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Complex Numbers

by Robert Waltz

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.

http://www.ddewey.net/mandelbrot/

Signature for Honorable Mentions in 2018 Quill Awards

A signature for exclusive use of winners at the 2019 Quill Awards

Signature for those who have won a Quill Award at the 2020 Quill Awards

Show Recent Comments

10 Most Recent Blog Comments:

tj wanderlust-words-in-motion

a day ago
In response to "Revisited: "Forgive Me, For I Have Zinned""

My oldest son, while in college, would buy it and mix it with Kool-Aid when he had friends over.

2 Like

Allan Charles 🐾

a day ago
In response to "Revisited: "Forgive Me, For I Have Zinned""

I find White Zinfandel to be disgusting. Defining it as the wine equivalent to American cheese is a great comparison.

At my job, we only sold a cheap house wine for white zin, and when people ordered it I had to try to restrain my facial muscles from giving stank face.

2 Like

tj wanderlust-words-in-motion

a day ago
In response to "Apparatus"

And then we have "cocktail" which can, if one takes the time to look it up, waste a good hour or more of time and provide various meanings and origins, including shoving ginger up a horses arse!

tj wanderlust-words-in-motion

Feb 21, 2025 at 3:02pm
In response to "Thwip"

Put it on ATVs so when they get stuck they can shoot out a web and winch themselves out.

2 Like

tj wanderlust-words-in-motion

Feb 20, 2025 at 6:10pm
In response to "One Fine Thing"

Well, it was a fine idea.

Adhere - Definitely Writing

Feb 20, 2025 at 7:48am
In response to "One Fine Thing"

I immediately thought of "Imfamy, imfamy, they've all got it imfamy." But then my mind does that.

2 Like

tj wanderlust-words-in-motion

Feb 19, 2025 at 3:59pm
In response to "Fail to Succeed"

In one way, it's good to have people with boneheaded ideas, it provides something to blog about.

1 Like

Adhere - Definitely Writing

Feb 19, 2025 at 1:36pm
In response to "Fail to Succeed"

Having drunk soda on both sides of the Atlantic, I have to say that Mountain Dew with HFCS in America tastes a lot better than the 'same' drink made with sugar here in the UK. The experience is smoother and so is the taste.

2 Like

tj wanderlust-words-in-motion

Feb 18, 2025 at 6:10pm
In response to "Tater Tales"

Instant potatoes? Yes, I enjoy them, too. We also use them for thickening up soups and stews.

1 Like

Robert Waltz

Feb 17, 2025 at 11:23pm
In response to "Linguistic"

Annette

- I appreciate the recommendations, but I canceled Netflix when the choice was to put up with ads for a lower price or pay a shitload of money. If it were free with ads, I'd manage like I did in the days of broadcast TV, but I flat-out refuse to both pay money and watch commercials, which is why I never had cable TV.

The price for the ad-free experience also went up to the point where it wasn't worth it with the amount I watched.

August 8, 2020 at 12:01am

#990216

The Great Gig in the Sky

Sometimes, in here, I talk about deep philosophical shit.

https://www.borninspace.com/musician-performs-pink-floyds-great-gig-in-the-sky-o...

Musician Performs Pink Floyd’s ‘Great Gig In The Sky’ On Theremin

But sometimes it's just some random musician playing cool instruments.

For reference, here is the original

, from one of the greatest albums of all time.

A theremin is intrinsically fascinating. It gives music an ethereal, futuristic sound and has been used in soundtracks to convey a sense of weirdness or otherworldliness.

But the theremin was invented in late 1920, meaning that in two months, the instrument will be 100 years old. It was invented after the end of WWI and the Russian Revolution.

If you're not familiar with the instrument, here's the Wikipedia page.

One of the coolest things I ever saw was a Japanese orchestra playing the music of an Austrian composer on a Russian instrument in, in part, an American musical style. Here's that.

To me, that just demonstrates the universality of music.

And if you don't want to click on the above link to borninspace.com, I'm embedding the theremin Great Gig in the Sky video here (he also uses other specialty instruments):

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