%%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)       |
| The random number gods bring us back to the solar system today, but this time we're talking about a planet that only exists in educated speculation. Before Pluto achieved dwarf planet status, that would have been Planet Ten. I will admit, Planet X sounds better than Planet IX. But maybe I'll start calling it Planet Ix. At 9,200 feet, there is 20 percent less oxygen than at sea level, enough to take all the air from my lungs after just three steps. Is it bad that I understood immediately why one would open an astronomy article with this sentence? I had to walk very slowly when I was at the peak of Haleakala, where a bunch of telescopes lurk. This wasn't Maui, though, but that other island. And the actual telescope is a couple thousand feet higher. We were at base camp on the dormant volcano Mauna Kea, on the big Island of Hawaii. The pair were here to use one of the most powerful telescopes in the world, called Subaru. Which has nothing to do with the car company; both take their names from what we call the Pleiades. Tomorrow night, December 3, marked the start of their sixth observing run and their next attempt to find the biggest missing object in our solar system, called — for the moment — Planet Nine. Yeah, I'm gonna call it Ix. The article is from Longreads, so... well, it's right there in the name. I won't be quoting a lot more of it, but I wanted to highlight a few relevant sections. As a theorist Batygin feels that he’s already mathematically proven its existence. But it’s generally accepted that for a planet to be considered discovered in the field of astronomy, the theory must also be accompanied by a photograph. I know I've pointed this out somewhere before, but a while back, a planet inside Mercury's orbit was "mathematically proven." They figured one had to be there based on perturbations in Mercury's orbits. Some people even claimed to have images of it, taken during eclipses or whatever. So they called it Vulcan, after the forge god (not to be confused with, well, you know). You think it was bad when Pluto was designated a dwarf planet? Imagine renumbering all the planets. Earth becomes Planet 4, for example. Anyway, short version, there was no Vulcan; the images were false and Mercury's orbit was fully explained by Einstein. I'm not saying the data pointing to Planet Ix is nothing but gravitational anomalies, but there's still a lot we don't understand. Which is why we do science. Part of their job was first to try to find a solution less extreme— like a passing star or a galactic anomaly — than a giant undiscovered planet far off in the depths of the solar system, because, a hidden planet? That was absurd. See, now, to me, a passing star or a galactic anomaly would be more weird than a hitherto unobserved planet. But that's why they get paid the big bucks. (I'm joking; astronomers don't get paid the big bucks.) After the observing run was complete, I asked the pair if they ever felt that trying to find Planet Nine was ridiculous, that the whole notion of a giant missing planet and the efforts they have gone to to find it ever make them feel defeated. They both gave me roughly the same response: no. Their answer brought to mind the French philosopher and writer Albert Camus. He thought a lot about the myth of Sisyphus and plucked his unfortunate mythical backstory away from the root of his actions, the eternal task of pushing a boulder up a mountain only to watch it fall back down again. Right? Because the telescope is located at the summit of a mountain, and the astronomers are like Sisyphus, climbing and descending the mountain over and over again. Like I said, a long read, and a lot of it is, pun intended, atmosphere. But I found it fascinating. Life is barely possible at the summit of that volcano; it has, as the article notes, barely enough oxygen to survive, let alone move around and do stuff. When I went up Haleakala—from which you can see Mauna Kea off in the distance—I'd brought a bottle of Coke with me. When I finished it, up at the summit, I twisted the top back on and left it in the car, because I didn't want to add to any trash at the peak. After enjoying the cold, thin air for a couple of hours, we headed back down the mountain. Back near sea level, in Kehei, I went to toss the bottle into a bin, and saw that, despite the cap being tightly screwed on, it had crumpled, as if squeezed by a fist; this was physical proof of the vast difference in air pressure. And Haleakala is "only" at about 10,000 feet. My point here is that outside of a thin membrane of habitability, proportionally thinner than an eggshell, the Universe is actively trying to kill us. And yet we continue to push that boundary to learn everything we can about this vast, uncaring expanse. Whether we find proof of Planet Ix or not, there's something to be said for the lengths we'll go to in order to try. |
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
