mabauti
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Lambert W *edit*
How are these numbers calculated let's say W(5.67)
How are these numbers calculated let's say W(5.67)
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Lambert W Function: Calculate W(5.67)
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Welcome to PF, mabauti! 
You can calculate W(5.67) for instance with WolframAlpha:
http://www.wolframalpha.com/input/?i=W(5.67)W can only be calculated by a numerical algorithm.
The Wolfram article about the Lambert W function gives a couple of series expansions that you can use:
http://mathworld.wolfram.com/LambertW-Function.htmlYou could also approximate it with for instance the Newton-Raphson method with ##f(x)=xe^x - 5.67=0##.
That is: ##x_{k+1}=x_k - {f(x_k) \over f'(x_k)}##.
Start with ##x_0=2## and you should be able to find your result to an arbitrary precision within a couple of iterations.
You can calculate W(5.67) for instance with WolframAlpha:
http://www.wolframalpha.com/input/?i=W(5.67)W can only be calculated by a numerical algorithm.
The Wolfram article about the Lambert W function gives a couple of series expansions that you can use:
http://mathworld.wolfram.com/LambertW-Function.htmlYou could also approximate it with for instance the Newton-Raphson method with ##f(x)=xe^x - 5.67=0##.
That is: ##x_{k+1}=x_k - {f(x_k) \over f'(x_k)}##.
Start with ##x_0=2## and you should be able to find your result to an arbitrary precision within a couple of iterations.
mabauti
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great.
thanks ILS =D
thanks ILS =D