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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. Two Thumbs Up | ID #677249 |
| Posted: 11-22-2009 @ 8:39 pm EST | |
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I had the good fortune to watch two good movies over the weekend, one on DVD and the other in a theater. (A theater is a place where you go to watch movies before they show up on Netflix. You get to watch it on an enormous screen with wraparound sound, and observe the reactions of the two other people in the theater.)
(That is, Elijah Wood and Eugene Hutz.) It's an art flick, so no explosions or boobies, but still a great flick. The theater one is worth seeing in the theater, or you can wait for DVD, but it's definitely worth watching. And the soundtrack is amazing. Pirate Radio Go see it if you get the chance, especially if you love music. | |||||||