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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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September 11, 2022 at 12:01am
September 11, 2022 at 12:01am
#1037608
Today's article (actually an essay) has been languishing in my queue for a while, and today is its day. I don't have a lot to say about it, and it may be of only marginal interest to most people, but I found it to be an interesting glimpse into some of the cultural tensions that we've been experiencing.

The Ticking Crocodile: Performative Accountability in Cultural Institutions  Open in new Window.
How to spot false gestures at accountability, why acknowledgment is not enough, and what genuine reconciliation might look like


And it's a good thing I don't have a lot to say about it, because I'm really not in the mood today. Yesterday would have been my dad's birthday had he survived (he was born 105 years ago), and I've been practicing avoidance. It's raining, the days are getting shorter, and things are getting colder. I know a lot of people love fall. I do not. I'm a summer guy. If it's too hot for you, it's just right for me. Anything below 20C is "cold" and anything below 15C is "freezing" as far as I'm concerned, and the rain just makes me more miserable. The only good thing about the approaching season of dying is beer: Oktoberfest lagers and pumpkin ales make their brief seasonal appearance, and I might have had a few of those yesterday.

None of which has anything to do with the article (except for maybe the "avoidance" bit), but dammit, this is my blog and I get to rant about my state of mind if I want.

So I'm just leaving the essay here for your benefit. I'm taking a mental health night. I did read it (twice - once when Stik to My Own Beat Author Icon sent it to me and again just now to see if I had any coherent thoughts about it, to which the answer is "not really") but while I think it's important, I'm in no mood to articulate exactly why. But it does have implications for my life, and for that of my father before me (I knew he'd figure into this somehow). I spent my childhood on land appropriated from an Indigenous people; I've donated the artifacts found on it to their tribal council, but is that the end of my responsibility, or just the beginning? Or is it even on me at all?

I don't know, and in a few years, it won't matter anyway.
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