%%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)       |
| Now that autumn is here (dammit), it seems appropriate that this article about fusion came up tonight. The equinox, which occurred yesterday, marks the point where the sun appears to cross the Earth's equator, and of course the sun is powered by fusion. Yeah, yeah, it's a stretch, I know. The frontrunners in the trillion-dollar race for limitless fusion power  Nuclear, believe it or not, is booming again. And with a serious pile of private and public funding behind them, these companies say they’re even getting closer to fusion. I see even Fast Company isn't above making puns in its headlines. Nuclear? Booming? Anyway, as the article points out, Earthbound fusion reactors seem to be just a few years away—just as they've been for at least my entire life. With energy prices on the rise, along with demands for energy independence and an urgent need for carbon-free power, plans to walk away from nuclear energy are now being revised in Japan, South Korea, and even Germany. Last month, Europe announced green bonds for nuclear, and the U.S., thanks to the Inflation Reduction Act, will soon devote millions to new nuclear designs, incentives for nuclear production and domestic uranium mining, and, after years of paucity in funding, cash for fusion. It's important to note that while fission and fusion are both technically "nuclear power," there's a huge difference; fusion (at least theoretically) isn't anywhere close to as dangerous, despite the incredible temperatures involved. You’ve likely heard this one before. The running joke is that economically harnessing fusion power, which is what a star or hydrogen bomb does, is about 30 years away. What’s not a joke is that we have about zero years to stop powering our civilization with earth-warming energy. Thirty years? I've been hearing "twenty" for at least fifty. One milestone came quietly this month, when a team of researchers at the National Ignition Facility at Lawrence Livermore National Lab in California announced that an experiment last year had yielded over 1.3 megajoules (MJ) of energy, setting a new world record for energy yield for a nuclear fusion experiment. The experiment also achieved scientific ignition for the first time in history: after applying enough heat using an arsenal of lasers, the plasma became self-heating. There's a very good brewery right across the street from that lab. I'm pretty sure I drank with some of the people working there. And you’d be forgiven for missing another milestone in July, when the Energy Dept. announced awards of between $50,000 and $500,000, to ten fusion companies working on projects with universities and national labs. Here are a few of the awardees, who include some of the industry’s leading companies, and whose projects offer a sampling of the opportunities—and hard problems—in fusion. Those awards seem lame in comparison to the total investment in fusion research, but I'm sure every little bit helps. The rest of the article talks about said awardees (understandable, considering the source), and it's all very interesting, but I want to point out a more philosophical angle on fusion. Pretty much every source of energy we have right now is, when it comes right down to it, solar. Hydroelectric systems work by harnessing the energy of surface runoff, which got to where it was because the sun evaporates water, which turns into rain, which turns into runoff. Wind is largely driven by heat differences; the heat source is the sun. Fossil fuels such as coal or natural gas were the result of living things, which also ultimately draw their power from the sun. Solar is, of course, direct from the accursed daystar. And while fission isn't "solar" per se, the fissile material (uranium or whatever) was forged in the incomprehensible power of a supernova. Fusion, at least in principle, doesn't rely on the sun. Oh, sure, the daystar is composed primarily of hydrogen, but most hydrogen was created in the Big Bang itself. (Though I should note that the article points out that tritium, which is actually a hydrogen atom with two neutrons instead of zero, is derived from lithium, which wasn't a huge proportion of the primordial elements.) In any case, fusion is kind of the Holy Grail of power. While I can't speak to the monetary costs involved (the article does that to some extent), it doesn't seem to directly cause global warming the way fossil fuels do, or result in radioactive waste like fission reactors, or fuck up fish habitats like hydroelectric, or take over a landscape like wind farms. I'm sure it has its drawbacks, too. Water use, maybe? I don't know. The only really clean alternative would be to not use electricity at all, and that ain't gonna happen. At least until the inevitable end of civilization. |
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
