"Sniff, It's so... Beatutiful!!!" |
|
Complex numbers |
|
Xaqaria
The planet Earth exhibits all of these properties and therefore can be considered alive and its own single organism by the scientific definition.does the planet Earth reproduce, well no unless you count the moon.7. Reproduction: The ability to produce new organisms.
"Sniff, It's so... Beatutiful!!!" |
|
I am the Alpha and the Omega, the First and the Last, the Beginning and the End. I am the Resurrection and the Life.
I am the Light at the End of the Tunnel.
Rimor Somnium Universitas
It is pretty wonderful. |
|
Oooh... try drawing f(x) = (-1)^x. |
|
I think he means graphing it on a line. |
|
I am the Alpha and the Omega, the First and the Last, the Beginning and the End. I am the Resurrection and the Life.
I am the Light at the End of the Tunnel.
Rimor Somnium Universitas
Yeah, but I don't know how you draw it on a graph. What if you get f(0.5)=(-1)^0.5 How do you draw this? |
|
Last edited by Bonsay; 03-19-2009 at 08:41 PM.
You need to know Euler's relationship (that the OP was talking about) to be able to do it. |
|
Yeah; it's neat if you consider how this relates to trying to plot the function in 2D. The only answers you can get normally are integer powers of -1, where even powers are 1 and odd powers are -1. If you visualise the 3D answer, you can see that these few real answers are simply where the graph intersects the plane of the paper. |
|
Which program are you using? (Unless you're one of those savants who visualize it all.) It might be smart to get one |
|
e^(i*pi) = -1 is my favourite formula! Although it took me a while to get my head round it at first. |
|
Bookmarks