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Rated: 18+ · Book · Personal · #1196512
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.




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February 25, 2023 at 3:03am
February 25, 2023 at 3:03am
#1045498
Almost done with February's "Journalistic Intentions" Open in new Window. [18+]. Today's randomly selected photo prompt can be found here: To The Skies  Open in new Window.

It should come as no surprise to anyone who's been following along here that one of the highlights of my life was visiting the Johnson Space Center in Houston.

I've been to the more famous one in Florida, too, of course. That one's close enough to Disney World for a lot of Disney World to have rubbed off on it. Lines for the ticket booths were long but well-ordered, the whole thing was set up as a tourist trap, and it was highly kid-oriented. I fully expected to see employees dressed up as planets taking pictures with families.

It's not terrible, mind you, and I'm glad I went to see one of the world's few spaceports. But its emphasis on mass appeal made it less interesting than its counterpart in Texas.

Of the two, Houston is way more appealing to me because it's geekier. Part of the tour involved going into the room where people handled the first Moon landing (among other flights). Having seen the room in action, live, numerous times as a kid, I was just excited to be standing there in Mission Control.

Another important thing in Houston was they had a hangar specifically for storing one of the Saturn V rockets. Even if you know, from reading or looking at size comparisons or whatever, how big that sucker was, it's pretty incredible to stand next to it (it's stored on its side, but still).

That's the vehicle that took dudes to the Moon, which makes it the most significant machine in human history.

And sure, they're using a different rocket now. Things improve and evolve, like how the Hubble Space Telescope is replaced by the JWST, which in no way diminishes the advancements made by Hubble. I expect this new rocket even has an onboard computer more advanced than the pocket calculator the Apollo missions used, and its Mission Control might be using more than slide rules.

It's quite likely that society will collapse soon, and all of this will be lost. But for a brief few years, we really did shoot for the Moon.


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