In this video, I showed how to use the Lambert W function to solve an exponential equation.
Пікірлер
chat is this a w function
@alter50666 ай бұрын
hahaha funny I enjoyed this comment thank you
@reuvendaich157215 күн бұрын
nah, it’s a Tungsten function
@Ech0Ven0m11 күн бұрын
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.
@begufibegufi63552 ай бұрын
Thank you! Wish I deserve such magnanimity!
@PrimeNewtons2 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
@donpedro007692 ай бұрын
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.
@jayniesgottagun7 ай бұрын
Ценный Й😅😮😮😮1
@alexanxerrosenfeld37936 ай бұрын
I am the one who integrates
@republicofvegans7126 ай бұрын
Thank you walter white
@billiboi1226 ай бұрын
What percentage of our genetics has to doe with medical health ?
@user-qp1jh5vm8m6 ай бұрын
I thought your dad was a chemistry teacher
@tabibhassan33765 ай бұрын
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.
@BeesleSRКүн бұрын
Easily the best intro to the Lambert W on KZhead.
@missoss4 ай бұрын
yes
@snasundertale89493 ай бұрын
I totally agree!!!
@henriettejansen1944Ай бұрын
The best thing is I learn Math from your videos without getting bored. Thats a mark of a great teacher.
@steelspear6 ай бұрын
Glad you think so!
@PrimeNewtons6 ай бұрын
You could also differentiate the eq and find it ig
@rutamupadhye18285 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.
@dank.3 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
@googlechachu2ndid3703 ай бұрын
@@rutamupadhye1828 how when I'm doing it log is being undefined (log²(-1/ln2))
@weirdoze2 ай бұрын
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.
@thethievingmonkey5 ай бұрын
May I know from which institute u are doing Mech Engg because Iam too in 1st sem ME ...from INDIA
@raghavkumarsingh42225 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.
@thethievingmonkey5 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!"
@CST19922 ай бұрын
10 out of 1000?
@user-hk9du6px9xАй бұрын
I used this at Lambda Lambda Lambda
@user-hk9du6px9xАй бұрын
i dont know were these functions are used i am here for the vibe this man has
@brokenamigo48807 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
@TARSRobot6 ай бұрын
@@TARSRobot those things went over my head I'm just 15 I don't understand it
@brokenamigo48806 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?
@CST19922 ай бұрын
Excellent job of describing a use of the Lambert function... you are a great teacher !
@brianmurphy47027 ай бұрын
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. 😊
@darrynreid4500Ай бұрын
I am honored. Thank you 😊
@PrimeNewtonsАй бұрын
"Unless you count the odd PhD" I wish to be able to use that phrase to describe my education someday
@srig3649Ай бұрын
I have never subscribed faster to a KZhead 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!
@mattbrown5125 ай бұрын
Welcome aboard!
@PrimeNewtons5 ай бұрын
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.
@ant961Handle5 ай бұрын
I have to say that I have tried to watch several videos on this topic from prominent KZheadrs. You are the only one that actually managed to explain it to me. Thanks for a great video.
@roygalaasen5 ай бұрын
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.
@keithnisbetАй бұрын
One of the best math channels on youtube. Congrats and thank you for sharing your knowledge.
@AlejandroGomez-yx1sg6 ай бұрын
Wow, thanks!
@PrimeNewtons6 ай бұрын
@@PrimeNewtonsNot the op you replied to, but right back at ya, Thank You!! You're doing great things!
@9WEAVER96 ай бұрын
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.
@christianlibertarian54883 ай бұрын
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.
@naghipakdaman6 ай бұрын
I love your way of explaining, the expressions and light in your face when you come to the conclusions. Admirable!
@babsibecause2 ай бұрын
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.
@tofu_golem2 ай бұрын
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.
@robertpearce83945 ай бұрын
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.
@VMac-eg7fb7 күн бұрын
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.
@user-rg1ew4qi1q5 ай бұрын
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.
@ddognine5 ай бұрын
I love the way you explain Mathematical Concepts!! You break down the complex into understandable points
@ultrasteamcarpetcleaning3207Ай бұрын
Such a clean and clear instruction without any intimidating math jargon or notation!
@emdash89445 ай бұрын
Милый, приятный, умный диктор. Одно удовольствие смотреть и слушать!
@HlodwigFisher4 ай бұрын
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
@laman89146 ай бұрын
You speak with a remarkable clarity which rivals some of the best teachers i’ve had. Thank you for making these lessons.
@ju50396 ай бұрын
So far the best mathematician I've come across
@AmuzuVivian-hn8eoАй бұрын
Your teaching technique is wonderful! Bravo! Take a bow, my good man!
@timhourigan62575 ай бұрын
His energy is contagious. It makes the video so lively
@hamzaiqbal71786 ай бұрын
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!
@_Lucian_VАй бұрын
You are so articulate and an excellent teacher thank you!
@sigvald30566 ай бұрын
Your cute smile makes everyone not only to love your videos but also to love Mathematics.. I appreciate your great work. Thank you..
@SukumarBaishya5 ай бұрын
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!
@swankitydankity2975 ай бұрын
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.
@jugandugan352713 күн бұрын
Beautiful lesson! Very clear and explanatory! Thank you very much, professor! Greetings from Italy.
@BruceLee-io9by18 күн бұрын
It blew my mind and you explained it in such a simple manner that I managed to solve every question after
@leeseznayove5723Ай бұрын
Your smile gives me chills. I can easily enjoy and learn from your videos.😊
@__shubham__Ай бұрын
Thanks you. This is the clearest description I've heard for LAMBERT W.
@mpperfidyАй бұрын
What a gentle and kind Tutor you are..so refreshing and inspiring ❤ thx deeply
@rationalsceptic76343 ай бұрын
Great treatment of an interesting function (that I had never heard of before). Excellent presentation style.
@markTheWoodlands6 ай бұрын
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!
@dawon7750Ай бұрын
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.
@Xebtria4 ай бұрын
I love your clear explanation. Your energy and enthusiasm really stands out. Keep up the good work!
@Marco-AurelioHernandez3 ай бұрын
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.
@jim23765 ай бұрын
Excellent! Like Bill & Ted's adventure. Thanks also for the clearest chalkboard writing I've ever seen. I look forward to your other videos.
@davidwright84324 ай бұрын
Great video. Your enthusiasm is infectious!
@tomvitale35557 ай бұрын
Your penmanship is amazing.
@TheLawlbreaker3 ай бұрын
Really soothing voice and friendly personality. Makes math very approachable.
@spicymickfool7 ай бұрын
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 ❤❤
@anonymouschessaccount55082 ай бұрын
Excellent explanation!!!! Thanks soooo much!! A great introduction to the Lambert product function!!!
@henriettejansen1944Ай бұрын
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.
@randomguy62954 ай бұрын
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
@godoit7569Ай бұрын
I've never seen that W function before but It's good for me to get new knowledge.Thank you so much.
@chethkeathmaths5 ай бұрын
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 < x < 0) has two solution : the first is inside (-1;0) and the second is inside (-inf;-1) W(x >= 0) has only one solution [0;+inf) and to be precise: W(x < -1/e) has no real solution at all.
@sergeygaevoy642222 күн бұрын
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.
@sander_bouwhuis2 ай бұрын
At first i thought it cant be solved, but you made it look so easy. Thats mark of a quality teacher. Thankyou Sir.
@iotdeveloper5 ай бұрын
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 😄
@stealthgamer46206 ай бұрын
I love your intro, you make math seem like an exciting riddle
@TylerThomas5 ай бұрын
Wish I had a math teacher in school with this much charisma.❤❤❤ Ps.I am also wearing the same t shirt right now.😊😊
@adnanabbas70517 ай бұрын
You are not only teaching mathematics, u r smiling mathematics, gesturing mathematics, breathing mathematics, may b sleeping and eating mathematics too,....superb
@gulammohiuddinakhone-dq4wyАй бұрын
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 ❤
@Hasannniahahah2 ай бұрын
Wow, thank you
@PrimeNewtons2 ай бұрын
Normally, I don’t like blackboards math tutorials. However, your presentation was solid. Keep up the good work
@xavier324214 ай бұрын
A beautiful intuative explanation free from technical language and complicaction. Thank you😂
@mrpeterkempnerАй бұрын
Great job here. I am glad to have found you. Keep up the great work. You inspire
@lenardlontoc35852 ай бұрын
Very impressive lecture indeed. The calmness with which you teach and the ideas that you put forth is really very appreciable.
@sonaraghavan94545 ай бұрын
Glad it was helpful!
@PrimeNewtons5 ай бұрын
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 👍👍👍
@giacomomosele22216 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.
@1mol8316 ай бұрын
Your elaboration is crystal clear. good job and thx. .
@healthy662242 ай бұрын
Grandiosa explicación, excelente profesor.
@nicolascamargo83395 ай бұрын
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.
@vynderma5 ай бұрын
Your enthusiasm is a credit to you and an inspiration to all 😊😊
@bazboy244 ай бұрын
Great explanation. Some months ago I came across this one and trying to get my head around it!
@lorenzbroll01016 ай бұрын
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.
@TheDannyAwesome6 ай бұрын
whoa that's much faster - nice one!
@fahrenheit21016 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
@martinjoster32826 ай бұрын
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.
@adamwhiteson68665 ай бұрын
So interesting and clear. Great review of natural logs
@richardlevine51635 ай бұрын
YOU REALLY HAVE GREAT TALENTS IN TEACHING. THANKYOU I understanded it even i did not knew the lambert w function. keep this up!!!!!
@harrykdy75 ай бұрын
I'm so happy to have found your channel omg, great stuff!! (and your handwriting is incredible lmao)
@TheRenaSystem3 ай бұрын
I'm glad you're here
@PrimeNewtons3 ай бұрын
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
@johnplong3644Ай бұрын
Thanks for interesting and pedagogic teaching 🥳👍🏻
@mr.renovator48597 ай бұрын
I find it fascinating that you can tell the difference between a physicist and a mathematician by how they write their variables
@bringonthevelocirapture6 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.
@vestelshirley88875 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
@theblinkingbrownie46545 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
@keypey82565 ай бұрын
Thanks for your careful explaining!
@reaowens271213 сағат бұрын
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!!
@grad1_105 ай бұрын
Thanks for sharing
@PrimeNewtons5 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.
@codetech5598Ай бұрын
Awesome video, you're a great teacher!
@bjeelaa87956 ай бұрын
Underrated channel and I've only seen this video. Fun stuff.
@andrewporter18686 ай бұрын
Well done, PN. You have a nice approach. I'm going to check your other videos.
@fredschneider74755 ай бұрын
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.
@MATHONG17 күн бұрын
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
@TheMiniMiners9114 ай бұрын
Never stop laughing 😃
@PrimeNewtons4 ай бұрын
dope, been loving the videos coming out so far!!
@boogiesama6 ай бұрын
Thank you. Absolutely beautiful teaching of a difficult concept for me.
@jamesmccamish39015 күн бұрын
Thanks sir! I have finally understood how to do these types of equations only because of you. Thank you 😊
@Joey_king6 ай бұрын
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....
@jacplanespotting3145 ай бұрын
Im so happy I found this channel
@ak-475204 ай бұрын
i love your videos and how easy they are to understand. they make me love maths even more
@bulletsabbath18982 ай бұрын
Really cool video i love the clean chalk and demonstration
@user-ui7hk6zm1r6 ай бұрын
I like your way of explaining sir, very very effective! Keep going sir.
@user-tw9dc4cc9l5 ай бұрын
A very excellent talk. Thank you very much.
@faridmohammadmaalekghaini6 ай бұрын
Way of teaching is Suberbbb... ❤😊
@LogicRk5 ай бұрын
Very clear explanation and handwriting. Excellent.
@acerovalderas4 ай бұрын
Very nice and clear explanation. Your handwriting is on point as well.
chat is this a w function
hahaha funny I enjoyed this comment thank you
nah, it’s a Tungsten function
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
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.
Easily the best intro to the Lambert W on KZhead.
yes
I totally agree!!!
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))
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
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?
Excellent job of describing a use of the Lambert function... you are a great teacher !
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 have never subscribed faster to a KZhead 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!
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.
I have to say that I have tried to watch several videos on this topic from prominent KZheadrs. 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.
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!
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.
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 love your way of explaining, the expressions and light in your face when you come to the conclusions. Admirable!
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 have seen the Lambert W function in other videos, but I have never understood it. Your comparison with natural logarithms makes so much sense.
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.
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.
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 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!
Милый, приятный, умный диктор. Одно удовольствие смотреть и слушать!
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 speak with a remarkable clarity which rivals some of the best teachers i’ve had. Thank you for making these lessons.
So far the best mathematician I've come across
Your teaching technique is wonderful! Bravo! Take a bow, my good man!
His energy is contagious. It makes the video so lively
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!
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..
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!
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.
Beautiful lesson! Very clear and explanatory! Thank you very much, professor! Greetings from Italy.
It blew my mind and you explained it in such a simple manner that I managed to solve every question after
Your smile gives me chills. I can easily enjoy and learn from your videos.😊
Thanks you. This is the clearest description I've heard for LAMBERT W.
What a gentle and kind Tutor you are..so refreshing and inspiring ❤ thx deeply
Great treatment of an interesting function (that I had never heard of before). Excellent presentation style.
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!
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.
I love your clear explanation. Your energy and enthusiasm really stands out. Keep up the good work!
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.
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!
Your penmanship is amazing.
Really soothing voice and friendly personality. Makes math very approachable.
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 ❤❤
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 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've never seen that W function before but It's good for me to get new knowledge.Thank you so much.
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 < x < 0) has two solution : the first is inside (-1;0) and the second is inside (-inf;-1) W(x >= 0) has only one solution [0;+inf) and to be precise: W(x < -1/e) has no real solution at all.
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.
At first i thought it cant be solved, but you made it look so easy. Thats mark of a quality teacher. Thankyou Sir.
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 😄
I love your intro, you make math seem like an exciting riddle
Wish I had a math teacher in school with this much charisma.❤❤❤ Ps.I am also wearing the same t shirt right now.😊😊
You are not only teaching mathematics, u r smiling mathematics, gesturing mathematics, breathing mathematics, may b sleeping and eating mathematics too,....superb
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
Normally, I don’t like blackboards math tutorials. However, your presentation was solid. Keep up the good work
A beautiful intuative explanation free from technical language and complicaction. Thank you😂
Great job here. I am glad to have found you. Keep up the great work. You inspire
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!
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.
Your elaboration is crystal clear. good job and thx. .
Grandiosa explicación, excelente profesor.
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.
Your enthusiasm is a credit to you and an inspiration to all 😊😊
Great explanation. Some months ago I came across this one and trying to get my head around it!
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
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.
So interesting and clear. Great review of natural logs
YOU REALLY HAVE GREAT TALENTS IN TEACHING. THANKYOU I understanded it even i did not knew the lambert w function. keep this up!!!!!
I'm so happy to have found your channel omg, great stuff!! (and your handwriting is incredible lmao)
I'm glad you're here
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 🥳👍🏻
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
Thanks for your careful explaining!
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.
Awesome video, you're a great teacher!
Underrated channel and I've only seen this video. Fun stuff.
Well done, PN. You have a nice approach. I'm going to check your other videos.
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.
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 😃
dope, been loving the videos coming out so far!!
Thank you. Absolutely beautiful teaching of a difficult concept for me.
Thanks sir! I have finally understood how to do these types of equations only because of you. Thank you 😊
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....
Im so happy I found this channel
i love your videos and how easy they are to understand. they make me love maths even more
Really cool video i love the clean chalk and demonstration
I like your way of explaining sir, very very effective! Keep going sir.
A very excellent talk. Thank you very much.
Way of teaching is Suberbbb... ❤😊
Very clear explanation and handwriting. Excellent.
Very nice and clear explanation. Your handwriting is on point as well.