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Not for the faint of art. |
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. |
All this ranting makes me stressed. And I know a good way to relieve stress. No, not that. No, not that either. Gods... get your minds out of the gutter. I'm talking about this: https://mynoise.net/NoiseMachines/catPurrNoiseGenerator.php If you're fortunate enough to be owned by a cat, maybe you don't need it. Also, it's one of the few places on the internet where it's probably okay to read the comments. That site, incidentally, has other sounds you might find useful. |