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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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#2826. Get Baked
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#2825. Bad Science
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#2824. It Came From Outer Space
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#2823. Uncovered
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#2822. Two Much
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#2821. Revisited: "Gotta be Aliens"
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#2820. One Thing In Common
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#2819. Journey Man
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#2818. Deep Gruits
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#2817. Drop and Gimme Twenty
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#2816. Hush, It's a Secret
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#2815. Time Out
ID #1076518 entered on September 9, 2024 at 9:39am
#2814. Revisited: "Orange You Glad This Wasn't You?"
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#2813. Spit in the Ocean
ID #1076413 entered on September 7, 2024 at 7:20am
#2812. Secretion
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#2811. Writing It Off
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#2810. Isn't It Draconic?
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#2809. To Love Until I Laugh
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#2808. To Live Until I Die
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#2807. Four and Twenty
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#2806. Revisited: "Meet George Jetson"
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#2805. Floury Language
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#2804. Moon Time
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#2803. Fact-Ory
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#2802. They Invented It; We Perfected It
ID #1075789 entered on August 27, 2024 at 11:01am
#2801. Literally the Opposite
ID #1075731 entered on August 26, 2024 at 10:30am
#2800. Revisited: "Journeys"
ID #1075694 entered on August 25, 2024 at 9:46am
#2799. Finally!
ID #1075658 entered on August 24, 2024 at 11:39am
#2798. Unsolved, Unresolved
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#2797. Got Nothing
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#2796. Les Lois Bizarres
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#2795. Some Clouds Are Just Clouds
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#2794. List-erine
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#2793. Revisited: "Challenge Complete"
ID #1075432 entered on August 18, 2024 at 10:39am
#2792. Alt-Tablet
ID #1075381 entered on August 17, 2024 at 8:48am
#2791. Cave People
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#2790. If Not for That...
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#2789. Cat Astrophe
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#2788. Cracking the Code
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#2787. Lost Soles
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#2785. One Month
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#2784. Leave Me Alone
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#2783. Iraq, A Hard Place
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#2782. I Kid You Not
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#2781. Hall of Fame
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#2780. Mach It So
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#2779. Revisited: "NaNomaterials"
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#2778. What a Pain
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#2777. Don't Bank On It
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#2776. Help Yourself
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#2775. Forgotten Food
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#2774. The Habits of Nones
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#2773. Unpredictable
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#2772. Revisited: "The Truth is Out There"
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#2771. Still Planning
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#2770. Unbelievable?
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#2769. Let Me Give You a Hand
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#2768. It's Out There
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#2767. Holy of Holies
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#2766. Waxy Scaley
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#2765. Revisited: "Smiley"
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#2764. Didn't Plan on That
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#2763. Living in DeNile
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#2762. All In a Row
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#2760. Stockholm Syndrome
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#2759. Pray Tell
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#2758. Revisited: "More On Philosophy"
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#2757. Surprise Me
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#2756. Arsenic and Old Rice
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#2755. We'll Always Have Paris
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#2754. Phrase Turner
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#2753. Seoul Blues
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#2752. Playing Chicken
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#2751. Revisited: "The End is Nigh"
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#2750. Down in the Valley
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#2749. It's Called 'Fiction' For a Reason
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#2748. He Said, Archly
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#2747. A Bridge Too Far
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#2746. Imma Let You Finish, But...
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#2745. Pedantonyms
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#2744. Revisited: "Rock you like a..."
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#2743. Je Voyagerai
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#2742. It Ain't Wrong
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#2741. Wave Rider
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#2740. The Oz Hypothesis
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#2738. Sadistics
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#2737. Revisited: "Experience"
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#2736. Discomfort Zone
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#2735. Cool Rockin' Daddy
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#2734. A Midsummer Daydream
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#2733. Matters of the Heart
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#2732. Luna Ticks
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#2731. I Want It To Work, But...
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#2730. Revisited: "A Whole Lotto Nonsense"
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#2729. My Way or the High Way
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#2728. And Time Again
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#2727. Curse-ive
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