| ||||||||||
| ||||||||||
| ||||||||||
| ||||||||||
| ||||||||||
| ||||||||||
|
| ||||||||||||||||||||||||||||||
| >> Book >> Personal >> ID #1196512 |
| |||||||||||||
| 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. |
|
#89. The Pursuit of WHAT?
#88. This is only a Tesla...
#87. Advice
#86. Been busy...
#85. Point of View
#84. So, Waltz, how was the Meat Loaf concert?
#83. I'm Off!
#82. Return of the Tunage!
#81. Debt is Bad, mmmkay?
#80. Not Optional Equipment
#79. Beer... Is there anything it can't do?
#78. Victory!
#77. Amusements and Diversions
#76. Public Service Announcement
#75. Geek Dreams
#74. Pi day
#73. This explains it!
#72. I want.
#71. International Women's Day
#70. Mad Cow
#69. Great Game Concept
#68. And the Winner is...
#67. Too Much
#66. The antidote
#65. Something that's been bugging me...
#64. Fourteen Thousand?
#63. Twice in a Blue Month
#62. Disturbed
#61. Disinspired
#60. Sunday already?
#59. This is not the blog entry you're looking for.
#58. Conned!
#57. Shocking!
#56. Aagh! Math!
#55. Let there be LIGHT!
#54. Writing Workshop, Week 4
#53. Culture Shock
#52. Plotting Laziness
#51. February
#50. Going Dutch
#49. You heart WHAT??
#48. Ice, ice, baby
#47. Kids do the darnedest things!
#46. So what's the point?
#45. Not an Option
#44. It's about that time...
#43. Comedy
#42. Browbeaten
#41. Breaking the Rules
#40. Anyone else figure this out yet?
#39. Trust me!
#38. One Thousand Blog Views
#37. Close Call
#36. Review review
#35. More On Philosophy
#34. A Life I Wanna Start
#33. The Father of Invention
#32. I really should get...
#31. When does loss become gain?
#30. Procrastination
#29. No! Anything but THAT!
#28. The Pursuit of Sex
#27. The Pursuit of Happiness
#26. Okay, okay...
#25. Well, THAT was fun.
#24. Shut up about Hillary already.
#23. Burned at the Steak
#22. Furniture
#21. Commentary
#20. Life Imitates Art
#19. The Bunny
#18. Don't Look Back
#17. My Hometown
#16. Shoulda Known Better
#15. More Thumper Magic
#14. You like me! You really, really like me!
#13. Thumpers in the News
#12. Greetings from the Cesspool
#11. Newsletters
#10. Fifty Five Thousand Six Hundred
#9. Crimes Against Logic
#8. News of the Wrong
#7. It's a Beautiful Day
#6. Why didn't you tell me?
#5. The opposite of pro
#4. Poker
#3. Things I Learned Today
#2. Working Late
#1. In with the New |