Never heard of this function, super interesting as always! Because you mentioned getting only approximate solutions with other ways, is it possible to get the exact x-values for functions like the glog or the lamber-W function? Because it seems to me that we can't find an inverse for them so that we could solve for x
Thank you :) yes...there are some values of the Lambert W Function easy to compute, like W(e),W(0), W(-1/e), W(-1/2ln2)...glog(e), glog(-1/e),...so for some values of LWF and glog function you can get exact x values, but for other values which are not that easy to compute you have to approach it differently.
Rewrite the RHS as m(x-a). Now LHS= 16^a * 16^(x-a). By modifying m, LHS can equal 16^(x-a), RHS can equal m*ln(16)*(x-a). Now using glog, it's all very easy.
Thanks for posting a video about glog. In theory, the glog function really unlocks certain equations. For years, I have been experimenting with the Colebrook friction factor equation. Clearly, an ideal candidate for glog. x = -2 log(a + bx) .............. (1) BUT, there is some big questions. 1. How do you calculate the glog(value)? It's not in the Python scipy package. 2. The glog(v) would probably be iterative. So how is this better than calculating eqn (1) directly? I calculated eqn (1) iteratively by Newton and also using a Lambert W function correlation. In a simple timing test, the direct solution was about 4 times faster than the scipy LambertW.
I admit it's hard to find, just dig deeper on the net. I accidentally found it while researching the Lambert W Function. But, I will definitely make a few more videos about the glog function, how to solve the exponential linear equation using the glog function, etc.
@@intellecta2686 thank you for your reply, also, could you please make a tutorial on how to solve the equation x^x^x=45 or any integer number. or i could stay x to the hyperpower of 3
This function is pretty useless since it can be expressed in lambert w function, (e^x)/x = y e^x = xy 1/y = x e^(-x) -1/y = -x e^(-x) W(-1/y) = -x -W(-1/y) = x I have nothing against it if someone uses it in their article to make the calculations clearer, but why screw up math with such usless functions.
@@intellecta2686 i am from australia, but i currently learn russian and i noticed that russian and crotian have very similar words, such as for the word for corn, in russian, they say (кукуруз)Kukurùz
@@pixelninja5766 Yes, these are Slavic languages, very similar. Only we do not write in Cyrillic but in Latin. I learned Cyrillic at school, but mostly forgot. But when the Russians talk I understand a lot. Great to learn russian 👍👍👍
For the Lambert W Function go to:
th-cam.com/video/nY7Y01oH0z8/w-d-xo.html.
Have a great day 🌞
We can easily notice the Lambert w function is correlated with glog function by following formulas:
1) w(x)=-glog(-1/x)
2) glog(x)=-w(-1/x)
Nice, Thanks! Too bad the yt app doesn’t let me copy text
Thanks Sis for this function
Loving your videos! They're amazing!
Thank you very much!
Never heard of this function, super interesting as always!
Because you mentioned getting only approximate solutions with other ways, is it possible to get the exact x-values for functions like the glog or the lamber-W function? Because it seems to me that we can't find an inverse for them so that we could solve for x
Thank you :) yes...there are some values of the Lambert W Function easy to compute, like W(e),W(0), W(-1/e), W(-1/2ln2)...glog(e), glog(-1/e),...so for some values of LWF and glog function you can get exact x values, but for other values which are not that easy to compute you have to approach it differently.
log (x) is a spesial case of glog(x)?
Not really
Interesting. But how the example at 1:21 is solved?
Rewrite the RHS as m(x-a). Now LHS= 16^a * 16^(x-a). By modifying m, LHS can equal 16^(x-a), RHS can equal m*ln(16)*(x-a). Now using glog, it's all very easy.
I am not a maths student but i watch all your videos and don't forget to like.
Thanks a lot, that's nice to hear. Thanks also for commenting 🙂
No sabia de esta función gracias por darnos a conocerla.
Thanks for all;have a better year;regards from Buenos Aires;Argentina.
no sabia que el idioma de Argentina es el ingles, me contaron mal la historia
Thanks for posting a video about glog.
In theory, the glog function really unlocks certain equations.
For years, I have been experimenting with the Colebrook friction
factor equation. Clearly, an ideal candidate for glog.
x = -2 log(a + bx) .............. (1)
BUT, there is some big questions.
1. How do you calculate the glog(value)? It's not in the Python
scipy package.
2. The glog(v) would probably be iterative.
So how is this better than calculating eqn (1) directly?
I calculated eqn (1) iteratively by Newton and also using a
Lambert W function correlation. In a simple timing test, the direct solution
was about 4 times faster than the scipy LambertW.
So its the unique solution to the IVP
y'+y/x = y, y(e)=1 on the positive real interval.
where can i find information on this function?
On this channel 😄
@@intellecta2686 like mor einformation
I admit it's hard to find, just dig deeper on the net. I accidentally found it while researching the Lambert W Function. But, I will definitely make a few more videos about the glog function, how to solve the exponential linear equation using the glog function, etc.
@@intellecta2686 thank you for your reply, also, could you please make a tutorial on how to solve the equation x^x^x=45 or any integer number. or i could stay x to the hyperpower of 3
@@pixelninja5766 I already planned one such video after I finish the glog function. Thanks for the suggestion, I'm glad you're interested.
むうう？ 途中から着いて行けなくなったぞ！？🤔😲😭
GLOG難すぃね
This function is pretty useless since it can be expressed in lambert w function,
(e^x)/x = y
e^x = xy
1/y = x e^(-x)
-1/y = -x e^(-x)
W(-1/y) = -x
-W(-1/y) = x
I have nothing against it if someone uses it in their article to make the calculations clearer, but why screw up math with such usless functions.
How to do the integral of Lambert function?
I will definitely consider it for the video, thank you.
Calculate its derivative implicitly and then do a usub?
I came here looking for now function, for me I m looking for function f(f(x))=sinx, exp_x and log_x,
математика это сила!!!
What does it mean? :)
@@intellecta2686 i thought you were russian?
@PixelNinja heheh no, I am Croatian living in Germany. :)
@@intellecta2686 i am from australia, but i currently learn russian and i noticed that russian and crotian have very similar words, such as for the word for corn, in russian, they say (кукуруз)Kukurùz
@@pixelninja5766 Yes, these are Slavic languages, very similar. Only we do not write in Cyrillic but in Latin. I learned Cyrillic at school, but mostly forgot. But when the Russians talk I understand a lot. Great to learn russian 👍👍👍
Can I send you a personal message
Hello my friend. I just knew x would = e raised to y over y. ☺️ haha
😅
I love you 😘