Complex Numbers (Book)

Blog Calendar

◄ September ►
S	M	T	W	T	F	S
1	2	3	4	5	6	7
8	9	10	11	12	13	14
15	16	17	18	19	20	21
22	23	24	25	26	27	28
29	30
Archive				RSS

About This Author

Contact Me

Come closer.

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.

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-Merry Mischief Maker

about 8 hours ago
In response to "Hot Shoulder"

Maybe if we say, "Betelgeuse" three times in a row we can witness it.

1 Like

tj-Merry Mischief Maker

a day ago
In response to "Trash Pandas"

Being an avid camper, keeping items out of the reach of raccoons can be challenging. We've had them figure out how to open coolers, open chests, and even gnaw through rope used to suspend a cooler out of their reach.

2 Like

🐕GeminiGem🎁

a day ago
In response to "Trash Pandas"

I wrote one of my Danger Dog stories based on a childhood camping trip that involved a raccoon stealing grapes from our cooler "Danger Dog's Camping Capers"

I had always heard that cockroaches will be the only thing that survives a nuclear war/apocolypse, but maybe it will actually be the raccoons.

4 Like

🌖 HuntersMoon

a day ago
In response to "Trash Pandas"

Just wait until we team up with the cats...

4 Like

Jayngle Bells

a day ago
In response to "Trash Pandas"

The back of my property is sheltered by buildings and cedar trees, so I live on a "racoon highway." Tinfoil works until one takes it for the team and moves it. The only scent that somewhat deters then is ammonia - but they alter their path within the already preferred walkway, not avoid it completely. They generally leave the garbage bin alone, but that's because of the bears, not because of anything we do 😂

I've had more wildlife problems in the city than I ever did in the country. The first time I saw a deer up close? In the middle of my street directly in front of my house. Probably looking for the trash panda party. Lol

4 Like

Annette

Dec 21, 2024 at 11:59am
In response to "Neutral Zone"

It made me happy that I was able to like it. I take the small victories.

1 Like

tj-Merry Mischief Maker

Dec 20, 2024 at 6:06pm
In response to "To Err Is Human"

Right from the beginning I find myself asking, "How many times can anything go extinct?" On a side note, the other day while shopping I saw a neanderthal in the produce section. He was trying to fit in with modern clothes, but it was pretty obvious he was a neanderthal.

1 Like

Annette

Dec 20, 2024 at 1:00pm
In response to "To Err Is Human"

Comments work.

"Like" button sends me this message:

Access Restricted

This is a private area. Access has been restricted and you may not view it under its current settings. If you feel you should have access, please contact the area's owner and request access.

Note: To contact a member via email, click the small envelope icon to the right of their handle. You must be logged into your account to send an email.

2 Like

Annette

Dec 20, 2024 at 12:58pm
In response to "To Err Is Human"

Can I leave this comment?

Wordsmitty ✍️

Dec 19, 2024 at 9:03pm
In response to "Five Seconds"

Way, way back when I was little, it was a three second rule that I remember. Sometime since it was upped to five seconds because of all the chemical preservatives that are pumped into everything now.

1 Like

September 10, 2024 at 9:16am

#1076559

Hush, It's a Secret

Today, I have secrets to share (yes, I know that just last week, I refused to share secrets). From Smithsonian Magazine:

Eight Secret Societies You Probably Haven’t Heard Of
Many of these selective clubs peaked in popularity in the 18th and 19th centuries

Of course you haven't heard of them. They're secret.

The university I went to was infested with secret societies. Still is, as far as I know. The only thing most people knew about them was their penchant for tagging the major landmarks, like the one pictured here,

in a fluff piece focusing on their altruism rather than their penchant for trying to take over the world.

Naturally, I was never invited to join any of them (or was I?) Not that I would have; I'm firmly of the Marxist opinion about joining any club that would have me as a member.

But other secret societies are larger in scope and membership, and some have already taken over the world.

It’s not uncommon for public figures to be involved in selective societies, many of which have deep historical roots.

One reason for the proliferation of public figures in secret societies is simple: control. You've probably heard rumors about goat-shagging or circle jerks or other compromising activities at initiations. Some of those rumors have a grain of truth to them. The deal is that the society helps you get the power, money, and position you crave, but you have to toe their ideological line, or the pics/videos of the goat-shagging or circle-jerking come out, and you have to resign in disgrace.

...the popularity of these secret clubs peaked in the 18th and 19th centuries. Back then, these societies served as safe spaces for open dialogue about everything from academia to religious discourse, removed from the restrictive eye of the church and state.

As far as it goes, those seem like worthy goals to me.

In recent years, Dan Brown, author of The Da Vinci Code, and other novelists have shined a light on some of the bigger secret fraternal organizations, like the Order of Skull and Bones, the Freemasons, the Rosicrucian Order and the Illuminati.

Yeah, look, I'm not going to disparage Dan Brown as a writer. But he's a fiction writer, and fiction writers are known for Making Shit Up. It's right there in the name, folks.

I may be biased because I read The Da Vinci Code right after I read the purportedly nonfiction Holy Blood, Holy Grail, which made it obvious to me that Brown had cribbed some of the main points of the latter, and added his own embellishments.

So, on to the actual societies featured in the article. As there are eight of them, I'll select only a few:

The Improved Benevolent and Protective Order of Elks of the World

It is well-known that you want to name your group something innocuous to hide the dastardly deeds they're doing. Like calling your dictatorship a "democratic people's republic," or your fascist movement "socialist," or your propaganda arm the Ministry of Truth.

In any case, come on, who hasn't heard of the Elks?

Around the turn of the 19th century, two Black men in Cincinnati were denied admission to the Benevolent and Protective Order of Elks of the World, an organization founded in 1868 with the goal of serving those in need. Barred from membership, Arthur James Riggs and Benjamin Franklin Howard decided to create their own order.

Hence the "improved" bit in the name.

The Odd Fellows

Interestingly, real skeletons appear in the order’s lodges; they are used during initiation to remind members of their mortality, the Washington Post reported in 2001.

"Do as we say, or this will be your fate."

The Ancient Order of United Workmen

While Elks and Oddfellows (along with Meese and Masons) are fairly well-known, I hadn't heard of this one. Sounds like it's time for them to make a comeback.

The Molly Maguires

Come on, now, even the article admits they made a movie about this one, so its existence is hardly a secret.

Still, known or not, some of these societies do operate in secret, which has certain advantages. If you really do want to do good in the world, without the inevitable pressure of the press, that's one way to go about it.

Or you could be trying to take it over for nefarious purposes. And that's the problem: Lots of these groups claim to be altruistic, but one can never be sure.

Now, if you'll excuse me, I'm late for my International Benevolent and Democratic People's Order of Malt meeting. It's kind of like the Knights of Malta,

only it's not Catholic, it's missing an 'a' at the end, and it's not-so-secretly about beer.

2 Like • Comment

© Copyright 2024 Waltz Invictus (UN: cathartes02 at Writing.Com). All rights reserved.
Waltz Invictus has granted InkSpot.Com, its affiliates and its syndicates non-exclusive rights to display this work.