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What made you interested in plotting x * y, and why wouldn't f(.25,.75) = f(.75,.25) ?
You can start here:
Can you point me to a link to read more about this subject?
The exclamation point IS factorial
It looks quite strange, but actually it's one of the most inportant functions in the contemorary mathematics. There's an equation that connects it with the factorial:
But Г is defined over all complex numbers. So that's the generalization of the factorial over the complex numbers.
But there's another too. It may be complex for some arguments so it's plot is 4d: 1 dimention for x, 1 for y, 1 for u and 1 for v, where
That's why there 2 plots for my function: 1 for the real part of the rezult: Re(Г(xy+1)) and one for the imagineric: Im(Г(xy+1))
What does the Capital Gamma letter mean?
Very nice plots
Then the immagineric part is ostilating too.
Here's another: when x and y are negative the real part becomes to ostilate:
And my question: why this foundamental function is so complicated?
And here's the imaginery part:
Here's some 3d:
Here's some plot:
Here's some very interesting function:
I'm making plots now.
It's pity that I can't upload 3D .vrml format in the forum.