%%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)       |
| Low energy tonight. Worn out from playing D&D earlier. Am I getting too old for this shit? ....Nah. So it's good that the random number generator gave me an easy, uncontroversial, and informational article today. Because measurement units are completely arbitrary? Yes, even SI ones. I'd be more interested in why the meter is defined as the distance light travels in 1/299,792,458 seconds instead of a nice round 1/300,000,000. Okay, yes, I know the history of the meter; I'm just saying it makes just as much sense as defining a foot as 1/5280 of a mile. Why are there 5,280 feet in a mile, and why are nautical miles different from the statute miles we use on land? Why do we buy milk and gasoline by the gallon? Where does the abbreviation "lb" come from? Let's take a look at the origins of a few units of measure we use every day. Smugly, I knew most of these, but it never hurts to have a refresher. If the mile originated with 5,000 Roman feet, how did we end up with a mile that is 5,280 feet? Blame the furlong. I just like the word "furlong." Say it. Say it out loud. Right now. Absorb the laughter from those around you. Embrace it. So if the statute mile is the result of Roman influences and plowing oxen, where did the nautical mile get its start? Strap on your high school geometry helmet for this one. Each nautical mile originally referred to one minute of arc along a meridian around the Earth. Think of a meridian around the Earth as being made up of 360 degrees, and each of those degrees consists of 60 minutes of arc. Each of these minutes of arc is then 1/21,600th of the distance around the earth. Thus, a nautical mile is 6,076 feet. And I just lost half my audience. Seriously, though, that sounds a little bit like how the meter was originally defined. Like the mile, the acre owes its existence to the concept of the furlong... That's how we ended up with an acre that's equivalent to 43,560 square feet. I spent my college years learning how to do engineering in both SI and Imperial units. I figured by the time I got out of college, we'd be using SI exclusively. Silly me. By the time I was a month (another arbitrary unit of measurement as we define it today) into my first job at a civil engineering firm, I had the area of an acre in square feet etched into my brain. As the name implies, scholars think that the foot was actually based on the length of the human foot. More like the sasquatch foot. The wine gallon corresponded to a vessel that was designed to hold exactly eight troy pounds of wine. Oh, that's helpful. When I was in England, I noticed that they quote distances in miles, petrol in liters, and the price of petrol in pounds (the money, not the weight) per liter. Trying to convert all of that to all-Imperial or all-SI and dollars broke my brain (the best I could figure out is that they pay A LOT more for petrol there than we do for gas in the US). Fortunately, they still sell ale in pints so I could easily forget trying to figure it out. Like several other units, the pound has Roman roots. It's descended from a roman unit called the libra. That explains the "lb" abbreviation for the pound, and the word "pound" itself comes from the Latin pondo, for "weight." The avoirdupois pounds we use today have been around since the early 14th century, when English merchants invented the measurement in order to sell goods by weight rather than volume. As an aside, I wish more recipes would specify quantities by weight rather than by volume. The amount of flour in a cup, for example, depends on the amount of air in the sifted flour (even if you level it off like you're supposed to but I'm the only one who ever actually does that). But, for all practical purposes, on the surface of the Earth, weight is weight. You might have to adjust some shit if you're on top of a mountain, but that's more because of water's lower boiling point there and not gravity differential. Yes, gravity is slightly different at the Equator than at the South Pole, but if you're cooking at the South Pole, you have bigger problems than determining food quantity, like how to avoid freezing solid. Also, how much broccoli is in a cup? Do you fill the cup to the rim, then stop? That doesn't seem like a lot of broccoli. Stuff all the broccoli you can into the cup, heaping it up? You get more like two cups that way. And it's heavily dependent on how finely chopped the nasty buggers are. If two people can't come up with the same amount of broccoli when cooking, then the cooking method is suspect. Specify it by weight, and there's no question. Don't tell me "but it doesn't matter; just eat the damn broccoli already." I'm a goddamn engineer; quantities matter. Early 18th-century steam engine entrepreneurs needed a way to express how powerful their machines were, and the industrious James Watt hit on a funny idea for comparing engines to horses. Ironically, Watt's name ended up becoming a unit of measure (for power, which is energy per unit time; it's an SI standard). Anyway, like I said, informational article. There's even stuff in there I didn't know, but now I do. Win. |
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
Talk about retaining water... 
