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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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#2918. Neutral Zone
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#2917. To Err Is Human
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#2916. Five Seconds
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#2915. Disorder Up!
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#2914. Need for Speed
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#2913. Fork You Too
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#2912. Revisited: "Those Naughty Brits"
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#2911. Fruits of Our Labors
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#2910. Five
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#2909. Life Is
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#2908. On the Label
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#2907. Gilgamash
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#2906. Analog Log
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#2905. Revisited: "Millennials Killed Millennials"
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#2904. Story of the Century
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#2903. No Space for Time
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#2902. How To Give A Fock
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#2901. Brainy Day Blues
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#2900. Coasting Along
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#2899. The Sans of Time
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#2898. Revisited: "Useless"
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#2897. Tongue-Tied
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#2896. Shroom with a View
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#2895. Trolley Pop
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#2894. Son of an Itch
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#2893. Inevitable Two
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#2892. A Touch of Gray
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#2891. Revisited: "Plus Ça Change..."
ID #1080425 entered on November 24, 2024 at 9:37am
#2890. Pursuit
ID #1080374 entered on November 23, 2024 at 9:09am
#2889. Quoth the Singer, "Evermore."
ID #1080330 entered on November 22, 2024 at 8:03am
#2888. Experimental Metaphysics
ID #1080285 entered on November 21, 2024 at 10:23am
#2887. Powers of Three
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#2886. Paramount Purpose
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#2885. Losing Weight Is Easy
ID #1080127 entered on November 18, 2024 at 10:25am
#2884. Revisited: "A Frank Discussion"
ID #1080079 entered on November 17, 2024 at 7:37am
#2883. Barley There
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#2882. That's the Spirit
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#2881. Global Domination
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#2880. Out and Invention
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#2879. Blond Man's Bluff
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#2878. What Is the Meaning of This?
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#2877. Revisited: "Worst Year Ever"
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#2876. It Was a Dark and Starry Night
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#2875. Bungalow Bash
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#2874. Past and Future Intents
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#2873. Lo!
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#2872. Anomalies
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#2871. It's Hard Not To Scare
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#2870. Revisied: "Inevitable"
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#2869. She Said Spatchcock
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#2868. Cave In
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#2867. Phases
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#2866. We're Not Wordy
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#2865. The Numbers Don't Lie
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#2864. Waste Not
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#2863. Revisited: "Stylish"
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#2862. Moon Illusion
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#2861. Pass da Pasta
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#2860. A Winner's Tale
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#2859. Known Unknowns
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#2858. Stark and Dormy
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#2857. Mything the Point
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#2856. Revisited: "Unlucky"
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#2855. But What I Want Is Cheesecake
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#2854. Lithium
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#2853. Pros and Contrails
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#2852. Can We?
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#2851. Pushing the Button
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#2850. DeTECHtion
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#2849. Revisited: "I Wood Knot"
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#2848. A Few Observations
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#2847. Beersday
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#2846. Over and Out
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#2845. What a Pisser
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#2844. Gotta Hand It To Them
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#2843. Brewgge
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#2842. Like a Bosteels
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#2841. It Was Just Waffle
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#2840. Coats Do What Now?
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#2839. Beaujolais
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#2838. Enough With the Rain, Already
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#2837. Lyon Sleeps Tonight
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#2836. Owl Miss This Place
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#2835. Bad to the Beaune
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#2834. To the East
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#2833. Bibo Ergo Sum
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#2832. Two Castles and a Cave
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#2831. There Is A Such Thing As Coincidence
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#2830. All Out of Louvre
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#2829. Bière Snob
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#2828. Landmarks
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#2827. Paris, I Guess
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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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