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| >> Book >> Personal >> ID #1196512 |
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| Complex Numbers A complex number is expressed in the standard form a + bi, where a and b are real numbers and i is defined by i^2 = -1 (that is, i is the square root of -1). For example, 3 + 2i is a complex number. The bi term is often referred to as an imaginary number (though this may be misleading, as it is no more "imaginary" than the symbolic abstractions we know as the "real" numbers). Thus, every complex number has a real part, a, and an imaginary part, bi. Complex numbers are often represented on a graph known as the "complex plane," where the horizontal axis represents the infinity of real numbers, and the vertical axis represents the infinity of imaginary numbers. Thus, each complex number has a unique representation on the complex plane: some closer to real; others, more imaginary. If a = b, the number is equal parts real and imaginary. Very simple transformations applied to numbers in the complex plane can lead to fractal structures of enormous intricacy and astonishing beauty. |
| 1. Sniff | ID #674783 |
| Posted: 11-4-2009 @ 10:39 pm EST | |
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So, let's get back to Music that I Like for an entry. Bonus: The lead singer, Paul Roberts, is also an accomplished painter. Most of their album covers, he painted. Here's a link to his art (WARNING! Artistic nudity): http://www.paulrobertspaintings.co.uk/ This one, especially, I don't know why it's not hanging in my house RIGHT THE HELL NOW (no nudity in this one; just awesomeness): http://www.paulrobertspaintings.co.uk/%2700%20-%20%2705/Red%20Riding%20Hood.html... So anyway, there's my Obscure British Band for the day. |