About This Author
Come closer.
Complex Numbers
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



December 23, 2007 at 7:17pm
December 23, 2007 at 7:17pm
#556809
Someone asked me to explain my blog header some more. Sorry, but that's as simple as I can make it. However, I found this:

http://mathforum.org/johnandbetty/

while searching for a way to be simpler.

The drawings crack me up.
*Thought*  Comment   •   View 3 comments
December 23, 2007 at 7:06pm
December 23, 2007 at 7:06pm
#556807
What ain't no country I ever heard of. They speak English in What?
-Jules


http://www.timesonline.co.uk/tol/news/uk/health/article3087367.ece

DEAF parents should be allowed to screen their embryos so they can pick a deaf child over one that has all its senses intact, according to the chief executive of the Royal National Institute for Deaf and Hard of Hearing People...

Say what?

More:
In America a deaf couple deliberately created a baby with hearing difficulties by choosing a sperm donor with generations of deafness in his family.

WHAT??!

How about we stop breeding for stupid, huh? I mean, I know some people would love to select undesirable traits OUT of their offspring - the definition of "undesirable" being a key issue that I'm not going to touch - but what kind of parent purposely does something to their kid that gives them a disadvantage in life? Of course, lots of deaf people do just fine in life, and that's not the issue; the issue is where does it stop? Should retarded people (and yes, I'm using the R word) deliberately have Down's kids so they can all be retarded together? Come on!

I weep for the world.
*Thought*  Comment   •   View 4 comments


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