Blog Calendar
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



April 3, 2023 at 11:03am
April 3, 2023 at 11:03am
#1047419
Just two prompts left in "JAFBGOpen in new Window. [XGC]. Might as well go the distance. I also intend to participate in "Journalistic IntentionsOpen in new Window. [18+] this month; if you like open-ended blog entry prompts, that should be fun.

Well, that's easy to say. Tell us about something that sounds easy but you find incredibly difficult.


Oh, there are a lot of these. Like "Just talk to her," or "Call the doctor about that."

Sometimes the hardest thing for me is just getting started, even if the task itself is easy. Like, say I've decided that today is pencil-sharpening day, the day I set aside to make sure all of my standard pencils are nice and sharp. Easy, right? Maybe a little bit boring, but ultimately satisfying to see those little curls of wood peel off the points. So it's not like I don't want to sharpen my pencils. It's just that I don't want to stop wasting time on other things.

"Okay, Me, stop looking at YouTube videos and go sharpen your pencils."

"No."

"That video ended. Let's go sharpen pencils."

"But there's another one in the recommendation queue. See?"

This was especially dangerous when I was working. The number of times I cursed myself out going, "Just. Do. The. Thing." only to have my inner voice go "Don't wanna" is embarrassing.

I don't actually have a pencil-sharpening day. As an engineer, I favor mechanical pencils. Better yet, computer solutions. The point isn't the task; the point is something that's easy it is to do while being almost impossible, psychologically, to start.

I even talked to a shrink about it once, in a session. He just shrugged. "So, you don't want to." "But I do want to." "Clearly, you don't." "Okay, clearly, I don't want to. But I want to want to." It was, I think, at that point that I acquainted myself with the concept of infinite recursion in my own brain. I want to. I want to want to. I want to want to want to. And so on to infinity, while, in the meantime, the task goes undone because I'm contemplating the vastness of the universe.

But. All of those mental blocks pale in comparison with the one phrase that is guaranteed to freeze my thoughts and actions, sending the chill of intergalactic space through my whole being, rendering me utterly incapable of action. The one phrase that strikes terror in my scarred and stony heart, because I have no idea how to implement it.

The phrase? "Be creative."


© Copyright 2024 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