%%USERNAME%%    %%ACCWORDS%% %%ONOFF%% |
 |    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] !](https://images.Writing.Com/imgs/writing.com/writers/badges/group-Quill_Award-1375927_6.gif) ![Merit Badge in Quill Award 2
[Click For More Info]
2022 Quill Award - Best Blog - [Link To Item #1196512] . Congratulations!!!](https://images.Writing.Com/imgs/writing.com/writers/badges/group-Quill_Award_2-1375927_6.gif) ![Merit Badge in 30DBC Winner
[Click For More Info]
Congratulations on winning the Jan. 2019 [Link To Item #30dbc] !!](https://images.Writing.Com/imgs/writing.com/writers/badges/group-30DBC_Winner-2064535_14.gif) ![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] .](https://images.Writing.Com/imgs/writing.com/writers/badges/type-Blogging-2180.gif) ![Merit Badge in Highly Recommended
[Click For More Info]
I highly recommend your blog.](https://images.Writing.Com/imgs/writing.com/writers/badges/Kudos-Highly_Recommended.gif) ![Merit Badge in Opinion
[Click For More Info]
For diving into the prompts for Journalistic Intentions- thanks for joining the fun!](https://images.Writing.Com/imgs/writing.com/writers/badges/genre-Opinion-1150.gif) ![Merit Badge in High Five
[Click For More Info]
For your inventive entries in [Link To Item #2213121] ! Thanks for the great read!](https://images.Writing.Com/imgs/writing.com/writers/badges/Kudos-High_Five.gif) ![Merit Badge in Enlightening
[Click For More Info]
For winning 3rd Place in [Link To Item #2213121] . Congratulations!](https://images.Writing.Com/imgs/writing.com/writers/badges/general-Enlightening.gif) ![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.](https://images.Writing.Com/imgs/writing.com/writers/badges/group-Quarks_Bar-2046190_12.gif)       |
| What time of day are you most motivated? Least motivated? For me, I’m most motivated and productive in the morning, and least in the mid afternoon around 2pm. What do you do to renew your motivation in those slumps? As someone who finds motivation elusive at the best of times, I'm not sure how to respond to this one. But I'll give it a shot. The idea that we're better off doing certain things at different times of day has some evidence for it. Here's an example: https://www.outsideonline.com/2278086/timing-everything-and-everything-timing If you consciously pay attention to timing, you can dramatically improve your performance, and you can dramatically improve yourself. (This is probably the first and last time I'll ever link to Outside magazine. I mean... "Outside." Shudder.) I was reading that because I did start to wonder - and therefore, I Googled - what's the best time of day to do a workout. According to that article, from what I gather from it anyway, the answer is: it depends on what you're trying to do. It would make sense, then, if the same logic applied to other types of activity, including the relative inactivity of, say, sitting down to write something. My work used to involve a lot of sitting around at the computer - much as my hobbies do now. Back then, when I was shoehorned into a roughly 8-to-5 schedule, I did notice a trend: I could get work done at anytime, including the many hours of overtime I pulled, but almost every day, around 3-4 pm, I'd get tired. Like, pass-out-in-a-coma tired. This wasn't the same kind of inertia that always clogged my mornings (because I'm not a morning person and I never did get a taste for coffee), but rather a shutdown, almost like my narcoleptic friend. But where she couldn't stay awake no matter how much she wanted to, I could usually force my eyes to remain open - but I wasn't worth a damn when I did. On the other hand, if I was able, somehow, to nap around that time, I'd get a period of great energy going around 5-7pm - you know, about the time most office grunts like me had already gotten off of work. But, I've found, I do my best work around midnight - and this is true even now; it's why I get these entries in around 12-1 am (I'm in the same time zone as WDC). Because of that, I found it difficult to get to sleep then, and consequently, had trouble waking up between 7-8 am - and the cycle continued. One of the things I promised myself upon retirement was that I'd sleep when I was tired - barring, of course, important events. This led to my current biphasic sleep cycle - which, probably not coincidentally, has me falling asleep for an hour or two in the late afternoon. Even then, it varies. Sometimes I'm up until 4am. Sometimes I'm asleep by 2. Rarely, my afternoon nap turns into a four-hour snoozefest. But one constant is that I feel most creative and productive, writing-wise, in the hours immediately around midnight. And my workouts? Noon-ish, usually. Probably not ideal according to that despicable link above, but that's about when I go, "You know, I probably should go ahead and get my gym time in before I get tired this afternoon." I'll tell you what, though - it's been a few years since I could unfetter myself from the shackles of an office job, and I still revel in the luxury of being able to (most days) get up whenever the fuck I feel like it. And it is a luxury, I know - but when I'm up, I'm up. No snooze buttons, no missing alarms, no dragging ass into the shower... just up and showered and dressed and ready to do day stuff. Just another of the great things about being me, I guess. |
View Portfolio
Visit Notebook
Send Gift Points
Awards
Badges
Send Email
Community Newsfeed
General Discussion
Sponsored Items
Book of Trinkets
Static Items
Books
Groups
Interactive Stories
Audio
Campfire Creatives
Community Notes
Crossword Puzzles
Documents
Folders
Images
In & Outs
Madlibs
Photo Albums
Polls
Product Reviews
Quizzes
Survey Forms
Web Pages
Word Searches
