"I got carried away by my beautiful flower". Understandable.

Just saw your tetration video and it recommended me this,you are a really good teacher

@Skoolitz

7 ай бұрын

same!

@kramoja

7 ай бұрын

Same to me..

@alien-x0815

7 ай бұрын

same

@DAMGEON6272

7 ай бұрын

Sonotoriii

I'm 76 and have retired from a long career in physics and engineering, including teaching college level physics. I have to take special trouble to keep my skills active and your channel is superb for that. Things I haven't thought about in 50 years need just a bit more depth of explanation to refresh. Thanks

I love the way he teaches, he makes math look so easy

I love your videos! You have such clear steps and explanation

Just started bench watching your videos and how you're breaking maths concepts down into simpler understandable chunks by far the best one in online platform

Excellent video. I learned some new notation and how to solve the equation using the W function. Your discussion is clear and to the point. Your students should be happy they have such an excellent teacher that explains the problems very clearly and slowly.

²x = 16 xˣ = 16 x*ln(x) = ln(16) ln(x) * e^ln(x) = ln(16) ... apply Lambert W function on both sides ... W(ln(x) * e^ln(x)) = W(ln(16)) ln(x) = W(ln(16)) x = e^W(ln(16)) = ln(16)/W(ln(16)) By the way, if the equation were ³x = 16 then the solution would have been x = 2 .

@yair-talmeisler2854

6 ай бұрын

How did u turn e^W(ln16) into ln16/W(ln16)?

@yurenchu

6 ай бұрын

@@yair-talmeisler2854 W(y) = x means x*(e^x) = y And when x≠0 , x*(e^x) = y means e^x = y/x (just divide both sides by x). Now consider the situation that y = ln(16) and x = W(y) = W(ln(16)) . Then the derived identity above, e^x = y/x implies that e^W(ln(16)) = ln(16)/W(ln(16)) In general, e^W(y) = y/W(y) , because y = W(y)*e^W(y) . I hope that helps.

@PearCrust

5 ай бұрын

I solved this in like 5 seconds (I’m a math freak)

@alonelyphoenix8942

5 ай бұрын

​@@PearCrustshow procedure

@alonelyphoenix8942

5 ай бұрын

x^x = 16 ln(x^x) = ln 16 x•ln(x) = ln(16) Set y=lnx => x = e^y y•e^y = ln 16 Lambert W y = W(ln 16) Replacing to original x = exp(W(ln16))

Just an idea. Can you do the math showing how the W function actually works? That would be interesting.

@therealtruthsbysaloni2406

5 ай бұрын

Yes even I wanted to know about W function clearly

@higherthangods

5 ай бұрын

@@therealtruthsbysaloni2406 try learning about the Lagrange's Inversion Theorem then apply that to f(x) = x*e^x ; which will give you the W(x) very simply.

@navyntune8158

2 ай бұрын

W(x) is basically the inverse of xe^x

i was never into math until i found you through shorts and im greatful, i never expected that oneday i will enjoy watching this type of videos, thank you, a lot

I have seen a few of your videos, and I really love your style and your motto... I'll keep living.

Watching these videos is my guilty pleasure. Its soothing idk why.

Comment déterminer les nombres réels a,bet c tels que a

I just came from your tetration video, now I’m hypnotized by your lessons, you’re great

"... will give you back your ex. And that's the mission!" LOL!

I'm about to start as a math teacher (like in 3weeks), and I really hope i'll be as joyfull, handsome as you in front of my HS students. 😊 Keep it going! 😊

@ThenSaidHeUntoThem

7 ай бұрын

I am rooting for you

@galanig4072

7 ай бұрын

Good luck!!!☘️☘️☘️

@eliteteamkiller319

3 ай бұрын

The secret is the hat.

I've never heard of tetration up til now and now after whatching this beautiful video of yours I've learnt what it is and even how to solve the eqation! x-DBrilliant, steep learning curve within these 8min.20s! Thanks a lot and keep the good Maths vibes up! :-D

5:26 FAVOURITE 😹🔥 you explain everything very clear! thank you!🌷 (even though i practically don't use this level of math for my work or studies, you are feeding my interest in math just for the sake of it so well!) ps: yep I'm also from tetration)))

Thank you so much, I fell in love with your way of teaching ❤

30K Subscribers, congrats!!!

Such clear explanations. Thank you so much. Very enjoyable.

Hermoso canal, he visto varios videos suyos, y siempre entiendo su explicacion a los problemas a pesar de que el idioma es distintito, el gusto a las matematicas sobrepasa los limites del lenguaje. 10/10

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 :-)

@kellymoses8566

6 ай бұрын

wolfram alpha is free.

Love Maths, an your presentations are very pleasant. Thank you!

Very good explanation. What I like very much... it is slow enough for me to understand all steps Thank you ❤

how the pineapple pizza did i get here. why do i like it. i don't even know what is natural logarithm, i don't even know what is a logarithm. I think this is like philosophy, it doesn't have any practical purpose, the point is just going nuts. maybe that's why I like it.

@PrimeNewtons

7 ай бұрын

🤣🤣🤣🤣

before the video i had no clue about the lambert W function and thanks to you i know how to use it

You are very good teacher. Thanks.

This is the second of your videos I've watched. I love the mathematics, but must also say you have the cleanest blackboard I've ever seen. Which eraser do you use?

@PrimeNewtons

5 ай бұрын

Wow, thanks! I spray and wipe the board after every video with Arteza Chalkboard Cleaner. And I try to use good chalk too.

Funny and well explained ! You got a new subscriber !👍👍

Awesome explanation!! Subscribed!

Very intriguing and insightful! And the number at the end is ~2.7454

@asifkarim75

3 ай бұрын

My answer same

Love your videos ❤

Best math teacher ever!

It's a number between 2 n 3 something like 2.746^2.746 =16.02

@Contemptuously

6 ай бұрын

After poking at some numbers for quite a bit, I found out that x = 2.7453680235674634847098492895512

@lashido7218

6 ай бұрын

good boy @@Contemptuously

@Contemptuously

6 ай бұрын

@@lashido7218 ty, ty

@user-zt6hv2zx6z

4 ай бұрын

or e

Thank you, thank you, and thank you. Now at 66 year old age, I look with nostalgia, of university days. you gave me the appetite to go back to mathematics to keep my mind sharp.

I love the way this guy speaks about complex mathematics

Thank you. So pure and clear. i'm going to watch all video. (×=2,745...from wolfram mathematica calculator)

You are just a great teacher❤❤❤

You having too much fun. I do not always understand, but I like the passion.

Is there any derivation of this function..like can we calculate the value without calculator ...like Laplace function...?

@PrimeNewtons

7 ай бұрын

Yes. I'll do that in a future video.

Great video. I hope you open a merch store and sell your hats. Love the channel.

Thankyou so much, by looking at ur videos, now im able to get my X back.. ❤️

Parece um milagre de tão lógico. Uma lógica divina. Que maravilha!!!!

It's clearly between 2 and 3 on first estimation, and when I entered it in Wolfram, I got about 2.74. Very nice. I never spent any time on these in college.

so, how would i figure out W(n) with my normal calculator?

Well explained! Thanks very much. I would further appreciate it if the exact value could be provided. I attempted to get the value using wolfram calculator but was to no avail. Thanks.

Lovely way of presentation❤

I love your outro statement

alright everyone we call this the W function for a reason, because it's the winning function! jokes aside amazing and digestible for my rusted brain much appreciated!

You explain things n a very didactic way and I like your voice tone.

@anad8341

5 ай бұрын

What about x^x = 4^4, then x = 4?

I like all your ways ,really super top teacher

your writing is very pleasant to read

U are making maths more fun than ever for me

You make me want to learn math again.

Wow mannn you are a great teacher

Keep going!!

3:42 not withstanding the fact that your methods in previous clips were amazing I found that in this clip you disappointed me: today’s approach is very complicated and difficult to be “digested” by a lot of ordinary people. Your today’s work is addressed to highly specialized persons. While it is commonly known that similar problems should be “understandable” by most people. I hope you don’t consider my words as a negative criticism. Accept my sincerest regards

Nice Sir....

Does the rules of power work for vecteurs ?

Simply incredible

To find the W of (ln[16]), once we find the value of ln[16], we then need to find a value of ‘p’ such that (p)(e^p) = ln[16], where p = W(ln[16]) = x. So, then, how do we find p = x, where (p)(e^p) = ln[16] ?

great explanation

How do you calculate the omega funtion W(ln 16) ?

The graph of 𝔁 is a diagonal line like 𝔁=𝔂 the cool thing is θ𝓻=1 also -θ𝓻=1 are similar but -θ𝓻=1 is facing down

How man I enjoy every lesson ofyou

The Lambert W function master.

Can i ask how you one can know when and where to ise the Lambert W function?

just i found u ? i wish to know u before but i am happy now

What "annoys" me about a solution that relies on the W function is that finding a numeric solution is a pain. Looking at the original equation, it's obvious that x is between 2 and 3. This suggests that W(ln16) is close to 1.

Cool video.

Good lfrom Iraq Thank you

what about tetration 3? I mean X tetartion 3. is it somthing like that

I watch your videos from Mexico. You’re an excellent teacher.

@PrimeNewtons

6 ай бұрын

Thank you!

The answer can be a little bit simplified: exp(W(ln16)) = ln16 / W(ln16) 'cause W(ln16) * exp(W(ln16)) = ln16 by definition.

LN stands for natural log. For those who did not know what that meant.

Just saw your video about tetration lol

no way did i just learn how to use the lambert W function? wow

Your teachings are too W

@councilscarfgamer

5 ай бұрын

Thanks teacher

splendid

Just watched your video 8 month ago Ans 4?

Goid job

love you

@PrimeNewtons

7 ай бұрын

Love you too

i'm glad that i solved this on my own 😂

W function에 혼자 신난 모습이 경이롭다.. 전혀 쓸모없는 함수..

When I asked bing to solve for x in e^W(ln(16)) = x, it gave me the below steps and result. Is this correct? "Sure, I can help you with that. To solve for x, we need to use the inverse of the function eW(x), which is W(ln(x)). This means that we can apply W(ln(x)) to both sides of the equation and get: W(ln(eW(ln(16))))=W(ln(x)) Using the properties of logarithms and exponentials, we can simplify the left side as: W(ln(16)+W(ln(16)))=W(ln(x)) Since the Lambert W function is the inverse of yey, we can use the identity W(yey)=y to further simplify the left side as: ln(16)+W(ln(16))=W(ln(x)) Now, we can isolate W(ln(x)) by subtracting ln(16) from both sides and get: W(ln(16))−ln(16)=W(ln(x))−ln(16) Finally, we can use the inverse of the Lambert W function, which is yey, to solve for x by applying yey to both sides and get: (W(ln(16))−ln(16))eW(ln(16))−ln(16)=x This is the exact solution for x in terms of the Lambert W function. However, there is no closed formula for the numerical value of W(ln(16)), so we have to use a calculator or a numerical method to approximate it 1. One possible approximation is: W(ln(16))≈0.824511 Using this value, we can estimate x as: x≈(0.824511−ln(16))e0.824511−ln(16)≈0.000003 Therefore, the solution for x is approximately 0.000003. I hope this helps you understand how to solve equations involving the Lambert W function"

@Nightcrawler333

7 ай бұрын

As the above result didn't look right, I did this step by step. First I asked bing for the value of ln(16) and it gave me 2.77259 Then I asked for W(2.77259) and it gave me 0.852605. Then I asked for e^0.852605 and it gave me 2.34574958. Is this the correct result?

@tiborbogi7457

6 ай бұрын

@@Nightcrawler333 2.34574958^ 2.34574958=7,389040015 This is a bit few. I found nice result from: "@Contemptuously After poking at some numbers for quite a bit, I found out that x = 2.7453680235674634847098492895512 " Interesting how steep is x^x function.

I wish eddy murphy would go on SNL and do a skit based on his lessons.

new to this channel just discoveted there is tetration , i saw also in recomandation another called pentation . 😂

am i the only who thinks that knuth arrows notation looks better than the other notation

x=2.74537 naive numerical approximation with error 10^-5

I was following until the last three lines. In the penultimate line, you seemed to have lost x which we know is e^ln(x). Help😅

I thought the inverse of tetration was the Super Logarithm (slog).

Alpha and Omega...did I solve correctly?

Around 6 mins in, could you not have just risen e to the power of both sides? Like e^(xlnx)=e(ln16)?

@PrimeNewtons

5 ай бұрын

I'm sure there are alternative ways. Sometimes, I just don't see them.

If it was ³X, this would have been so quick

wow ..

🎉🎉🎉

I bet little Timmy’s are gonna be bombarding you going UhM AChsUaLlY iTs NoT 2!!!11!!

2:2^^2=2^(2^2)=2^4=16

nice