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May 29, 2012
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Content Rating Notice:  Recommended for Readers 18 Years and Older Only
  >> Book >> Personal >> ID #1196512  |   Show DetailsPrinter Friendly Page Tell A Friend
Complex Numbers
Not for the faint of art.
Rated:
18+
by
Avg Rating: (25)
 
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.


There are 689 visible Entries. Viewing page 7 of 7 with 100 per page.
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#89. The Pursuit of WHAT?
---->> ID #500642 entered on 04-09-07 @ 7:17 pm EDT

#88. This is only a Tesla...
---->> ID #500580 entered on 04-09-07 @ 12:52 pm EDT

#87. Advice
---->> ID #499967 entered on 04-06-07 @ 12:18 pm EDT

#86. Been busy...
---->> ID #499803 entered on 04-05-07 @ 5:08 pm EDT

#85. Point of View
---->> ID #499153 entered on 04-02-07 @ 6:10 pm EDT

#84. So, Waltz, how was the Meat Loaf concert?
---->> ID #499008 entered on 04-01-07 @ 10:40 pm EDT

#83. I'm Off!
---->> ID #498517 entered on 03-30-07 @ 12:25 pm EDT

#82. Return of the Tunage!
---->> ID #498158 entered on 03-28-07 @ 5:58 pm EDT

#81. Debt is Bad, mmmkay?
---->> ID #497778 entered on 03-26-07 @ 6:04 pm EDT

#80. Not Optional Equipment
---->> ID #497593 entered on 03-25-07 @ 9:24 pm EDT

#79. Beer... Is there anything it can't do?
---->> ID #497238 entered on 03-23-07 @ 7:05 pm EDT

#78. Victory!
---->> ID #496944 entered on 03-22-07 @ 5:36 pm EDT

#77. Amusements and Diversions
---->> ID #496519 entered on 03-20-07 @ 6:00 pm EDT

#76. Public Service Announcement
---->> ID #495766 entered on 03-17-07 @ 4:41 pm EDT

#75. Geek Dreams
---->> ID #495544 entered on 03-16-07 @ 4:33 pm EDT

#74. Pi day
---->> ID #495175 entered on 03-14-07 @ 9:18 pm EDT

#73. This explains it!
---->> ID #494587 entered on 03-12-07 @ 6:50 pm EDT

#72. I want.
---->> ID #493824 entered on 03-09-07 @ 11:05 pm EST

#71. International Women's Day
---->> ID #493511 entered on 03-08-07 @ 4:50 pm EST

#70. Mad Cow
---->> ID #493266 entered on 03-07-07 @ 8:49 pm EST

#69. Great Game Concept
---->> ID #493052 entered on 03-06-07 @ 10:06 pm EST

#68. And the Winner is...
---->> ID #492758 entered on 03-05-07 @ 6:35 pm EST

#67. Too Much
---->> ID #492476 entered on 03-04-07 @ 8:42 pm EST

#66. The antidote
---->> ID #492172 entered on 03-03-07 @ 8:15 pm EST

#65. Something that's been bugging me...
---->> ID #491840 entered on 03-02-07 @ 5:26 pm EST

#64. Fourteen Thousand?
---->> ID #491520 entered on 03-01-07 @ 3:26 pm EST

#63. Twice in a Blue Month
---->> ID #491315 entered on 02-28-07 @ 8:04 pm EST

#62. Disturbed
---->> ID #491047 entered on 02-27-07 @ 7:57 pm EST

#61. Disinspired
---->> ID #490805 entered on 02-26-07 @ 5:28 pm EST

#60. Sunday already?
---->> ID #490582 entered on 02-25-07 @ 6:40 pm EST

#59. This is not the blog entry you're looking for.
---->> ID #490291 entered on 02-24-07 @ 12:23 pm EST

#58. Conned!
---->> ID #490176 entered on 02-23-07 @ 7:55 pm EST

#57. Shocking!
---->> ID #489876 entered on 02-22-07 @ 12:50 pm EST

#56. Aagh! Math!
---->> ID #489590 entered on 02-21-07 @ 4:51 pm EST

#55. Let there be LIGHT!
---->> ID #489372 entered on 02-20-07 @ 5:13 pm EST

#54. Writing Workshop, Week 4
---->> ID #489147 entered on 02-19-07 @ 5:24 pm EST

#53. Culture Shock
---->> ID #488957 entered on 02-18-07 @ 9:01 pm EST

#52. Plotting Laziness
---->> ID #488751 entered on 02-17-07 @ 8:02 pm EST

#51. February
---->> ID #488514 entered on 02-16-07 @ 5:29 pm EST

#50. Going Dutch
---->> ID #488320 entered on 02-15-07 @ 5:20 pm EST

#49. You heart WHAT??
---->> ID #488090 entered on 02-14-07 @ 5:09 pm EST

#48. Ice, ice, baby
---->> ID #487825 entered on 02-13-07 @ 4:13 pm EST

#47. Kids do the darnedest things!
---->> ID #487524 entered on 02-12-07 @ 6:25 pm EST

#46. So what's the point?
---->> ID #487313 entered on 02-11-07 @ 8:45 pm EST

#45. Not an Option
---->> ID #487120 entered on 02-10-07 @ 10:22 pm EST

#44. It's about that time...
---->> ID #486866 entered on 02-09-07 @ 5:07 pm EST

#43. Comedy
---->> ID #486608 entered on 02-08-07 @ 3:55 pm EST

#42. Browbeaten
---->> ID #486430 entered on 02-07-07 @ 7:40 pm EST

#41. Breaking the Rules
---->> ID #486198 entered on 02-06-07 @ 6:57 pm EST

#40. Anyone else figure this out yet?
---->> ID #485893 entered on 02-05-07 @ 10:56 am EST

#39. Trust me!
---->> ID #485780 entered on 02-04-07 @ 9:41 pm EST

#38. One Thousand Blog Views
---->> ID #485737 entered on 02-04-07 @ 5:16 pm EST

#37. Close Call
---->> ID #485549 entered on 02-03-07 @ 10:28 pm EST

#36. Review review
---->> ID #485191 entered on 02-02-07 @ 12:57 pm EST

#35. More On Philosophy
---->> ID #484943 entered on 02-01-07 @ 12:50 pm EST

#34. A Life I Wanna Start
---->> ID #484733 entered on 01-31-07 @ 3:29 pm EST

#33. The Father of Invention
---->> ID #484463 entered on 01-30-07 @ 12:29 pm EST

#32. I really should get...
---->> ID #484280 entered on 01-29-07 @ 12:29 pm EST

#31. When does loss become gain?
---->> ID #484155 entered on 01-28-07 @ 7:07 pm EST

#30. Procrastination
---->> ID #483977 entered on 01-27-07 @ 7:21 pm EST

#29. No! Anything but THAT!
---->> ID #483765 entered on 01-26-07 @ 12:54 pm EST

#28. The Pursuit of Sex
---->> ID #483567 entered on 01-25-07 @ 2:11 pm EST

#27. The Pursuit of Happiness
---->> ID #483376 entered on 01-24-07 @ 2:03 pm EST

#26. Okay, okay...
---->> ID #483266 entered on 01-24-07 @ 12:16 am EST

#25. Well, THAT was fun.
---->> ID #483170 entered on 01-23-07 @ 4:17 pm EST

#24. Shut up about Hillary already.
---->> ID #482990 entered on 01-22-07 @ 7:20 pm EST

#23. Burned at the Steak
---->> ID #482766 entered on 01-21-07 @ 5:43 pm EST

#22. Furniture
---->> ID #482605 entered on 01-20-07 @ 9:08 pm EST

#21. Commentary
---->> ID #482387 entered on 01-19-07 @ 1:59 pm EST

#20. Life Imitates Art
---->> ID #482248 entered on 01-18-07 @ 5:20 pm EST

#19. The Bunny
---->> ID #482051 entered on 01-17-07 @ 8:37 pm EST

#18. Don't Look Back
---->> ID #481772 entered on 01-16-07 @ 1:23 pm EST

#17. My Hometown
---->> ID #481582 entered on 01-15-07 @ 5:09 pm EST

#16. Shoulda Known Better
---->> ID #481258 entered on 01-14-07 @ 12:36 pm EST

#15. More Thumper Magic
---->> ID #481109 entered on 01-13-07 @ 6:05 pm EST

#14. You like me! You really, really like me!
---->> ID #481093 entered on 01-13-07 @ 4:19 pm EST

#13. Thumpers in the News
---->> ID #480888 entered on 01-12-07 @ 4:57 pm EST

#12. Greetings from the Cesspool
---->> ID #480687 entered on 01-11-07 @ 3:43 pm EST

#11. Newsletters
---->> ID #480460 entered on 01-10-07 @ 3:52 pm EST

#10. Fifty Five Thousand Six Hundred
---->> ID #480168 entered on 01-09-07 @ 12:14 pm EST

#9. Crimes Against Logic
---->> ID #480007 entered on 01-08-07 @ 7:35 pm EST

#8. News of the Wrong
---->> ID #479783 entered on 01-07-07 @ 4:01 pm EST

#7. It's a Beautiful Day
---->> ID #479497 entered on 01-06-07 @ 3:05 pm EST

#6. Why didn't you tell me?
---->> ID #479359 entered on 01-05-07 @ 8:36 pm EST

#5. The opposite of pro
---->> ID #479217 entered on 01-05-07 @ 11:48 am EST

#4. Poker
---->> ID #479147 entered on 01-04-07 @ 11:50 pm EST

#3. Things I Learned Today
---->> ID #478915 entered on 01-03-07 @ 10:24 pm EST

#2. Working Late
---->> ID #478584 entered on 01-02-07 @ 7:13 pm EST

#1. In with the New
---->> ID #478293 entered on 01-01-07 @ 1:08 pm EST


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