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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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May 28, 2024 at 1:00pm
May 28, 2024 at 1:00pm
#1071808
Short entry today. I had a dental checkup this morning, which took up way too much of the morning, and I just don't feel like doing a longer entry.

I will say this, though:

Afterwards, afflicted with a powerful thirst, I stopped at the nearby 7-11 to get some ice-cold Crack Zero for the purposes of slaking said thirst while at the same time getting the cloying taste of tooth polish out of my mouth.

The convenience store was, inconveniently, infested with an outbreak of teen. Kids running around, pushing each other, being loud, discussing their latest trivial but earth-shattering teen drama, flirting, and generally both ignoring and getting in the way of oldies like me who just wanted to do some commerce.

I started to prepare a "kids these days" rant in my head, but then, just as my fist closed over the smooth plastic of an ice-cold Crack Zero, the realization hit me just like some kid had hit the door as I held it open:

Given the way my friends and I acted in 7-11s when we were that age, I was experiencing no more and no less than long-delayed karmic retribution.

Okay, Universe. Okay. You win this time.


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