There are some teachers that show you how smart they are. And there are teachers the teach you how to solve. You are the perfect example the latter one.

@PrimeNewtons

2 ай бұрын

Thank you! Wish I deserve such magnanimity!

@donpedro00769

2 ай бұрын

​@PrimeNewtons outside of gta 5, i've never seen anyone use the word magnanimous (or magnanimity) lol. Jokes aside, you deserve a lot more subs

You are cool. My dad was a math and science teacher for over 40 years (a great benefit for me). He instilled in me a love of math. I'm glad I found your channel. It's time to reclaim my lost working years now that I'm retired.

@alexanxerrosenfeld3793

6 ай бұрын

Ценный Й😅😮😮😮1

@republicofvegans712

5 ай бұрын

I am the one who integrates

@billiboi122

5 ай бұрын

Thank you walter white

@user-qp1jh5vm8m

5 ай бұрын

What percentage of our genetics has to doe with medical health ?

@tabibhassan3376

5 ай бұрын

I thought your dad was a chemistry teacher

First semester of Mech Engineering, a professor gave us a task to solve an equation to find the ideal chord length for an airplane wing. He didn't tell us the equation was unsolvable via elementary functions, essentially the point was having students crack heads at it until figuring out they couldn't solve it analytically and needed to use some numerical method, a valuable lesson going into engineering. Instead I did some research online and found the Lambert W function and managed to solve the equation with it. I'm not sure if he was impressed or mad that I avoided the main point of the exercise, but I did get a 10.

@raghavkumarsingh4222

5 ай бұрын

May I know from which institute u are doing Mech Engg because Iam too in 1st sem ME ...from INDIA

@thethievingmonkey

5 ай бұрын

@@raghavkumarsingh4222 Oh, this was like 10 years ago. I've since graduated, got a Master's, etc. I did my Bachelor's at a federal university in Brazil. Good luck on your studies, I've had quite a few colleagues and friends from India when doing my Master's, great people.

@CST1992

2 ай бұрын

Out of 100? Because every professor I know is going to go: "Hey, this guy is not supposed to know the Lambert W!"

@user-hk9du6px9x

Ай бұрын

10 out of 1000?

@user-hk9du6px9x

Ай бұрын

I used this at Lambda Lambda Lambda

The best thing is I learn Math from your videos without getting bored. Thats a mark of a great teacher.

@PrimeNewtons

5 ай бұрын

Glad you think so!

@rutamupadhye1828

5 ай бұрын

You could also differentiate the eq and find it ig

@dank.

3 ай бұрын

​@rutamupadhye1828 this doesn't work. I first tried it on desmos and quickly realized that there are no solutions just differentiating both sides. A quick search on math stack exchange tells me that this is because to be able to differentiate both sides, both sides have to be functions, and not just this equivalence that we have here. If we do so we can clearly see that for f(x)=2^x+x and g(x)=5, f(x) is not equal to g(x) for all x. We can still use differentiation to solve this problem though, as we can find an approximation as accurate as we're willing to calculate with Newton's method (heh, that's the name of the channel). To apply it, we can define a function, f(x)=2^x+x-5 (its roots are the solutions to the problem), and find its derivative f'(x)=ln(2)2^x+1. Newton's method is iterative, and the next step in the approximation (c_n) is written in terms of the previous approximation (c_[n-1]) as c_n=c_[n-1]-(f(c_[n-1]))/(f'(c_[n-1])) (admittedly this looks overly complex in plaintext but look it but to get a better idea). It starts with an initial guess, and each successive iteration approximately doubles the precision. This gives us a value of about 1.71562073328.

@googlechachu2ndid370

2 ай бұрын

It is giving the wrong answer. And in India we have learnt to never differentiate an equation. Although, we can differentiate identities. But, I am not sure of this.@@rutamupadhye1828

@weirdoze

Ай бұрын

​@@rutamupadhye1828 how when I'm doing it log is being undefined (log²(-1/ln2))

Easily the best intro to the Lambert W on KZread.

@snasundertale8949

3 ай бұрын

yes

@henriettejansen1944

Ай бұрын

I totally agree!!!

A natural Teacher as you is gold for the Student Body, You know your field extremely well. You taught me in 5 minutes what 10 other teachers tried and failed to do. Thank You Sir.

chat is this a w function

@reuvendaich1572

9 күн бұрын

hahaha funny I enjoyed this comment thank you

@Ech0Ven0m

5 күн бұрын

nah, it’s a Tungsten function

i dont know were these functions are used i am here for the vibe this man has

@TARSRobot

6 ай бұрын

I used it the other day when calculating various downpayment values and their relationship on total interest amount over the course of said loan

@brokenamigo4880

6 ай бұрын

@@TARSRobot those things went over my head I'm just 15 I don't understand it

@CST1992

2 ай бұрын

You will learn about it when you learn quadratic equations in school. So, something like x + 5 = 0 is easy, right? x = -5. But what if you have something like x^2 + x = 5? That you can solve using quadratic equations. This will be useful if you have something like 2^x = 5. You know the answer is between 2 and 3, but what is it, exactly?

Excellent job of describing a use of the Lambert function... you are a great teacher !

Sir, you are really an amazing and exciting teacher. You also speak very clear making it understandable for those who are not native in English like me. All I want to say is that I hope I had only one teacher like you during my 30 years of education. Keep going and good luck.

I have to say that I have tried to watch several videos on this topic from prominent KZreadrs. You are the only one that actually managed to explain it to me. Thanks for a great video.

I have watched a number of Lambert W function clips and done some problems but this one was very nicely explained. Step by step and methodical. Kudos

You've re-kindled my love of Math. I got sidetracked several decades ago but your calm teaching manner and clear solutions has given me new inspiration and a better way to spend some of my time in mental workouts :) There are many "smart' people, like some of my old Physics/Maths Profs...but few who could teach. Thanks very much.

Finally a clear explanation of how a mixed linear and exponential equation is solved algebraically in exact form with a special function I had not heard of before.

One of the best math channels on youtube. Congrats and thank you for sharing your knowledge.

@PrimeNewtons

6 ай бұрын

Wow, thanks!

@9WEAVER9

5 ай бұрын

​@@PrimeNewtonsNot the op you replied to, but right back at ya, Thank You!! You're doing great things!

This is the perfect level of math for me. I haven’t done this stuff for forty years, and it feels good to get back to it.

Great job for an introduction to the Lambert W function. It is important to point out though, that unlike logs, the Lambert W function is multi-valued between [-1/e, 0). Therefore, you have to be careful when using it.

So far the best mathematician I've come across

You speak with a remarkable clarity which rivals some of the best teachers i’ve had. Thank you for making these lessons.

I have seen the Lambert W function in other videos, but I have never understood it. Your comparison with natural logarithms makes so much sense.

I'm a Principal Scientist in mathematics and theoretical computer science (mainly) and still enjoy your videos. I'm not a teacher (unless you count the odd PhD), so I really admire your skill at teaching, which is something I don't really have. My wife is giggling, teasing me about - erhem - watching another guy solving him some sexy little equation. 😊

@PrimeNewtons

Ай бұрын

I am honored. Thank you 😊

@srig3649

Ай бұрын

"Unless you count the odd PhD" I wish to be able to use that phrase to describe my education someday

I have never subscribed faster to a KZread channel. Was already familiar with the Lambert function, but this was the most engaging math video I can think of to watch. Massively looking forward to checking out the rest of the channel. Thank you!

@PrimeNewtons

5 ай бұрын

Welcome aboard!

I love your way of explaining, the expressions and light in your face when you come to the conclusions. Admirable!

Congratulations, a very clear explanation of the Lambert function. Just one small criticism: in my opinion it needs to be emphasised that we are in general here dealing with irrational numbers which cannot be written exactly as decimals. So for example ln2 is only approximately 0.693. It is for this reason that in pure mathematics it is preferable to leave the answer as ln2.

Thank you. For me, Lambert was a VERY brief aside in a larger lecture, so I quickly forgot all about it, and probably could have used it on multiple occasions. The same thing happened with the Convolution theorem. A professor said "Oh, by the way, this is the convolution theorem," wrote it in a corner of the chalkboard, and went on with the rest of the lecture. Years later, I was doing a proof for a class, and no matter what I tried, I couldn't make it work. So I worked forward from the question, worked backwards from the answer, and found a peculiar equation ay the place where the two met. So I included that equation in my proof without knowing what it was. I went to the appropriate lecture about that homework problem when the professor went over that particular proof. When he got to the mysterious equation needed to make the proof work, he said "convolution theorem" and suddenly I was able to remember that very brief aside in that calculus lecture and got mad that its mention was so brief.

I love the way you explain Mathematical Concepts!! You break down the complex into understandable points

Such a clean and clear instruction without any intimidating math jargon or notation!

Thanks you. This is the clearest description I've heard for LAMBERT W.

Dearest creator of enlightening content, your elucidation of the Lambert W function is truly captivating. Your brilliance shines brighter than the morning star itself. Gratitude for sharing your knowledge and igniting the flames of curiosity within us all. Stay celestial in your pursuits!

Your teaching technique is wonderful! Bravo! Take a bow, my good man!

You are an excellent teacher. All explanations of this I could find online were incredibly hard to understand, but you explained this with elegance and simplicity. Wonderful job.

Your cute smile makes everyone not only to love your videos but also to love Mathematics.. I appreciate your great work. Thank you..

Boy I watch a lot of math guys on youtube, and lots of them are really nice, too. but I just love to listen to you. I would've loved to have you had as my math teacher. you are one of those where I just listen and I just understand, the sign of a great teacher.

Милый, приятный, умный диктор. Одно удовольствие смотреть и слушать!

You are so articulate and an excellent teacher thank you!

What a gentle and kind Tutor you are..so refreshing and inspiring ❤ thx deeply

His energy is contagious. It makes the video so lively

You are really cool! Only in you i made myself to understand “W function”. With your cool presentation and nice instructions, makes me understand it. Keep it up Nice Guy!

Really soothing voice and friendly personality. Makes math very approachable.

Your penmanship is amazing.

Yeah! After studying another similar equation, I just ground this out successfully after a few false starts along the way. Two years of college math through calculus, linear algebra, and differential equations and I never was taught the Lambert W function. Nice to expand my horizons.

Thank you for this! I was aware of the function before but couldn't really wrap my head around it. This has cleared things up for me. Much appreciated!

Beautiful lesson! Very clear and explanatory! Thank you very much, professor! Greetings from Italy.

I love your clear explanation. Your energy and enthusiasm really stands out. Keep up the good work!

Great treatment of an interesting function (that I had never heard of before). Excellent presentation style.

Your smile gives me chills. I can easily enjoy and learn from your videos.😊

It blew my mind and you explained it in such a simple manner that I managed to solve every question after

I love your intro, you make math seem like an exciting riddle

I love this video 😄 my first time watching you. I LOVE your charisma and I can follow along, and you make me want to follow along too. I’m a Calc 2 college student. I’ll use your channel as a resource 😄

Excellent! Like Bill & Ted's adventure. Thanks also for the clearest chalkboard writing I've ever seen. I look forward to your other videos.

Great video. Your enthusiasm is infectious!

My friend, I am your viewer from Turkey. Even though my English is not good, I understand the language more or less and I understand your operations very well. Thank you very much indeed ❤

@PrimeNewtons

Ай бұрын

Wow, thank you

Wish I had a math teacher in school with this much charisma.❤❤❤ Ps.I am also wearing the same t shirt right now.😊😊

That was a very nice explanation of the Lambert W function. I like your calm way of speaking and it was a well chosen example to calculate.

I came here for the maths, but to my great delight I discovered there was more enjoyment to be had; the way you speak is mesmerizing, and I really wish there was a Windows font with your beautiful handwriting.

Subscribed, better than any, literally ANY lesson I've come up over yet. Mathematics is my favorite subject and I explore new functions/techniques and try to learn once I see those. I often find it quite frustrating to not get a proper explanation, searched throughout the whole internet. It gives me trouble to search for new things which actually teaches from the beginning of a topic. I've casually and randomly jumped upon this channel and I'm genuinely fascinated about how easy and clear, yet proper his lessons are! You've just earned a sub bro, keep it up ❤❤

Very impressive lecture indeed. The calmness with which you teach and the ideas that you put forth is really very appreciable.

@PrimeNewtons

4 ай бұрын

Glad it was helpful!

Very nice! I knew about the Lambert W function but I don’t think I would have been able to express the equation in a form where it could be applied. Keep up the great work 👍👍👍

@1mol831

5 ай бұрын

I guess the main reason why it can be used in such a way is due to the function having a definite solution.

At first i thought it cant be solved, but you made it look so easy. Thats mark of a quality teacher. Thankyou Sir.

I am 12th pass student in India preparing for JEE Advanced and BITSAT, the entrance exams for most precitous colleges in India These type of videos are great for it

I find it fascinating that you can tell the difference between a physicist and a mathematician by how they write their variables

@vestelshirley8887

5 ай бұрын

The problem ends like an engineering exercise - look it up in a table. I get the same feeling when I kiss my sister on the cheek. He is a very good teacher but starting with a lambert function of a variable and ending with a lambert function of a constant doesn't quench my curiosity.

@theblinkingbrownie4654

5 ай бұрын

​@@vestelshirley8887tbf that's the same as functions such as exp(x) and ln(x), but I do want to know how to approximate it

@keypey8256

4 ай бұрын

I dont remember it but there is a straight forward power seriea for the Lambert W function just as there is one for lnx and e^x so I wouldn't really call that an engineering problem that requires a lookup table

Normally, I don’t like blackboards math tutorials. However, your presentation was solid. Keep up the good work

You're the best. I hope you were my teacher

Im so happy I found this channel

Excellent explanation!!!! Thanks soooo much!! A great introduction to the Lambert product function!!!

You are not only teaching mathematics, u r smiling mathematics, gesturing mathematics, breathing mathematics, may b sleeping and eating mathematics too,....superb

Whole level of math that I have lost track of if I never had it from the start.

Really interesting how, when I saw your video, I solved it myself first, and we rearranged it in different ways! I exponentiated both sides with base 2 and then multiplied both sides by ln2, getting the required form, and so 2^x ln2 = W(32 ln2). I had no idea there were different ways to solve these equations using Lambert W.

@fahrenheit2101

6 ай бұрын

whoa that's much faster - nice one!

@martinjoster3282

5 ай бұрын

I did a different shortcut, multiplying both sides by e^-ln2 in order to remove it from the left hand side rather than adding it to the "input" of the productlog haha

I've never seen that W function before but It's good for me to get new knowledge.Thank you so much.

Thank you. Absolutely beautiful teaching of a difficult concept for me.

I just discovered your channel and lately I’ve been seeing the Lambert W function being mentioned on Black Pen Red Pen. However, I didn’t find a good explanation there. Now I get it ! Thanks.

I saw a similar equation like this when I was learning about diodes & transistors. I had to guess a solution by repeatedly putting different x’s on the equation, but this seems like a whole new perspective to solve!! I really love your explanation!!

@PrimeNewtons

5 ай бұрын

Thanks for sharing

@codetech5598

Ай бұрын

_"I had to guess a solution by repeatedly putting different x’s on the equation"_ Graph the equation to get the approximate (very close) value of x.

A beautiful intuative explanation free from technical language and complicaction. Thank you😂

i want this dude to be my teacher man so cheerful n happy to teach makes it very fun lol

Great explanation. Some months ago I came across this one and trying to get my head around it!

Great job here. I am glad to have found you. Keep up the great work. You inspire

i love your videos and how easy they are to understand. they make me love maths even more

Underrated channel and I've only seen this video. Fun stuff.

dope, been loving the videos coming out so far!!

Enjoyed that a lot. Never heard of the W function. Very clear explanation - a bit leisurely for my taste. Love the chalk board. Love the black cap. Would appreciate an exploration of the W function.

great video i had heard this function briefly mentioned in a previous video and didnt think id ever be able to understand but you are an excellent teacher and your contained excitement over it had me laughing out loud throughout

@PrimeNewtons

4 ай бұрын

Never stop laughing 😃

Thanks for interesting and pedagogic teaching 🥳👍🏻

One note. The function W() can have multiple values. On the complex plane there is an infinite amount of them (because exp() is periodic). For a real variable it is simplier (perhaps) W(-1/e) = -1 (one solution) W(-1/e W(x >= 0) has only one solution [0;+inf) and to be precise: W(x < -1/e) has no real solution at all.

Your elaboration is crystal clear. good job and thx. .

Grandiosa explicación, excelente profesor.

So interesting and clear. Great review of natural logs

I'm so happy to have found your channel omg, great stuff!! (and your handwriting is incredible lmao)

@PrimeNewtons

3 ай бұрын

I'm glad you're here

Well done, PN. You have a nice approach. I'm going to check your other videos.

Very nice and clear explanation. Your handwriting is on point as well.

YOU REALLY HAVE GREAT TALENTS IN TEACHING. THANKYOU I understanded it even i did not knew the lambert w function. keep this up!!!!!

Awesome video, you're a great teacher!

I love this guy, thank you KZread algorithm

Your enthusiasm is a credit to you and an inspiration to all 😊😊

What the hell ??? What level math is this ??I had college Algebra Trigonometry and 4 semesters of calculus I had to slow down this video work this out on a pice of paper So I could better understand I never heard of this “W “ until today You did an excellent job of explaining it was just little to fast for my 66 year old brain to keep up So got a pice of paper and started to write down problem as you were doing it I believe in hands on doing math.This has to be an advanced college algebra course That you would take after college algebra Something I never took I am totally blown away I am definitely subscribing to your channel Totally impressive

Thrilled to expect another form of Lambert wave function. With another equations

Your voice is so calming.

I like your way of explaining sir, very very effective! Keep going sir.

I have never heard of the product log before and I must admit that I like this introduction to it. Wolfram seems fun but as an ordinary person I haven't access to it. I like your style of presentation, fresh, humerous and accurate :-)

@Telefonsladd

5 ай бұрын

Wolframalpha is free and is the same website he used in the video

Thanks sir! I have finally understood how to do these types of equations only because of you. Thank you 😊

Jesus.. Your class is awesome! I'm Korean student and not good at English but your video can help me. Furthermore, I have interesting at tetration that you uploaded in other video. I don't know that i text properly lol. Have a good day.