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.
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.
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 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.
@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.
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
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. 😊
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?
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.
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.
Your enunciation and pace of delivery is just right for my brain to clearly process the information (comfortably) before embracing the next step in the problem process.
I have to say that I have tried to watch several videos on this topic from prominent CZcamsrs. You are the only one that actually managed to explain it to me. Thanks for a great video.
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.
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.
I have never subscribed faster to a CZcams 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!
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.
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 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!
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!
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.
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.
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.
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.
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 😄
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 👍👍👍
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!
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 ❤❤
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 ❤
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.
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 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 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.
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
You are not only teaching mathematics, u r smiling mathematics, gesturing mathematics, breathing mathematics, may b sleeping and eating mathematics too,....superb
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!!
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
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.
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
Very nice video. I was unaware of the Lambert W function - this is a nice little tool for the box. Thanks, man. I'll have to write a little program for this on my DM-42 (unfortunately it's not in the factory function catalog).
Initially i was skeptical about this video question and solution.... You have missed the odd step, but - you have a wonderful demeanour and excellent board work and communication skills....
chat is this a w function
hahaha funny I enjoyed this comment thank you
nah, it’s a Tungsten function
Я не понимаю @@Ech0Ven0m
@@lessonologyplants3064 В таблице элементов Tungsten обозначается как W
@@iliongg2971 больше спасибо
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.
Thank you! Wish I deserve such magnanimity!
@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.
Ценный Й😅😮😮😮1
I am the one who integrates
Thank you walter white
What percentage of our genetics has to doe with medical health ?
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.
May I know from which institute u are doing Mech Engg because Iam too in 1st sem ME ...from INDIA
@@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.
Out of 100?
Because every professor I know is going to go: "Hey, this guy is not supposed to know the Lambert W!"
10 out of 1000?
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.
Glad you think so!
You could also differentiate the eq and find it ig
@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.
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
@@rutamupadhye1828 how when I'm doing it log is being undefined (log²(-1/ln2))
Easily the best intro to the Lambert W on CZcams.
yes
I totally agree!!!
bprp better
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. 😊
I am honored. Thank you 😊
"Unless you count the odd PhD"
I wish to be able to use that phrase to describe my education someday
i dont know were these functions are used i am here for the vibe this man has
I used it the other day when calculating various downpayment values and their relationship on total interest amount over the course of said loan
@@TARSRobot those things went over my head I'm just 15 I don't understand it
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?
You are good Sir, both in teaching and knowledge.....I'm 75yrs and still learning.
Excellent job of describing a use of the Lambert function... you are a great teacher !
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.
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.
So far the best mathematician I've come across
One of the best math channels on youtube. Congrats and thank you for sharing your knowledge.
Wow, thanks!
@@PrimeNewtonsNot the op you replied to, but right back at ya, Thank You!! You're doing great things!
Your enunciation and pace of delivery is just right for my brain to clearly process the information (comfortably) before embracing the next step in the problem process.
I have to say that I have tried to watch several videos on this topic from prominent CZcamsrs. You are the only one that actually managed to explain it to me. Thanks for a great video.
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.
I love your way of explaining, the expressions and light in your face when you come to the conclusions. Admirable!
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
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.
I have never subscribed faster to a CZcams 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!
Welcome aboard!
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.
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.
Милый, приятный, умный диктор. Одно удовольствие смотреть и слушать!
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.
You speak with a remarkable clarity which rivals some of the best teachers i’ve had. Thank you for making these lessons.
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.
Such a clean and clear instruction without any intimidating math jargon or notation!
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!
Your teaching technique is wonderful! Bravo! Take a bow, my good man!
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!
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.
His energy is contagious. It makes the video so lively
I love the way you explain Mathematical Concepts!! You break down the complex into understandable points
You are so articulate and an excellent teacher thank you!
Your cute smile makes everyone not only to love your videos but also to love Mathematics.. I appreciate your great work. Thank you..
Thanks you. This is the clearest description I've heard for LAMBERT W.
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.
Great treatment of an interesting function (that I had never heard of before). Excellent presentation style.
What a gentle and kind Tutor you are..so refreshing and inspiring ❤ thx deeply
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.
Really soothing voice and friendly personality. Makes math very approachable.
I love your clear explanation. Your energy and enthusiasm really stands out. Keep up the good work!
Your penmanship is amazing.
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.
Great video. Your enthusiasm is infectious!
Excellent! Like Bill & Ted's adventure. Thanks also for the clearest chalkboard writing I've ever seen. I look forward to your other videos.
Excellent explanation!!!! Thanks soooo much!! A great introduction to the Lambert product function!!!
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've never seen that W function before but It's good for me to get new knowledge.Thank you so much.
At first i thought it cant be solved, but you made it look so easy. Thats mark of a quality teacher. Thankyou Sir.
Ah, the product logarithm. I love this function. It's so useful.
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 😄
Your smile gives me chills. I can easily enjoy and learn from your videos.😊
Beautiful lesson! Very clear and explanatory! Thank you very much, professor! Greetings from Italy.
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 👍👍👍
I guess the main reason why it can be used in such a way is due to the function having a definite solution.
I love your intro, you make math seem like an exciting riddle
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!
Very impressive lecture indeed. The calmness with which you teach and the ideas that you put forth is really very appreciable.
Glad it was helpful!
It's been my pleasure to follow your cristal clear & relax way of solving the equation. Be luck with you.
Greetings from Warsaw
😅😅😅
This is my first time on this channel. To be honest, this is really awesome!
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 ❤❤
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 ❤
Wow, thank you
I'm surprised that I learned this on the first try, You are a great teacher.
Grandiosa explicación, excelente profesor.
It blew my mind and you explained it in such a simple manner that I managed to solve every question after
Is this channel underrated? It feels like it because of his calming voice and the perfect explanation on mathematics (btw I am bad at English)
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.
whoa that's much faster - nice one!
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 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.
Wish I had a math teacher in school with this much charisma.❤❤❤
Ps.I am also wearing the same t shirt right now.😊😊
Normally, I don’t like blackboards math tutorials. However, your presentation was solid.
Keep up the good work
Your elaboration is crystal clear. good job and thx. .
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.
YOU REALLY HAVE GREAT TALENTS IN TEACHING. THANKYOU I understanded it even i did not knew the lambert w function. keep this up!!!!!
Great explanation. Some months ago I came across this one and trying to get my head around it!
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
Thanks for interesting and pedagogic teaching 🥳👍🏻
So interesting and clear. Great review of natural logs
Thanks sir!
I have finally understood how to do these types of equations only because of you.
Thank you 😊
Underrated channel and I've only seen this video. Fun stuff.
You are not only teaching mathematics, u r smiling mathematics, gesturing mathematics, breathing mathematics, may b sleeping and eating mathematics too,....superb
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!!
Thanks for sharing
_"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.
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 job here. I am glad to have found you. Keep up the great work. You inspire
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
Never stop laughing 😃
Thank you for this great video. Math is indeed all about transformations of unknown terms to known terms.
dope, been loving the videos coming out so far!!
I find it fascinating that you can tell the difference between a physicist and a mathematician by how they write their variables
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.
@@vestelshirley8887tbf that's the same as functions such as exp(x) and ln(x), but I do want to know how to approximate it
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
Awesome video, you're a great teacher!
Thrilled to expect another form of Lambert wave function. With another equations
람베르트 W 함수에 대해 간단히 설명 해주셔서 감사합니다
Im so happy I found this channel
Well done, PN. You have a nice approach. I'm going to check your other videos.
Your enthusiasm is a credit to you and an inspiration to all 😊😊
I'm really enjoying your videos. Keep up the good work!
I like your way of explaining sir, very very effective! Keep going sir.
Very nice video. I was unaware of the Lambert W function - this is a nice little tool for the box. Thanks, man. I'll have to write a little program for this on my DM-42 (unfortunately it's not in the factory function catalog).
Initially i was skeptical about this video question and solution....
You have missed the odd step, but - you have a wonderful demeanour and excellent board work and communication skills....
A very excellent talk. Thank you very much.
Ah yes it has a "W" for a reason