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| >> Book >> Personal >> ID #1196512 |
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| 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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#689. Damn close.
#688. Some Assembly Required
#687. Doomed.
#686. I'm thinking No.
#685. Hey, Hey, My, My
#684. Epiphany
#683. Stikraken
#682. :-(
#681. Complex Numbers
#680. March
#679. Pat the Zombie
#678. Better
#677. Doomsday
#676. There Is Hope
#675. Unclear On The Concept
#674. Sunny Virginia
#673. Back
#672. Sad News
#671. It Really Works
#670. More Proof...
#669. The End
#668. Eclipse
#667. My new favorite Christmas song
#666. Things to Cross Off Bucket List
#665. Vegas, baby!
#664. On A Jet Plane
#663. Iconoclasm
#662. Fun Game
#661. So much for THAT
#660. Second Thoughts
#659. Blood Moon
#658. Wing Man...
#657. I can TOO be social.
#656. Vote!
#655. The Worst Day Since Yesterday
#654. Darkness on the Edge of Town
#653. Costume
#652. Comedy Genius
#651. Calvin and Hobbes
#650. Pass Me By
#649. Equinox
#648. Take This Waltz
#647. Another Concert
#646. Alcohol
#645. On a serious note...
#644. Six Years
#643. Not My Fault
#642. Wheels
#641. Shine On You Crazy Diamond
#640. Love is not a victory march
#639. For Calvin & Hobbes fans
#638. I Was Made for You
#637. Lost in the Flood
#636. Never the Twain
#635. EPIC WANT
#634. One pill makes you larger
#633. Glad I'm not Walter
#632. Nothing's unforgiven in the four corners of Hell
#631. Took the train down to Athens
#630. It's a busy life in Camelot
#629. Cheap Plastic Buddha
#628. And My Machine, She's a Dud
#627. Sitting in my Tin Can
#626. Don't Look Back
#625. This Song's Just Six Words Long
#624. And if your head explodes with dark forbodings too
#623. Is This Thing On?
#622. The Light that Never Warms
#621. I like to think I can be so willed
#620. All Your Sanity and Wits, They Will All Vanish...
#619. Goals
#618. Enjoy this Christmas
#617. A Dish Best Served Cold
#616. Something about Snow
#615. 50 questions
#614. Wrongness
#613. It's Time For...
#612. No.
#611. Run Like Hell
#610. There's a pill for that.
#609. New Year's Eve
#608. Gift Ideas
#607. This is It
#606. No Thanks
#605. Two Thumbs Up
#604. Cat stuff
#603. You're Putin me on
#602. Sniff
#601. Need a Laugh?
#600. The Advantage of Marriage
#599. NaNo?
#598. Born a 13th Child
#597. Backwards
#596. Penance
#595. It was inevitable.
#594. Epic Fail
#593. No, seriously, it really DOES suck.
#592. Tickets!
#591. It bears repeating.
#590. Health |