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  Discussion about math, puzzles, games and fun.   Useful symbols: √ ∞ ≠ ≤ ≥ ≈ ⇒ ∈ Δ θ ∴ ∑ ∫ π -

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Topic review (newest first)

krassi_holmz
2006-03-05 20:01:26

???
I don't know.
I'll see.
Very interesting argument.

John E. Franklin
2006-03-05 05:35:08

What made you interested in plotting x * y, and why wouldn't f(.25,.75) = f(.75,.25) ?
x * y = y * x, so where is your line of symmetry (y=x)?

krassi_holmz
2006-03-04 18:31:47

You can start here:
Wikipedia

John E. Franklin
2006-03-04 14:30:54

Can you point me to a link to read more about this subject?
I feel kind of dumb looking at this.

krassi_holmz
2006-03-04 07:20:06

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:
Г(k+1)=k!
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
Г(x+iy)=u+iv.
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))

John E. Franklin
2006-03-04 03:15:14

What does the Capital Gamma letter mean? 
   Is it a product repeated with integers?  If so, why are the plots continuous?

What does the exclamation point mean?
  Is it factorial?

MathsIsFun
2006-03-03 23:32:30

Very nice plots

krassi_holmz
2006-03-03 22:43:21

Then the immagineric part is ostilating too.

krassi_holmz
2006-03-03 22:41:04

Here's another: when x and y are negative the real part becomes to ostilate:

krassi_holmz
2006-03-03 22:38:32

And my question: why this foundamental function is so complicated?

krassi_holmz
2006-03-03 22:36:07

And here's the imaginery part:

krassi_holmz
2006-03-03 22:33:17

Here's some 3d:

krassi_holmz
2006-03-03 22:29:18

Here's some plot:

krassi_holmz
2006-03-03 21:53:26

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.

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