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Complex Numbers
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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Just a few more prompts from "JAFBG"  [XGC]. This is one of them.
What upcoming event are you dreading and why?
Anyone who's been following along here knows my answer to this one.
When I was somewhere in my 20s, I worked for a home construction and addition business. Safety procedures were lax at best, but I did have safety goggles of a sort, if not a hard hat. One day, I was working on some rich asshole's garage when my glasses fell right down a stack of cinderblock cells, too far down to reach. So I kept going without them, because it turns out that in order to collect a paycheck, one has to work.
Naturally, it was shortly thereafter, as I was attempting to hammer a nail through a nice springy sheet of plyboard, the nail flew up and popped my eyeball.
Surgery to repair torn eyes has supposedly come a long way since then, but at the time, I'm told they put nine stitches in my cornea. This happened under general anesthesia, so all I remember was passing out and then waking up with a patch over my left eye. That was bad enough, but in order to keep the stuff inside my eyeball from leaking to the outside of my eyeball, they sealed the suture holes with cyanoacrylate.
Yes, that's what's commonly known as superglue. I expect it probably had a somewhat different formulation, but it was still runny enough that it leaked onto the sclera, the part of the eye that's usually white but turns red whenever someone drinks or gets cyanoacrylate on it.
I've been in pain several times in my life. Appendicitis, recovery from the appendectomy, bee stings, a goddamned heart attack, toothaches, paper cuts, whatever. Nothing, and I mean nothing, was as unbearable as the pain of the doctor getting CA on my sclera. That shit hurt like someone was rubbing sandpaper on my eyeball. The initial injury didn't hurt that bad. The surgery itself didn't hurt at all (because like I said, I was completely conked out for it). But I remember sitting up in the recovery bed screaming like I was finally ready to tell the enemy all of our troop numbers and deployment.
Eventually, they took the patch off and, in fact, the vision in that eye improved. The ophthalmologist wrote me up in a paper somewhere and I'm told it led to advances in LASIK and other corneal adjustment procedures.
Not worth the pain, though.
Some time after that, I heard a real-life horror story of someone undergoing eye surgery, and the anesthetic didn't work as advertised. The patient was awake for the whole procedure, able to see and hear the surgeons and nurses doing their thing and talking about it -- but unable to move a single muscle, including the ones controlling speech. Can't move, can't breathe (that's handled by a machine), can't do anything but lie there and be tortured. As someone who occasionally enjoys (that's a joke) sleep paralysis, this freaked me out more than clowns, spiders, needles, heights, or tall clown spider needles. As I recall, that patient spent a long time afterwards, perhaps their entire life, with something like PTSD, never right in the head afterwards.
Whether their vision got fixed or not, I don't know.
Perhaps because of this, the one phobia I have that I'm aware of is of something touching my eyeball (though my eyelids get a pass). I never could wear contact lenses because of it, and whenever I need even something as innocuous as eye drops, I have to trick myself into applying them.
So perhaps you can understand why I'm dreading cataract surgery -- an outpatient procedure that's over in a few minutes and has a really good track record of safety and efficacy, but involves only local anesthetic. You're awake for it, with your eyes wide open -- probably via clamps like Alex at the end of A Clockwork Orange -- and you get to watch as they break up your eyes' lenses with ultrasound, suck out the pieces through slits in the corneas, and replace them with shiny new artificial lenses.
None of which would bother me all that much if it weren't for the "being awake and aware" part. I guess they give you Valium or some shit so you don't freak the fuck out, but I'm not sure that's going to be enough for me.
So, yeah, fine, I'm dreading it. I'm going to do it anyway because being able to see is important to me (it kind of helps with driving), but that doesn't mean I have to like it.
I've already roped a friend of mine into taking me there, even though the surgery date isn't set yet. Hopefully there will be beer nearby when it's over, because nothing says "pass out completely" like alcohol and Valium. |
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