\"Writing.Com
*Magnify*
SPONSORED LINKS
BY ONLINE AUTHORS
Printed from https://writing.com/main/profile/blog/cathartes02/day/10-3-2018
Image Protector
\"Reading Printer Friendly Page Tell A Friend
(89)
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.




Merit Badge in Quill Award [Click For More Info] Congratulations on winning Best Blog in the 2021 edition of [Link To Item #quills] !
Merit Badge in Quill Award [Click For More Info] Congratulations on winning the 2019 Quill Award for Best Blog for [Link To Item #1196512] . This award is proudly sponsored by the blogging consortium including [Link To Item #30dbc] , [Link To Item #blogcity] , [Link To Item #bcof] and [Link To Item #1953629] . *^*Delight*^* For more information, see [Link To Item #quills] . Merit Badge in Quill Award [Click For More Info] Congratulations on winning the 2020 Quill Award for Best Blog for [Link To Item #1196512] . *^*Smile*^* This award is sponsored by the blogging consortium including [Link To Item #30dbc] , [Link To Item #blogcity] , [Link To Item #bcof] and [Link To Item #1953629] . For more information, see [Link To Item #quills] .
Merit Badge in Quill Award 2 [Click For More Info] 2022 Quill Award - Best Blog - [Link To Item #1196512] . Congratulations!!! Merit Badge in Quill Award 2 [Click For More Info] Congratulations! 2022 Quill Award Winner - Best in Genre: Opinion *^*Trophyg*^* [Link To Item #1196512] Merit Badge in Quill Award 2 [Click For More Info] Congratulations!! 2023 Quill Award Winner - Best in Genre - Opinion *^*Trophyg*^* [Link To Item #1196512]
Merit Badge in 30DBC Winner [Click For More Info] Congratulations on winning the Jan. 2019 [Link To Item #30dbc] !! Merit Badge in 30DBC Winner [Click For More Info] Congratulations on taking First Place in the May 2019 edition of the [Link To Item #30DBC] ! Thanks for entertaining us all month long! Merit Badge in 30DBC Winner [Click For More Info] Congratulations on winning the September 2019 round of the [Link To Item #30dbc] !!
Merit Badge in 30DBC Winner [Click For More Info] Congratulations on winning the September 2020 round of the [Link To Item #30dbc] !! Fine job! Merit Badge in 30DBC Winner [Click For More Info] Congrats on winning 1st Place in the January 2021 [Link To Item #30dbc] !! Well done! Merit Badge in 30DBC Winner [Click For More Info] Congratulations on winning the May 2021 [Link To Item #30DBC] !! Well done! Merit Badge in 30DBC Winner [Click For More Info] Congrats on winning the November 2021 [Link To Item #30dbc] !! Great job!
Merit Badge in Blogging [Click For More Info] Congratulations on winning an honorable mention for Best Blog at the 2018 Quill Awards for [Link To Item #1196512] . *^*Smile*^* This award was sponsored by the blogging consortium including [Link To Item #30dbc] , [Link To Item #blogcity] , [Link To Item #bcof] and [Link To Item #1953629] . For more details, see [Link To Item #quills] . Merit Badge in Blogging [Click For More Info] Congratulations on your Second Place win in the January 2020 Round of the [Link To Item #30dbc] ! Blog On! *^*Quill*^* Merit Badge in Blogging [Click For More Info] Congratulations on your second place win in the May 2020 Official Round of the [Link To Item #30dbc] ! Blog on! Merit Badge in Blogging [Click For More Info] Congratulations on your second place win in the July 2020 [Link To Item #30dbc] ! Merit Badge in Blogging [Click For More Info] Congratulations on your Second Place win in the Official November 2020 round of the [Link To Item #30dbc] !
Merit Badge in Highly Recommended [Click For More Info] I highly recommend your blog. Merit Badge in Opinion [Click For More Info] For diving into the prompts for Journalistic Intentions- thanks for joining the fun! Merit Badge in High Five [Click For More Info] For your inventive entries in [Link To Item #2213121] ! Thanks for the great read! Merit Badge in Enlightening [Click For More Info] For winning 3rd Place in [Link To Item #2213121] . Congratulations!
Merit Badge in Quarks Bar [Click For More Info] For your awesome Klingon Bloodwine recipe from [Link to Book Entry #1016079] that deserves to be on the topmost shelf at Quark's.
Signature for Honorable Mentions in 2018 Quill AwardsA signature for exclusive use of winners at the 2019 Quill AwardsSignature for those who have won a Quill Award at the 2020 Quill Awards
For quill 2021 winnersQuill Winner Signature 20222023 Quill Winner

October 3, 2018 at 1:45am
October 3, 2018 at 1:45am
#942533
Finally, someone acknowledges my strengths:

Merit Badge in Gaming [Click For More Info] Because I can't believe you don't already have one, and, ironically, because you set Fallout aside for a least a few moments a day to keep up with [Link To Item #1474311] Tech Support. And also because there's no "Spreadsheet Guru" badge. (What?!)

Because everyone needs a hobby, and everything else was getting in the way of mine.

*Thought*  Comment


© Copyright 2025 Robert Waltz (UN: cathartes02 at Writing.Com). All rights reserved.
Robert Waltz has granted Writing.Com, its affiliates and its syndicates non-exclusive rights to display this work.

Printed from https://writing.com/main/profile/blog/cathartes02/day/10-3-2018