One for JimC ...

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One for JimC ...

Post by Calilasseia » Mon Dec 09, 2013 1:33 am

I recently encountered something you might be interested in, Jim. The Lambert W function. Now there's something to torment your calculus classes with. :mrgreen:

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Re: One for JimC ...

Post by JimC » Mon Dec 09, 2013 1:44 am

I just looked it up on Wiki - fascinating, but it made my head hurt. Very interesting example of using colour to show how the function(s) behave on the Argand Plane...

Definitely uni level material - our guys doing the full maths course certainly delve into complex numbers and inverse relations, but that exemplar, containing both, would be a bridge too far. This summer, I should take 3 or 4 examples like this, of branches of maths I have never explored, and see if I can get the hang of them properly.

Thanks for the heads-up! :tup:
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Re: One for JimC ...

Post by pErvinalia » Mon Dec 09, 2013 3:17 am

Geeks. :nono:
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Re: One for JimC ...

Post by JimC » Mon Dec 09, 2013 3:41 am

Beware Geeks bearing gifts...
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Re: One for JimC ...

Post by Calilasseia » Mon Dec 09, 2013 5:51 pm

I'm congratulating myself on having worked out how to derive the differential equation and the integral from first principles. :mrgreen:

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Re: One for JimC ...

Post by Clinton Huxley » Mon Dec 09, 2013 6:01 pm

The long winter evenings must just fly by :)
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AND MERRY XMAS TO ONE AND All!

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Re: One for JimC ...

Post by Xamonas Chegwé » Mon Dec 09, 2013 6:05 pm

Calilasseia wrote:I'm congratulating myself on having worked out how to derive the differential equation and the integral from first principles. :mrgreen:
By "the differential equation" I am assuming you mean derivative?

Deriving the derivative of a polynomial from first principles is pretty simples. Trig functions range from tricky to "How the fuck did anyone think of doing it that way?!!"

Similarly with integrals, although they are, in general, ALL quite a bit tougher.
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Re: One for JimC ...

Post by Calilasseia » Mon Dec 09, 2013 6:38 pm

Trouble is XC, you're not dealing with a polynomial here. You're dealing with a function in the complex plane that has no closed form representation in the independent variable. And what's more, unless you know the tricks, it's a bastard to handle.

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Re: One for JimC ...

Post by Xamonas Chegwé » Mon Dec 09, 2013 6:57 pm

Calilasseia wrote:Trouble is XC, you're not dealing with a polynomial here. You're dealing with a function in the complex plane that has no closed form representation in the independent variable. And what's more, unless you know the tricks, it's a bastard to handle.
Oh, you're still talking about the W function. :doh:
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Re: One for JimC ...

Post by pErvinalia » Tue Dec 10, 2013 1:02 am

Geeks. :nono:
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Re: One for JimC ...

Post by mistermack » Tue Dec 10, 2013 11:33 am

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