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Complex Numbers
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.
January 8, 2008 at 7:59pm January 8, 2008 at 7:59pm
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Well, my creationism rant inspired some comments, but not nearly the shitstorm I feared. Thank you for that.
I did want to make clear, though, that my rant about creation "science" is not about Christians in general - in other words, I'm not attacking faith, but opinion.
I responded to someone in a private email a clarification that I'll paste here (in edited form):
I hope you don't think I'm painting all Christians with the same brush; I'm not. While it's true that the intolerant ones tarnish the image of the whole group, that's the case for every group. When it comes to people, I relate based on what I see of them, not their stated religion - because, too often, the two are contradictory.
Young-Earth Creationists, on the other hand, uniformly annoy me. Not because of their religion (technically, they don't have to be Christian, but I've never heard of a Jewish YEC, despite drawing from the same Book), but because they're willfully blind to evidence - or, worse, twist it to suit themselves.
The way I see it, it makes no difference in the grand scheme of things whether one believes that God directed evolution or whether it was the result of billions of years of environmental pressures. What does make a difference is the "billions of years" versus "a few thousand years" thing. The latter ignores centuries of rigorous intellectual study of, if you will, God's creation (or nature, if you won't), pretty much throwing most of science out the window.
And that offends me.
That's the last word on it from me - at least for now.
But let's see what Wired Magazine has to say:
http://blog.wired.com/wiredscience/2008/01/evolution-is-no.html
In science, being a "theory" is not a step below a "law." The "Theory of Relativity" by Albert Einstein is not waiting for its day in court when it graduates to "fact." |
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