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Rated: 18+ · Book · Personal · #1196512
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.




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#1696. Fence
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#1694. When The Passive Voice Is Used
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#1693. Acoustic Annoyances
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#1692. More Cracked Pots
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#1690. Whipshrek
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#1689. Narcissists
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#1687. Race to the Bottom
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#1686. In the Past
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#1683. Fun Guy
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#1682. Tales from the Cryptid
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#1681. Pronoun Pronouncement
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#1680. If You Choose Not To Decide, You Still Have Made A Choice
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#1679. Evolving Door
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#1678. Tower
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#1677. Chill
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#1676. Wit's Beginning
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#1675. Pennies from Hell
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#1674. No Choice
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#1673. Star Start
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#1672. Disappointment?
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#1671. Numbers, Not Even Complex Ones
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#1670. Dread
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#1669. Plus C'est la Même Chose
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#1667. The Price You Pay
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#1666. System Shock
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#1665. Indulge Me
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#1664. And Justice for Some
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#1663. We Hold These Truths
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#1662. Rant Mode On
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#1661. Deep Dive
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#1660. Politics
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#1659. Just Commit Already
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#1655. Done
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