very good...
thanks
So cool... I got deeper to this concept
Fantastically well explained, thank-you so much
thanks for the clear explaination
You are welcome. Glad it was helpful. 🙂
really you are awesome teacher .........
thanks! great explanation
excellent explanation!!!!!!!!!!!!!
Glad you liked it! 🙂
Wonderful, sir!
Thanks for the video. If I didn't find this, I was going to make a video of this important topic!
Thank you, professor
sir you are the best
Thank you. Glad you found our videos. 🙂
What at good teacher told me exakt what I wanted to know!
Nice explained sir
Thank you, very cleary explanation
You sir are a genius
Very good and concise lecture. I only think you could've finished it by explaining the advantages and drawbacks of this method.
amazing explanation, thank you
Could you explain why x2 is approaching the solution? and x3, x4, are getting even closer.
x2 is approximate solution because our SLOPE crosses X-axis at x2, which on the graphic we can see how it is close to our root, and to get this point we should subtract from our previous approximate x1 value (which we selected randomly before), our ratio of f(x1)/f'(x1) (how we got this ratio already explained in video, it's from geometric definition of derivative). AND if we will continue this process, and will do this same iteration again and again we will get closer and closer approximate root.
Thank you sir, this was a beautiful explanation
Very Clear, thanks...
Glad it helped
@@MichelvanBiezen Thanks
if you need to know more roots how do you choose a number that won't converge on the same root, if you don't have an image of the graph? Thank you
There are other techniques that help, such as finding the max and min points and the inflection points.
@@MichelvanBiezen Thank you
Thank you very much! This was a great lecture :)
very nice video thanks alot
awesome explanation, good job :)
very good teacher
Holy shit this is awesome
thank you Sir!!!!!! God Bless you!
Great video!
Now I get it, thank you so much.
Excellent sir!
Thank you! Cheers!
thank u, dziękuje from Poland
Welcome to the channel!
Thanks, I just have one question. For what it's important to find roots of an equation? What can we do with this information?
Usually, x-coordinates of the roots represent solutions to a variety of problems.
Great video! Kind regards from the beautiful city of Innopolis, Tatarstan, Russia! On Saturday, September 29th, 2018 :)
Excellent Sir 🙏
Many many thanks
Thank you Sir !
Great , always helps! Thanks!
What is the main purpose why we find the roots of a certain curve in logistic regression?
It is a technique that could be used in a computer program to find the roots.
Thank you for the response. Yes, I think you are right. But, I am wondering what is the main purpose of finding the roots in logistic regression? Does it have something to do with least squares?
What if a certain function (i.e. cubic function) that we are trying to approximate does not pass the x axis? Can Newton's method still be used?
a cubic function always has atleast one point where it passes the x-axis
Hatts off to you.
Wow, this is so smart!
Many thanks.
Thank you for this great video :-)
Thanks that was perfect
Thank you!
awesome! thanks so much
THANK YOU