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Printed from https://www.Writing.Com/view/1196512
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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Signature for Honorable Mentions in 2018 Quill Awards

Previous ... -1- 2 3 4 5 6 7 8 9 10 ... Next
#1061. To Be Honest...
ID #969536 entered on November 13, 2019 at 12:09am
#1060. Under Pressure
ID #969474 entered on November 12, 2019 at 12:04am
#1059. Spare Some Change?
ID #969408 entered on November 11, 2019 at 12:52am
#1058. An Insecure Sinecure
ID #969349 entered on November 10, 2019 at 12:06am
#1057. If Wishes Were Horses, We'd Be Covered In Shit
ID #969296 entered on November 9, 2019 at 12:01am
#1056. Hush
ID #969232 entered on November 8, 2019 at 1:15am
#1055. None More Black
ID #969163 entered on November 7, 2019 at 12:15am
#1054. Oy, This Dreck Again
ID #969085 entered on November 6, 2019 at 12:06am
#1053. Suite Emotions
ID #969015 entered on November 5, 2019 at 12:01am
#1052. Quelle Surprise
ID #968948 entered on November 4, 2019 at 12:30am
#1051. Wait for It...
ID #968863 entered on November 3, 2019 at 12:41am
#1050. Meeska and Jouska
ID #968797 entered on November 2, 2019 at 12:03am
#1049. Samhain Night
ID #968734 entered on November 1, 2019 at 12:08am
#1048. Funny Business
ID #968682 entered on October 31, 2019 at 12:07am
#1047. The King's English
ID #968631 entered on October 30, 2019 at 12:05am
#1046. Fantastic
ID #968586 entered on October 29, 2019 at 12:24am
#1045. Unwellness
ID #968536 entered on October 28, 2019 at 12:57am
#1044. Sleep Now
ID #968470 entered on October 27, 2019 at 12:02am
#1043. Born in the USA
ID #968432 entered on October 26, 2019 at 12:01am
#1042. In Extremis
ID #968390 entered on October 25, 2019 at 12:15am
#1041. Time to Get Real
ID #968339 entered on October 24, 2019 at 12:37am
#1040. The Right Word
ID #968290 entered on October 23, 2019 at 12:17am
#1039. StairMaster to Heaven
ID #968243 entered on October 22, 2019 at 12:11am
#1038. More Writing Advice
ID #968195 entered on October 21, 2019 at 12:12am
#1037. Today's Vocabulary List
ID #968145 entered on October 20, 2019 at 12:25am
#1036. Birthed in Beer
ID #968099 entered on October 19, 2019 at 12:08am
#1035. On Love and Biochemistry
ID #968052 entered on October 18, 2019 at 12:20am
#1034. Of Time and Black Holes
ID #967982 entered on October 17, 2019 at 12:26am
#1033. Tower
ID #967929 entered on October 16, 2019 at 12:25am
#1032. Chaos
ID #967880 entered on October 15, 2019 at 12:12am
#1031. Time is Money
ID #967806 entered on October 14, 2019 at 12:05am
#1030. Something Postmodern and Incomprehensible
ID #967746 entered on October 13, 2019 at 12:02am
#1029. Contronyms
ID #967679 entered on October 12, 2019 at 12:03am
#1028. I'll Drink To That
ID #967619 entered on October 11, 2019 at 12:01am
#1027. Gindex
ID #967567 entered on October 10, 2019 at 12:18am
#1026. No, It Didn't Happen That Way
ID #967503 entered on October 9, 2019 at 12:15am
#1025. Devolution
ID #967431 entered on October 8, 2019 at 12:21am
#1024. It Never Gets Old
ID #967365 entered on October 7, 2019 at 12:18am
#1023. War Words
ID #967313 entered on October 6, 2019 at 12:05am
#1022. Quack
ID #967271 entered on October 5, 2019 at 12:04am
#1021. Watch your Language
ID #967224 entered on October 4, 2019 at 12:43am
#1020. Metropolitan Mistake
ID #967155 entered on October 3, 2019 at 12:28am
#1019. Fat Chance
ID #967109 entered on October 2, 2019 at 12:28am
#1018. Locavore
ID #967052 entered on October 1, 2019 at 12:01am
#1017. Wake Me Up When... Wait, NOW?
ID #966998 entered on September 30, 2019 at 12:55am
#1016. Doors
ID #966942 entered on September 29, 2019 at 12:02am
#1015. Universal
ID #966907 entered on September 28, 2019 at 12:45am
#1014. Quote
ID #966853 entered on September 27, 2019 at 12:25am
#1013. Pappy? Happy!
ID #966808 entered on September 26, 2019 at 10:37am
#1012. Musing
ID #966760 entered on September 25, 2019 at 5:29am
#1011. Honest
ID #966700 entered on September 24, 2019 at 7:41am
#1010. Voyager
ID #966639 entered on September 23, 2019 at 6:43am
#1009. Dated Material
ID #966577 entered on September 22, 2019 at 12:23am
#1008. Take This Waltz
ID #966518 entered on September 21, 2019 at 12:27am
#1007. Dealing With Trolls
ID #966475 entered on September 20, 2019 at 12:08am
#1006. Can't Find a Better Man
ID #966408 entered on September 19, 2019 at 12:23am
#1005. Switch
ID #966359 entered on September 18, 2019 at 12:09am
#1004. Comfortable
ID #966303 entered on September 17, 2019 at 12:11am
#1003. Athletic Non-Supporter
ID #966255 entered on September 16, 2019 at 12:02am
#1002. Lunacy
ID #966211 entered on September 15, 2019 at 3:07am
#1001. Vulture
ID #966151 entered on September 14, 2019 at 12:10am
#1000. Favorites
ID #966105 entered on September 13, 2019 at 12:30am
#999. Write and Wrong
ID #966039 entered on September 12, 2019 at 12:01am
#998. Idols
ID #965984 entered on September 11, 2019 at 12:04am
#997. Facts
ID #965912 entered on September 10, 2019 at 12:19am
#996. A Happy Medium
ID #965855 entered on September 9, 2019 at 12:12am
#995. Leadershit
ID #965799 entered on September 8, 2019 at 12:09am
#994. Reflection
ID #965734 entered on September 7, 2019 at 12:03am
#993. Last Words
ID #965674 entered on September 6, 2019 at 1:04am
#992. Feature (not a bug)
ID #965588 entered on September 5, 2019 at 5:39am
#991. Lies, Damned Lies, and...
ID #965522 entered on September 4, 2019 at 12:58am
#990. Uncomfortable
ID #965446 entered on September 3, 2019 at 12:04am
#989. Waltzing towards Bethlehem
ID #965382 entered on September 2, 2019 at 12:28am
#988. Nineteen
ID #965323 entered on September 1, 2019 at 12:46am
#987. What About Money?
ID #965280 entered on August 31, 2019 at 12:19am
#986. Life As We Know It
ID #965240 entered on August 30, 2019 at 12:33am
#985. Time Warp
ID #965088 entered on August 29, 2019 at 12:03am
#984. Mirror, Mirror
ID #964944 entered on August 28, 2019 at 12:11am
#983. We Don't Need No Steenkin' Rules
ID #964888 entered on August 27, 2019 at 12:39am
#982. Dolla Bill Yo
ID #964735 entered on August 26, 2019 at 12:10am
#981. Professional Crastination
ID #964690 entered on August 25, 2019 at 12:21am
#980. Don't Be a Douche
ID #964620 entered on August 24, 2019 at 12:33am
#979. Consciousness
ID #964576 entered on August 23, 2019 at 12:31am
#978. Idle Ideals
ID #964457 entered on August 20, 2019 at 1:01am
#977. Missionary Position
ID #964418 entered on August 19, 2019 at 6:00am
#976. The Inevitable
ID #964364 entered on August 18, 2019 at 1:55am
#975. Circuits... in SPACE
ID #964311 entered on August 17, 2019 at 12:07am
#974. Losers
ID #964273 entered on August 16, 2019 at 1:01am
#973. What's Good for the Propaganda
ID #964231 entered on August 15, 2019 at 12:03am
#972. Semicolonoscopy
ID #964173 entered on August 14, 2019 at 12:17am
#971. Write Angles
ID #964132 entered on August 13, 2019 at 12:26am
#970. Electric Avenue
ID #964083 entered on August 12, 2019 at 12:07am
#969. Inalienable
ID #964037 entered on August 11, 2019 at 12:26am
#968. What A Fool Believes
ID #963997 entered on August 10, 2019 at 12:23am
#967. Mind over Matter
ID #963948 entered on August 9, 2019 at 12:06am
#966. Dedicated Follower of Fashion
ID #963883 entered on August 8, 2019 at 12:42am
#965. No Kidding
ID #963836 entered on August 7, 2019 at 12:08am
#964. Prism Sentence
ID #963785 entered on August 6, 2019 at 12:02am
#963. Kelpless
ID #963736 entered on August 5, 2019 at 12:02am
#962. Headline Questions Are Usually Answered "No."
ID #963685 entered on August 4, 2019 at 12:25am

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