%%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)       |
PROMPT January 8th Share a story from your childhood when you did something you weren’t supposed to. Did you get caught? Who, me? Do something I wasn't supposed to? What are you implying? ...well, I suppose the statute of limitations has expired, so okay. Truth is, I spent more time doing stuff I wasn't supposed to than I did doing stuff I was supposed to. There was the time I almost set the house on fire, all the times I secretly smoked, tractor races, my first beer (a Red White and Blue  , which also resulted in my first hangover as well as my first time puking off the side of a boat), hitchhiking into town, pranking my father into taking the entire tractor apart piece by piece, biking along winding country roads, walking to the store 3 miles away so I could buy cigarettes and play pinball...Is it any wonder I didn't want to have kids? I certainly wouldn't want to deal with me. But possibly the most memorable one was the Ice Incident. First, however, I need to provide a bit of background. I didn't grow up in a nice suburban house with a lawn and a white picket fence and a dog. Well, a dog, yes. But no, I spent my childhood out in the sticks, in a rural area adjacent to an estuary of the Chesapeake. This is one of several estuaries - they're called "creeks," but they're more like miniature bays, situated at sea level and subject to tides - that form inlets off of the Potomac River in both Virginia and Maryland. It's navigable by small to medium sized boats, and, in fact, we lived next door to a busy marina. Said marina was, however, not all that busy in the wintertime. Then, the winds would howl off the Potomac, rocking the sailboats and causing their rigging to produce a melodic sound, like titanic wind chimes. That is, until the creek froze over, which it did probably once every other winter. There was not enough room at the marina for drydocks, and so the ice would freeze the boats in place, silencing their music. At this time of year, we'd also hear, with preternatural clarity, whenever a train roared past on the tracks whose bridge crossed the creek about a mile inland, to the northwest. One winter - I really don't remember when, but I was old enough to still have a sense of wonder but not old enough to know better - the creek froze solid for over a week. Normally, it would only freeze out to the shipping channel, but on this occasion, one could, if one were so inclined, simply walk across to the other side. Such activity was, of course, strictly forbidden by the inconvenient parental units. After a few days of this solid expanse of frozen creek water, snow fell, and covered the ice to a depth of an inch or two. There wasn't enough wind, then, to blow the fallen snow into drifts, so it was like looking out over a vast, flat, white landscape. This, of course, was like heroin for me; I felt an unquenchable thirst to go and put my stamp on the wide expanse of pristine and untouched snow, much as I had to carve my initials into every smooth-barked birch tree in the woods. So I did. Now, I wasn't completely and utterly stupid, even as a kid - just reckless, as kids are. I waited until my parents weren't paying attention, went outside to "play in the snow," and snuck down the hill to the water's edge. First, I stomped upon the ice; it budged not even the slightest amount. I stepped further out and stomped again, listening. Not even the barest hint of a cracking sound. Emboldened, I walked out even further, marveling at the new perspectives the journey gave me, dragging my boots through the powdery flakes like Neil Armstrong kicking up lunar regolith. The ice held my childhood weight without deflecting so much as a millimeter, so I kept going - all the way to the train tracks. I stood there, under the overpass, my heart racing as a train swooped by overhead, rumbling, shaking the bridge's pilings, shivering the ice. Looking back, then, I saw my footprints connected by scuff marks, exclamation points in the snow. It was about then that I realized that even if I made it back without being seen, the evidence of my passing would tattle on me just as sure as Wayne Gordon did whenever I did something at school that I wasn't supposed to - which was, as I've noted, more often than not. So, with the logic of a preteen or early-teens intrepid Arctic explorer, I guess I figured, "Well, I'm in for it now. I might as well make it worth the punishment." So on my way back, I paused to scuff a single word in the snow, a word that I was sure would be visible from someone standing on the edge of the bluff behind my house. And then I went home and faced the second-worst punishment of my childhood (exceeded only by what happened to me when I nearly set the house on fire; my father had built the house himself, and he was not amused). Oddly enough, I don't remember exactly what the punishment was. There were so many, and they all blended together. My father was old-school and believed in corporeal punishment; my mom had subscribed to the newfangled "take away something they care about" realm of childhood correction. Neither of these methods, it turns out, is especially good for developing well-adjusted adults. The former leads to people who think they can use violence to get what they want (an attitude that I had to fight against for a long time), and the latter provoked me to never show love for anything, because it could be taken away if I did the slightest thing wrong. When I did something really bad, I got it from both sides. I'm sure that Mom, at the very least, revoked my TV privileges, which at the time was a harsh punishment, but I later thanked her for. But Dad? His displeasure with me for endangering myself was exceeded only by his towering anger over the message I'd scrawled in the snow. Until this incident, I don't think he even realized that I knew the F-word. Momma loves her baby And daddy loves you too And the sea may look warm to you babe And the sky may look blue Ooh baby Ooh baby blue Ooh babe |
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
